diff --git "a/data/dm_maths/full_data_1/1251_11255.jsonl" "b/data/dm_maths/full_data_1/1251_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1251_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p(l) = l**3 - 15*l**2 - 16*l + 3. Let m = 58 - 42. Let f be p(m). What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 o when three letters picked without replacement from hhhhhhohhhhhohohhhhh?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1258 divided by 316\nAnswer: -629\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/109 (b) -4 (c) -32.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (25 - 27)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - 24. Let q(b) = 8*b - 71. Suppose 5*t = -6*s + 2*s - 26, -8 = 4*t. Let g(y) = s*q(y) + 11*w(y). What are the prime factors of g(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61, 23, -59, -191, -379?\n\"Answer: -l**3 - 16*l**2 + 17*l + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/60 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 245950.101299531 - 245950.1. Let t = 0.0013 - l. Round t to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43271 * -26.\nAnswer: -1125046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/759, 0.21, -2\/3 in ascending order.\nAnswer: -2\/3, 2\/759, 0.21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 + 137.999891. Round b to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 27*d**3 + 2*d - 1. Let l be j(1). Suppose 3*x + 4 = l. Let f be (-1625)\/(-200) + (-1)\/x. What is the greatest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.1 in -0.86, 1\/2, 1\/12?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j - 187*j - 1993 - 283*j - 6*j - 20*j + 1994.\nAnswer: -505*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a - 300 = -80*a. What is the lowest common multiple of a and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 362*i + 370. Let z(v) = -33*v. Let u(n) = x(n) + 11*z(n). Let h(a) = 3*a**2. Determine h(u(w)).\nAnswer: 3*w**2 - 2220*w + 410700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 7 = -5*s + 5, -s - 4 = -4*n. Let h = -2140 - -2143. Solve 2*l + 2 = l, h*l = n*j - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 18. Is 0 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1142 and 4566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - (-7 - -5)) + 15 + 1 + -15?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003921219 to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*a = -3*h + 240, 5*h - 3*a = 240. Let x = -242\/5 + h. Which is smaller: -1.3 or x?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*q**3 - 24794 + 24792 + 3*q - 6*q to the form w*q + i*q**2 + d + t*q**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:34 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 8*l - 10. Let f be z(7). Let o = 14 + f. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -3. Let g be 114*(t\/(-2) + 2). Is 20 a factor of g*((-16)\/12 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13*c)\/c**(-2\/9)*c**(5\/3)\/c*c**(-10) assuming c is positive.\nAnswer: c**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 838.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13.21148 weeks?\nAnswer: 2219.52864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 7*r**2\/2 + 10*r - 3498. Let k(o) = -11*o - 15. Suppose 2*w - y - y - 10 = 0, 0 = 4*y - 12. What is w*m(g) + 5*k(g)?\nAnswer: g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 614 - 1078. Let i = 531 + j. Calculate the remainder when i is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78792? (a) 0.2 (b) 0.07 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**2 - 12*t**2 + 9*t**2.\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 15, s: 3}. Give prob of picking 3 s and 1 y.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. Let m(t) = -t - 2. Let i be m(z). What is the nearest to 0.1 in 0, i, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l - 149 + 177. Let h(i) = 7*i - 10. Let a(q) = 8*q - 10. Let g(d) = -4*a(d) + 5*h(d). Let s be g(7). Solve -5*x = 2*t + t + s, -t = -l*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 81. Let i be a(-11). Suppose -2*o - 240 = -i*o. Solve 24 = o*l - 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/112)\/(4\/42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 330 (c) 8071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3270235 = -16*q - 993611. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135100438*u**3 - 28462*u**2 - 19*u + 21.\nAnswer: 810602628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 140*v**2 - 1818*v - 26. Let a be r(13). Which is greater: 2\/3261 or a?\nAnswer: 2\/3261","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - n - 7 = 0, 4*n + 10 - 30 = 4*m. What are the prime factors of 4\/2*m*(-16)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.294 - -128.294. Let k = -126.77 + t. What is k rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60988, -121981, -182974, -243967, -304960, -365953?\n\"Answer: -60993*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*m + x - 51, 5*m - 5*x + 105 = 0. Let n(c) be the first derivative of c**4\/4 + 6*c**3 - 13*c**2\/2 - 24*c + 1. List the prime factors of n(m).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 2\/5 (c) -25\/4 (d) -132 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 5*f - 8. Suppose -4*k - 16 = -0*k. Let t(d) = -d**2 - 4*d + 7. Let a(s) = k*q(s) - 5*t(s). What is the first derivative of a(r) wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22939.17 millilitres in litres?\nAnswer: 22.93917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 + 17*k + 731. List the prime factors of w(36).\nAnswer: 11, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 678 = -807 + 405 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 > -1354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(128))*-3 + 1 + sqrt(14)\/(sqrt(28)\/sqrt(4)) + (sqrt(2) - (sqrt(2) + -1)**2) + -5 + (sqrt(96)\/(sqrt(24)\/sqrt(2)))\/sqrt(4).\nAnswer: -19*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70082847 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -711, -731, -763, -807?\n\"Answer: -6*y**2 - 2*y - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l. Let a(d) = -5*d + 3. Let f(o) = -2*a(o) + 10*u(o). Differentiate f(w) with respect to w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6754, -8, 3 in descending order.\nAnswer: 3, 1\/6754, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 96 = -366. Suppose 4*k + z = 74. What is the nearest to -1\/5 in k, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16794, 21126, 25460, 29796, 34134, 38474?\n\"Answer: l**2 + 4329*l + 12464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6*g = -2. Suppose 2*l = -g*l + 24. Let h be l\/14 - 670\/(-70). Solve 0 = 2*f - 0 + h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*l, 9*r - 4*l - 33 = 4*r. Suppose -3*y - q = 51, -2*y + 6*y - r*q = -87. Let n = -8 - y. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 3*t**3\/2 - 15*t**2 + 13*t. Let i be w(8). What is the greatest common factor of 28 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/60 - 7*n**4\/24 - 2*n**3\/3 - 3*n**2. Let s(b) = -5 - 2*b + 4 + 0. Calculate -2*h(c) + 7*s(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 - 64. Let d be 25\/y - 22\/(-12). Suppose -p = 2*g, d*p - 5*g = 8 + 10. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 31. Let v(a) = -a**2 + 4*a + 18. Let i(g) = g**2 - 4*g - 18. Let j(f) = k*i(f) - 3*v(f). Is 33 a factor of j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6*5)\/((-3)\/(-9)) - 69692\/524. Let x(b) = -35*b**2 - b + 2. Let v be x(-2). Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_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: Put 3\/5, 5, -1\/5 in descending order.\nAnswer: 5, 3\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + -1 + (sqrt(7) - (-1 + sqrt(7) + -2)).\nAnswer: 2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -94 * 0.37\nAnswer: -34.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o - 4*o + 2*o)*(0*o + 0*o + o) + 4*o**2 + 0*o**2 - 2*o**2 - 5*o**2 + 4*o**2 + 0*o**2 + 4*o**2 - o**2 - 8*o**2)*(4*o**2 + 3*o**2 + 9*o**2).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -15. Suppose 23*u = h*u - 10. Calculate the remainder when 137 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 8*u**2 + 10*u + 11. Let c be m(-9). Suppose -c*l = 3*l - 45. What is the lowest common multiple of l and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 + 104. Let i = -1656\/7 + k. Let p = -124 - -618\/5. Sort p, 2\/11, i in descending order.\nAnswer: 2\/11, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(81) + sqrt(9) - sqrt(9))\/(2*sqrt(300) + sqrt(300)).\nAnswer: sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9955941?\nAnswer: 3, 23, 144289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:01 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/17486 and -7\/15857304.\nAnswer: 111001128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 7. Let k(t) = 4*t + 6. Let a(z) = 7*k(z) + 6*l(z). Let q(y) be the first derivative of y**3\/3 - 37*y**2\/2 + 110570. Give a(q(j)).\nAnswer: -2*j**2 + 74*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 509931 and 70.\nAnswer: 510001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b - 4. Let w be ((-10)\/(-6))\/((-3)\/(-9)). Let p be z(w). Let g(x) = 2*x - 2. Let d be g(4). Solve d*t = 2*t + p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 26*s = -360 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140011 + 13?\nAnswer: 140024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 469723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101212 + 101?\nAnswer: 102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from grrrgggrgggggrgg?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*p - 3*q, -5*p + q + 8 = -10. Let l = -6 - -10. Suppose -l*t + 48 = -4*w + 2*w, -4*w + 4 = 2*t. Solve 2*r - t = p*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*1\/((-9)\/(-6)). Let s be (5\/(-15))\/(g\/(-60)). Solve s = -5*y - 2*v + 30, -3*y + 3*v + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 9 = -2*g - 7, -28 = -5*d - 4*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18654 by -3.\nAnswer: -6218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 4930*w**2 - 671595*w + 2059020.\nAnswer: 5*(w - 1107)*(w - 3)*(w + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.09 (c) -7 (d) -0.05 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*j**2*n**5 - j**2*n - 3*n**2 + 9*n wrt n.\nAnswer: 10140*j**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + 1 - (-16 - -25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 19*h**2 + 47*h + 17. Let p be l(16). Which is the fourth smallest value? (a) 14 (b) 1\/7 (c) p (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**3 - 19550*m**2 - 292195*m - 272650 = 0.\nAnswer: -3895, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*(sqrt(65) - -2*sqrt(65)) - -2*(sqrt(65) - -2*sqrt(65)))\/(-2*1*sqrt(80)))*3.\nAnswer: -15 - 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2296, 4, 2\/7, 6.96?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - 166*c**2 - 54*c + 61. Determine j(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-252))\/(4\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*o + 11, 0 = -5*f + 2*o + 78 - 6. Solve -d = 2*d + j + f, -5*j = -4*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 99. Let f = 0 - n. Suppose f = -2*g + 4*k + 294, -2*g - 2*k = 3*g - 735. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(171) - sqrt(171) - (5 + 0 + sqrt(171)))**2*4.\nAnswer: 192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/55)*c**(-1\/13)*c*c*c**(-18)\/c**(4\/13) assuming c is positive.\nAnswer: c**(-11689\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12549 + -2302. List the prime factors of n.\nAnswer: 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/11 + (-10)\/(-55). Let a = 12 + z. Calculate the remainder when a is divided by (4\/6)\/((-4)\/(-18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20485 less than -405?\nAnswer: 20080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -y + 8, 0 = -4*y + 3*i. Let n(z) = -6*z**3 + 18*z**3 - 11*z**3 - 3*z - 2. Give n(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0390055702 rounded to six decimal places?\nAnswer: 0.039006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -392, 3 in descending order.\nAnswer: 3, -85, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -511, -1141, -2021?\nAnswer: -3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-2*sqrt(11)) + -1)**2.\nAnswer: sqrt(3) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108985.9 * -11.\nAnswer: 1198844.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 + -9689862?\nAnswer: -9689244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.8 - -24. Let y = h + 18.8. What is the closest to -1\/4 in 5, y, 60?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3 + 94*s**2 - 185*s + 92 = 0.\nAnswer: 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times -11\nAnswer: -1.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + (sqrt(833) - (sqrt(833) + 3*(0 + sqrt(833))))) - -2*(-5 + sqrt(833)*-1)*3)**2.\nAnswer: 3696*sqrt(17) + 120436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-7 + 17724\/(-8)). Suppose -m + 3*t + 2752 = 0, 3*m - 2752 = 2*m - 4*t. Let c = s - m. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*b - 132, -3*o - 64 = -5*o - 2*b. Let m = 4 + o. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/2)\/w))**(4\/19)*w**(-2\/5)\/w**(-4\/3)*((w**(-2))**(-4\/7))**(-2\/3) assuming w is positive.\nAnswer: w**(324\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89718*i + 89057*i = -51558 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39744, -37398, -35052, -32706, -30360?\n\"Answer: 2346*v - 42090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/13, 2\/3, 2, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/309 + -26\/103. Which is the third biggest value? (a) q (b) -2\/3 (c) -3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 3:10 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/11)\/f)\/f)\/(f**(6\/7)*f)*((f\/(f\/(f\/(f*(f**2\/f)\/f*f))))\/f)**(-5\/12) assuming f is positive.\nAnswer: f**(-1145\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -1. Which is the closest to 2\/9? (a) w (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 8. Let d(b) = -2*b + 3. Let t(y) = 2*y - 3. Let n be t(7). What is n*d(f) + 4*k(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * -6.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13827865063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 13) to base 7.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243)*3)\/sqrt(9) - (sqrt(27) + -3)*3) + 4 + 5 + 3)**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2187*c**5 + 3426*c**2 wrt c?\nAnswer: 131220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/7 and (2*(-45)\/100)\/((-2)\/(-4)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414097396 - -0.274\nAnswer: -414097395.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 8*k**2 - 6*k + 12. Let p(o) = 2*o**2 + 5*o + 4. Let l be p(-3). Is 8 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34990160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4227960851 to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25928 + -25057. What is the greatest common divisor of n and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 d when three letters picked without replacement from yypdkka?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*o**4\/5 + 5282*o**3\/5 - 55066*o**2\/5 + 6228*o\/5 + 2592\/5 = 0. What is o?\nAnswer: -72, -1\/6, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*m - 2, -4*k = 4*m + k + 10. Let a(r) be the first derivative of -r**2\/2 - 5*r - 281. What is a(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 602? (a) -14 (b) 0.08 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000123452 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1634 and -143\/9804.\nAnswer: 9804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8914734 centuries?\nAnswer: 89.14734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/9 and -139\/40554.\nAnswer: 40554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-24)\/3)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b + 8. Let o be d(7). Let n(g) = 4*g + o + 1 - 2. Let k(r) = -2*r**2. Calculate k(n(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 25*l + 242. Let g be h(-9). Let a(w) = 34*w - 22*w - g*w - 15*w. Let r(j) be the second derivative of -j**4\/4 - j. What is r(a(p))?\nAnswer: -1200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 5, m: 3, h: 4}. Give prob of sequence mm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -0*r. Suppose 3*t = -p - 19, -12 = -2*p - 629*t + 633*t. What is the tens digit of p\/1*(-52 - r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035175774 to 6 decimal places.\nAnswer: -0.003518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 8*q**2 - 11*q - 4. Let f(j) = -j**3 + 11*j**2 - 10*j + 6. Let z be f(10). Let m be i(z). Solve -4*w + 25 = 3*b, 0*b = m*b + 4*w - 22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -8. Let y(d) be the second derivative of j*d**2 + 1\/6*d**3 + 2*d + 0. Calculate y(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 3*l + 2*l**2 - l + 2 - l. Let d be m(-2). Suppose -4*w + 12 + 52 = d. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 2baa2?\nAnswer: 2baa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1432 <= 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 28*n - 25. Which is greater: n or 275\/2?\nAnswer: 275\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 256026425 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111122102 (base 3) in base 4?\nAnswer: -302132321","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**4 + 120603*w**3 + 1616160600*w**2 + 7219928040000*w + 7218312000000 = 0.\nAnswer: -13400, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoo when three letters picked without replacement from zzozzzoz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*t + 4*t**3 + t**3 - 2 - 48*t wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1401, 1573, 1745, 1917, 2089?\n\"Answer: 172*c + 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -429 + 461. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(6\/576*-2). Let q = -30 + n. Solve 4*y + 28 = -4*o, -o + 5 = q*y + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 12852710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/4)\/(3\/(-12)))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3269 and 254982?\nAnswer: 254982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t + 9 = 26*t. Let k = 21 - t. Calculate the least common multiple of k and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 5*f + 2364*f**3 - 2353*f**3 - 2 in the form t*f**3 + k*f + n + p*f**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106921897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -16. Let a(p) = 8*p + 29. Let l be a(-3). Suppose 6*b = c*q + 3*b - 232, -l*b - 196 = -4*q. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -388, -897, -1598, -2485, -3552, -4793, -6202?\nAnswer: -7773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {l: 9, z: 1, h: 1}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2\/3, -115.12 in ascending order.\nAnswer: -115.12, -2\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 less than -25?\nAnswer: -24.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**6\/2 + 503*j**4\/4 - 2102*j**3 + 2082. Find the third derivative of z(v) wrt v.\nAnswer: 180*v**2 + 3018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/7 + 62766*i\/7 - 28449160\/7 = 0 for i.\nAnswer: 460, 30923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1933, 7725, 17379, 30895, 48273, 69513?\nAnswer: 94615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 77, 51, -7, -109, -267?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + 14*x**2 + 4*x + 8. Let f(d) = -d**3 + 9*d**2 + 3*d + 5. Give 8*f(b) - 5*i(b).\nAnswer: 2*b**3 + 2*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 4 + 3 + (-2 - 1 + 5)*(2 - 3 - 2) + 0 - 1 + 2)*(-7*d + d + 3*d) to v + m*d and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 591 = -479 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, 4955 in ascending order.\nAnswer: -2, 19, 4955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 3*s + 4, 4*s = b + 12. What is the remainder when 9 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(400)*-1 - sqrt(400)) + sqrt(400))\/(sqrt(8) - (sqrt(8) - sqrt(504)\/sqrt(7)))*-1 + -5.\nAnswer: -2 + 55*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20684394.\nAnswer: 2, 3, 691, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, -76, -222, -440, -730, -1092, -1526?\n\"Answer: -36*d**2 + 34*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(3 + (sqrt(130) + -3*sqrt(130)*-1)\/(4*sqrt(10)*1)) + 3.\nAnswer: 48 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t - 104 - 22. Solve 138*z - 135*z - t = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5467006s to minutes.\nAnswer: 0.04244501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ffe1 (base 16) to base 7\nAnswer: 361656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:19 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -349*x**3 + 3*x + 2*x**2 - x**4 - 2*x + 2*x**2 + 444*x**3 to the form j + t*x**2 + h*x**3 + l*x + u*x**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 340 + 83. Calculate the greatest common divisor of p and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2482.07.\nAnswer: -2482.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c + 6. Calculate q(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -143*t. Let d(h) = 444687*h**2. What is v(d(a))?\nAnswer: -63590241*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4) + 0)*2. Is -244*(-4)\/16 - (-1 - t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2563*g - 176841. Calculate a(69).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10616461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7206, -5155, -1702, 3153, 9410, 17069?\n\"Answer: 701*a**2 - 52*a - 7855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 105786.1 grams?\nAnswer: 105786100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -36, -54?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1557, 270, -8 in decreasing order.\nAnswer: 1557, 270, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 126, 312, 588, 960, 1434, 2016?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*m - 4 = 0, -54*m + 59*m = 3*j + 5. Put 11, -66, j in ascending order.\nAnswer: -66, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -211. What is the remainder when f is divided by 3 - ((9 - 11) + -1*27)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3 - 13. Suppose x*d - s = 85 - 23, -5*d + 78 = -s. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -375*x + 49 - 3*x**3 - 2*x**2 + 31 + x**2 - 77 to m + h*x**3 + p*x**2 + j*x and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 0*d**2 + 2\/3*d - 24 - 2\/9*d**3. Find j, given that i(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 68*l - 34. Calculate the remainder when c(-43) is divided by 236.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*a + 25, 2*s + 8 = -a + 5*a. What is the second smallest value in 1\/4, a, -0.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-3 + 3 + 0. Suppose -12*y = -2*y - 460. Suppose 0 = 3*b + 34 - y. Solve 5*h - b*m - 26 = l, 2*m + 11 = 3*h - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, l: 4, p: 2, w: 1, e: 5, r: 3}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96923 is divided by 2016.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -0.67574?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -20.58, 2, 1\/3, 7474?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5003 in -69, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023223326 rounded to 7 decimal places?\nAnswer: 0.0000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s**3 - 5*s**2 - 9*s + 1. Suppose -88*j = -81*j + 21. Does 9 divide q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24648020021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 6 + t - 3*t**3 - 4 + t**2. Let d be g(2). Suppose -6 = -d*i - i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 5123 + 2672 - 7795.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Sort j, 0.2, -0.3 in descending order.\nAnswer: j, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, 4, -43, 9 in decreasing order.\nAnswer: 9, 8, 4, 3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1756 + -1616. What is the greatest common divisor of p and 480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -177, 4, 499, 1464, 3055?\n\"Answer: 26*c**3 + c**2 - 4*c - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -237 < -235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/8 - 137*h\/4 + 2505 = 0. What is h?\nAnswer: -334, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 231*a**2 + a + 2. Let p(q) = 1379*q**2 + 6*q + 11. Determine 6*p(b) - 34*v(b).\nAnswer: 420*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 8*m**2 - 3*m**2)*(1 - m**2 - 1) - 10*m + 10*m - 8*m**4 - 2*m + m**4 + 2*m + (-4*m + 2*m**2 + 4*m)*(-1 - m**2 + 1) - 3*m - 2*m**4 + 3*m.\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 28*x**2 - 69*x - 194. Calculate the least common multiple of 24 and q(-29).\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5968.089 nanograms?\nAnswer: 5.968089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7018.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 9 = 5*j, 5*p = 4*j - 5*j + 11. Let q be 1*-2 + (j - -4). Let x(o) = -o**3 + 2*o**2 + 4*o - 1. What is the units digit of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 57*z**2 - 3*z - 2. Does 40 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, t: 2, i: 2, v: 2, y: 4}. What is prob of picking 1 t, 2 f, and 1 y?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 117379852 a multiple of 421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 29b4d?\nAnswer: 29b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 506 or 168?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 332 + 0?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(55)\/(sqrt(40)\/sqrt(8) + sqrt(5)))**2 + ((sqrt(110) - 4*sqrt(110) - sqrt(110))\/sqrt(10))**2).\nAnswer: -715\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/2*-2*(-9)\/(-1800)*-4. Which is the third smallest value? (a) -1\/4 (b) q (c) 0 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 29. Solve 6*o + 9 - 27 = p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 9*r + 4. Let w be h(-7). Let y be w\/(-18) + 1\/2. Which is the second smallest value? (a) -1 (b) y (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857397.7 years in decades?\nAnswer: 85739.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523012 - 6.79?\nAnswer: 2523005.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 1. Let s(i) = -3*i**2 + 17*i + 5. Give 5*r(a) - s(a).\nAnswer: 3*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35222 rounded to three dps?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(3)*4)\/((sqrt(64) - sqrt(64)*-1)\/sqrt(8)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32352140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -540*v**2 + 72*v + 178*v**2 + 183*v**2 + 16 + 181*v**2 to the form f*v + j*v**2 + i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.8 - 6. Let i = 1.5 - -0.5. What is the third biggest value in c, i, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 7a?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -24. Let s be i\/(-1*(-4)\/8). Let n(p) = -3*p. Let r(g) be the second derivative of -g**3\/6 - 2*g. What is s*r(z) + n(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2605 and 16435987?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18834161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-46) - (-9)\/276*5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-1560)\/(-364))*144\/(-4872).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o - 9. Let w(v) = -2*v**2 - 21*v + 14. Let x be w(-11). Suppose i = l + 1, -x*i + l + 3 + 4 = 0. Let r(n) = 4*n - 4. What is i*s(z) - 7*r(z)?\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4785\/(-11020))\/((-9)\/24). Factor 0 + l*o**2 + 0*o + 2\/19*o**3.\nAnswer: 2*o**2*(o + 11)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**5 - 39*h**4 - 3174*h**3 - 2964*h**2 + 12648*h + 12480 = 0.\nAnswer: -26, -2, -1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - 11. Which is bigger: -26 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 907.9 - 967. Let s = n + 47. Let c = s + 12. Is c at most as big as -21\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*q - 30, 0*h - 2*q + 26 = 4*h. Suppose -z = 4 - 0. Let v = -2.0912 - -1.1912. What is the smallest value in z, h, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 40 = 14*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151 + -166306?\nAnswer: -166125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3378)\/22520)\/(6\/20))\/(2\/((-44)\/(-1)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)\/w)**45\/(w**0)**49 assuming w is positive.\nAnswer: w**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15381 - -16346. Does 85 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7866*k**4 + 9*k**3 + 300541*k**2.\nAnswer: -188784*k + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*p**5 + 184*p**3 - 216*p**3 - 2*p + 5*p**5 + 1773 - 19*p**5 wrt p?\nAnswer: -280*p**3 - 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/155 - -317\/1085. Let m = -102 - -1225\/12. Put m, 5, r in ascending order.\nAnswer: m, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -8149, 0.107, 11, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. What is the units digit of 8*(2 - q\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 10*o - 7. Let x be u(-9). Suppose -3*w + l + 2 = 0, 0*l = 2*w - l - x. What are the prime factors of 5 + 0 + w\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -15. Let q be -1 - (2\/(-6) + 0\/(-3)). What is the closest to q in 2, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 106300*f + 564984500 = 0. Calculate f.\nAnswer: -10630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167 by 1.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 230104900 to the power of 1\/2, to the nearest integer?\nAnswer: 15169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 25 = -16*q. Let n be (-3)\/(-3) + (-7)\/q*-1. Which is the third smallest value? (a) -4 (b) n (c) 2\/5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*-0.02.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 2, -5, 19, -4, 3, -8001 in decreasing order.\nAnswer: 19, 3, 2, -4, -5, -59, -8001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*b - 216*b + 868*b - 211*b - 219*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 378*d + 382. Determine m(-125).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173029.\nAnswer: 23, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 3, 3.2 in ascending order.\nAnswer: -3, 0.5, 3, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 245 = 4*t - 334. What is the remainder when 1678 is divided by t?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/10)\/((-2)\/(-20)). Calculate the greatest common divisor of 32 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.8 + 19. Let w = -5 + 3. Which is the nearest to -0.3? (a) w (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e264 + -10a?\nAnswer: -e36e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196003\/17 - 11527. What is the nearest to -1 in 3, j, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68955763?\nAnswer: 4261, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11144 - -11150.0005. Let c = h - 6. What is c rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 344 + -241. Suppose -b - r = 3*i + 49, -3*b = -3. Are i and -50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 2:15 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1370*z**3 - 2744*z**3 + 1376*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/205 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 5*z + 2, 0 = -q + 98*z - 101*z - 4. Let a(x) be the first derivative of 10 - 20\/3*x + 25\/6*x**q - 5\/9*x**3. Factor a(y).\nAnswer: -5*(y - 4)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let k = v - -3. Let u = 4.0000036 - k. Round u to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 7*p**2 + 10*p + 11. Let w be d(-8). Let j = -13\/3 - w. Which is the nearest to j? (a) -0.2 (b) 0.5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/36 - 6\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, 3\/11, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18076036 is divided by 157.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, c: 2, o: 2, y: 2}. Give prob of sequence ccwo.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a week in minutes?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15514*0.1937\nAnswer: 3005.0618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 32 (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.95 + 201.95. Let h = p - 205. Let z = 0.6 - 0.1. Which is the second smallest value? (a) z (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 44\/(-6))*42\/(-14). Suppose -21*y - 12 = -p*y. Solve -y*r - 4 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*5 + 9\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 2*w**2 - 3*w. Let u(j) = 5*j**3 + 6*j**2 - 8*j. Let i(z) = -5*z + 12. Suppose 2*p - 1 = 7. Let q be i(p). Give q*o(s) + 3*u(s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*d + 3*v, 0*d + 4*d = 4*v - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*l**3\/11 + 13214*l**2\/11 + 3304*l\/11.\nAnswer: -2*l*(l - 1652)*(4*l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/213 - 136\/639. Let a be -60 + 51 - 7\/(-1). Let t(j) = -2*j**2 + 15*j + 33. Let i be t(a). Put 4, -0.5, i, r in ascending order.\nAnswer: i, -0.5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 352 - 344. What is the remainder when 17 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3487 - 4335 = 412*y - 818 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125? (a) 5\/4 (b) 130 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15958 and 632.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 280 = 5*v, -3*v - 3*p = -7*p - 167. Suppose -12*r + 21 = v. Let q = 287 + -1139\/4. Sort 3, q, r in ascending order.\nAnswer: r, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-376)\/(-470)*2\/((-6)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnn when three letters picked without replacement from {d: 8, n: 4, x: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -5*u - 105. Let l = 23 - u. Solve -5*k - 15 = l, -3*k = 5*j + 2 + 7 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -586.\nAnswer: 5\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*u + 114, -2*u - 5*t + 194 = 53. What is the lowest common multiple of 81 and u?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(6*c - 5*c + 2*c)*(6 - 92398*c + 33 + 92399*c) as f + s*c + o*c**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + l + 591 = 0, 0 = -4*l + 4. Let q = 555 - t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(156\/12) - 52\/(-25).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1384 + c + 111*c**2 + 1385 + 0*c. List the prime factors of u(-1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69.2 + 69.19509. What is b rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30501270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4126559 centuries?\nAnswer: 41.26559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 x when three letters picked without replacement from {r: 1, x: 2, h: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 1197*c - 5910.\nAnswer: -3*(c - 394)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/3 + 14*b**4\/3 + 8*b**3 - 2*b**2\/3 - 25*b\/3 - 4.\nAnswer: (b - 1)*(b + 1)**3*(b + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -19*g**2 + g + 3. Let w(f) = 18*f**2 - 2*f - 4. What is 4*l(u) + 3*w(u)?\nAnswer: -22*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 6*n - 6*n + 8*g + 108, 2*n + 5*g = -0*n - 93 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954\/(-3165)*21\/28?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3991 divided by -8266\nAnswer: 3991\/8266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = s + a - 6*a, 0 = 2*a - 8. Calculate the greatest common divisor of 119 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 14) in base 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(2 + 1 - 2)*(4 - 3*p - 4)*(-3*p**2 + 0*p**2 + 5*p**2).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*z - 65*z - 41*z)*(5*z**4 - 30*z**2 + 30*z**2).\nAnswer: -405*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w - 4. Let l be z(3). Find the common denominator of (-18241)\/4060 + l\/(-10) and 17\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -421236.5095 - -10.5095. Let s = -421225.5199728 - q. Let z = -0.48 + s. What is z rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 333 + -3665\/11. Let k = -6\/73 + -92\/657. Which is the third smallest value? (a) -7 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i**3 - 7*i**3 + i**5 + 2*i + i**5 - 2*i + (-2*i**5 + i**2 - i**2)*(1 - 2 + 0) - 6 + 6 - 6*i**5 - 2*i**5 - 2*i + 2*i.\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.40009 times 0.3?\nAnswer: -57.120027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 20, 332 = l - 4*c + 25. Let b = 758 - l. Suppose -4*y + b = -3*x, -3*y = 4*x + 83 - 375. What is the greatest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -32, 5, 3, -2, -3, -33 in increasing order.\nAnswer: -33, -32, -3, -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/20 and 71\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/(-32))\/(-1 + -2). Let p = -119425\/192 - -622. Let w = 403\/3648 + p. What is the second biggest value in k, 4\/3, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1225707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17613*w - 1437 = 17635*w + 59 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6538 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w - 702*w**3 + 5*w + 699*w**3 + w**4 - 2*w in the form k*w**2 + z*w**4 + f*w**3 + n*w + d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:22 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7350)\/(-18))\/(-25) + 15 + 304\/(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3 + 91502*x**2 - 1372180*x + 4573600 = 0?\nAnswer: 5, 10, 45736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1053\/(-117)*2\/(-6)*(-1)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8784 and 236924?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 10.2. Suppose -9*i + 2 = -10*i. What is the closest to i in d, 4, 3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 291 - 568 + 2*n**3 + 278 - n**2 - 58*n to the form o*n**3 + q*n**2 + f + k*n and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-415)\/3652)\/(75\/(-15)*(-1)\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*c + 240 - 42 = 0, -5*c + 153 = 2*d. Suppose -d*l - 32 = -65*l. Which is greater: -13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1636, -2570, -3500, -4426, -5348, -6266?\nAnswer: -7180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -277 + 33 + 245 + 1 + -1 + 112?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + 4 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 3:04 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 41 - (-46266)\/1254\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2552 and 2345926?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkpj when four letters picked without replacement from kpkppaakpkaokkojpo.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, -2, -89 in increasing order.\nAnswer: -89, -2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*g**3 + 1750*g**2 + 766*g - 936.\nAnswer: 2*(g + 1)*(g + 36)*(24*g - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 340 - 339. Which is bigger: 159 or d?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 10 + p + 10*p - 7)*(-578*p - 511 + 511).\nAnswer: -7514*p**2 - 1734*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-1 + -2)\/(-3). Solve -q + 4 = d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51937*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5, c: 3, u: 3, k: 1}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - 4c88a?\nAnswer: -4c8b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 216.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, 121.\nAnswer: -2, 0, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29463 + 883783\/30. Calculate the common denominator of 137\/140 and w.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52793.\nAnswer: 13, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/5 of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69520 and 2200?\nAnswer: 347600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oai when three letters picked without replacement from iooaaaaiaaae.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48704415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Suppose -2*n = 4*f - f + 4, 0 = 4*n + 4*f + 8. What is the units digit of r*(-106)\/n - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - 31121130?\nAnswer: -31121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341070956*f**2*t**3 + f*t + 62*f - 125*t**3 - 255*t wrt f?\nAnswer: 682141912*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 6*s - 4. Let g = -8 + 16. Suppose g*y = y. Suppose y*w = -w + 6. Calculate r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25051 - 212?\nAnswer: 24435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = 26*c - 1425. Let o be c*(-3)\/(-9) + -4*1. Solve o*h - 16*h + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 488312554487 + 488312554487.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 118\/(-8) - 1\/4. List the prime factors of ((-8)\/(-5))\/((-3)\/a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 6*f - 158. Let z be ((-10)\/5 - 83)*(-1)\/(-1). Calculate the common denominator of z\/f - (-6 - -3) and -27\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/854 + -27323\/4270. Let x = b + 298\/45. What is the nearest to 1 in 3, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217276 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (38\/(-5))\/((-84)\/2940). Let u = y + -246. Calculate the remainder when 113 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59311037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.354 + -0.834. Let c = 33 - 33.38. Let w = c - b. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 1:19 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/49 - 1*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:21 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1025 (base 6) to base 9\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101522402 (base 6) to base 16.\nAnswer: 1afb82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by -126.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 10) in base 9?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - 14\/(-35). Solve m = -4*o - 4*g - 20, o + 1 = g - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 + -0.4. Let l be 4\/8 - (-19)\/12. Let z = l + -7\/4. What is the second biggest value in v, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - v + 20 = -37, -3*d + 41 = 4*v. Suppose -2*k + 6 + 19 = 3*g, -k - g + d = 0. Solve 4*q + k = 0, 5*u - 2*q - 9 = -0*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 19*h - 4*n = 86, -4*h + n + 93 = 0. Calculate the remainder when 122 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40053271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 49*a**3 - 13*a**3 - 16*a**3 - 18*a**3 + 51*a.\nAnswer: 2*a**3 + 44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 59 = -w. What is the remainder when w is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)*g)**41 assuming g is positive.\nAnswer: g**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170031464\/9 + 467030\/9*j**3 + 1670\/9*j**4 + 171872960\/9*j + 44356010\/9*j**2 + 2\/9*j**5 = 0 for j.\nAnswer: -277, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in 6, 0.01, 1, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*((7 + 7*l - 7)*(-2 + 0 + 1) + 0*l + 3*l - 5*l).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2\/13 - 28264296*f\/13 + 99858803546952\/13 = 0.\nAnswer: 7066074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.30811*4.\nAnswer: -61.23244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*r, 5*m - 35 = 3*r - 14. What is the derivative of 13 - 2 - 2 + 10*h**m wrt h?\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51564.63 to the nearest 100.\nAnswer: -51600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 11 - 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32034833 rounded to 4 dps?\nAnswer: 0.3203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 39*b**2 + 24. Let k(y) = -77*y**2 - 54. Calculate -4*k(s) - 9*v(s).\nAnswer: -43*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 5*k**2 + 0 + 1\/6*k**3 + 26*k. Give a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177\/2 - -91. Let r = 0.2318 - 0.0218. Sort -4, r, x.\nAnswer: -4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3482693 * 183\nAnswer: 637332819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:03 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 600 - -2?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d87 - 3?\nAnswer: d84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 319956966 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m - 20. Let g be (33\/6 - 2)*64\/112. Let w be t(g). Which is smaller: w or -32\/7?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4695581\/235 + -19981. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 - 18674*c + 18676 = 0. Calculate c.\nAnswer: -9338, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2004.531ml?\nAnswer: 2.004531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (8 - 12) + 8 + 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/16)\/((-2)\/(-12)). Suppose 2*b - a = -b. Let y(x) = -x**3 + 3*x**2 + 6*x - 7. Is 11 a factor of y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995*b + 190*b + 30043 = 122473 for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -479 - -480. Let u(s) = -1. Let g(k) = 11*k - 22. What is b*g(l) - 22*u(l)?\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -125.0306 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99073747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-11246820958\nAnswer: -11246820958.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 230*s**2 - 692*s - 1629. Give k(233).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 6:58 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 12192 = -156. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/5146 + 203619\/164672. Find the common denominator of (10\/(-36))\/((-3890)\/(-96861)) and j.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -3, -4, -139, 5, 0 in increasing order.\nAnswer: -139, -4, -3, 0, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1cb + -8?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 + 45*b**2 - 24*b + 45. Let m be c(22). Sort -4, m, -35, -2, 3 in decreasing order.\nAnswer: 3, m, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(612) + -4 + -3*(sqrt(612) - (1 + sqrt(612))))*-5 + -3 + sqrt(612)*3 + sqrt(612) + 4*(-1 + sqrt(612)) + sqrt(612))**2.\nAnswer: 24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52864 and 63616.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 51*r + 105. Calculate the remainder when w(13) is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = 6*w. Solve -1 = -3*p + w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -827, 1.\nAnswer: -827, -26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770505 and 19995.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(156)\/(sqrt(120)\/sqrt(10)))*3 + (sqrt(104)\/sqrt(8)*-3)**2*6.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5292\/1274*(-5005)\/(-165).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174 + 180. Let g = d - 5. What is the closest to g in -4, 0, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svpoisisvojivpv. What is prob of sequence ipis?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4727, 5053, 5391, 5741, 6103?\nAnswer: 6477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 281094859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Suppose -o*i - 9 = -i. Let x be (-3)\/(-15)*(0 + i). Which is the nearest to 0? (a) -0.5 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 18*o - 2*o**3 + 9*o - 27*o in the form r*o**3 + q*o + w*o**2 + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 66 = -n + 94, 4*n = 3*d - 20. Solve 0 = 4*a - d, -a + 2*a + 12 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31945 is divided by 417.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2191 (base 12) to base 16.\nAnswer: e7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k**3 - 212*k**2 + 212*k**2.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1. Suppose -19*z = -10 - 9. Let y(c) = 6*c + 3. Calculate z*y(t) + 3*i(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30011410 + 10?\nAnswer: -30011400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/27 + (-76)\/18. Let x be (6\/(-4))\/((-15)\/(-6)). What is the closest to -2 in o, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (496\/64)\/((-1)\/4). Let u = a + 75. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/(-357)*-3*2\/4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 609 - 633. Which is the fifth biggest value? (a) p (b) -5 (c) 0.1 (d) 0 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2366064 by 9.\nAnswer: -262896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/5612 and 59\/394670.\nAnswer: 18154820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4486 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let a = 0.5 + i. Let o = -73514 - -73514.1. What is the nearest to 1 in o, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -10\/13559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + h)*(-3*h + 2*h + 0*h) + (0*h**2 - 4*h**2 + 2*h**2)*(-2 + 3 - 2) + 0*h**2 - h**2 + 2*h**2 + 3*h**2 - 3*h**2 - 2*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19375)\/(-3750))\/((-5)\/(-1320)*11).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dzdddzddddddddzzdddd?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(66)\/(-5*sqrt(6)\/sqrt(3)))\/(-2*sqrt(539) + sqrt(539)*-2 + sqrt(539)).\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o = -b - 16, -o - 5*b = -15. Let n(g) = g**3 + 6*g**2 + 5*g + 6. What is the remainder when 22 is divided by n(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5712 divided by -24?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -0.18, 0.5 in descending order.\nAnswer: 3, 0.5, 0.1, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a day in hours?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11167, -11168, -11169, -11170?\n\"Answer: -z - 11166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 + 732 = 5*y. Suppose -a - 3*a - 300 = -4*s, -a - 81 = 5*s. Let h = a + y. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*u, 2*z - 25 = 5*u + 11. What is the third derivative of -z*x**4 - 2*x**2 + 4*x**4 + 0*x**2 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54720 divided by 114.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 376342\/113 smaller than 3330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 + 1589*b**2\/4 - 158006*b + 157609.\nAnswer: -(b - 794)**2*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -5*h + 4*m, -3*h - 4*m - 8 = 0. Suppose h = -8*b + 6*b + 6. Solve -7 = -b*s + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 59*f - 1165. Determine z(20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -591354.3 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2496 and 25344.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 144*j + 3496. Give q(36).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 798*r**2 + 19 + 25 - 76 as o*r**2 + d + b*r and give o.\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j - 6 + 6)*((j**2 + 7*j**2 - 2*j**2)*(-4*j**2 + 5*j**2 + 3*j**2) + 3*j**4 + 4*j - 4*j - 3*j**3 + 2*j**4 + 3*j**3).\nAnswer: -899*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (291\/100)\/(-27 - 2553\/(-92)) - 4\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 <= -233842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let s be g(-2). Suppose 2*d = s*d - 16. Calculate the lowest common multiple of 960\/44 - d\/(-44) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 5133?\nAnswer: -5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 33*u + 37. Determine b(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 14 + -1 + 10 + -10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 620484 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r + r**4 - 3*r + (-178 + 178 - r)*(-4*r**3 + 7*r**3 - r**3).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20826 + 56605. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 21*q**2 + 1. Let s = 3 - 3. Suppose s*y + 6 = -3*y, -y = 5*m - 108. Calculate the smallest common multiple of g(1) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d**3 + 140*d**2 + 23*d + 170. Let z be f(-10). Suppose 0 = 4*l + 250 - 6. Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 117*i**5 + 4*i**3 + 4*i**2 - 121*i - 1. Let m(c) = 2*c**5 - c**3 - c**2 + c. Let a(h) = -4*m(h) - q(h). What is the second derivative of a(b) wrt b?\nAnswer: -2500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-588)*-6*-77\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905187 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 17. What is the greatest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-30)\/(-3))\/1)\/(-1). Let s be (4\/v + 0)*-10. What are the prime factors of (-3 - s)*(-12)\/14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -916853 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -565 - -565. Which is the third biggest value? (a) z (b) 2\/423 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325 * 46.\nAnswer: -14950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392.87 - -393. What is the nearest to h in -4, -1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5372 + -123520\/23. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22331131\/9 - -2477894. Let g = v + 3339. Let u = -220 - -819\/4. Find the common denominator of g and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -288*x**4 - 4272*x**3 - 18434*x**2 - 19224*x - 5832 = 0.\nAnswer: -27\/4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 247.566 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0 + 2)*(-36*j**4 - 33*j**4 + 20765*j - 20758*j) - 2*j**4 + j**4 + 3*j**4.\nAnswer: -343*j**4 + 35*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82773701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 + 9 + (5 - 4 + 3)*(-35 + 5 - 4))*(-2*r**3 - 5*r + 5*r).\nAnswer: 238*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.353 - -1.353. Which is the closest to -1? (a) 0.05 (b) 0.9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23070, 57617, 92164?\nAnswer: 126711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - w + 33. Determine s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 + 12 + 6\/45\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 372918560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259442 is divided by 7865?\nAnswer: 7762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*c = 5*c. Let f(j) = -j**3 + 3*j**2 - 2*j + 3. Let w be f(2). Solve -w*x + c = 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181\/5 - -36. Let v be (2\/(-8) + 0)*-6*-158. Let d = 1181\/5 + v. What is the closest to 2\/3 in o, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/3*6\/(-2). Suppose -7*j - 13 - 43 = 0. Is j\/i + 541\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 4\/3, 13 in decreasing order.\nAnswer: 13, 4\/3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55756784*c**4 - 26225212 wrt c?\nAnswer: -223027136*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142051878 to the power of 1\/2, to the nearest integer?\nAnswer: 56054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 21. Sort -3, c, 2 in increasing order.\nAnswer: -3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 2*t**6\/5 - 151*t**3\/6 + 2461*t**2 + 260*t - 2. What is the first derivative of d(k) wrt k?\nAnswer: 48*k**3 - 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*w**2\/3 + 850*w\/3 + 1445\/3 = 0 for w.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**4\/12 - 7*n**3\/3 + n**2. Let f(z) = -53*z - 166. Let g be f(-3). Let c be i(g). Solve -r + 3*r - 2 = c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10153035, -20306070, -30459105?\n\"Answer: -10153035*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2 - 8. Which is the closest to p? (a) 2\/5 (b) 2\/29 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w - 35*w = 7*s - 59, 19 = -4*s + 3*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 104397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a minute in seconds?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-5))\/((-27)\/(-90)). Let i(p) be the third derivative of 0*p + 0 - 1\/3*p**3 + 0*p**4 + 1\/30*p**5 - r*p**2. Differentiate i(f) with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3*(-3)\/(-2). What is the biggest value in 1\/6, 2\/19, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 276 = -7*n. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 130 = -10. Is (499\/3)\/(2\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -3*o**2 - 5*o - 4. Let n(w) = 13*w + 11. Let x(j) = 5*d(j) + 2*n(j). Find the first derivative of x(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271851, 543680, 815509, 1087338, 1359167, 1630996?\nAnswer: 1902825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349253680 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44439?\nAnswer: 3, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 1990 = 3764. Calculate the common denominator of (-12)\/(-108) - g\/(-648) and -13\/3.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202873250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(252).\nAnswer: 3 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53114294 and 23620?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 93*c**3 + 9*c**2 - 9*c + 169. Let x(k) = -23*k**3 - 2*k**2 + 2*k - 42. Let z(t) = 2*i(t) + 9*x(t). Find the first derivative of z(b) wrt b.\nAnswer: -63*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -y + 23, y = 6*y - z - 11. Suppose 1 = -4*b - 3*s - 11, -4 = s. Put 5, y, b in ascending order.\nAnswer: b, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(2 + sqrt(180)))**2 + (1 + (-3*(sqrt(5) + -1)**2 - sqrt(5) - sqrt(5)))*4.\nAnswer: 40*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -36*s + 88. Let u(i) = 35*i - 101. What is -4*a(g) - 3*u(g)?\nAnswer: 39*g - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 961 or -167?\nAnswer: 961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329199 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003278984683 rounded to seven dps?\nAnswer: 0.0000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207359 (base 10) to base 13.\nAnswer: 734c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c261 - -3?\nAnswer: -5c25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*m - 10 = 2*a, -3*a - 5*m + 37 = 0. Suppose -a*u + 9 = -5*u. Let c = u + 234. Calculate the greatest common factor of 25 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + -1. Let n = 16 + c. Let m(l) = -l**3 + 8*l**2 - 10*l + 6. Is 5 a factor of m(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 23*m - 10. Let l(p) = 641*p**2. Calculate q(l(s)).\nAnswer: 14743*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23313363 to the nearest integer?\nAnswer: 4828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 4 - 62 + 136)*(10*x**2 + 4 - 4) to the form l*x**2 + d*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178840 and 178840?\nAnswer: 178840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -42*((-12)\/(-8) - 2). Let w = 18 - p. Let g be 1832\/12 - 1\/w. Calculate the highest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62619*k**3 + 217217*k**3 - 31183*k**3 + 60496*k**3.\nAnswer: 309149*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 10 + 0)*(-7*w - 5*w + 9*w + (-3 + 2*w + 3)*(-3 + 1 + 0))*(9 - 9 - 5*w) to k + h*w**2 + q*w and give h.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131770 is divided by 229?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 70542?\nAnswer: -7054.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37296989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7604*-5958\nAnswer: 45304632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Suppose 0 = 2*c + 4*v - z, 2*v = 6*v + 16. Suppose t - c = -0. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 71 = 5*w + 58, 2*w - 8*j = -22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 46446591?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4872004, -4871960, -4871914, -4871866, -4871816?\nAnswer: -4871764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + 1*(sqrt(147) + -3) + sqrt(147) + -2*(-3 + sqrt(147) + sqrt(147)))*-3.\nAnswer: -42*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + (3 - 4) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689 - 4*d + 729 + 720 + 733 - 2871.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*p + 7108 = -7131 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - z + 1. Let n be b(1). Let h = 12 - 12. Let f = n - h. Which is smaller: f or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33898.4 plus 7479805?\nAnswer: 7445906.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12208 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 = -537*u + 572*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19445.21 to the nearest one hundred.\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/12, 14\/5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.38468564 to two decimal places.\nAnswer: -4.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72014661.\nAnswer: 3, 71, 251, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3439337813.\nAnswer: 17, 202313989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4080 by -816.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 8 + 33*c - 35*c.\nAnswer: -2*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -797.97 - -791. Let j = z + -52.83. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 697 - 697 - z - z + 3*z - z + (-2*z - 3*z + 3*z)*(-5 + 4 - 1) + (4 - 2 + 0)*(-z + 2*z + 0*z) + 1 - z - 1 - 7*z + 4*z + z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14452 - 14448. Solve 3*m - j = -4*x, -4*x + m + 22 - 18 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 32 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 12. Let i be -1*(-2 - (c + -3)). Calculate the highest common divisor of 54 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5424\/73 >= -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 583 = -520 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j = -20. Sort -2, j, 0.2 in ascending order.\nAnswer: j, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 36 = -5*k. Suppose -4*l + 3*l + 5*r = -15, -3*r - k = 2*l. What is the units digit of -3 - (l - 3) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25099.11ml to litres.\nAnswer: 25.09911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.2. Let c = -1\/259 + 299\/777. Let z = c + -46\/231. Is z < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2333, -2342, -2381, -2456, -2573, -2738, -2957?\nAnswer: -3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 14) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 17\/2)\/(140\/(-42 - -112))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:30 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24152.3+0.054\nAnswer: 24152.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/r)**(-14))**(-27) assuming r is positive.\nAnswer: r**(-2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let s(h) = -h**2 - 55*h + 236. Let w be s(4). Which is the nearest to w? (a) d (b) 4 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -2.5. Let m = -1 + 0.9. What is the nearest to m in 2\/13, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x. Let j(r) = 47*r**2 - 5*r - 7. Let y(h) = -j(h) - 5*z(h). What is the first derivative of y(s) wrt s?\nAnswer: -104*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 4*x + 2. Let m be k(2). Suppose -3*s - 3*w = -m*w - 171, -3*w + 221 = 4*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1363*o**2 - 2*o + 4. Let m(n) = 1359*n**2 + 3*n - 6. Calculate -3*l(y) - 2*m(y).\nAnswer: 1371*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134990495.\nAnswer: 5, 26998099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*h + 28 = 292, -3*x - 3*h + 246 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/96*9\/6*104\/(-143).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 7}. Give prob of sequence hllh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399 is divided by 305?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2405 = 32*t - 33*t - 5*g, 2*g = 10. Is t a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -14. Suppose 5*w + 4*t = -t + 25, -4*w - 20 = -k*t. Let l = -32 + 65\/2. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171\/52 + 46\/13. Which is the second smallest value? (a) i (b) -2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3*(-4)\/6). Let g(s) = -x*s**2 - 22*s**2 + 5*s**2. Let r(a) be the second derivative of -a**3\/3 + 4*a. Determine r(g(b)).\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 1, u: 2, a: 2, q: 2, d: 1}. Give prob of picking 1 q and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 6342 - 25004 = 11*r. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379 is divided by 230.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 + -98. List the prime factors of l.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315732567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -639.192943 rounded to zero dps?\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2419683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Let t = -0.1 + 5.1. Let v = 6 - t. What is the third biggest value in v, 4, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 5052.\nAnswer: 126300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - (-1972 + 2)) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = 0, -17*p + 13*p = 2*r - 52. Solve 16 = -4*k + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-4))\/(-1) + 2. Let i = -102.925 + 103. Let k = -1.925 - i. Which is the closest to k? (a) -1 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.5 * 6840\nAnswer: -133380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1013863185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -2 + 4\/(-2) - -32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5498554.\nAnswer: 2, 2749277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (11 - (-28 - (-15 - -9) - -2))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 373*i**2. Let a(o) be the second derivative of o**4\/6 + 1277*o. Determine a(w(v)).\nAnswer: 278258*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14a77 (base 13) to base 12\nAnswer: 1a795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, a: 2}. What is prob of sequence llal?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*z**3 - 48\/7*z**2 + 0 + 44\/7*z.\nAnswer: 4*z*(z - 11)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 517 - 55 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/13 + 861\/273 - 10. Is i at least as big as -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Let t(o) = 4*o**2 + 6. Let j(i) = -4 + 5 + 5*i**2 + 6 - 2. Let m(l) = -6*j(l) + 5*t(l). What is m(q(z))?\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*k + 18, -3*k - 4*n + 26 = 2*k. What is the third derivative of -24*q**4 + 12*q**4 + 23*q**2 + 3*q**k wrt q?\nAnswer: -288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**7\/1260 + 4*g**4 + 24*g + 2. Let i(q) be the third derivative of z(q). Let k(f) = 2*f. Give k(i(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/30 - h**2 + 6*h. Let m(a) be the second derivative of -5*a**4\/6 - 2*a. What is k(m(n))?\nAnswer: -200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157043?\nAnswer: 97, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/16*-4 + (54\/12 - 4). Let i(m) be the second derivative of -5\/12*m**4 - 5*m**3 + w*m**2 - 24*m + 0. Solve i(q) = 0 for q.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2662.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219625 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 7*u + 8 = -15*u + 3*a, 3*a = -12 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404500 and 28900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -238*l**4 - 406500*l**3 - 171932936*l**2 + 1404546000*l - 23557248 = 0. What is l?\nAnswer: -858, 2\/119, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/25, 1\/4, 2 in ascending order.\nAnswer: -0.5, -2\/25, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4509435 divided by -21.\nAnswer: 214735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 10:18 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecwvr. Give prob of picking 1 r and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3732*v**2 + 757350*v + 77321*v**3 - 77317*v**3 - 120320924 + 403302*v = 0.\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24187 and 0.13?\nAnswer: 3144.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37, -85, -147, -229, -337, -477, -655, -877?\n\"Answer: -m**3 - m**2 - 38*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/44 + 2\/11. Suppose -c - l + 1 = s, -2*c = -5*s - 19. What is the second derivative of v + 6*v**c - 3*v**2 + 0*v + 0*v wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*a - 3*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3017 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76827 and 4.27.\nAnswer: -328051.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*s**3 - 1620*s**2 + 1620*s**2 + (-s**2 + s**2 + s**2)*(s - 5*s + 2*s).\nAnswer: 38*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28623 and 4912542?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -82.\nAnswer: -35\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -3*z**4\/8 + z**3 + 21*z**2\/4 + 6*z + 222. Factor t(q).\nAnswer: -3*(q - 4)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + (-13)\/3 + 10. Let q(a) = -2*a - 9*a - v*a + 17*a. Let g(x) be the first derivative of -59*x**3\/3 - 2. Determine g(q(f)).\nAnswer: -59*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(1088)*-2)**2 + ((2 + -1*sqrt(1088))*5)**2)*5.\nAnswer: -4000*sqrt(17) + 919860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -391 + 988. Calculate the remainder when 415 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -494 + 19\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*b + 49 = 0, 2*u - 26 = 45*b - 43*b. Let w(o) = 6*o**2 - o - 7. Let c(g) = 17*g**2 - 3*g - 20. Calculate u*w(r) - 4*c(r).\nAnswer: -2*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3247 = 25*d - 4997 for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -20. Suppose 32 = -0*w + h*w. Solve -4*p + 4 = -w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2 - 25408*b - 16424 wrt b?\nAnswer: -6*b - 25408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 584*s + 4 - 1 - 485*s - 1810*s to the form d + c*s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 3*h**2 - 5*h - 1. Give j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*d + 28*d. Let y(o) be the second derivative of 51\/20*o**5 + 0 - 1\/4*o**4 - o**3 - 7\/5*o**6 - o + d*o**2. Solve y(k) = 0.\nAnswer: -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 836 and 10.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127\/18 greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32721 = 5*w - 372624. Suppose -21*b + w = -999. Let i = b - 2659. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (5 - 9)) + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 18. Let f be q(0). Let n be (3\/6)\/(f\/8). Which is the biggest value? (a) n (b) 0.2 (c) -1\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68\/6*(-33)\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3384 and -107\/5452.\nAnswer: 98136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - c. Let z be 2\/7 + 16\/(-7). Let w = -172 - -177. Let m(k) = k - 14 - w - k**2 + 20. What is z*m(x) - u(x)?\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2*163)\/(6\/(-6)). Calculate the highest common divisor of b and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s*(s\/s**(-1)*s)\/s)**(-2\/55) assuming s is positive.\nAnswer: s**(-16\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - de?\nAnswer: -d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**3 - 11*l**2 - 84*l - 455. Determine i(-5).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 140, 490, 1180, 2324, 4036, 6430?\nAnswer: 9620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(18\/7)*x**(1\/4) assuming x is positive.\nAnswer: x**(79\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 2:44 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -3 (c) -0.078 (d) 93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18091904*g**3 - 6*g**2 + 6*g**2.\nAnswer: -18091904*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -3, -47?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -5, 0, 9?\n\"Answer: 2*f**2 - 5*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 8*h - 5. Let o = -66 + 73. Let a be n(o). Suppose -a*t + 0*t - 3*k = -13, 0 = -4*t - k + 51. Calculate the highest common factor of 98 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21245196727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7448, -29780, -67040, -119252, -186440, -268628, -365840?\nAnswer: -478100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*2)\/sqrt(4) + sqrt(120)*1)\/((sqrt(168)*-2)\/sqrt(7)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 278, 559, 840, 1121?\n\"Answer: 281*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (108\/(-6) - -6)\/((-4)\/(-2838)). Let h = b - -459773\/54. Calculate the common denominator of h and 41\/2.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4410407 = 15*m - 26597068. Let v = m + -1189165. Round v to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58940030?\nAnswer: 2, 5, 23, 61, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 2. Let w(h) = -2*h**2 - 2*h**2 + 3*h**2 + 2 - 5*h + 7. Let y be w(-6). Calculate q(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 341320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -6\/53 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q**5 - 3772*q**4 + 4337*q**3 + 22288*q**2 - 2676*q = 0 for q.\nAnswer: -223, -2, 0, 2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10251033 (base 6) to base 14.\nAnswer: -7c1c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 69 = -79 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*o**2 + 17*o**2 - 8*o**2 - 70*o**2.\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -426 - 243. List the prime factors of x.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaxaaxxbxxxaaapabxa.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22862 divided by 2\nAnswer: 11431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35134752 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/165 and -101\/50.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 + 204. What is the least common multiple of x and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62292199 is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -275, -5, 4, 3, -294.7, 1\/7, 3\/4?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-21 + 4 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2111.9633\nAnswer: 2108.9633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.85909231 rounded to 1 decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2 + 98*y + 25. Let r be f(-12). Solve 3*s - 4*s + c = -r, 6 = -2*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 4*h - 52, 4*h + 783 = 4*r + 795 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -23) + (18 - 32 - 5 - (0 + -12))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*s + 823*r - 1646*r + 822*r, -2*r + 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-125))\/((-14)\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-6))\/((-53)\/(-51834)). What is the units digit of (4*6\/(-96))\/(4\/i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - q = -6, j + 2*j = -5*q + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -1, -0.6, 199, 2\/9, -2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12584 - -23873\/2. Suppose -2*s - 127 = 1195. Let k = s - i. What is the common denominator of -40 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2517*m - 2524. Calculate l(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27683 and 760.\nAnswer: 1107320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2275202 and 2421.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1689*n + 3*n**2 + 20*n**2 - 1687*n.\nAnswer: 23*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 388816, 3110503, 10497964, 24884095, 48601792?\n\"Answer: 388816*p**3 - 9*p**2 + 2*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:00 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.02 and 29.38302319.\nAnswer: 28.36302319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + 2*i**5 + 0*i**5 + (4*i**3 + 2*i**3 - 2*i**3)*(1 + 0 - 4)*(-5*i**2 + i**2 + 3*i**2).\nAnswer: 14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 51915864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3516 + 160*k - 3516)*(-5 + 0 + 0)*(-5 + 0 + 3) to l*k + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2))**(-20))**6)**43 assuming z is positive.\nAnswer: z**10320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:28 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11807.\nAnswer: 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = j - 4, 0 = 13*i - 15*i + 5*j + 2. Put i, -4, -2, 14, 3 in increasing order.\nAnswer: -4, -2, i, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0 - 4. Let y be 3 - (z + 20 - 0). Let t(h) = -h**2 - 16*h - 9. Let k be t(y). Let d(r) = -r**2 + 5*r - 1. Determine d(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 6\/41, -12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -226 + 375 - 201 + 2*r as f*r + s and give s.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2995*k + 80748. Calculate l(-27).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*v + 3196 - 3171 + 4*v**2 + 4*v**3 - v**2 - 78*v in the form a*v**2 + u + c*v + p*v**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12250 = -16*y + 9*y. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114300 = 3328*a - 62084 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amc when three letters picked without replacement from {c: 7, m: 3, a: 3}?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**3 + 158*k**2 - 636*k + 4739. Give j(36).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o - 636 = 4*s, 5*o = 13*s + 1060. What is the remainder when o is divided by 182?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:08 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3012003 (base 4) to base 16\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + o - 84. What is x(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5786213, -11572417, -17358621, -23144825, -28931029?\nAnswer: -34717233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1183 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 14) to base 5\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -23\/1321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.3 (b) -170 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5 + 264*b**4 - 703*b**3 - 20964*b**2 + 21764*b + 41760 = 0. What is b?\nAnswer: -8, -1, 2, 10, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3 (c) -1\/11 (d) -2 (e) -0.2 (f) -2445\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 955?\nAnswer: 28650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 4*l - 2. Let z be g(6). Suppose 5*a + u = z, -u = -3*a - 5*u + 56. Calculate the smallest common multiple of 3\/(-3) - (-52 + 1) and a.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1969 = 2021. Let s = j + 1362. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3788280 or -3788287?\nAnswer: -3788287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 2*n**2 - 3 + n**4 + 1)*(0*n + 2*n - n).\nAnswer: n**5 + 3*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 0 = -a. Let y be a\/14 - (-4)\/7. Suppose y*z = 5*w + 1, 0*w + 3*w - 13 = -z. Solve -w = -2*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f - 13. Let x be p(12). What is the units digit of x\/4 + (-6)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -7\/38, -25?\nAnswer: -7\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*o - a**4 + 28*a**3*o**2 - a**2 - 4*o**2 - 300*o wrt a.\nAnswer: -48*a*o - 24*a + 168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7035300 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -16. What is the smallest value in 0.3, 6\/5, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = -35. Suppose n = t*r - 73, -14 = -5*r + 3*n + 55. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 - 460*o**3 + 14376*o**2 + 12400*o - 4060000 = 0. Calculate o.\nAnswer: -14, 29, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7607 + 8907. What is the remainder when r is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*a, a - 3*w + 0 = -2. Let y = a + -6. Solve -y*m + 3 = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - -1. Suppose -543 + s = -3*y + 4*f, 3*y + 3*f = 513. What is the highest common divisor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234383 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-5205654.\nAnswer: -26028270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94647.79 millimeters to micrometers.\nAnswer: 94647790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/872 less than 1321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 501*h**2 + 42*h - 85. Is s(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(5\/2)*f*f*f)\/f*f)\/(f**(-5\/3)\/f*f) assuming f is positive.\nAnswer: f**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.001 + 0.211. Let p = -7.21 + u. Which is the third biggest value? (a) -2 (b) p (c) 0.3 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 15 = -9*h. Suppose -t + 5*n = -872, 5*t - h*n - 4360 = -3*n. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 523.\nAnswer: -15\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*d*t**2 + 2*a**2*d - 382*a**2*t - 2*a*t**2 - 638*d*t wrt d?\nAnswer: a**2*t**2 + 2*a**2 - 638*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8250 or 8249?\nAnswer: 8250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -3)\/(45\/18). Factor -3*t**l - 6 + 55*t - t**3 - 46*t + 5 - 4.\nAnswer: -(t - 1)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -35. Solve 4*t - b = -3*a + 7*a, -4*t + 23 = 3*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-3 - (-4 + -3 - -11))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1992552, -3985265, -5977978?\n\"Answer: -1992713*q + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -239, -267, -321, -407, -531, -699, -917?\n\"Answer: -x**3 - 7*x**2 - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5405 + -12?\nAnswer: -5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 0.593.\nAnswer: -6.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 52*i = -56*i - 60819, i = -c + 12153. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1079, 0, 42, 1, -1787, -5 in increasing order.\nAnswer: -1787, -5, -4, 0, 1, 42, 1079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i - 11*i**2 - 24*i**2 + 5*i + 4*i + 1 - i to n + s*i**2 + h*i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbox when four letters picked without replacement from bbbobxbobxbbbbx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*i = 4*t - 33, -311*t - 4*i - 724 = 755 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 22*q. Let l be i(22). Sort l, -0.008, -3 in descending order.\nAnswer: l, -0.008, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**26*k)**(-41\/4)\/(k**(-6\/5)*k*k*k*k**(-8)) assuming k is positive.\nAnswer: k**(-1404\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5425 = -5*g + 15299, 5*f - 24685 = g. What are the prime factors of f?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48873 - 15774 = 187*l. Calculate the highest common factor of 18 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1735035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*i - 180*f + 182*f, 3*i - 4*f = -17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/28 of a week?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 108 = 23. Let o = p + -79. Solve -10 = z - o*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 7, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggwgfggggfdgggjjm. Give prob of picking 3 g and 1 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, 5, 2 in decreasing order.\nAnswer: 5, 2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 70 - 14. Let n = c - 27. Is 25 a factor of 0 + n - (-107 + 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.03945 litres to millilitres.\nAnswer: 7039.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 5*p**2 + 4*p + 2. Let g be s(4). Suppose 0 = -g*z + 87 + 19. Calculate the remainder when z is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 29\/294?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/7 and -629250.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 678.427 + -678. Let z = 192.573 + h. Let q = 193.000093 - z. What is q rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - -11 - 1*18. Let p(d) = 8*d + 210. What is the remainder when 358 is divided by p(v)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*r**3*s**2 - 5601*g**3*r**2*s**3 + g**3*r**2 - 7*r**3*s**3 + r**2*s**2 - 607*r*s**2 wrt s.\nAnswer: -33606*g**3*r**2 - 42*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001492185 to 6 decimal places.\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-36)*3*(-1)\/(-1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 844628.1 weeks?\nAnswer: 8513851248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*m - 1146, -m = 4*d - 919 - 232. Suppose 3*t = 287 - 707. Let s = d + t. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g\/(g\/(g*g*g*g\/(g\/(g*g*g*g*g**2*g))*g*g*g)))\/(g**(-10)*g))\/(g**(1\/2)\/g**(-2\/15)) assuming g is positive.\nAnswer: g**(731\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226 - -220. Let p = 0.3 - 0.2. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*f + 25, 0 = -2*p - 370*f + 371*f - 5. Let o = 3\/2 - 3\/4. Which is the smallest value? (a) p (b) o (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 take away 1.607?\nAnswer: 0.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95536 - -136970080.\nAnswer: 137065616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160773*r**2 - 160771*r**2 + 36*r + 2*r**3 + 643092*r**2 - 160773*r**2 - 160775*r**2.\nAnswer: 2*r**3 + 36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1026 and -137\/1026.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, -2\/3, -0.14, 1\/6, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15089 by 91109.\nAnswer: -15089\/91109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13371565*r**3 + 26743147*r**3 - 13371590*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17 = -4*a + 15, 5*a = b + 70. Suppose -12*h + a*h = 287. What are the prime factors of h?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271766815 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - sqrt(91)*1*-6) + sqrt(91))\/sqrt(7))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157.8 at least 220736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+48.74\nAnswer: 48.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:58 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k - 2409818 + 35*k - 19*k + 2409772.\nAnswer: k - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*h + 44, 3*n - 12 = -78*h + 83*h. Solve m = n*c - 13*c - 1, 0 = -5*m + 2*c + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -144830000 to the nearest 100000.\nAnswer: -144800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24108028 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h - 85. Let s be i(11). Suppose s*p - 12768 = 8*p. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 - 106.78. What is k rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 6 = -2*m + r, -r = 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-832)*8 - (-13)\/(-112)*2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -79*y**3\/6 - 50*y. Let n(j) = -j. What is z(n(r))?\nAnswer: 79*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 123.782\nAnswer: -1856.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5708*i**2. Let v(q) = -18*q + 55. Let l(j) = -25*j + 77. Let f(s) = 5*l(s) - 7*v(s). Calculate f(a(r)).\nAnswer: 5708*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q - 2. Let o be j(11). Let m(s) = s**3 - 2*s**2 + 5*s + 3. Let w be m(5). Let i = w + o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 7*l - 50*l + 58*l + 46*l.\nAnswer: 82*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12853, -26682, -40511, -54340, -68169, -81998?\nAnswer: -95827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2322 (base 4) to base 9\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 - 297. Solve -8 = 5*t - o*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000812 rounded to six dps?\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - n + n - 13*n - 1 - n. Does 7 divide i(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4294 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 220*n**2 + 2*n - 3. Let k be d(1). Let t = k - 1309\/6. Let l be 2\/6*(-3)\/(-1). Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201010 + 1221100?\nAnswer: 2122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*s - 150 = 0, 4*s - 192 = -0*n - 5*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13750\/1863251 + -34543772310765\/331658678. Let k = u - -104155. What is the common denominator of k and 79\/8?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - 1. Let l = -13.8 - -22.8. Which is the third biggest value? (a) -0.3 (b) l (c) -4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -705620 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*f - 167. Let n be 5\/f*1*-4. What is the third biggest value in 1\/5, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33227618 is divided by 1942.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-56))\/((-3)\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*n + 216, r + 5*n - 85 - 107 = 0. Calculate the remainder when r is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwsswsssswswssswww. What is prob of picking 3 w?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55420.\nAnswer: 2, 5, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -13*i - 14. Let p(t) = 13*t + 15. Let u(b) = 3*k(b) + 2*p(b). What are the prime factors of u(-9)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**3 + 38*t**2 - 198*t - 1258. Give h(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 5. Let d be q(-6). Suppose -3*y - 3*h + 2*h = d, -4*h + 30 = -5*y. Let c(v) = -v**2 + 6 - 6 - v. Determine c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/528)\/((-196)\/448).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 181 - 53a?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.9*221.\nAnswer: 1966.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186924*w + 186924*w - 1617*w**2.\nAnswer: -1617*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 - 2. Let q be (-2)\/10*25\/15. Which is the biggest value? (a) q (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 0 + 0 + (4*k - 3*k + k)*(1 + 2*k - 1) + 5*k**2 + k**2 - 4*k**2 + 9*k**2 + 17 - 17 to the form x*k + i*k**2 + z and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**4*q**2 - 1632*d**4 - d**3*q**2 + 3*d**2*q**2 - 440*d*q + 2*d - q**2 wrt d.\nAnswer: 96*d*q**2 - 39168*d - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -321*p*r*w**2 - 2*p*r*w - 2*p*w**3 - 2*p - 101272*r*w**3 - 60*r*w**2 - 4*w wrt w.\nAnswer: -12*p - 607632*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6844, 2\/3, 4\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 + 8*q + 3. What is y(-5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**3 + i**2 + 430*i - 4. Let t(a) = -8*a**3 - a**2 - 430*a + 5. Determine 4*t(b) + 5*u(b).\nAnswer: -2*b**3 + b**2 + 430*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Suppose 6 = l + 20. Let f be (-8)\/(-3) - l\/(-21). Give n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f = -45881 - 52295. Is f <= 3066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*u + 23 - 5 = 0, 1226 = 3*j - u + 19*u + 1025 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -13*u - 52. What is the tens digit of r(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 300763, 601521, 902279?\n\"Answer: 300758*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 15*x**2 + 54*x + 9. Give r(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 5400825.\nAnswer: 16202475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 8. Let q be p(-6). Let c be (q\/(-3))\/((-10)\/(-30)). Let x = -13 + 33. What is the highest common divisor of x and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and (-5 - 63\/(-14))*-426?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39909*x**3 - 39911*x**3 + 79833*x**3.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 - 8*t - 16. Give z(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2306\/27 or 85?\nAnswer: 2306\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 = -5*c + 71. List the prime factors of c.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 4:49 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(377\/(670306\/508)*(21\/(-68))\/3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/7667 and -30\/32021?\nAnswer: 544357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156 + 3189*k + 45 + 44 + 67 to the form h + v*k and give v.\nAnswer: 3189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1206 by -3.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 68115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -228 bigger than -226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 18 = 22. Let t be (p + -1 - -119999) + -1. Suppose 2*y - 6*y = -5*r + 199984, 3*r - y - t = 0. Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 16. Suppose -329 = -r*p - 64. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*f)*(6 - 2 - 2 + 3 + 4 - 6 + (0 + 2 + 0)*(-1 - 1 + 1) + 590 - 585 + 600 - 5 + 7 - 4)*(2*f + 3*f - 4*f) to m*f + d*f**2 + s and give d.\nAnswer: -1208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 19 = -3*l. Let f be 64\/l + (-38)\/10. Let r = -13 + 13. Which is the third smallest value? (a) 2\/7 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1912 - 1909. Solve -2*q + 4*q + w = -6, -v*w = 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvsvsvsss. What is prob of picking 2 v and 2 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l**2 - 2*l**2 - l**2)*(3 + 2*l - 3) + 0*l**3 + 2 - 3*l**3 + 5*l**3 in the form v*l + h*l**3 + x*l**2 + w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46396042 and 224784.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.6 - 16.3. Let w = -30.8 - -31. Which is the third biggest value? (a) f (b) w (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5267 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1986.7105 + -1950.7. Let u = -0.258 + 36.258. Let b = c - u. Round b to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, i: 11}. What is prob of picking 2 i?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22340 + 34297. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 4495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 4579.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -30\/133 = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235432324 (base 6) to base 4.\nAnswer: -101002302130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - 4*k**3 - 2*k**3)*(4*k - k + 6*k) + 0*k**3 + 0*k**3 - 3*k**4 + 78 + 2*k**4 - 78.\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 7 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a - 2*a**5 + (6*a**4 - 3*a**4 - 2*a**4)*(0*a - 2*a + 3*a) + 6*a**5 - 4*a**5 - 3*a**5 + (1 + 5 - 4)*(1 - 1 - 2*a**5) + a**5 + 2*a**5 - 5*a**5.\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 170354368 divided by -183968\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 376287 smaller than 376292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.33918966 + 4.3389. Round z to 6 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*i - 19, -i - 42 = -4*s - 8. Solve -1 = -o, -b - 4*o = -s + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25558?\nAnswer: 2, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -197*q - 160. Calculate m(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 77581 = 4*q, 6*b = 3*q + 4*b - 58187. What is the third derivative of -18*o**5 - 19395*o**4 + q*o**4 + 2*o**2 - 11*o wrt o?\nAnswer: -1080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1675401 and 4095.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*sqrt(405)*6*3 - ((0 + -2 + sqrt(405))**2 + 4)*6.\nAnswer: -2478 - 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((4\/16)\/(-1)). Solve -4*i - o = -8*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1088) + 3)**2 - (sqrt(1088) + sqrt(1088) + -1 + 4))*-3 - ((sqrt(1088) + sqrt(1088)*4*2)**2 + sqrt(1088) + (3 + sqrt(1088))*-2).\nAnswer: -101196 + 344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-2)\/(10\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**2\/7 + 1086*x\/7 + 8256.\nAnswer: -6*(x - 224)*(x + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453632 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 103.25\nAnswer: -77.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w**3 - 3*w + 2*w + (13*w**2 - 14*w**2 - 4 - 56)*(-3*w + w - 5*w).\nAnswer: 8*w**3 + 418*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from ugkpukkbfbupbpk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.50568 grams to milligrams.\nAnswer: 33505.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7741110.\nAnswer: 2, 3, 5, 13, 23, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/12 - f**3 + 5*f. Determine a(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229\/541 + 221311\/489605. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 237*q**2 + 13*q - 15. List the prime factors of d(2).\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596969177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49529317\/1906 + -25986. Is h at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-10)*(-61415)\/(-346). Which is bigger: r or -19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 1 + (-74 - -78)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -18*r - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4 - 4 + 2 + 3*m**2. Let g = 3 + -10. Is h(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-513)*(-9 - (-4929)\/530)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-283)\/((-154)\/21 - -7)?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*-2*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2221*v - 1374*v + 619*v = -476*v - 130000 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:05 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6414 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 0, -30\/163, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91.4 + 114. Let h = c - 27.18. What is h rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a + 8*a - 3*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 19568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 267180946613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d**3 - d**2 - 2*d - 1. Suppose -6*c + 3*c - 18 = 0. Let p(a) = a**3 + 6*a**2 + a + 5. Let f be p(c). List the prime factors of j(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -2758\nAnswer: -110.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/5180 and -69\/20.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -68. Suppose 4 = 3*u - h. Let b = 10 + -8. Calculate the lowest common multiple of b and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**5\/60 - z**4\/12 + 4*z**3\/3 - 54*z**2 - 3. Give w(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8877*w**2 + w**3 - 8877*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10709, -91998, -312633, -742286, -1450629?\n\"Answer: -11612*d**3 - d**2 - 2*d + 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - -7) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + 4*p**2 - 5*p**2 + (p - 4 + 4)*(3*p + 4*p - p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-4)\/6)\/((4\/18)\/((-300)\/(-270))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p - 20*p = -20*p + 40*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -2\/11, -1.\nAnswer: -5\/2, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006963 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 85, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9828 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*c - 3)*(-2*c + 5*c - 2*c) - 19*c**2 - 12*c**2 + 2*c**2)*(0*c - 3*c + 2*c)*(-7 - 8 + 5).\nAnswer: -310*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-33)\/(-12))\/(93\/(-48) - -2). Let l = -42 - -83. Suppose -j = -5*n - 15 - 6, 3*j = 4*n + l. Calculate the greatest common divisor of j and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -15. Which is the closest to -1\/3? (a) y (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 6)*(5 - 9 + 10)*(u**2 - 3*u**2 + 3*u**2).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 168?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 3*m - 2. Let w be o(-4). Let r = 0.75 - 0.85. What is the closest to r in -4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 27 = -2*v + 5*z, 2*v + 10 = -5*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 34 = 2*b, -4*c = 3*b - 174 + 71. Calculate the remainder when 36 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4 = 2*f, 26*j + 29 + 3 = 1049*f - 1047*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1539, 2693, 4623, 7323, 10787?\nAnswer: 15009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -756f76 (base 16) in base 11?\nAnswer: -4387338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*p - 5*r, r + r = p + 6. Let b(o) be the first derivative of -2\/45*o**5 + p*o**3 + 0*o**2 - 1\/18*o**4 + 0*o - 1. Determine w so that b(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 29 = -5*n, w - 2*n - 12 = 0. Put w, -0.1, -0.09 in increasing order.\nAnswer: -0.1, -0.09, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 85500.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234, 1, -4, 7, -5 in ascending order.\nAnswer: -234, -5, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/((((-1)\/(-1))\/(-5))\/(-7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**2 + 2111*w - 4537. Give j(-266).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40337309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -17908661?\nAnswer: -17908682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, j: 1, q: 3, w: 3, y: 3}. What is prob of sequence wyw?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1468503 and 397.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let i(v) = 119082*v - 1561. Let c(z) = 229*z - 3. Let p(o) = -1561*c(o) + 3*i(o). Calculate p(b(x)).\nAnswer: -223*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*(-168)\/36. Let n(z) = -z + 2*z + d*z**3 - 8*z**3 + z**2. Let k(y) = 7*y**3 - 6*y**2 - 4*y - 2. What is k(b) + 6*n(b)?\nAnswer: b**3 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836*j - 846*j - 40 = 0. Which is the fifth smallest value? (a) 2 (b) j (c) -5\/22 (d) 0.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2288 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1819*d - 3638. Determine g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 13 + 48 = 0. Let m = 117\/2 + x. Which is bigger: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (288\/(-6))\/(-4) - (4 + 2). Let j(x) be the second derivative of 0 + 1\/20*x**5 - 1\/4*x**4 - a*x + 0*x**2 + 1\/6*x**3. Determine j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 8*k**2 - 3*k + 4313. What is the thousands digit of n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133529 + 383853. Let a be -1 - -2 - (-4 - -2). Suppose -a*v + i = -196676. What is v rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-255)\/170)\/((2\/110)\/((-2)\/5))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - f - 4*f**3 - 2*f**3 + 0*f**3 + 0*f**3 + (-f**2 + 2*f**2 - 3*f**2)*(-2*f - 1 + 1) - 2 - 4*f**3 + 2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 654066 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10830 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 734787 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -719955 divided by 5.\nAnswer: -143991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.04902657 rounded to 4 dps?\nAnswer: 25.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 1 + -10 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l**2 - 11*l - 11. Let a(v) = -3*v**2 - 2*v - 2. Suppose 2*b - 11*b - 99 = 0. What is b*a(y) + 2*s(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from wkkncffm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313982*m**2*p**2 - 30*m**2*p + 2*m**2 - 49*m*p**2 - 3*m*p + 76*p + 13 wrt p.\nAnswer: 627964*m**2 - 98*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 356. Let u = 129 - l. Let s = u - 23. Solve 5*c + s - 4 = 4*o, o = -3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 3*c. Let j be -3 + 4 + (2 - -2). Suppose 0*b = b - j. Give x(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r - 1420 = -3605 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122110 (base 5) to base 9.\nAnswer: 6342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, -2\/3, -592, 56\/5, 0.3, -0.5, 4?\nAnswer: -592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - 1086960080\/(-280). Round o to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.06 + -0.06. Let x = -0.46 + 0.73. Let z = -1.27 + x. Which is the second biggest value? (a) -2 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*o - 801, 3*i - 534 = -2*o + 4*i. What is the second derivative of 65*q**4 - 13 - 5*q - o*q**4 + 16 - 12 + 8*q wrt q?\nAnswer: -2424*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1856? (a) -3 (b) -4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 12. Let y be q(12). Suppose y = 6*h - h + 20. Sort 1, 2, h in descending order.\nAnswer: 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -11. Suppose 4*j - 6 = f. What is the remainder when 22 is divided by 6\/24 - (-47)\/j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1711 (base 11) to base 13.\nAnswer: -cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 69*g**3 + 74*g**3 - 135*g**3.\nAnswer: 8*g**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*w**3*y**2 - o**3*w**2*y**3 + o**3*w**2*y**2 + 3434*w**3*y**3 + 311*w**2*y**3 + w*y**3 - 3*y**3 wrt w?\nAnswer: 12*o**3*y**2 + 20604*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 202 = 2*w - l, 0 = -4*l - 8. What are the prime factors of 3\/(-6) - w\/4?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 64. Calculate the remainder when (-1460)\/(-25) - i\/50 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-140) + 24\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5183144892 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12520, -25061, -37610, -50167, -62732, -75305?\n\"Answer: -4*a**2 - 12529*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 37*p**2 + 6. Let l(t) = 34*t**2 + 4. Let u(m) = 2*a(m) - 3*l(m). Let o(n) = 11*n**2. Calculate o(u(j)).\nAnswer: 8624*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - d + 0*d + 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + ((sqrt(360)*1*4)\/sqrt(8))\/(sqrt(288)\/sqrt(200)))**2.\nAnswer: 60*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -8. Let c = 51 - 23. Let r be (-2)\/(-1) + (-63)\/c. What is the second biggest value in 1, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1508 - -1508. Let r = 3 + 2. Let v be (r - y) + (5 - 7). Sort -1, v, 4 in increasing order.\nAnswer: -1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 5*q + 4. Let i be v(-2). What is the derivative of 7 - 4*m**3 - 5*m**2 + 5*m**i - 1 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 1871*a + 12079924. Calculate g(2034).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 7, 19, 1, 14 in descending order.\nAnswer: 19, 14, 7, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of -4 - -1 - (4 - 90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -2068*x**4\/3 + x**3\/3 + 7*x**2 - 18*x. Let m be a(9). Round m to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 6 = 0. What is the derivative of 0 + q**4 - n + q**4 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**3 - 17*v**2 - v. Give g(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95037\/125 or 761?\nAnswer: 95037\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 22. Let i be m(10). Solve -f + 5*f = -i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 979147614?\nAnswer: 979147645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -141, -236, -333, -432, -533, -636?\n\"Answer: -f**2 - 92*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 550*q - 14718. What is k(29)?\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/64 and 29\/1497028.\nAnswer: 23952448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 + 100?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1345*3\/45*-3*1. Suppose -2*h + 365 = -d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147.5668 * 2.\nAnswer: -295.1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hekjg. What is prob of sequence hkg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 2. Let t be l(-4). Let y(i) be the third derivative of 9*i**2 + 0 + 0*i + 1\/12*i**4 - 1\/2*i**3. Give y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 12*p**2 + 12*p + 14. Determine t(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -803 - -773. Which is smaller: b or -19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 88 = 24*y. Solve y = 5*w - 2*g, -g + 0*g = 2*w - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i**2*v**3 + 1937*i**2*v**2 + 4*i**2*v - 2*i**2 - 13660399*i*v**3 - i*v wrt i.\nAnswer: -14*v**3 + 3874*v**2 + 8*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*l**3 - 59904*l**2 + 1448192*l wrt l.\nAnswer: -78*l - 119808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**4\/7 + 442527*j**3\/7 + 1770039*j**2\/7 - 3097635*j\/7 - 4425150\/7 = 0.\nAnswer: -147505, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*w - 40, -c + 12 + 1 = 2*w. Let f = 1 - 1. Let l(v) = -v**3 + v**2 - v + 13. Let x be l(f). Solve -4*p - c = d, -4*d - d + 4*p = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 + 13*d - 13*d + (4*d - 1 + 1)*(d + 2*d - 2*d) - d**2 - d**2 + 3*d**2 + d**2 + d**2 + 0*d**2)*(1 - 1 - d**3 + (d + 2*d - 2*d)*(-2 - 2*d**2 + 2)).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*(256\/(-120))\/16.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4, -2*i - 86 = -3*i + q. Let n be (6\/(-10))\/((-18)\/i). Find the second derivative of n*k + 9*k**4 + 9*k + k**4 - 2*k wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**2 + 5*q**2 + 5 - 7*q**2)*(6*q - 3 + 3) to b*q**2 + c*q**3 + f + w*q and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23\/42 + 3\/14. Let o = 4 + -2. Let j = 1 - o. Is j >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(0*i + 4*i - 2*i) + (5 - 3 - 1)*(4*i - 5*i + 2*i) + 2*i - 2*i + 2*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.147 - -0.053. Let f = -5 + s. Which is the third biggest value? (a) 0.3 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + 0 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((0 + 1)\/3). Let x(s) = -1 - 3*s + s - r*s. Let i(c) be the second derivative of c**3 + c**2\/2 - 259*c + 2. Give -3*i(t) - 4*x(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -220?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**16*i**(-10\/13) assuming i is positive.\nAnswer: i**(198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h + 58. Let x be t(13). Which is the second smallest value? (a) x (b) 1\/5 (c) 4\/3 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h + 8. Let p be o(2). What is the greatest common factor of p and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693279 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 31. Let i(u) = -3*u - 2. Suppose 0 = 5977*v - 5966*v + 77. Let j(h) = 4*h + 3. Calculate c*j(g) + v*i(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 2:51 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 129950449 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 507\/(-8112) + (-226)\/(-32). Sort -2, -5, p, 0, 6.\nAnswer: -5, -2, 0, 6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4564 + 2544?\nAnswer: 10441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 - -220.4. Which is smaller: w or -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 33*o**2 + 175*o + 118. Calculate r(-38).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 25. What is s(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z + 115*z**3 + 108*z**3 - 226*z**3 + 32*z + 11*z**2 + 4*z to d*z + l*z**2 + y + p*z**3 and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28077, 28227, 28379, 28533?\nAnswer: 28689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 61?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p**2 + 8. Let n(k) = -4*k + 45. Let l be n(10). Let w(q) = -9*q**2 - 5. Calculate l*v(j) + 8*w(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164046 is divided by 82003?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/24 - 10*z**3\/3 - 9*z**2 + 30*z. Let w(x) be the first derivative of l(x). Differentiate w(s) wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.9 (b) -2\/7 (c) -4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2433277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/1261 - 1331\/6305. Which is the nearest to 1? (a) -16 (b) g (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0237 less than -149753?\nAnswer: -149752.9763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k**(1\/5) assuming k is positive.\nAnswer: k**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-30\/13)\/(h*h*h\/h**(-2\/3))**(-26\/5)*h*h**0*h*h*h\/h**(3\/8)*h\/h**(1\/3)*h**(1\/5)\/h assuming h is positive.\nAnswer: h**(38791\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {a: 10, l: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 3*j - 71. Calculate k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204773389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 3*h**2 + 4*h**2 + (3 - 2*h - 3)*(-2*h + 4*h - 4*h) - h**2 - h**2 + 4*h**2 + 2*h**2 + h**2 - h**2)*(-2*h + 2*h - h**2).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - r**2 - 5*r + 13. Calculate z(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 times 243253\nAnswer: 656783.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057760?\nAnswer: 2, 3, 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487421 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 118. Put 0, a, 0.5, -2\/11 in increasing order.\nAnswer: -2\/11, 0, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, z: 2, o: 3, x: 3, y: 1, f: 2}. Give prob of sequence xzzy.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 6*i - 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368985 and 40035?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 3. Suppose 0 = -3*j - c - 4. What are the prime factors of -2 + (5 - (j - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20288 - 20289. Let k(s) be the third derivative of 2*s**2 + 0 + 1\/12*s**5 + 0*s + 1\/24*s**4 + 1\/6*s**3. What is k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 0.03, -5, -316 in decreasing order.\nAnswer: 3, 0.03, -0.3, -5, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2158 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3412 divided by 4.\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/12 - 148\/222?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 1\/4*k**4 - 1 + 5\/3*k**3 + 6*k - 1\/2*k**2. Calculate the remainder when x(-5) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*j*q**3 - 2480*j + 12*q**3 - 12*q**2 - 2*q + 19 wrt q.\nAnswer: -366*j*q + 72*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -28. Suppose z + 2*z - 27 = -4*y, -z + 8 = y. Let g(u) = z - u - 4 + 3. Calculate g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 15*j**2 - 28*j - 26. Let b be c(-13). Suppose -3*r = 0, -3*y - 3*r + 138 + 156 = b. Calculate the greatest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/18 + 56\/21. Let b(c) = c + 7. Let i be b(-4). What is the second derivative of 15 - 14*l**s - i*l - 15 wrt l?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0, 6, -3\/10, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 1. Let q(h) = 2*h + 7. Calculate 6*i(a) - q(a).\nAnswer: 6*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 854458 + -5126747\/6. Let n = 0.06 + 0.24. Which is the closest to 1? (a) i (b) -2\/3 (c) -4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 225*a**2 + 218*a - 241. Let q be u(-74). Calculate the highest common divisor of 745 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1\/6, 1\/1941, 1, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8 - (1071\/14)\/17\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -241 + 320 - 11*f + 2*f + 6*f + 365 in the form q*f + u and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-8))\/(-7))\/((-37)\/(-74))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -1a2ec0d?\nAnswer: -1a2ec15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2 - 12*h + 28*h**2 + 67 + h. What is the tens digit of z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1316 + 1315.5. What is the fourth smallest value in 22.1, -1, -5, d?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*z - 3*z. Let n be -2 - -2 - (-23 + 2). Solve 0 = 5*b + 2*c + n, -8 = -b + z*c + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 17305692.\nAnswer: 380725224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13 = -7. Suppose 5*m = 3*k - 14, k = o*m + 3 + 3. Suppose -8*l - 5*z + 1701 = -4*l, -k*l + 1277 = 4*z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111432 by -6.\nAnswer: 18572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 78, 203, 416, 723, 1130, 1643?\n\"Answer: n**3 + 38*n**2 + 4*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 478*z - 12. What is the hundreds digit of g(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64689698 by 2.\nAnswer: 32344849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 4, -18, -70, -164, -312?\n\"Answer: -2*k**3 + 3*k**2 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 11*b + 1\/4*b**4 + 0 - 23\/6*b**3 + b**2. Let l be x(3). Is -39 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 + 3. Suppose -2*u + 0*u = -28. Let r(q) = u*q**2 - 1 + 15*q**2 - 29*q**2 - q**3. Determine -g(k) - 4*r(k).\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 6 = -9*a. What is the tens digit of -2*38\/4*a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 7. Let k be f(4). Suppose -3*m = -21 - 63. Let a be (2\/8)\/(15\/540). Solve a - 29 = -5*d, 0 = 4*c + k*d - m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (106 - (-8 + 9 - (48 + -33))).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - 6b7d9?\nAnswer: -6b7b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k + 84*k - 5*c - 25 = 0, -4*k - 9*c = 25 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/3239 + -34774\/923115. Let p = 1051\/665 - h. Calculate the common denominator of -145\/24 and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -182*d + 824. Let t(b) = 3*b**2 - b + 1. Let o be t(-2). Calculate the greatest common factor of d and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668*b + 11 = -688*b - 9. What is the closest to b in -0.5, 0.4, -0.86?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 133. Let k be 201\/p*2 - (-22)\/(-143). Suppose -2*t + 192 - 1016 = -5*s, s - k*t = 151. What are the prime factors of s?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 6.1 in increasing order.\nAnswer: -9, 5, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 10*a\/7 + 8\/7.\nAnswer: 2*(a + 1)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 499*k - 497*k + 6*m - 2, 4*k + 0*m - 2*m = -24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/41)*l**(-1\/20) assuming l is positive.\nAnswer: l**(-81\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**6\/60 + 21*l**5\/40 + 222*l. Factor n(b).\nAnswer: -b**3*(b - 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*d + 3*d - 24, 2*p + 3*d = -3. Let u be 5 - (p - (2 + -2)). Let g(t) = -t**2 - 7*t + 4. Let c be g(-7). Is u at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116843 < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*-4*sqrt(56))\/(sqrt(1152)*3*1 + sqrt(1152))*-1)**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2956*t**3 - 3*t**2 - 9*t + 58. Let u be h(-13). Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.04 + 23.44. What is the third smallest value in a, 2\/7, -0.27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27285568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2) - 1)\/(96\/(-12) - -22)\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 534, -5, 1, 5, 2 in ascending order.\nAnswer: -5, 1, 2, 5, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:43 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 10*r + 4*r)*((-3 + 2 + 0)*(-2 + 0 + 1) + 8 + 2 + 7)*(-5 + 2 - 6)*(0 + 5 - 4).\nAnswer: -1296*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by -256?\nAnswer: -77\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370 and 53354?\nAnswer: 266770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247*i - 2561*i + 7981*i.\nAnswer: 4173*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182971 is divided by 1144?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o*o**5)\/o)\/o**(-2\/5))**(4\/23) assuming o is positive.\nAnswer: o**(148\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.997 - -2.53. Let m = 0.533 - p. Let v = -12.8 - -16. Which is the biggest value? (a) v (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3860835 (base 11) in base 8?\nAnswer: -31416147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 11. Let h(w) = -w + 6. Let c(r) = 11*h(r) - 6*z(r). Let s(i) be the first derivative of -17 + 2*i**2 - 7 - 2*i**2 - i**2. Determine c(s(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-7) - (-12)\/(-42). Let l = 6 + u. Which is the biggest value? (a) 2\/15 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/5 + 719*n**3\/5 - 2888*n**2\/5 + 2892*n\/5.\nAnswer: n*(n - 2)**2*(n + 723)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {v: 4, h: 5, c: 1, x: 1, j: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 3*h - 4. Let i be 2*3\/((-6)\/5). Let d be x(i). What is the least common multiple of 10 and (-45)\/(-18)*d\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4687\/42 + 780\/7. What is the third biggest value in 18, r, 13, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4541099241.9999711 + 4541099966. Let n = -724 + d. What is n rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/14)\/n)\/(n*(n*n\/n**(-18))\/n) assuming n is positive.\nAnswer: n**(-295\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (376 - 5 + 5)*(-10*k**3 + 10*k**3 + 30*k**4 - 305*k**4) to i*k**4 + m*k + t + y*k**3 + z*k**2 and give i.\nAnswer: -103400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14242.404 and -162220.2.\nAnswer: -176462.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/20*(-4)\/(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7475 and 418925?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.041 + 1.041. Which is the closest to 1? (a) -2\/9 (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28666\/88)\/(2\/8).\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 504 in 0, 0.039, -4, -3?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, o: 1, j: 6}. What is prob of sequence pj?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7891972 is divided by 1309?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*d + 14*d**2 - 56*d + (-d + d - 2*d)*(0 + 0 + d) - 44 + 44 + 8*d**2.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 3. Let b be f(-2). Suppose 0 = -2*j + b*j. Let c(q) = -q. Let x be c(-5). What is the biggest value in j, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clc when three letters picked without replacement from {l: 2, o: 6, c: 9}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 3*l + 6. Let m = 50 - l. Solve 2*u = -u + m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. What is the second derivative of c*f**5 - 5*f**5 + 3*f + 0*f**5 wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -140*i + 284. Let f be b(2). Solve f = 9*k + 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a hour in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) + (-265)\/25. Let t(i) = i**3 + 12*i**2 + 11*i + 3. Let y be t(n). Solve -18 = -d - 5*r, 2*d + 8*r = y*r + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300014 rounded to the nearest 100?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7703 - 7703. Solve m = -18*q + 45 - 153 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551329?\nAnswer: 13, 47, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14377998 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:14 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -385067 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4528640 divided by -4.\nAnswer: 1132160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 46.00025. What is m rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*b - 6. Suppose -u = 3*u - b. Is u\/(2 + 314\/(-158)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 15 = 0, 2*n - 3*n = -2*a + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 6*f + 7. Let n be u(3). Solve 9*x = n*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 52 = 1. What is the second biggest value in 4\/7, z, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) -964 (c) -0.2 (d) 0.1 (e) 2\/5 (f) -5 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 13*j**5 + 3*j**3 + 3*j**2 + 9*j. Let q(g) = g**5 + g**3 + g**2 + g. Let p(b) = -3*q(b) + u(b). What is the second derivative of p(k) wrt k?\nAnswer: 200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**3 - 7. Let h(u) = 11*u**3 + 6. What is 7*h(d) + 6*o(d)?\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 5*f**7\/168 - f**5\/8 - 7*f**3\/6 - 27*f. Let k(x) be the second derivative of g(x). Find the second derivative of k(m) wrt m.\nAnswer: 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 366.\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 204687877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -1\/4 (c) 0 (d) -42.07 (e) 11990\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 253 + -176. Suppose 2*q - 6*q = -5*t - 22, 0 = -2*q + 2*t + 10. Suppose q*f = -7 - 8, f + c = b. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.3 * 59.\nAnswer: -607.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*v - 12 = -0*x, -4*v - 8 = 0. Let u(o) = 2*o + 48. Let t be u(-22). Suppose 4*h - 161 - 63 = -t*k, -x*k - 5*h = -221. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/12 + 190*l**2. Let z(f) = 6*f - 76. Calculate z(u(t)).\nAnswer: 12*t - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*j**4 + 2*j**3*v - 4*j*v - 1959*v + 2 wrt j?\nAnswer: 148*j**3 + 6*j**2*v - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-69)\/(-5) + ((-7)\/15 - (-10)\/15). Solve -j = 11*l - 36 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7. Let h be 2 + 34*i*-1. Suppose -5*g - 4*b + 18 = 0, 6*g - 2*g = 4*b + h. Calculate the highest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -383, -1833, -4191, -7457, -11631, -16713?\n\"Answer: -454*n**2 - 88*n + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030737 to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*t - 11*t. Let g(n) = 2*n**2 - 2*n**2 + 0*n**2 + 3*n**2 + 10*n - t. What is the hundreds digit of g(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2913, 0.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3575612?\nAnswer: 2, 893903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/989 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(0 + (-1)\/(-233))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3654, -7306, -10958, -14610, -18262?\nAnswer: -21914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -15, 2*n - 64 = -4*j - 2*n. Suppose -2*y - j = -21. Suppose 50 = 10*i - y*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*z - 10 = -2*z, -5*k - z = -95. Let t = 36 - k. What is the remainder when 47 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -66. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15624671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.8 and -0.868652517.\nAnswer: -6.668652517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3441 is divided by 219.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6*p + 6 + 2*p - 3.\nAnswer: -4*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8871221 and 995?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86.24 - -84. Round c to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -10. Let c be (-24)\/4 + (i - -3) + 9. Solve 0 = -2*k - 0*k + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3197.1 and 4.\nAnswer: 12788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30301536 divided by -23008.\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, -2 in decreasing order.\nAnswer: -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 164*v. Let s(b) = -7543*b**2. What is s(x(a))?\nAnswer: -202876528*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 12 (b) -2 (c) -1355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 - j - 2. Let p(k) = -k**3 + k**2 + k + 1. Let z be p(2). Let i be ((-6)\/(-21))\/(z\/(-7)). Suppose -i*l = 4*l + 24. What is x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8101 by -1.\nAnswer: 8101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35266 - -36321. Solve -y*t + 1043*t = 108 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15870 by -3174.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -23 - -10) + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1585077 and 677157?\nAnswer: 3783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**3\/6 + 2*q. Let w(p) = 2*p. Give -3*v(y) - 2*w(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/12*(4\/2 + 0). Suppose -282*i - t = -283*i. Solve 5 = 2*s - i*s - 3*l, -s - 4*l - 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**2*v**2 - 311597*n**2*v + 30*n**2 - 2*n*v**2 + 27*n - 2*v**2 - 212*v + 494 wrt n?\nAnswer: -4*v**2 - 623194*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*o + 0*o**2 + 2*o**2 - 8*o - 3*o**2 to b*o + d + l*o**2 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 913377973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -111101011?\nAnswer: 111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19161 or 18869?\nAnswer: 18869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*886.\nAnswer: 5316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n - 24. Let f(t) = -t**3 + 7*t**2 - 5*t - 2. Let s be (-18)\/8*(-16)\/6. What is the lowest common multiple of n and f(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/(38\/57).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -165*a**3 + 2*a**2 - 3. Let c(d) = 168*d**3 - 2*d**2 + 2. Determine 3*c(q) + 2*j(q).\nAnswer: 174*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9217 + 9846. Solve -641*p - 72 = -w*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -265 - 157. Let f = z - 243. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100111110110 + -10100011011011?\nAnswer: 1111000100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19037103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 38*n**2 + 0 + 0*n**3 + 0*n - 1\/56*n**8 + 11\/60*n**6 - 8\/105*n**7 + 14\/15*n**5 + n**4. Solve u(a) = 0 for a.\nAnswer: -3, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) 4\/7 (b) 4 (c) 2\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Solve 5 = h, 0*w - b*h + 25 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45171041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114234*r**2 - 82094 with respect to r.\nAnswer: 228468*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136) + sqrt(136))\/sqrt(8) - (sqrt(17)*-1)**2*5.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 697*d**2 - 12. Let y(v) = -3. What is -c(s) + 4*y(s)?\nAnswer: -697*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 69 = -2*c - 75, -11 = 5*c - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0 + 68*r - 1\/2*r**2 - 149\/12*r**4 + 1\/3*r**3. What is the second derivative of s(g) wrt g?\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imimmimm. What is prob of picking 1 m and 1 i?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/120 + r**5\/12 + r**4\/8 - r**3\/6 - 463*r**2. Let t be 11\/(-4) - 2\/8. What is the remainder when 22 is divided by d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 7:45 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0448 and -129.\nAnswer: -128.9552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.481751\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0, -5, -658, -1\/7.\nAnswer: -658, -5, -3\/7, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwhhmcmccchhhhxh. Give prob of sequence hm.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 26 - 1)*(-2*y - y + 2*y).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 + (465 - 146) - (-28 + (-1 - 0))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*z - 1842 = 1020 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 14. Solve -v*b - 34 = -5*f, -f + 0 + 14 = -3*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 - -1031312221001?\nAnswer: 1031312221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a72 (base 14) to base 9.\nAnswer: 6527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4136*u + 376378. Give n(-91).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Let x(p) = 8*p**2 - 35*p**2 + 9*p**2 + 5*p**2. Determine x(l(b)).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p**2 + 2*p + 1. Suppose -5 = 4*f + 3. Determine y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48208960 by 1907.\nAnswer: -25280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*f - 4*f**3 + 8*f**3 - 2*f**3 to r + a*f**3 + g*f + m*f**2 and give g.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k**3 + 6*k + 5. Let n be r(-1). What is the units digit of n\/(-25)*5 + 467?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 4*s**2 + 4*s - 9. What is the remainder when f(-7) is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -34, -57, -86?\n\"Answer: -3*g**2 - 8*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1356900 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - m - 12*m - 85*m + 26*m + (1 + m - 1)*(-1 + 1 + 1).\nAnswer: -71*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 102942?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1252289 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 214604*c + 643794.\nAnswer: 2*(c + 3)*(c + 107299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 8058*o**3 - 12*o + 10644*o**3.\nAnswer: 2586*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 4. Let m(v) = -2*v**2 - 5*v + 1. Let y be m(-4). Let j be 12\/5 + (-4)\/10. Let o(i) = 15*i + 20. Let x(b) = j*o(b) + y*u(b). Calculate x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61784.87um to meters.\nAnswer: 0.06178487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 0*i**3 - i**5 + (10*i**2 - 519*i + 519*i)*(24*i**3 - 28 + 27 - i**3).\nAnswer: 229*i**5 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t - t + 3*t)*(2 - 2 - 2)*(t**2 + 15*t**2 + 0*t**2) in the form j*t + f*t**3 + p + k*t**2 and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 31078.\nAnswer: 155390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -206, 201, 1302, 3445, 6978, 12249?\n\"Answer: 58*d**3 - d**2 + 4*d - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-24)*-42*(-76)\/43092.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:15 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7700 + 7266 = -30*k + 82066. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**8\/560 + q**7\/105 - q**6\/50 + q**5\/50 - q**4\/120 + 7*q**2. Factor i(j).\nAnswer: -j*(j - 1)**3*(3*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.71 * 0.01\nAnswer: -0.1071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 + 12*f**2 - 7*f**2 - 3*f**2.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 15.08, 1\/6, 3?\nAnswer: 15.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - d = -5*h - 1, 0 = 2*d + 2. Put -8, h, -1 in descending order.\nAnswer: h, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/13960 and -39\/20.\nAnswer: 13960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/16 - -2)*2\/4*12. Solve -5 = a*c - 4*o, 3*c = 7*c - 2*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654233063 to the power of 1\/2, to the nearest integer?\nAnswer: 40672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + 0 - (0 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 9. Let f be h(9). Let o = 26 - f. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Find i such that -2*i**2 + i + i**2 + 3*i**m - 3*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38943 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0395 + 10.3495. Let x = -9.791 + j. What is x rounded to two decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65*b*r**2*s - 658*b*r**2 + 3*b*s + 2*r**2 + 4*s**3 wrt s?\nAnswer: 65*b*r**2 + 3*b + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17970673 or 17970667?\nAnswer: 17970673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - ((sqrt(1377) + -2)**2 + 5).\nAnswer: -1386 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/4*(5 - 70\/6). Suppose -2*w + 7*w + 22 = -l, -h*l = -5*w - 40. What is the nearest to 0.1 in -2\/15, -0.2, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:27 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4303, 4289, 4267, 4237, 4199, 4153, 4099?\nAnswer: 4037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 3*x**3 + 6*x**2.\nAnswer: -3*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 184 - 2?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/20 - b**4\/12 + b**3\/2 + 2*b**2 + 3*b. Let s be g(-3). Solve -s = 2*u - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(3*p + 0*p - 6*p) + (-16 + 10 - 25)*(5*p - 2*p - 5*p) + p + p - p in the form c + d*p and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*z - 2*z. Let w(p) = -2*p**3 + 1 - p + p**3 + z*p**3 + p**2. What is the units digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnupnxxuxnppu. What is prob of sequence npu?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12743 + 12738. What is the nearest to -1 in n, 1\/3, 0.164, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1487*h + 1064. Let f(b) = -329*b + 266. Let d(i) = -9*f(i) + 2*s(i). What is d(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 2478 - 10878. Suppose 0 = 5*p - f - 4240 + 268, -5*f = p - 810. Let j = p + i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - v - 188, -a + 6*a = -2*v - 313. Let h = 80 + a. What is the remainder when 62 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/1451732 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-13*r + 13*r - 2*r**2) + 5*r - 5*r + 2*r**2 + (r**2 + r**2 - 4*r**2)*(-6 + 1 + 2) as w + d*r + m*r**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 3 (c) -1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(350) + sqrt(350) + -4*(2*sqrt(350) + sqrt(350)) + sqrt(350))*5)\/((-1*sqrt(56))\/sqrt(8) + sqrt(7) + -3*sqrt(700)) + 0)**2.\nAnswer: 15*sqrt(2) + 227\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 270\/(-180)*(-806924)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6, 5*y = -2*t - t + 2239. Let h = 843 - y. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.018, -1, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*y + 67. Solve 2*k = 3*k - y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000011001 (base 2) to base 8.\nAnswer: 4031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 5*o + o + 139 + 2*o.\nAnswer: 2*o + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 249 = 441. Let t = -71 + i. List the prime factors of ((-1)\/t + (-114)\/(-4))\/1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**2 + 1. Let k(c) = -2 - 19*c + 20*c - 3. Let s be k(4). Let n be q(s). Let v(r) = -r**3 - 4*r**2 - 2*r - 5. Give v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164759253 and 6?\nAnswer: 329518506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7870, 15791, 23756, 31765, 39818, 47915?\n\"Answer: 22*c**2 + 7855*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/((-9)\/(-12)). Let w = 1 + d. Let f be 2\/5 - -4*(-18)\/480. Which is greater: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34, -28, -10, 26, 86?\n\"Answer: t**3 - t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-385)\/(-16)*1349\/(-9443) - (-4)\/1\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 16*h + 37. Let a be p(-4). Suppose k + a*y - 1259 + 257 = 0, 5*k - 4*y = 4952. Calculate the highest common factor of k and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -49*j**2 - 163*j + 1314. Determine x(8).\nAnswer: -3126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4617025 is divided by 5693.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 3. Let f(o) = o + 2. Let w(a) = -6*f(a) - 4*h(a). Let d(l) = l + 5*l + 3*l. Determine w(d(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39259 and 17845?\nAnswer: 196295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 3*q - 8*q. Suppose -17 = 2*u - 3*u + 4*s, 2*u - 4*s = 46. What is the remainder when u is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b**(-16)))\/b*b)\/((b**(5\/2)*b)\/b) assuming b is positive.\nAnswer: b**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmggmggg. Give prob of sequence ggg.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 4*n + 1, -124*m + 4 = -128*m - 4*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-117)*-78*(-20)\/(-360)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 9 + 3 + 6.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -229 (c) 1 (d) -15 (e) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8365 + -8359. Solve -d + 5*w + 9 = 0, -4*d + x*d + 3*w = -8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 1\/2*o**2 + o - 2 + 7\/4*o**4 + 1\/3*o**3. Calculate g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.05 times -48.9?\nAnswer: 2398.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 35 - 9*s - 2 + 2 - 2*s - 2 - s + 2 + (-1 + 1 + s)*(3 - 2 + 0) - s + s + s + s + 3*s - 2*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -41803 divided by 7\nAnswer: -41803\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.155587 - -98.22.\nAnswer: 153.375587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.23\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1846, 4, -139 in descending order.\nAnswer: 4, -139, -1846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/6*3)\/(4\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.291 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/423*(-45)\/2 - (-287)\/(-28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1213966.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*q - 34. Calculate the remainder when (6\/3)\/2 - (-803 - 17)\/10 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5 + 120*w**4 + 1200*w**3 - 3840*w**2 - 61440*w + 196608.\nAnswer: 3*(w - 4)**2*(w + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y - y**2 + 9 - 8*y - 14. Let o(a) = 2*a**2 - 7*a + 6. Give -6*l(s) - 5*o(s).\nAnswer: -4*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) -33 (b) 1.2 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -60, 7, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(114) + (3*sqrt(114) - sqrt(114)))*-2)\/(-2*sqrt(24)\/sqrt(4)).\nAnswer: 3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 1)*(133*g**4 - 61*g**4 - 116*g**4) - 5*g**4 + 3*g**4 + 8*g**4.\nAnswer: 270*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23429 - 4?\nAnswer: 23425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -84 (b) 3\/5 (c) -13 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16332 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22001000021 - -2?\nAnswer: 22001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1511222239 to the nearest one million.\nAnswer: -1511000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-37)\/7 - 4\/(-14). Let q(u) be the third derivative of -u**4\/24 + u**3\/6 + 11*u**2. What is q(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471880 is divided by 33643?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 6 - 5*c**3 - 3 + 0*c**3 + 6*c**3 to i + m*c + r*c**3 + o*c**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1164\/97)\/((-423)\/376*(-2)\/(-105)*5).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.00053 + -69. What is n rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -151*u**6\/5 + 235*u**2 - 769*u. What is the first derivative of q(j) wrt j?\nAnswer: -3624*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*((-1666)\/56 - -29).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-10 - 6) + (-2 + -3 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 31*b**9\/63 + 227*b**5\/30 + 9*b**2 + 7*b. What is the third derivative of t(r) wrt r?\nAnswer: 29760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103827103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -0.73. Let b = 2.03 - m. Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95591*f**4 - 200498*f.\nAnswer: 1147092*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/180 + 7*a**4\/24 + 5*a**3\/3 + 9*a. Let x(v) be the second derivative of n(v). Differentiate x(c) wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*z + 2*w, -4*z - 2*w = 476 - 452 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 348, -80, 52, 2 in decreasing order.\nAnswer: 348, 52, 2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n*s**3 - 3793*n*s**2 + 3*n*s - 9*s**3 + 4438*s**2 with respect to n.\nAnswer: -4*s**3 - 3793*s**2 + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-1 + sqrt(63))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171) - 4*sqrt(171)*1)*1 + 5)**2*5.\nAnswer: -450*sqrt(19) + 7820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 0 - 4 + 0*w**2 - 10*w - w**2. Suppose -2*h = 9 + 9. Let m be a(h). Which is greater: 6 or m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 12*k + 1. What is the units digit of m(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1132 - -12322033?\nAnswer: 12320301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -14*w**2 - 4*w + 4. Let l(k) = 3*k**2 + k - 1. Let h(v) = -4*l(v) - z(v). Let f(p) = 477*p. Give f(h(r)).\nAnswer: 954*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:10 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29283 less than -2.9?\nAnswer: 29280.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 11 = -5*f + 3*p, -3*p - 19 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 12. Suppose -4*z = -3*v + 43, 2*z = -3*v - 2*z + 11. Let k be j(v). Let p(r) = -r**2 - 4*r - 3. Let u be p(k). Sort 3, u, -4 in decreasing order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -0.5, -15, 0, 3\/4 in decreasing order.\nAnswer: 2, 3\/4, 0, -0.5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3645185 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 - 2*q - 5. Let c be b(-5). Let t be (8\/(-5))\/(28\/c). Solve 0 = l - t*i, 3*l - i + 5*i = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let l be g\/(-14) - (-137200008)\/28. What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 16199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 729180?\nAnswer: 5104260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 440932 and 440941 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 44, 71, 98?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 3651, 12341, 29259, 57147?\nAnswer: 98747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -27, -39, -39, -21?\n\"Answer: p**3 - 3*p**2 - 16*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42653.171 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(588))\/(sqrt(150) + sqrt(150)*2) + 4.\nAnswer: -7*sqrt(2)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -260, -238, -196, -128, -28, 110?\n\"Answer: o**3 + 4*o**2 + 3*o - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 12\/4 + 8. Suppose 2*v + 0 = 2*k + 4, 2*v - d = -k. Suppose 0 = -v*w + w + 36. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3806 - 3067. What is the remainder when l is divided by 184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3 - 29*p**2 + 7*p wrt p.\nAnswer: 24*p - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 334?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010 (base 2) in base 12?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - 7*x**2 + 8827*x + 2*x**3 - 8827*x + 10 - 3*x**3 in the form j*x + h*x**4 + y*x**2 + n*x**3 + t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p**2 - 283059*p - 106146 = 0. Calculate p.\nAnswer: -35382, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*(-531)\/(-12). Let v = g - -30. Which is the closest to 0? (a) v (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**5 + 5700*p**4 + 4379772*p**3 - 8776628*p**2 + 4391160*p = 0.\nAnswer: -555, 0, 1, 1978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20609, -41339, -62079, -82835, -103613, -124419?\nAnswer: -145259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -17. Suppose -q*j = 3*i + 43, i - j - 2*j = 9. Let a(c) = 3*c + 18. Let m be a(i). Solve 2*b + m*b = -8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 17321455\nAnswer: -3\/17321455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/9 or 2?\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 26*c**3 + 22*c. Let y(k) = -53*k**3 - 45*k. Let z(n) = 5*u(n) + 3*y(n). Find the second derivative of z(w) wrt w.\nAnswer: -174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 91404\/108 + 16\/6. Let t = k - 757. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 616?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/57426240 and 19\/68911488.\nAnswer: 344557440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0 + 7\/6*c**3 + 1\/4*c**4 + 1\/60*c**5 + 2*c + 3*c**2. Suppose 0 = -4*y - 8 - 12. Calculate l(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 20. Let u(j) = 8*j. Determine u(z(o)).\nAnswer: 24*o + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84282, 149628, 214972, 280314, 345654, 410992?\n\"Answer: -a**2 + 65349*a + 18934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 239414123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p + 103. Determine r(24).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 3*j**5\/10 + j**4\/12 - j**3\/6 + 18*j**2. Suppose 5*i - 2 = 3. What is the units digit of l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:02 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185 + 1667\/9. Let c be 1\/2 + (-30)\/36. Sort 0.4, m, c in ascending order.\nAnswer: c, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161957 rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 19*k**2 - 1. Let i be v(1). Let p be (19\/4 - 3)*4. Let d(q) = q**3 + 0*q**3 + p*q - 5*q. Let n(f) = 4*f**3 + 9*f. Give i*d(j) - 4*n(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j - 61*j + 123*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.281382 micrometers?\nAnswer: 0.0007281382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from vvvvvvdddvdd.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - ((-2)\/8 - ((-1463273)\/(-28) + -11)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56092923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/91, 38, 10, 0.1, -3, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449880 divided by -815.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1781 + -1202. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -91*g + 90*g + 7, 5*g = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**8\/504 - i**7\/35 - 7*i**6\/90 + 862*i**2. Factor w(q).\nAnswer: -2*q**3*(q + 2)*(q + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 967692?\nAnswer: -9676.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjbgf. Give prob of picking 1 g and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*t + 3*x + 1102, -5*t + 4*x + 1840 = 0. Let p = 364 - t. Which is the third smallest value? (a) -2\/7 (b) p (c) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = -25*a + 400. What is the remainder when 568 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2. Let y(h) be the second derivative of h**5\/30 + 15*h**2\/2 + 29*h. Let s(b) be the first derivative of y(b). Determine z(s(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -794 and 0.51831?\nAnswer: 794.51831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = 6. Solve n*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -89*j + 37*j - 64 + 46*j. Let u be c(-30). Calculate the greatest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d*i**3*r + 3*d*i**3 + 435*d*i**2*r - 2*d*i**2 + 4*d*i + d - 669*i**3*r - i**2*r wrt i?\nAnswer: -30*d*r + 18*d - 4014*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20850 + -20859. Let y(p) = -8*p**3 + 56*p**2 - 4*p - 9. Let d(h) = -2*h**3 + 14*h**2 - h - 2. Calculate g*d(s) + 2*y(s).\nAnswer: 2*s**3 - 14*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184541 is divided by 2019?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 3*u**5\/4 + u**3\/6 + 16*u**2 - 51*u. What is the second derivative of v(n) wrt n?\nAnswer: 90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 4163092982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -121*g**3 + 6*g**2 + 11*g + 2. Is 18 a factor of s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/8 and -83\/31538.\nAnswer: 126152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 66. Solve 4*b + i = -0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -630. What is the remainder when z is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + -1. Let u = y + 27. Let j(w) = 2*w**2 - 3*w + 8. Let f(d) = 3*d**2 - 4*d + 12. Let o(x) = -5*f(x) + 8*j(x). Determine o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2442021254 - -32?\nAnswer: -2442021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34 - 1681\/(-82)) + 14. Factor -1\/2*b**3 + 1\/4*b**4 + 1\/4*b**5 + 1\/4 + 1\/4*b - s*b**2.\nAnswer: (b - 1)**2*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51045 - 2?\nAnswer: -51047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1140?\nAnswer: -5700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2*31\/(-2). Let b = 63 + x. Calculate the least common multiple of 14 and b.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702914.\nAnswer: 2, 351457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a century in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1452*r**2. Let a(w) = -w**2. Give j(a(p)).\nAnswer: -1452*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + x - 64. What is the least common multiple of 1 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - y**2 + 9*y - 5. What is g(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -950 (b) 3 (c) 14 (d) 0 (e) -1 (f) -5 (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2\/(-36) + 16536\/164376. Let q = 78319\/6088 - y. Are q and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*w = -327 - 329 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 190638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 5529.\nAnswer: 165870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8139095?\nAnswer: 5, 1627819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 627721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 - 7)*(-95*u - 538 + 538).\nAnswer: -285*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.769 - -335.369. Let z = s - 365. Let p = -31 - z. What is the nearest to 0.1 in 0.2, -3\/8, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 66*w + 20*w - 1078 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 430980 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -351, -356, -365, -378, -395?\n\"Answer: -2*c**2 + c - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7500*f - 93533. Calculate u(-13).\nAnswer: 3967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 103?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 24*j + 83. Let l be b(-27). Suppose l*q - 81 = -7*q. Suppose -2*v - 1 + q = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*o**2 - 4 - 598*o**2 + 4.\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 15*u**3 + 4*u**2 + 2*u + 4. Let v(p) = 28*p**3 + 7*p**2 + 3*p + 9. What is -7*g(a) + 4*v(a)?\nAnswer: 7*a**3 - 2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 149*n + 1641. Determine g(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -20.91. Round l to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107775456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8393 = -11*p + 79*p - 5615. What is the remainder when p is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64\/(-29712)*(-3)\/(-14). Let p = a + 5385\/2279158. Are p and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*t - 292, 2*t - 1896 = -y - 1835. Suppose 5*o = -h + 9 + 123, 0 = -4*h - 3*o + 477. What is the remainder when h is divided by y?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*b + 350*b + 340*b = 12124 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 464 - 464. Are 2\/109487 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -229*i + 255*i. Let d(t) be the second derivative of -t**5\/20 + t**4\/6 + t**3\/3 + t. What is d(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/18)\/(3\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018132 plus 6.9?\nAnswer: 6.918132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (9\/(-12))\/((-15)\/1340) and 2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242601609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 431\/8 - (42\/(-1104) + (-4)\/46). Solve h = -17*b + 105 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -380 - -374. Let f = 0.085 - 34.085. Let q = f + 36. Put q, -0.3, a, -0.4 in increasing order.\nAnswer: a, -0.4, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*n**2*v - 21770813*n**2 - 1383*v + 667 wrt n.\nAnswer: 20*n*v - 43541626*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide ((-1036)\/(-6))\/((-103)\/(-927))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(70)\/sqrt(810)))\/(-5*sqrt(45)\/(sqrt(18)\/sqrt(2))).\nAnswer: -9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 10:24 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/12*o - 1\/2 + 1\/2*o**2 - 1\/12*o**3 = 0. What is o?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230 + 240.7. Let o = d + -7.7. Suppose -5 = 3*l + 7. Which is the closest to 1? (a) -0.1 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -618, 5, 4, 1, -1, -4, 144 in ascending order.\nAnswer: -618, -4, -1, 1, 4, 5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -361, -373, -411, -487, -613?\n\"Answer: -2*a**3 - a**2 + 5*a - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*w - 9059 = -9292, w = 55*h + 112 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10202 + 27035. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67.9 and -72.\nAnswer: 4888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)\/m)**(-19)*(m*m**(-2)*m)**(2\/31) assuming m is positive.\nAnswer: m**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmmm when four letters picked without replacement from mzrrllrmjllgmrr?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 3*p + 1 + 21, 3*k + 3*p - 6 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 23, -91969 in decreasing order.\nAnswer: 23, 4, -91969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65 + 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128.76 + -0.76. Let z = 127.9369 - n. Round z to 3 decimal places.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -347\/4 - -217\/4. Calculate the common denominator of (18\/15)\/(16\/155) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482473029 to the power of 1\/2, to the nearest integer?\nAnswer: 49824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80132 = 50*o - 27*o. Round o to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*b - 901, -4*b = 4*y - b - 3640. Calculate the greatest common divisor of 55 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 475\/506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 47?\nAnswer: -38\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**5\/2 - 19*s**4\/2 - 149*s**3\/2 - 69*s**2\/2 + 73*s + 44 = 0?\nAnswer: -4, -1, -2\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 1. Let z = -4 + 4.2. Let u = o + z. Put 1, u, 2\/13 in decreasing order.\nAnswer: 1, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*u**2 - 2*u - 20853 + 20853 - u**3 - 11*u**2 + (3*u - 3*u - 4*u)*(-2*u**2 - 3*u**2 + 2*u**2) to j*u + d*u**3 + x*u**2 + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Suppose -i*q + 9 = -9. What is the remainder when 23 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let j(o) = 261*o. What is j(g(s))?\nAnswer: 261*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 5:04 PM?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.1. Let b = -7 - -7.1. What is the nearest to b in t, -2, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 - 27 = 4*y. Suppose -2*b + 84 = -96. What is the highest common divisor of y and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/370 and 25\/1927996?\nAnswer: 9639980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from sbhmhmhmmmmmmhhmsmm.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 15. Suppose 5*q = 5, 0 = -3*m + 3*q + 31 + 20. Let p = 23 - m. Let c be n(p). Solve 14 = 5*l + 2*k, -2*l - 5*k + k - 4 = c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7403338kg in nanograms?\nAnswer: 740333800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 77456 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2042784 and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**2 - 545*f - 540 = 0?\nAnswer: -108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216958763*y**4 - 45*y**2 - 16*y - 21037 wrt y.\nAnswer: 5207010312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397894 is divided by 209?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 258 - 283 + p**5 - 2*p + 2*p + p**5 + 0*p**5 + 4*p**5 - 2*p**5 + (1 + p**3 - 1)*(2*p**2 + 0*p**2 - p**2).\nAnswer: 5*p**5 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2397811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -182*h**3 + 8*h**2 - 2*h - 3. What is the remainder when s(-1) is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b + 2. Let c be u(2). Suppose c = -5*r - 8. Let o = -4 - r. What is the remainder when 7 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (524\/304)\/((-18)\/24). Let r be (-53)\/114 + 5\/10 + 0. Let c = q - r. Which is smaller: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/7505 and 49\/475.\nAnswer: 37525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*h**2 + 63 - 23 + 65*h**6 - 3*h**5 + h**5 - 30 wrt h?\nAnswer: 7800*h**3 - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 570*s**3 - 2*s**2 - s + 1. Determine w(-1).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 88*r = 292. Sort r, -8, 5 in ascending order.\nAnswer: -8, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**3*m**2 + 2349*c**3*m + 79*c - 241494*m**2 wrt m?\nAnswer: 20*c**3 - 482988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*d - 893, -6*j = -j + 3*d - 4429. Suppose 1225 = 12*t - j. Calculate the greatest common divisor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*w - 719997, -2*c + 720009 = 4*w + c. Suppose -5*f - 450000 = -y - y, 2*f = -4*y - w. What is f rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22013105 is divided by 80?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 5*s**2 + 2*s - 9. Suppose 0 = 3*w - 0*w - r + 9, 6 = -2*w + 5*r. Let x be j(w). What are the prime factors of x + (-8)\/12*3?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 2*n**2 - n + 2. Let s(o) = -o**2 - 15*o - 43. Let g be s(-11). Let j be z(g). Solve -b + 0 + 1 = j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 7985 - 7989. Let p = -1 + 11. Which is the smallest value? (a) -5 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381 - 10*v**2 + 381 + 5*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23091 + -300181\/13. Which is the second smallest value? (a) 5 (b) n (c) -1373\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 24*l + 143. Let h be m(11). Solve 2*o - 8 = -h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19138*v + 788*v**3 + 19138*v + 2.\nAnswer: 788*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 + 10*y**2 + 12*y - 16. Let l(x) = 4*x**3 - 10*x**2 - 13*x + 17. Let j(t) = -5*f(t) - 4*l(t). What are the prime factors of j(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 31. What is the greatest common factor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.712 to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a - h, -15 = 2*h + 3*h. What is the remainder when 21 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 446\/(-5)*(-4 - -9). Let o = k + 1144. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.8 - 7.2. Which is the nearest to 0? (a) -5 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*g + 7*g + 396, -g = -2*d + 198. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/4*-2*-16*(-37)\/(-888)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1016\/24 + 4\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -2, -18\/19, -2\/13, 4, 0.3, 5\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 2. Let g be m(6). Suppose 0 = 3*x - 12, 2*a + 0*x = -4*x - g. What is the remainder when (14\/(-21))\/(2\/a) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4*a + 6 = 0, -z - a + 11 = -6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112088936 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 4*q**2 - 4*q + 7. Let c be a(4). Calculate the highest common factor of 15 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7866*l - 291036. Determine v(-37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 391994 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -6\/5, -2\/11, -2, -1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60 and 23.\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*v - 21 = 4 + 43, -7*v = -35 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26567, 106379, 239399, 425627?\nAnswer: 665063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 - 2*w**2 + 60*w + 60. Calculate p(-5).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 15 + 2*l**4 + 84*l**2 + 76*l**2 - 161*l**2 to the form k*l + t + p*l**2 + r*l**3 + s*l**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5134? (a) 3 (b) 0.2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1 (b) 2 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*a = -2*k + 32, -2*a = 8. Let t = 40 + -31. Is (-3 + 3369\/t)*k\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (232\/(-10))\/(26\/130). Let i = 199 + r. List the prime factors of i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 5. Let f(m) = -22*m**3 + 8*m + 7. Calculate -f(p) + 4*o(p).\nAnswer: 22*p**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 42\/68861 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/7 (b) 1\/10 (c) -1\/3 (d) -125 (e) -4 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85679 - 65256 = -2876*t - 18639 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1794556222 minus 0.1?\nAnswer: -0.2794556222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-360))\/((-3)\/(-9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16696 divided by -1\nAnswer: -16696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 473433 * -5.\nAnswer: -2367165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210900 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Suppose 8 = -2*z, y = 4*k + 5*z + 5. Differentiate 0 + 0*q + 3*q + k wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - 3*(-1 + sqrt(242)))**2 + -5*(0 + sqrt(242)) + 4 - (2*sqrt(242)*2 + sqrt(242) - (sqrt(242) + -2)*-1).\nAnswer: -253*sqrt(2) + 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 15. Suppose 3*p + 4 = 5*c - 24, 11 = 3*c + 4*p. Let t(u) = u**2 - 3*u - 4. Calculate the remainder when k(13) is divided by t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27aa85 (base 13) in base 12?\nAnswer: -3a7236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54620659*-9\nAnswer: 491585931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111381104*d**3 - 2222762567*d**3 + 1111381466*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*c + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 78*w. Let h be (4 + 160\/(-50))*10 - 7. Calculate l(h).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5376 - -5375.6. Which is the nearest to -1? (a) u (b) 2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 41*h**2 + 129*h + 74. Determine x(44).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19525.\nAnswer: 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-10))\/(15\/(-75)). Suppose o - b = 3. Suppose -2*l - 40 = -2*s, 5*s - s - 79 = 3*l. What is the remainder when s is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 - 4. Let d = -299\/20 + 71\/5. What is the closest to 1 in d, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2986 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 - 6 = 0. Suppose 0 = o + 4*n - 8 - 10, 0 = o + x*n - 18. Let f(w) = w + 11. Let c be f(-8). Solve -1 = z + 3*z - c*g, 4*g - o = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 6*o - 459 + 753 = 0 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*z + 33500 = 161*z. List the prime factors of z.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + -8 + (29 - 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**5\/36 + 151*g**4\/36 - 20*g**3\/3 - 56*g**2. Let z(o) = 0. Calculate o.\nAnswer: 2\/5, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245878.4 centuries in years?\nAnswer: 24587840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443 is divided by 1424?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)\/(h\/(h\/(h**(4\/3)*h*h)*h*h)))\/(((h**(6\/7)*h)\/h)\/(h**4*h))*((h**(-1)*h)**(-13\/5))**(2\/13) assuming h is positive.\nAnswer: h**(316\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8770390?\nAnswer: 2, 5, 859, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2178 divided by -198.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 2*u**3 + 7*u**3 + 5*u + 679*u**2 - 675*u**2 to the form j + g*u + n*u**2 + h*u**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (7 - (-3 + 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19193637, -19193627, -19193617, -19193607, -19193597?\n\"Answer: 10*b - 19193647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 5, -3\/5, 1, 2, 0, 692 in descending order.\nAnswer: 692, 5, 2, 1, 1\/4, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 64*v + 6. Give y(-2).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from awwawdwxawdd?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2. Let d(m) = 38*m**2 - 1027*m. What is d(p(c))?\nAnswer: 152*c**4 - 2054*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-5) - 1*-9. Suppose 2*i - 11 - c = 0. Solve -5*k = s + 20, -2*s - 2*k = i - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -7. Let j = 34 - 33. What is the remainder when ((2 - 0) + -12)*(0 - j) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 43*n - 414. Calculate c(-41).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {n: 4, u: 3, g: 2, v: 9}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24519 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and 5247.682343.\nAnswer: 5257.682343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -32)*(12\/(-16))\/1. Suppose -q = b - v, q - 5*b = -q + 20. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:36 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 305524614?\nAnswer: 305524620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 16*l = 15. Let f(w) = 42*w + w**3 - 2 - 3 - 46*w. Is 21 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810600.\nAnswer: 2, 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -142514 less than -142516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 9*b - 6. Determine p(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, -1\/2, 4 in ascending order.\nAnswer: -1\/2, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/135 and -1 + ((-1412)\/(-390) - 3).\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*l - 28 = 0, -4*l + 36 = -392*h + 395*h. Solve h = -2*g + 4*d, 4*d = -2*g + 7*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128285800 to the nearest one million.\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 36 + 78 - 42. Let a(v) = 9*v + 5. Let u(o) = -4*o - 3. Let j(q) = -3*a(q) - 5*u(q). What is j(h(x))?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*3\/45\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/91923454 and 103\/78791532?\nAnswer: 551540724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155.7 - 156. Let g be (-2 + 6)*(-4)\/(-120). Put -1\/8, -1, a, g in descending order.\nAnswer: g, -1\/8, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 + 5*g + 7. Calculate s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p + 136741*o + 357 = 136744*o, 12 = -2*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1529*k**3*t**2 - 3*k**3*t - 21*k**3 - 10085*k**2*t**2 + 3*k**2*t + 6*k*t + k - 5*t wrt t.\nAnswer: -3058*k**3 - 20170*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 20595523*v**2. Let a(p) = 27*p**2. What is l(a(u))?\nAnswer: 15014136267*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-36 + (71 - -25) - -9)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6283486?\nAnswer: 2, 11, 285613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 40 = 4. Let h be 2\/(-6) + 120\/t. Suppose -u + h = 2*u. Solve u - 11 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -3, 15, 1\/5, 0.027?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2540395 by 26741.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -78. Calculate the highest common divisor of 57 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(19) - (sqrt(19) + sqrt(19) + 3 + sqrt(19))**2*2) + (sqrt(57)*4)\/sqrt(3))*-3*2.\nAnswer: -10800 - 930*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x)**48\/((x**(3\/10)*x)\/x**(10\/3)) assuming x is positive.\nAnswer: x**(8701\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*s = 2, 4*k - k + 2*s = 58. What is the lowest common multiple of 12 and k?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 4) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -599 + 607. Suppose 0 = -0*f - 4*f. Let x = -61 - -65. Solve f = x*z - 4 - v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42802 + 132669. List the prime factors of y.\nAnswer: 89867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 3*w = 60, w = -1141*l + 1136*l - 0*w + 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -639 + 638.999999451. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/(k*k*k*(k*k\/k**(7\/6)*k)\/k)*k)*k)\/k)\/(k\/(k*k**(-5\/4)\/k*k*k)))**2)**(-42) assuming k is positive.\nAnswer: k**(-217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + 110. Let q be ((-3)\/5 + 0)\/((-44)\/k). Solve -4*j + 3 = -q*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f + 4, -5*m = -5*f - 95. Let u be ((-18)\/15)\/((-15)\/50). Suppose 7 = u*o - 17. Calculate the highest common factor of m and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(3\/2)\/d))**(2\/77)*(d**(2\/89)*d)\/d**47 assuming d is positive.\nAnswer: d**(-314995\/6853)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2474188488 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 376.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 8*h - 9. Suppose 3*u = 11 - 32. What is z(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -930 + 945. Solve -25*x = -60 - u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**2 + 16*m**2 + 5*m**2 + 11*m**2 + 13*m**2 - 62*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3205, 2990, 2633, 2134?\n\"Answer: -71*u**2 - 2*u + 3278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*j = 32, -3*j + 53 = -f - f. Let g = -19 - f. Differentiate 3*i**g - i**3 + 3 + 2*i**3 wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-64)\/(-10))\/(4\/30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4409, 8800, 13221, 17690, 22225, 26844, 31565, 36406?\n\"Answer: 3*h**3 - 3*h**2 + 4379*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10418, -10419, -10420, -10421, -10422, -10423?\nAnswer: -10424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 - 2. Let s(v) = -v + 14. Let u be s(9). Which is the closest to 1? (a) u (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (4 + -3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 347539 at most as big as 347539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u**4 + 18*u**2 + 1\/15*u**6 + 0*u**3 + 0*u + 0 - 4\/15*u**5. Find the third derivative of v(s) wrt s.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 188. Suppose b + 617 = m. Let s = 734 + b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.088 or -265.66?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -375*a + 6. Let s be h(-7). Let r = s + 3242. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*v - 140 + 14. Which is the second smallest value? (a) 1 (b) v (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 4:36 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 880644 + 2514?\nAnswer: 883258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*s**3 - 8\/15*s**2 - 1564\/15 - 806\/15*s.\nAnswer: 2*(s - 23)*(s + 2)*(s + 17)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-76) + 10890\/209 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 37 + 50 + 2*w as b*w + d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 302 - 266. Suppose 2*a - 10 = 62. Calculate the lowest common multiple of j and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 + 842*y**2\/11 + 8800*y + 1680000\/11.\nAnswer: 2*(y + 21)*(y + 200)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 11. Let g = b + -8. Solve g*j - 10 = 3*q, j + 10 = -5*q + 6*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 - 123 = 5*d + 4*a, 3*a = 5*d - 43 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away -0.0137?\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 172860 (base 9) to base 4\nAnswer: 122022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/3 + (-100)\/(-2). Let h = g + -26. Suppose h*l**2 + 16\/9 - 88\/9*l - 18*l**3 + 6*l**4 = 0. What is l?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 - 10 = 0. Suppose a = -5*g + 421 + 139, 0 = -5*a. Calculate the greatest common factor of g and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3664 - 3664 - 2562*t)*(-t + 4*t - 2*t).\nAnswer: -2562*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 r when four letters picked without replacement from hhhrhghgggrbrrgrgh.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 - (5 + 1)) - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9007.\nAnswer: 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yryyryyhyryryyrryy?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3 = -5*r, -4*x - 2*r + 10 = -0*x. Let l(s) = -s**2 + 5*s - 9. Let q be l(x). Sort 1, -8, q in descending order.\nAnswer: 1, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(16\/8)*(-2)\/(-4))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**3 + 32 + 118*r**3 + 6*r**2 - 33*r**3 - 28*r**3 - 34*r**3.\nAnswer: -6*r**3 + 6*r**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**2 + 18\/5 + 12*y.\nAnswer: 2*(5*y + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.1615, -23, 0.4, -3\/7?\nAnswer: 0.1615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:50 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 6. Let b(m) = m - 1. Let s(w) = 6*w + 162. Let u be s(-26). Determine u*b(z) - c(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10726665 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030230221 (base 4) to base 6.\nAnswer: -10422225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 4*l**2 + 14*l - 7. Let a be m(6). Let v be (3 - (3 - 0)) + a. Is (-1)\/2*(-81 + v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.3, 4, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbbbbxxubbuuu. What is prob of sequence ubx?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/5)\/((-3)\/15). Let p be ((-12)\/(-14))\/(c\/84). Let d be (-1875)\/2*(-832)\/p. Round d to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 + (-6)\/(-10)*25\/(-10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 447, 1908, 5371, 11844, 22335, 37852, 59403, 87996?\n\"Answer: 168*s**3 - 7*s**2 + 306*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 12663.\nAnswer: 2532.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23500 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10\/(-10) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*v + 7*v. Is (((-16)\/(-24))\/v)\/(4\/22566) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-352*q + 21*q**2 + 352*q)*(q**3 - 1348*q + 1348*q + 1).\nAnswer: 21*q**5 + 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 + 865*d - 1730*d + 865*d.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 44 = -l. Let f = -57 + 59. What is the smallest common multiple of l and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -16*n + 50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 52 = 8. Let n be (2 - s)\/(-3) - 3. Find the second derivative of -18*r**3 - 34 + 34 - 3*r**n - 9*r wrt r.\nAnswer: -126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44581299 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2\/8 + 11181*g\/2 + 22359\/2 = 0. Calculate g.\nAnswer: -14906, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, w: 2, u: 2, j: 7, g: 4}. Give prob of picking 1 u and 3 j.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*x**2 - 5 + 60*x**2 + 0 in the form r*x**2 + o*x + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 53?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -2\/37 (c) 195 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56, -109, -162, -215, -268, -321?\n\"Answer: -53*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o**2 - 15*o + 3. Let u(v) = -8241*v. Give t(u(y)).\nAnswer: -747054891*y**2 + 123615*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 3*r**2 - 4*r + 4. Let y be h(-4). Solve -y*n = -4*f + 28, 9*f + 2*n = 6*f + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -45497*p - 1455878. Determine s(-32).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/(-15)*(0 - 3). Let m(k) = k**2 + 19*k + 7. Let z be m(d). Let x = z - -247. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363 + 380. Let o(b) = 19*b**2 + 2*b - 2. Let c(z) = -153*z**2 - 17*z + 17. Give d*o(p) + 2*c(p).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1\/4 (c) 0.5 (d) 0.2 (e) -25 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 16*p + 20. Suppose -2*v - 2*q + 49 = 3*v, -51 = -p*v - 3*q. Suppose 50 = 4*r - 10. What is the smallest common multiple of r and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 19443*i**2 - 70*i. Let x(k) = 6*k. What is j(x(w))?\nAnswer: 699948*w**2 - 420*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**4)**(-1\/6))**(-31))**(-2))**(7\/4) assuming n is positive.\nAnswer: n**(-217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - l + 5. Let y be (-187)\/33 + (-4)\/(-6). Let b be f(y). Let g be ((-42)\/b)\/((-2)\/(-5)). Let h(a) = a**2 - 2*a - 3. What is h(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871795 is divided by 556?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8 = 4*u - 62, 2*y - 4*u = -144. Let t = y - -371\/5. Factor 1\/5 + t*l**2 + 2\/5*l.\nAnswer: (l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0329 - 0.4671. Which is the fourth biggest value? (a) t (b) 2 (c) 21\/2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 468\/(-4914) + 1\/(-5) + 179\/(-105).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/18 + 1 + (-1)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 610 - 357. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 4*n + 20. Determine q(-11).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**2*r**3 + 5*o**2*r + 163*r**3 wrt o?\nAnswer: 4*o*r**3 + 10*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51.89 + -52. Sort -0.5, 2, 5, j.\nAnswer: -0.5, j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 24*w - 1. Let s = 5 - 4. What is the tens digit of a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + 14*k + 14. Let p(n) = -6*n**2 - 14*n - 15. Let c(z) = -5*o(z) - 4*p(z). What is the remainder when 25 is divided by c(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20143, 40155, 60169, 80185?\nAnswer: 100203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/4)\/((-95)\/(19665\/(-759))).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 1444, 4717, 11052, 21469, 36988, 58629, 87412?\nAnswer: 124357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -49, -2, 0.03, -2\/3, 4, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 9227*c**6\/120 - 4823*c**4\/24 + 2699*c**2 - 2*c. Find the second derivative of o(m) wrt m.\nAnswer: 55362*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -17*n - 2. Let z(g) = 885*g + 105. Determine 105*u(w) + 2*z(w).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 18*k**2 + 18*k + 13. Determine c(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 123*n - 239. Let q(o) = 2*o. What is c(q(i))?\nAnswer: 246*i - 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4*v - v = 0, -2*v = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 16 = -3*n, 3*v + 11 = n - 1. Solve -u + n = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/3 - 1554*t**2 + 1207458*t - 312731622 = 0. Calculate t.\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -390077, -1560294, -3510657, -6241166?\n\"Answer: -390073*q**2 + 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -437, -2\/11, -55 in descending order.\nAnswer: -2\/11, -55, -437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1464 - -0.3071. Round m to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from kzzylylzlzkmlxyzzky.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*t - 1942*t - 537*t - 1830*t - 3470*t.\nAnswer: -8699*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let b be 16\/(-20)*(2 + 3). Put v, -5, b in decreasing order.\nAnswer: v, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.125 + -4.875. Suppose -4 = -o - 0*o. Which is the closest to 2? (a) 1\/3 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5570 and 4947274?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 374674073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3*h**(-2)*h**(-2\/9)\/h**11 assuming h is positive.\nAnswer: h**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3475521 is divided by 695101?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-10))\/(7\/(-35)). Let q be (0 + 12)*w\/(-3). Let k = q + 47. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 639226 by 1.\nAnswer: 639226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -265*z**8\/56 + z**6\/15 + 4*z**4\/3 + 5*z**3\/2 + 1414*z - 1. Find the third derivative of y(l) wrt l.\nAnswer: -31800*l**3 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6503793 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 g be (2\/6)\/((-3)\/(-18)). Let i(r) = r - g*r + 2*r - 1 + 4 + 14*r**2. What is the tens digit of i(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1741.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(-9 - -9). What is the nearest to 2 in -1\/2, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 15*f = 9*f. Suppose -y + 2 = -3*k, k - 4*y + 8 = -0*k. Suppose 5*d + 3*c + 24 = k, 5 = -d + 3*c - 7. Is d equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*(m**(2\/43)*m)\/m)\/m))\/m**(-8\/3))\/(((m*m\/(m*m**(-3)\/m*m))\/m)\/m)**(2\/159) assuming m is positive.\nAnswer: m**(8193\/2279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*m + 37602, 0 = 2*z - 2*m + 7457 + 17639. Round z to the nearest one hundred.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*b + 95550 = 6*v, -b - 63691 = -2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9236, 37024, 83338, 148178?\nAnswer: 231544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 152, 154, 156, 158, 160, 162?\n\"Answer: 2*v + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*x + 120. Suppose g + 50 = 3*g + 3*u, g + 4*u = x. Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(30\/(-18) - (-2)\/3). Let l be y + 0 + (-11 - -8). Let i = -7.8 - -8. Which is the closest to i? (a) -5 (b) l (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2966468 and 27724?\nAnswer: 2966468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 212 - 217 = 5*c, -4*c = -5*z - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 146670323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*d, 3*w + 3*d = -0*w + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.564 - 16.264. What is the third smallest value in 16\/3, 4\/5, t, -0.2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**2 - 9*l + 10. Give c(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.21759794 rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d + 0*d + 0*d)*(2*d - 5*d + d) - 74*d + 8*d**2 + 74*d + 0*d**2 + 0*d - 2*d - d**2.\nAnswer: 35*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -300 - 57*c + 307*c + 593 - 294 to d*c + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12690450.\nAnswer: 2, 3, 5, 28201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -241, -491, -749, -1015, -1289?\n\"Answer: -4*g**2 - 238*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 21 + (7 - 3) - (1 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 16 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1082310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 6*k. Let o(w) = -w**2 - w + 3. Let r be o(k). List the prime factors of -1*(1 + (r + 1)*-12).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10 = 3*f. Let j(w) = 4*w - 2. Let u be j(f). Suppose u = t - 119. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*g**3 + 2327325*g**2 - 19072125*g + 39031875 = 0 for g.\nAnswer: -3855, 45\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 10 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 30 = -10*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - -740. Let h = j + -444. Let i = h - 129. Calculate the remainder when i is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076714087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -6)*(-3)\/(-6). Suppose 15 - 7 = 2*g. Solve t*n = g*o - 19, -2*n = -5*n + 2*o - 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-2\/11))**(1\/2)\/(m\/m**(1\/4)*m**(3\/5)*m*m*(m*m**(4\/3))\/(m*m**(-3\/5)*m*m)) assuming m is positive.\nAnswer: m**(-2107\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/7)\/((-320)\/(-896))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600160 and 86800?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 93738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3390 divided by -6.\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 3*c + 3*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3593, -3483, -3349, -3185, -2985?\nAnswer: -2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/7))**(1\/21) assuming o is positive.\nAnswer: o**(4\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 = 57. Let x = -12 + n. Solve x*d - 10 = 2*l - 0*d, -3*d + 9 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**3*l**2*y**2 - 2*f**3*y**3 + 73*f**2*l**2*y**3 + f**2*l*y**2 - 6*f*l**2 + 2*y**2 wrt y.\nAnswer: -12*f**3 + 438*f**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738933 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*a - 60*a - 2*a**3 + 7 - 82*a to the form b*a**3 + q*a + i*a**2 + s and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 7 + 28 = -5*n - 12, 0 = n - 4*l - 7*l - 15 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6870 + -6868. Factor -2\/3*w**f - 16\/3*w + 0.\nAnswer: -2*w*(w + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-10))\/(u\/u**3)*(u\/u**2)**(8\/11) assuming u is positive.\nAnswer: u**(-85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2\/(-2)*27\/567.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 20 = -3*y. Let a be 144\/30 - (-1)\/5. Suppose -21 + a = -2*h. Solve -y*r - h = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15465646 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 7863894*k**2 - 15727772*k - 32 = 0.\nAnswer: -8\/3931947, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - ((sqrt(84) - 5*sqrt(84)) + sqrt(84)))\/sqrt(7))\/(sqrt(6) - (2*sqrt(486) + sqrt(6))).\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 5\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 369981087?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rls when three letters picked without replacement from szlmras.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3033 by 9.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -18036.4 and -0.63.\nAnswer: -18037.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000034446914 to 7 decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, e: 2}. Give prob of sequence eqqe.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -10. Is (-9)\/21 + 124160\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*m = -2*m + 10, 3*w + 3*m + 30 = 0. Suppose -8*p + 120 - 72 = 0. Let j be (p\/(-4))\/((-27)\/(-144)). Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 26383, 1 in increasing order.\nAnswer: -7, 1, 26383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 6)*(-44 + 20 - 75 + (2 + 0 - 3)*(-1 + 3 + 0))*(-4*y + 6*y + 0*y).\nAnswer: 1212*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**33\/(((z\/(z\/(z\/z**(8\/9))*z))\/z)\/z)*z\/(z\/((z\/z**12)\/z))*z\/z**(-14\/3)*z)**(-40) assuming z is positive.\nAnswer: z**(-11000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.93843723 to 3 dps.\nAnswer: -0.938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.239*-416.35\nAnswer: 99.50765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 534, 514, 492, 468, 442, 414?\n\"Answer: -k**2 - 17*k + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 929583, 0, -5.\nAnswer: -5, 0, 929583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p**5 - 1068*p**4 + 6368*p**3 - 12064*p**2 + 8896*p - 2240 = 0. Calculate p.\nAnswer: -35, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) - -1*2. Let o = -0.053 + 15.553. Let g = o + -15. What is the nearest to 1 in k, -0.1, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/1 - ((-66)\/11 + 0). Solve d*a - 22 = -16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 22*b + 7*b = -162 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7866, -31783, -71656, -127491, -199294, -287071, -390828, -510571?\n\"Answer: -o**3 - 7972*o**2 + 6*o + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n**3 + n**2 + 18*n + 59. Give s(-3).\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 7*h**2 + 3*h - 6. Suppose 0 = 24*x - 22*x - 16. Let v be l(x). Let r = v - -55. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 10302*x - 328*x**2 + 232*x**3 + 9*x**5 - 75*x**4 - 10094*x + 9 = 0. What is x?\nAnswer: 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/42*2\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147167 and 83309?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -227*a - 470. Let z be k(-12). Solve 2261*t - 42 = z*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112\/3 - -275\/6. Are r and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202 + 29 - 189 - 47*t + 594 with respect to t.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403290209 a multiple of 6329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(9\/99*(-33)\/(-12)). What is the closest to -2\/17 in 1, 5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 - 7*d + 170.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 10300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14 and 18\/(-27) + (-578)\/(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11879 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1392825 and -3\/26215?\nAnswer: 149032275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 18775499.6781?\nAnswer: 18775482.6781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3880, 0.3, 3, 2?\nAnswer: 1\/3880","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4937926478823?\nAnswer: -4937926478824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - (-2)\/30. Let d = -3 + 3.5. Let u = d - 1.5. Which is smaller: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/7 and 20\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-100))\/(7\/(-84)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -4\/172291 (c) 3\/7 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150837*c**2 - 186909 wrt c.\nAnswer: -301674*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 6*p**2 + 6*p - 4. Let l be o(-7). Let f(x) = -2*x - 5. Let h(g) = -g - 4. Let i(c) = l*h(c) - 2*f(c). Determine i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71366 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 4) + (46 - 46).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/278487 and 1\/174.\nAnswer: 556974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.889781m in centimeters?\nAnswer: 288.9781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-9))\/1*-2. What is the nearest to b in -2, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 2241.\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 + 2. Let q(i) = -i**3 + i**2 - i. Calculate 2*q(y) + t(y).\nAnswer: y**3 + 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 32?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8787 (base 14) to base 3.\nAnswer: 1012011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -893.33531 - -893.4. What is q rounded to three dps?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*b**4 - 245*b**3 + 18093*b?\nAnswer: -456*b**2 - 1470*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1214393514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 373.66281 to 2 decimal places.\nAnswer: 373.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*b = -7 + 17, 2*b - 16 = -5*n. Suppose 0 = -o - 4*g - 20, 3*o + 2*o + 20 = -n*g. Solve o = -f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136159029 a multiple of 2548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1058*s - 963*s - 604*s + 2 - 2.\nAnswer: -2625*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - z + 6*z - 3*z**2 + (-2 + 2*z + 2)*(6*z - z - 3*z).\nAnswer: 2*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 31438.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662725650?\nAnswer: 2, 5, 33254513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2971247918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3 = 15. Let r be x\/(-1) + -2 + -1. Is (-1970)\/r + 8\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7374 minus -24?\nAnswer: 22.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (143\/26)\/(49\/(-14)*2\/14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 292 (c) 0.51 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 6. Suppose 3*z = -l + 5 - 3, 4*z = -12. What are the prime factors of y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-12)\/(-96)*-12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51, 68, 121, 228, 407, 676?\n\"Answer: 3*y**3 - 4*y + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 - -10)*-1)\/2. Let b = z - -8. Suppose -7 = -b*j - l, 3*l - 2 = -4*j - 1. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 145 = -155. Suppose 0 = -o*z + 48 - 28. Solve -4*a = -z*v + 15 + 1, 0 = -a - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913 divided by -11?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 90*m**2 + 504*m**2 - m + 870*m**2 + 3*m.\nAnswer: 1284*m**2 + 2*m + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*x**5 + 16*x**2 + 24*x**2 - 5*x**2 wrt x.\nAnswer: 1860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 836966383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 13*y)*(-14 - 21 + 49) + 6*y - 5*y - 2*y.\nAnswer: 181*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 114159840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 54)*2\/(-4). Let l = t - 23. Which is greater: l or 4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/14171 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1912*q**2 + 2*q + 13891?\nAnswer: -3824*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224036\/66*(-4)\/(-6) is divided by 229?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-8 - 1) + (-5 - -11))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 3*i**2 - i + 1. Let p = 1 - -1. Let m be s(p). Let t(x) = x**3 - 3*x**2 + 2*x - 2. What is the remainder when 10 is divided by t(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -17. Suppose a = 5*w + 45. Let s = 11 + w. Solve -2*q - s = -3*b, 5*q - b = 3*b - 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6435.433 + 0.11.\nAnswer: -6435.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o**2 - 1480*o + 34. Give w(74).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**2 + 47*k - 61. What is l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86328\/(-42240)*(4\/(-78) + 0) and 9\/80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 5*p**2 - 4*p + 6. Suppose -4*q = -8 - 16. What is the units digit of l(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 473*r + 148*r + 621 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*a - 4*z - 33, 5*z + 25 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g + 48*g**2 + 11*g**2 + g**2 - 21*g**2 - 1882 + 47*g**2 wrt g?\nAnswer: 172*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6702 - 4124. What are the prime factors of p?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.8 + -19.462. Let x = -1.6 - k. Round x to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 3646771*f**3 + 7293545*f**2 - 3646773*f.\nAnswer: -f*(f - 1)**2*(f + 3646773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -155 and -155 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -550 + 369. Let a = s + 181.00000665. What is a rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 15*t**2 + 16*t + 16. Let r be z(16). Solve 2*i - 26 - 2 = 5*p, -2*p + 2*i = r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-7)\/28 + -237. Let i = n - -280. What is the greatest common factor of 84 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444416 (base 7) in base 9?\nAnswer: 726638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:58 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66469.\nAnswer: 13, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 9. Let b(x) = -x**3 - 6*x**2 - 5*x + 6. Let p be b(z). Is 11 a factor of ((-44)\/5)\/(p\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 3. What is the smallest value in n, -2\/11, 1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/8*(-160)\/(-40)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16727587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 169999*i**4\/24 - 5*i**3\/6 - 3*i**2. Let k be o(-5). What is k rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(-2*sqrt(190) - sqrt(190)))\/((sqrt(160) - sqrt(160)*2)*6) + 5.\nAnswer: -sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1351*s**3 - 5*s**2 - 57642*s wrt s?\nAnswer: 8106*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.014, 0.1, -0.2, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 18. Calculate w(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 1249*x + 18 + 2509*x - 1258*x - 4*x**2 - 4*x**4 in the form n*x**2 + a*x**4 + w*x + t*x**3 + f and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h - h. What is the remainder when -1*(-4 + h) - -78 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 222*o - 4920. Give b(22).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaarqaaaqhaqq.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -19137.8?\nAnswer: -19137.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8 - 11*k**2 + 1)*(297 + 484 - 223).\nAnswer: -6138*k**2 - 558","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z - 58. Let r be a(-6). Let q(t) = -3*t - 8. Let c be q(r). Does 47 divide (-1088)\/24*(-6)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1673 - -1066. Let k = g + 606.999999317. Round k to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88.7 - -29.2. Let g = b - -59. What is the third smallest value in -4, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tappwqa. Give prob of sequence aw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*(-13)\/(-338)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*h + 96, -8*b - 5*h - 68 = -12*b. What is the remainder when 305 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 g, and 1 b when four letters picked without replacement from {a: 1, b: 2, g: 4, j: 5, n: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 8*t. Let g = 437 + -428. Let d be ((-1)\/(-8)*-6)\/(g\/(-96)). Let u(v) = 3*v**2 - 5*v. Calculate d*u(s) - 5*n(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1486 by 4845.\nAnswer: 1486\/4845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15402209*r**4 + 777979*r + 1 wrt r?\nAnswer: -184826508*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 29 - 27. Suppose 5*c + 3*u = 7*u + 310, -5*c + 305 = -5*u. Suppose -y*d + 414 = -c. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-713)\/1922 - (-1)\/2)\/(-6)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1615\/13 + 21005\/156. Let u be -8 - (2 + -3 + -1). Calculate the common denominator of b and u\/16*(-148)\/(-24).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.2*-2\nAnswer: 64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0101788 rounded to four decimal places?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by -4\nAnswer: -117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37533, 37523, 37467, 37341, 37121, 36783, 36303, 35657?\nAnswer: 34821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35444921\/2216 + 15995. Calculate the common denominator of m and 47\/11.\nAnswer: 24376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001634 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2431, -19464, -65703, -155752, -304215, -525696, -834799, -1246128?\n\"Answer: -2434*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = -4*p, -3*c - 4*p = -0*p. Suppose z + g = 2, 4*g = -4*z + 2*z + 8. Let i(k) = -2*k + c*k + z*k. Let u(j) = -j. Calculate u(i(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**2\/2 + 23*m - 9. Let a be v(9). Solve -6*w + 4 = -a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 1. Let w(f) = -9*f**3 - 39*f**2 + 25. Let d(v) = -5*v**3 - 18*v**2 + 12. Let u(y) = -13*d(y) + 6*w(y). What is 6*n(t) - u(t)?\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 0)*(3402*w**4 - 5031*w**4 - 2*w**2 + 2*w**2).\nAnswer: 11403*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = s - v + 44, -4*v = -4*s - 172. What are the prime factors of (-455)\/s + (-1)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 10:46 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + -125. Let f = -198.9979376 - n. Let z = f - 0.002. What is z rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33343318*k**4 + 14310256*k wrt k?\nAnswer: -400119816*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (2 + 1) - -1. Suppose -2*s + 3*b + 1 = -q*b, 3*b + 17 = -2*s. Let g(v) = v**3 + 4*v**2 - 3*v - 5. Determine g(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-30)*(-353646)\/1416*4\/18.\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8320 - 8227. Let l be 0 - 2 - 40\/(-1). Suppose -5*u + l = 2*o, 2*u - 68 = 3*o - 6*o. What is the remainder when h is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 - c**3 + c**3 - 4*c as p*c**3 + t + y*c + m*c**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30342, -121375, -273106, -485535, -758662, -1092487?\n\"Answer: -30349*f**2 + 14*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 - 50*z**3 - 12*z + 3?\nAnswer: 24*z**2 - 300*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 2*i - 1. What is the remainder when 88 is divided by v(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12 + 9)*(-2)\/(-3). Let k be (-435)\/4 + r\/8. Round k to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -6. Suppose -g = d*g. Suppose 42 = 4*x - 5*y - 66, g = -3*x + 5*y + 76. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2465 at least as big as -2498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 73. Let l = 45798283 - 45798196.000039. Let w = l - u. Round w to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -122212?\nAnswer: -122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.8 + 98. Let l = -65 + 35. Let c = a + l. What is c rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/21, 0.5, -4, -5066, 14?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2900*r**4 - 18641 + 55909 - 18637 - 18631 - 3325*r**2 wrt r?\nAnswer: 69600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 = h, -3*z + 3 = 27*h - 26*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 305*d + 310.\nAnswer: -5*(d - 62)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1350)\/300)\/(1\/(-3)))\/((-9)\/12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 2*t - 1. Let f be -2 - (1 - 1)\/(-4). Let m be (26\/(-4))\/((-1)\/f). Let w(o) = o**2 + 12*o - 14. Let z be w(m). Determine c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 3*r + 6. Let f = 11 - 6. Determine q(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 7*g. Let q be p(-7). Let u(l) = -l + 2. Let v be u(q). What is the third derivative of -v*c**2 + 0*c**4 + 0*c**4 - 2*c**4 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3469815 is divided by 68035.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000278825886 to seven dps.\nAnswer: 0.0002788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-65)\/(-455) - (-46)\/(-28))*-66 is divided by 79?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 13 + (140 - 123).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:25 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - h - 32 = 0, 0*j - j + 4 = -h. Suppose -4*x - 3*d - 1 = -3*x, -d = x + j. Let m(w) = w**3 + 10*w**2 - 6*w - 7. Is m(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 5) in base 12?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - g - g)*(-g + 0*g + 0*g - 6*g + 4*g - 5*g + (g - 1 + 1)*(-1 + 5 - 5) + g - 2*g - g + 2 - 2 + 2*g) as t*g**2 + b*g + y and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4805 + 2404 - 191*i + 2400 + 879*i.\nAnswer: 688*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + 20?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-4 + 3 - 3*a + a) - 5*a - 3*a + 0*a.\nAnswer: -10*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 192637 divided by -192637?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 2*m**3\/3 + 4*m**2 + 963*m. Let t(n) = n + 2. Suppose 14 = -3*c + 2*i, -2*i + 0*i + 6 = c. What is c*h(d) + 9*t(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12.09. Let w = -0.05 - s. Let b = 0.08 + w. Round b to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1197 and 520695.\nAnswer: 520695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/7, 5, -687, -2\/12817, -5 in decreasing order.\nAnswer: 5, 0, -2\/12817, -1\/7, -5, -687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3 - 5*w + 0)*(5*w + w + 0*w).\nAnswer: -12*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = f - 46, -f - 6 = 2*h - 40. Calculate the remainder when 204 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 488, 937, 1404, 1883, 2368?\n\"Answer: -l**3 + 15*l**2 + 411*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9237 + 8741 - 525 + 5*g.\nAnswer: 5*g + 17453","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x**6*x))*x\/(x**(2\/9)*x)*(x*x**2)**14)**(-10\/7) assuming x is positive.\nAnswer: x**(-4300\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6722 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25636693.\nAnswer: 25636693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 94*o - 11. Let i(t) = -t**2 - 27*t + 3. Let p(w) = 7*i(w) + 2*k(w). Let z(s) = -4. Determine -3*p(m) + z(m).\nAnswer: -3*m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 53 - 3\/(-2)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w**2 - 25*w**2 - 14*w**2)*(0*w**2 - w**2 - w**2 + (4 - 2 + 0)*(-2 - w**2 + 2) + 0*w - 2*w**2 + 0*w).\nAnswer: 324*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2*2)\/(15\/(-2))*(-20)\/21.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4.872. Let c = -55.128 + a. Let i = -55.03 - c. Does i = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791 a factor of 204174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 53*c - 17\/6*c**3 - 50*c**2 + 3\/20*c**5 + 0*c**4 + 0. Differentiate y(x) wrt x.\nAnswer: 9*x**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 8:34 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/733207 and 19\/5633.\nAnswer: 31527901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880278211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Let s = l + -8. What is the units digit of s\/3 + -1 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 509483390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 3*b + 3*b**2)*(-2271 + 2703 - 102*b + 116*b) + (0 + 0 - b**2)*(-2*b - 1 + 1) to the form z + y*b**3 + k*b**2 + a*b and give k.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*l = 4*c + 24, -l = -3*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 - 7\/3. Let b(i) = -8*i - 15. Let z(x) = -15*x - 29. Let s(w) = 7*b(w) - 4*z(w). Let p be s(-4). Sort g, p, -1 in ascending order.\nAnswer: p, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 3*q + 3. Let b be g(-2). What is the second derivative of 19*n - 2*n + 2029*n**5 - 2031*n**b wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 137*b + 6392. Calculate the remainder when b is divided by 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2*m - 6*c**2 - 3*c*m - 23*c + 5003*m + 26 wrt c.\nAnswer: 6*c*m - 12*c - 3*m - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132595 or 132594?\nAnswer: 132595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = 5*a - 10, 4*o + 3*a - 8 = 0. Suppose -6*u - 7 = b - 4*u, -u = b + o. Solve 3 = y + b*w - 5, 5*y = w + 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.741 + 2.29. Let o = g - 0.5489893. What is o rounded to seven decimal places?\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-3)*9\/6. What is the greatest common divisor of 308 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 855*f**2 - 7*f + 19. Let o be q(2). Suppose 19*d - o = 5600. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4*h - 139, 3*w + 1579 - 3002 = -5*h - 1601 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040019 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4 + 250*p**3 - 5568*p**2 = 0.\nAnswer: 0, 29, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/((-270)\/(-20)))\/(3\/6*-4)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29478269 is divided by 185?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4012 (base 5) to base 2.\nAnswer: -111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - 3?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36599.\nAnswer: 36599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -a - 3. Find the first derivative of 341 - 60*t - 83*t + a - 73 + 48*t wrt t.\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229158131 to the power of 1\/2, to the nearest integer?\nAnswer: 35059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 greater than or equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 47*f**3 - 92 - 98*f**3 - 179*f**2 + 50*f**3 + 362*f + 92 = 0.\nAnswer: -181, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzzalwlwlzwzw. Give prob of sequence lw.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 7:48 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**3\/3 + 11*h**2 + 22*h - 895. Give o(22).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1687 - 0.8313. Let d = 0.15 + -2.15. Let x = 0.4 - 4.4. Which is the closest to u? (a) 5 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y. Let f(l) = 2*l**2 - l + 40. Give d(f(w)).\nAnswer: 12*w**2 - 6*w + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/8)\/(f\/(f*f**2*f)*f)*((f*f\/(f\/(f*f**(-6))))\/f)\/(f\/f**(1\/4))*((f*f*f\/(f\/f**1)*f)\/f**(3\/8))**(-20\/3) assuming f is positive.\nAnswer: f**(-679\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18166 - 18257.39. Let u = 91 + k. Let w = 0.542 + u. Round w to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - -269. What are the prime factors of d?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34301014 (base 6) to base 2.\nAnswer: 100000000010110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 4*h + 16 = 9*u, -4*h = -u + 38. Solve -y + 4 = -2*y + k, -u = 4*y - 5*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + 5 + 0.\nAnswer: 5 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 27*y + 27. Let g(a) = a**2 - 8*a + 23. Let w be g(8). Let k(s) = -w*s + 1 - 25*s - 27*s + 76*s. Give 2*d(z) - 54*k(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 955 and 45?\nAnswer: 8595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (29\/58)\/(157\/156 - 1). Let c(g) = g**3 + 13*g**2 + 14*g - 16. Let r be c(-9). Calculate the highest common factor of x and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + sqrt(3) + -1 - (1 + sqrt(48)).\nAnswer: -2*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9160535383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 633711244 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 2*k**3 - 18*k + 46*k - 17*k.\nAnswer: 2*k**3 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1596095 + 154969*g - 1596095.\nAnswer: 154969*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6730189 is divided by 204.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29c24b (base 15) to base 9.\nAnswer: -3711538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 97, 24741, 4 in decreasing order.\nAnswer: 24741, 97, 4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277263 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 28*f + 161*f - 69*f + 7 - 3 as g*f + c and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 16. Let k be u(-11). Suppose 3*g + 2*g = 3*o - 6, -k*g + 2 = o. Solve o*m + m = -6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27243817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5353*d - 147174 + 22095 - 206807 = 0 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98258*q**3 + 5*q - 5*q.\nAnswer: -98258*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + 2) - (13 + -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 220*t**2 - 161 wrt t.\nAnswer: 440*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2030 and 522.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, 1.5, -11674, -1?\nAnswer: -11674","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8.81 * 0.0833\nAnswer: 0.733873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*j - 820, -41 = 2*j + m + 754. Let r be (-214)\/3*(-1 - -4). Let h = r - j. What are the prime factors of h?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2280717 (base 9) to base 8\nAnswer: -4552203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t**3. Let a(q) = -10*q**3 + 469419*q**2 - 469419*q**2 - 4*q + 4*q. What is -5*a(d) - 3*i(d)?\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3637 or 1\/2?\nAnswer: 3637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*((w*(w*w**(-23)*w)\/w)\/w)\/w*w*w**1 assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133.419 + -0.881. Round z to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12433 - -1660.\nAnswer: -10773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*sqrt(108) + 3)**2.\nAnswer: -144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20664 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:41 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5 - 51*a**4 - 1449*a**3 - 4617*a**2 + 4698*a + 21384 = 0.\nAnswer: -12, -3, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (8 - (15 + -5) - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-724)\/120 - 54\/360*(0 + 4).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y - 131. Let p be i(19). Find the second derivative of -28*m + 5*m**3 - 15*m**p + 63*m**3 + 17*m**2 wrt m.\nAnswer: 408*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 3*s**2 - s + (-s**2 + 3*s**2 - 4*s**2)*(5 - 3 - 1) - 6*s**2 - s**2 + 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6735306 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 582 and 891?\nAnswer: 172854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*h = 323, -251 = -5*l - 3*h + 1364. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -3.1. Which is the third biggest value? (a) -2\/15 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34371 times 7.87\nAnswer: 2.7049977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 3*u + 7 - u to the form l*u + x and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*t - 21. Suppose 0 = 3*i - 4*p + 56, -3*i + 2*p - 7*p - 38 = t. Which is greater: i or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47998 is divided by 149?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/5, -1.46, 26, 4, -2\/3, 0.01?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27.2 or 0?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2bbc (base 15) to base 4\nAnswer: 2102322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 853111.8 micrograms?\nAnswer: 853111800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1043*d - 16 = -1047*d. Suppose 5*l - d*b - 3421 = 0, -l + 3*b = -3*l + 1373. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -28.5. Let k = -15 + 10. What is the second smallest value in k, u, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**3 + 10*s**2 - 8*s + 164. Is n(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 + -902\/5. Let h = -6.9 - 0.1. Let i = 9 + h. Which is the nearest to -0.1? (a) 1 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/((sqrt(80) + (sqrt(80)*2 - sqrt(80)))\/sqrt(8)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*w**4 + 3*w**4 - 2 - 7*w**4 + 6*w**4 - w**2 + 29*w**3 to the form a*w**4 + b*w**3 + n + f*w + r*w**2 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/18)\/((-1)\/2). Is ((-890)\/10)\/(-2 - m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2880 and 4.\nAnswer: -2876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 7. Let j be 6*(-1)\/4*2. Let h be (j - -2)\/1*-6. What is q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -6 + 7\/8*f**4 - 3\/2*f**3 + 1\/2*f**2 + 0*f. Determine b, given that d(b) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 243?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*r - 7*r - 25*r + 7080. Calculate the remainder when 632 is divided by r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Solve -12 = -2925*n + 2952*n - 228 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*r - 41*o = -193*r - 6, 5*r + 3*o + 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*h**4 + 907*h**3*y + 2171*h*y - h - 137*y wrt h.\nAnswer: -1752*h**2 + 5442*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**4\/6 + 37*l**3\/3 - 714*l**2 - 11076*l. Find h, given that a(h) = 0.\nAnswer: -51, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 3 = 4*i. Let w be (-112)\/3*5\/(15\/i). Let r = -19 + w. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21*36\/693)\/(-2)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -21*v**3 + 2*v**2 + 2*v - 3. What is h(-2)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 676, -1, 0.1332, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2 - 568*q - 12768 = 0?\nAnswer: -114, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11629623 divided by 16\nAnswer: -11629623\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:03 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c6 - -5?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*245\/(-5) + 4. Suppose m*s = 103*s. Solve s = 3*t - 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u + 5*u**3 - 10*u + (0*u + 0*u + u)*(2*u**2 + 2*u**2 - 5*u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((y**2 - y**2 + y**2)*(-6 + 3 + 1) + 5 + y**2 - 5)*(7 - 1 + y - 4) as p*y**3 + j*y + x*y**2 + a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*x**5)*(3263 - 4760 + 3904).\nAnswer: 7221*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -3*d**5\/4 + d**4\/6 + d**3\/6 - d**2 + 42*d. Let n be c(-1). What is the highest common divisor of 84 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f - 4. Let q(k) = -8*k**3 - 2*k**2 - 3*k - 2. Let v be q(-1). Suppose -j + 3 - v = 4*y, -4 = -y + j. Determine l(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-3 - 1) - (6 + 38 + -17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l - 1127 - 1951. Calculate the remainder when 680 is divided by l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33356136?\nAnswer: 2, 3, 11, 126349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1309)\/(-7)*2\/(-17)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 23*w**3 + w**2 + w - 2. Let z = 33 + -31. Does 47 divide g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5526*s - 58901 + 335237 = 231*s for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 700*s - 18829. Determine m(-28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*z - 2*t, -9*t = -4*z - 13*t + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 25, 2*o + 12 - 1 = -3*x. Solve -o*n = -0*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 47\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 324044 by -652.\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*a = 29, d = -3*a + 167 - 170 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50299 divided by -3?\nAnswer: 50299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017896223 to seven dps.\nAnswer: -0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 7942662.\nAnswer: 15885324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -2.805.\nAnswer: -0.36465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3336873\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**3 - 4*n**3 - 13*n**3 - 6*n**3 - 11 - 5*n**3 - 9*n**3.\nAnswer: 2*n**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40*120697\nAnswer: 4827880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 58675575.7 and -5.\nAnswer: 58675570.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-939)\/(-11268)*13\/(104\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-6 - -3))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3365.\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 0*m + 124 = 0. Let s(n) = -6*n**3 + 9*n**2 + 9*n + 13. Let a(y) = 3*y**3 - 4*y**2 - 4*y - 6. Calculate m*s(q) + 9*a(q).\nAnswer: 3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + n**2 + 2 + (4*n**2 - 2*n**2 - 17*n**2)*(2 - 3 + 3) + 6*n**2 - 4*n**2 - 7*n**2.\nAnswer: -34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1311 + -1281. Which is smaller: c or 532\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*p + 14028 - 5562 = 0, 4*p = o - 1698. List the prime factors of o.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rluhrulrrrrulls. Give prob of sequence rr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 52 + 22 = 2*k, -3*i = -5*k - 37. Solve a + 1 + 3 = i*n, n = -5*a + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -78 + 84)\/(1 + 5\/(-6))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + l - 4. Let b be q(2). Suppose -3*m + 4*u + 5 + 2 = 0, b = u. Solve 0 = m*s - 3*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c\/(c*c**(-3\/4)*c*c))\/c)**(-28) assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 749502 and 30.\nAnswer: 3747510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = 3*p, -3*p + 5*m - 4 = -8. Let n be (p - 0)*30\/(-20). Solve 0*i - 10 = -5*i + 3*l, -2 = -n*i + l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 59 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1038511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1675389224051\nAnswer: -1675389224048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5 - 12*m**4 - 6*m**3 + 80*m**2 - 99*m + 36 = 0.\nAnswer: -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266.4 + 270. What is h rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + -3 - (-3 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**7\/(l**(-3\/5)*l*l*l\/l**(2\/17)*l) assuming l is positive.\nAnswer: l**(-242\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122*v**2 + 121 - 121)*(-3*v**3 + 7*v**3 - 3*v**3).\nAnswer: 122*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*g + 375. Let a = -43 - g. Let b(f) = 20*f**2 - f + 2. Let r be b(2). Calculate the greatest common factor of a and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*w = -5, q - 5*q - w + 11 = 0. Suppose k - 2 - 3 = 0. Suppose h + 0*h + 9 = k*a, -2*h = 2*a - 6. Calculate the remainder when q is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5097 rounded to one decimal place?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(1*sqrt(144)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36370)\/116384)\/((-10)\/(-12))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 12. Let w = 547 + -539. Which is the closest to -0.1? (a) g (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141269 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974 is divided by 620.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5408910 divided by 90.\nAnswer: -60099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28190419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 778 + 448. Let p = -8605\/7 + q. Find the common denominator of ((-61)\/(-3))\/((-40)\/(-15)) and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9488, 19019, 28576, 38159?\nAnswer: 47768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:46 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:53 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33253 + -1?\nAnswer: -33254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/22 - (2 - 2) - 1. What is the closest to j in 5, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daqdudxjdduu. What is prob of sequence qxuj?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -70*y**3 + 7*y**2 + 7*y + 9. Is a(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 30*y - 16. Give x(-23).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023633?\nAnswer: 3, 13, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -4*s, -5*o - 24 = s. Let q(x) = -x**2 - 189*x + 4. Let f be q(0). Let z(c) = -4*c**3 - 2*c - 1. Let r be z(-1). Sort f, r, o.\nAnswer: o, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:28 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1071 + 235. Let h = k - -836.00113. Round h to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpppbbbpbpbbb. What is prob of sequence bpbp?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2027, -2093, -2159, -2225, -2291?\n\"Answer: -66*u - 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 699 + -699. What is the smallest value in -2.13, j, 5?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*2514.584.\nAnswer: -32689.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -110 + 2171?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -25*m**4\/24 + 67*m**2. Let x(o) = 3*o**2. Calculate j(x(h)).\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36287004 - -8926614917\/246. Let k = 1\/123 - x. What is the common denominator of k and ((-88)\/(-30) + -3)*-18*(-20)\/(-27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -21*w. Let n(o) be the first derivative of o**3\/6 - 9*o - 2. Let k(s) be the first derivative of n(s). Calculate b(k(t)).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 35*c**2 - 473*c - 953. Let j be o(-2). What is the greatest common factor of j and 833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 13*x - 15. Let y be t(-12). Put y, 1\/3, -1\/5 in descending order.\nAnswer: 1\/3, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4040267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720655 is divided by 573550.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7029126 and 28458?\nAnswer: 7029126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a084 - 5?\nAnswer: -a089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/2 + (21 - 24). Let n = p + 58. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z*z**(2\/35))\/z))\/((z*(z**(-21)*z)\/z)\/z))\/(z\/(z**(-15)\/z))**32 assuming z is positive.\nAnswer: z**(-18307\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300 - 26*t + 323 - 1260 + 327 + 310.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15762 - 15782. What is the smallest value in 1, 2\/21, 3, -8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 1. Let j(u) = -13*u**2 + 11. Let f = 62 + -64. Calculate f*j(b) - 22*s(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from {j: 1, u: 1, k: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8680 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 2. Let b(s) = -300*s**2 + 2*s - 26. Give -b(w) - 12*i(w).\nAnswer: 312*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 5, -0.08, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**4 + 669*j**3 + 3*j**2 - 35123*j.\nAnswer: -48*j**2 + 4014*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3780*s - 3780*s + 274*s**2.\nAnswer: 274*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11576.7094 rounded to the nearest one hundred?\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 319*g**3 - g. Let l be z(-1). Let a = l + 489. Is 2\/(-4) + a\/6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 428 + -47615?\nAnswer: -47176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 495\/8. Calculate the common denominator of n and -54\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9020 and 10510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 607*t - 3643. Calculate h(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5136396.\nAnswer: 2, 3, 428033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 248767067 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*t**3 + 4*t**2 + 4*t**2 + 202*t**3 - 6*t**2 - 1115*t**3.\nAnswer: -1187*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*5\/(-24)*(-20)\/(-50). Let u = -0.9 + -0.1. Let a = u - -0.8. What is the closest to a in 5, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/(-5)*(-3)\/((-6)\/5). Suppose i*v - 599 = 553. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -1393, -4676, -11057, -21568, -37241, -59108, -88201?\nAnswer: -125552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 2*j - 1. Let o(n) = -5*n - 9. Let a be o(-2). Let y be k(a). Let d(t) = 53*t - 34. Is d(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132 - 5?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 18*b**2 + 34*b + 31. Let m be x(-16). Suppose -a = -11 + 1. Let j be (m*3)\/(225\/a). Is -1 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 142*b - 74*b - 68*b + 3*b**2.\nAnswer: 3*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-81)*((-155)\/10 + 17).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4)*-13)\/(7104\/(-96)*(-1)\/37).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 + (-2)\/47. Let j = 261\/1151 + 104015\/216388. Let a = j - b. Which is bigger: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20545 - -20532. What is the closest to -17 in -1, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163596 = -33*a + 689637 - 18300. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 3 - 3)*(-2 + 2 - 2)*(26*c**4 - 14*c**4 + 20*c**4).\nAnswer: 384*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - 5*(sqrt(117) - (3*sqrt(117) + sqrt(117))))\/sqrt(9) + (-1*sqrt(1053)*-5)**2.\nAnswer: 16*sqrt(13) + 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let k(p) be the first derivative of -19*p**2\/2 - 30. Give k(o(z)).\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6)\/j)**(-12)*(j*j**(-3)*j)**(-2\/5) assuming j is positive.\nAnswer: j**(-358\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/111 and -93\/1040.\nAnswer: 115440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059613408 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56107.49nm to millimeters.\nAnswer: 0.05610749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 * -72.03\nAnswer: 1872.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*sqrt(130)*1)\/(sqrt(10)*-1*1) + 1.\nAnswer: 1 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 10*g - 8. Suppose -12*d - 5*x - 15 = -10*d, -5*x = d + 20. Let k be d\/(-60) + (-763)\/(-84). Give y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10928009 is divided by 2185596?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51676*q**2 + 6810*q**2 - 363*q**2)*(5*q - 4*q - 2*q) as n*q + r + s*q**3 + y*q**2 and give s.\nAnswer: 45229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*q - 2*d, 7*q - 2*d - 130 = 2*q. Suppose -5*x - q = -81. Let b = 17 - x. Solve -r = r - b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 170 = -5*z, -4*g - 95 = -4*z + 1. Calculate the remainder when z is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from zorwl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1739 - -1739.5. Put 0.037, c, 2.2 in ascending order.\nAnswer: 0.037, c, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/12189 or 1?\nAnswer: -2\/12189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.006 and -43331.\nAnswer: -259.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)*m**(2\/9)*(m**(-1))**(-1)*(m**8\/(m*m**5*m*m*m*m))\/(m**(2\/11)*m**(-2\/17)) assuming m is positive.\nAnswer: m**(-9832\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 3) + (-2 - -1). Let g(x) = -4 + 4 + 4 - 3. Let y(a) = -2*a - 1. Give p*y(c) - g(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 31*s + 31. Let r be i(-1). Suppose 4*j - 3*b - 15 = -j, 2*b = -5*j + 15. Suppose r*u = j*u. Is u equal to -2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4151886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3107*k**3 + 7*k + 8. Does 15 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {r: 5, n: 1, z: 11, j: 3}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 8. Suppose 0 = -3*r - q*r + 260. Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 107*d**2 - 8*d - 212. Let n be w(-18). Round n to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 38. Calculate the greatest common factor of 403 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.196 minus 4.58?\nAnswer: -4.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 13, 9, 5, 1, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.926 - -0.074. What is the closest to 1 in 1, -1\/2, 6, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3329899 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 3) in base 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 0.5?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**3\/3 - 5*a**2\/2 - 222*a + 1. Determine x(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33103.75 meters?\nAnswer: 33103750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024896002?\nAnswer: 2, 13, 4969, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.065. Let t = 6.035 - m. Is -0.6 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b8 (base 14) to base 13.\nAnswer: -459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 - (0 + (-1 - -1))) + -6181 + 6169\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7089, -14213, -21381, -28593?\nAnswer: -35849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 137*v**5\/60 + 25*v**4\/24 - 139*v**3\/6 - 42*v**2 - 2. Is y(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(700) + 0)**2 + 3 + (sqrt(126)\/sqrt(2))\/sqrt(9).\nAnswer: -2097 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 709, 1465, 2221, 2977, 3733?\n\"Answer: 756*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/118, -0.06, 0.1 in decreasing order.\nAnswer: 0.1, 1\/118, 0, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1880394 - 1880394 + 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 2261?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004006201 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + -9 + 7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 - 1936 = -121*z + 7700. What is the second smallest value in 5, 0.1, z, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -2.77056?\nAnswer: -17.22944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 116 = 14*s. Let c = 59 + s. Let l(x) = -1. Let m(p) = -2*p + 5. Give c*m(i) + 6*l(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 192. Suppose -261 = -5*f + c, -c + 6*c + x = 2*f. Suppose -3*h = -f - 625. List the prime factors of h.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 110, 348, 806, 1556, 2670?\nAnswer: 4220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -20)\/(-2) - -1447 - 4. Which is bigger: a or 1448?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4.42 (b) -5 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 563 - 563. Are m and 2\/153 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.73 times -1147\nAnswer: 837.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t + 10 - 2 - 20*t**5 - 8 wrt t?\nAnswer: -400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -o - 16*s, 20537035*o = 20537037*o - 2*s - 36 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214435057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 10:24 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 60441, -5 in ascending order.\nAnswer: -5, 5, 60441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 10 = 20*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:12 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 4*f + 5. Let k be m(-4). Suppose 0 = c - 2*v, k*v = -3*c - 0*v + 11. Let g(o) = c*o + 3 + 0*o - 1 + 2*o**2. Calculate g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 5*l**2 - 1 + 2*l**2 + 2*l**2 - 4*l**4 to n + f*l**3 + t*l**4 + r*l**2 + o*l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.196 and 9.7151.\nAnswer: 3.5191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -155*d**2 - 8*d - 4. Let p(m) = -4*m. Calculate p(i(v)).\nAnswer: 620*v**2 + 32*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -222, -738, -1752, -3432?\nAnswer: -5946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**2 + 11*d**2 - d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9827.\nAnswer: 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71127\/2 + -3698521\/104. Calculate the common denominator of g and 65\/32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0*t - 3 + 2 + t**3 - 2*t. Let r = 2 - 3. Calculate j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1314, -1286, -4, 1\/6 in increasing order.\nAnswer: -1314, -1286, -4, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d + 7. Suppose 5*b - b + 24 = -4*c, 2*c = -b - 10. Is z(c) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840290 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/7))**(17\/2)*(((c\/c**(-3\/8))\/c*c)\/c)\/c**6 assuming c is positive.\nAnswer: c**(297\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-3 - 13\/(-5)). Let s(k) = 6*k - 2*k - 3 + 10 - 4*k**2 + k**3 - 2*k**d. Let y be s(5). Solve 0*m - 10 = -y*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28964811*w**3 - 42*w**2 - w - 31788?\nAnswer: -173788866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 143\/(-5) + 18\/(-45). Suppose -5*z = -15, 4*i + 24 + 199 = 5*z. Let k = f - i. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 2*w - 4, 179*u = 182*u - w + 1 - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 654358128 to the power of 1\/3, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c8 (base 14) to base 4.\nAnswer: -11310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*f - 8, 4*o = -0*f + 2*f - 4. Suppose -t + 3 = f*t. What are the prime factors of (t - -8 - 1) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1273 = z + z, -4*z = 2*f - 506. Suppose -4*g - 2*n + f = 13, 5*g - 4*n = 283. Let -29 + 6*h**2 + 4*h - 30 - 2*h**4 + g = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(6\/(-24))*(1 - 0). Let t(x) = 6 - 6*x**2 - 3*x + 62*x**2 - 52*x**2 - x**3. What is t(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + (sqrt(126)\/(sqrt(6) + sqrt(18)\/sqrt(3)))\/(sqrt(49)\/sqrt(7)*-6))*6)**2.\nAnswer: 4*sqrt(3) + 67\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187396? (a) -0.1 (b) 0.03 (c) 1\/9 (d) 0.3 (e) -0.4 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -358, -412, -498, -616, -766, -948, -1162?\n\"Answer: -16*g**2 - 6*g - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3055 + 3055. What is the nearest to -0.1 in 0.15, -3, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.675 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -29 (c) 32659 (d) -3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, k: 6}. What is prob of picking 3 k and 1 n?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f + 3*v - 12 = 0, -3*f - 2*v + 13 = 0. Let q = 0 + f. Let u(r) = r**2 - 4*r - 3. Determine u(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.086287 to 3 dps.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**3 - 6*k**2 - 16*k + 3. Let c(x) = 3*x**3 + 3*x**2 + 7*x - 2. Let h(s) = -5*c(s) - 2*y(s). Determine h(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33180 and 27650.\nAnswer: 165900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 1064 = 71*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 u when three letters picked without replacement from {q: 2, u: 13, b: 3}?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*z = -z - 11, z = -4*y + 17. Sort 0, y, 30 in decreasing order.\nAnswer: 30, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 - d**3 - 8*d**3 - 20 wrt d.\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648 a factor of 34046600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7681 - 7668. Sort -3, 0, -22, y in increasing order.\nAnswer: -22, -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374 and 23804?\nAnswer: 404668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2414*t**2*z**6 - 627*t**2*z**2 - t*z**3 - 1081*t*z**2 wrt z.\nAnswer: 289680*t**2*z**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4015963 and 280630.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 729004*h**2 + 281955 wrt h?\nAnswer: 1458008*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 84\/3713?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 - 24376*n**3 - 558620*n**2 - 534248*n = 0. Calculate n.\nAnswer: -6071, -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*c + 42. Let t = 513 - 507. What is the lowest common multiple of t and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45013 = -507*c + 73405 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64\/12 + -5 + 84552\/36?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1, 9 in increasing order.\nAnswer: -5, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + o - 17, -8*b + 4*o + 28 = -4*b. Let j(x) = -2*x**2 + 3*x. Let q be j(b). What is the tens digit of (-160)\/3*q\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j + 1. Let k(v) = 8*v + 3. Give 6*k(h) - 5*m(h).\nAnswer: -2*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 13246.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22850591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301*x + 12710 - 12712 + 32*x - 4*x**2 + 2*x**3 to the form c*x + g + l*x**2 + y*x**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 2 + 11 + 5*q**3 - 13*q - 6*q**3 + 15*q**2. Let p be n(14). Let j be 1\/p + 22\/10. Is j smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 62. Let x = 25.2 + f. Let t = 2.79999848 + x. Round t to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23594328?\nAnswer: 2, 3, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2529*g + 7 - 2548*g - 7.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y = -82*y - 23 + 119. Put 124, 0, y in ascending order.\nAnswer: 0, y, 124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = -14. What is the highest common divisor of 65 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.416, -1\/10, 47, -0.5 in increasing order.\nAnswer: -0.5, -1\/10, 0.416, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -502, -1002, -1484, -1942, -2370, -2762, -3112, -3414?\n\"Answer: v**3 + 3*v**2 - 516*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950.443um to millimeters.\nAnswer: 0.950443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -347.7 and 422.\nAnswer: 74.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Suppose 2*t = -3 + 7. Let g(r) = -r**2 + 10*r**2 - 30*r**2 - 3*r**t. Calculate g(x(u)).\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5746476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/714)\/((-3)\/35*(-70)\/(-21))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/((-11)\/(66682\/14))?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1660 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3980*s**3 + 7*s**2 - 12*s - 84. Let b be a(14). What is b rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(539) + -1 - ((sqrt(539) + sqrt(539)*-1 - sqrt(539)) + 4 - sqrt(539))) + -3 + -3)**2*2.\nAnswer: -1260*sqrt(11) + 10152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 + 0.06. Let z = 2.1 - 2.5. Let t = -3.4 + 4.2. Which is the biggest value? (a) t (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70, -144, -218, -292, -366?\n\"Answer: -74*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = 5. Solve -5*k - 17 = u, -c*u + 41 = -3*k + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17360 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -43*s**5 - 857*s**4 + 28053*s**3 - 55187*s**2 + 29858*s - 1824 = 0.\nAnswer: -38, 3\/43, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 - 2*m**2)*(-19 + 7 - 17)*(-m**2 + m**2 + 2*m**2)*(-3 + 3 - 3*m).\nAnswer: -174*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(4\/27))\/m**13)\/(((m**(3\/22)\/m*m)\/m)\/m**16) assuming m is positive.\nAnswer: m**(2977\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, z: 5}. What is prob of sequence xzxx?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -515\nAnswer: -56.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 23. Let q = l + 47. Let d = q - 2.9999721. What is d rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 9:03 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 22*p + 13 - 38 + 2 + 12*p to the form q + g*p and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*n**2 - 230875*n\/2 - 245395.\nAnswer: 5*(n - 5774)*(8*n + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - 266\/(-38)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 66. Suppose 5*t = 2*t + p + 109, -x*p = 2*t - 80. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6044, 12099, 18166, 24245?\n\"Answer: 6*d**2 + 6037*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20221112002211 (base 3) to base 8\nAnswer: -16050773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 2}. What is prob of sequence ree?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.311 - 0.211. Let z = -894\/7 - -128. Which is the closest to f? (a) z (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 9 = -5*m, -5*m + 8*s = 3*s. Let h = 194 + -194.5. Which is the third biggest value? (a) h (b) m (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -17. Let a = g - -7. Suppose -5*z = -3*x + 40, -10 = -7*x + 2*x - 3*z. Solve -n + 2*o = -a*o + 13, x*n + 8 = o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-12)\/18)\/(4\/(-42)). Let v(w) = -25*w + 27. Let p be v(a). Suppose -5*n + 562 = p. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3485 + 2a?\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 135*z**4 + 6*z**2 + 58*z + 12. Let k(f) = -135*f**4 - 5*f**2 - 57*f - 10. Let x(u) = 5*i(u) + 6*k(u). What is the second derivative of x(c) wrt c?\nAnswer: -1620*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*81\/(-30) - (-1 - 4). Let p be 96\/(-21) + 4\/6*6. Which is the nearest to 3? (a) z (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-117)\/(-67392)*(1 + 78) and -81\/8?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -340\/11, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 26*g + 77. Suppose -3*l + 12 = -4*x - 14, -29 = -3*l + x. What is the hundreds digit of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112235 (base 6) to base 11.\nAnswer: -7237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 1, g: 7}. Give prob of picking 4 g.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-55)\/198*1*680\/68?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4171, -8341, -12511?\nAnswer: -16681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 7 (c) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.7633516 rounded to two decimal places?\nAnswer: 27.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 1. Is 23 + (3\/z)\/(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -19 + 22\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 31560844.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3178, 5772, 8368, 10966, 13566, 16168, 18772?\nAnswer: 21378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.116 - -25.884. Let q = p + -27. What is the nearest to q in -0.4, 6, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 x when three letters picked without replacement from {c: 1, f: 1, n: 3, x: 5, g: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -22. Suppose -5*w + a = 4*q, -15 + 4 = 2*q - 3*w. Let f be 3\/q*-3 - 4. Solve -3*m = f*n - 8*m - 35, 5*m = -25 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-6)\/56*4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -181480.\nAnswer: 72592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304.63 - -74172.63. Let n = -73868.070218 + l. Let i = -0.07 - n. What is i rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-267)\/(-712))\/((-3)\/349) + (-63)\/168?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1765*y**2 + 259*y**2 - 180*y**2 + (1 - 4 + 4)*(-y + 4*y + y**2 + y).\nAnswer: -1685*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8132 and 1140?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -557 + 722. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*l + 3*l = 19, 0 = -l + 1. Let m be 5*6\/k*1 - -4. Is m smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33213 + -23032?\nAnswer: 10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.273 + 144.273. Let a = 75604022.4 + -75604166.4000114. Let d = j + a. What is d rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3283 is divided by 205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0378740961 rounded to 6 decimal places?\nAnswer: 0.037874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6976 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - d - 1. Let t = -35 - -29. Let p(j) = j**2 + 45*j + 35*j + 2*j**2 - 72*j + 6. Calculate t*n(q) - p(q).\nAnswer: 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*o = -515, 4*v + 2*o - 4*o + 430 = 0. Let w = v - -292. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 340 and 1.7.\nAnswer: 341.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -334.5625?\nAnswer: -1003.6875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/30 smaller than 6335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 divided by -7?\nAnswer: 404\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -589\/1166 - -3\/583. What is the nearest to z in 6, 0.5, 4, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82345 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -384, -577?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 63 = -5*w. Suppose -5*n - w = -44. What is the highest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a + 4*g = -24, g = -4*a + 11. Calculate the lowest common multiple of a and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.5 - 42. Let l = s + 0.5. Let v = 11 + l. Sort v, 2\/7, 4 in descending order.\nAnswer: 4, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 8614299?\nAnswer: -34457196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, v: 2, p: 3}. What is prob of picking 1 y and 2 p?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100190.\nAnswer: 2, 3, 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13) + (3 - 3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 11 = 3, 0 = 5*i + 3*q + 31 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6533\/235 - 27)*-75.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5 + 5 - p. Let m(y) = 3*y + 3. Suppose -297 = -j - 302. Calculate j*t(r) - m(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 5*b + 5*b + (1 - 2 + 4)*(2*b + b - 2*b) + 4*b + 1 - 1 in the form q + g*b and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.828*-1\nAnswer: -0.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 - 2 = 0. Suppose 57 = t*y - 0*y. Suppose 4*a = -3*u + y - 3, -u = -a + 11. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(153) - (-2 + sqrt(153))))**2 - ((2 + sqrt(153))**2 + 2)*-6.\nAnswer: 72*sqrt(17) + 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212258615 + -0.075.\nAnswer: 212258614.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/15 - 4278*q**2\/5 + 1983536*q\/15 = 0.\nAnswer: -6568, 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24629085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - z - 82*z**3 - 2*z**2 - 34*z**3 + 115*z**3 as i*z + h*z**3 + x*z**2 + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -3734418?\nAnswer: 3734420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -181087754600 rounded to the nearest 1000000?\nAnswer: -181088000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -266*j + 3. Let z be t(-1). Let p = z + -107. Calculate the remainder when p is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 84 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*h - 11, -83*l + 2*h + 8 = -87*l. Is -10\/283 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llsllllssvslllsslssl. What is prob of sequence ss?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 - 9*w**3 + 8*w**3)*(4*w + w - 3*w + 3).\nAnswer: -12*w**4 - 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 8. Let h = 0.062 + -0.062. Which is smaller: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 10:52 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 25, 1007*l - 2014*l - 228 = -1011*l - 48*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27032 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = -5*p, p - 12 = -2*p + 3*i. Let l be (3 - 5)*(-11)\/4*14. Is l\/p + 3\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.29 - 33.41. What is u rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**3 - 206*o**2 + 34*o + 287. Determine i(41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102617965, 205235934, 307853903, 410471872, 513089841, 615707810?\n\"Answer: 102617969*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Suppose -d + 5*d - 2*c = 24, 22 = 2*d + n*c. Let h(x) = x**3 - 6*x**2 - 8*x + 7. Calculate h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229\/305 - -3\/61. Which is the smallest value? (a) 9 (b) 3\/4 (c) -2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 20*n**3 - 15*n**2 - 20*n + 20.\nAnswer: -5*(n - 2)**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 49.4. Let l be 2*3\/(-6)*1. Let i be 15\/(-3) + 1 + l. What is the closest to o in 2\/7, i, 2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - 4*w**5 + 6*w**5 + (5*w**3 + 3*w**3 - 6*w**3)*(-4*w + 4*w - w**2) - w**2 - w**5 + 1984*w - w**2 - 1572*w.\nAnswer: -4*w**5 - 2*w**2 + 412*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 3, -9, 69.\nAnswer: -9, -3, 1, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 50. Suppose 3*g = -g + j. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 14*w - 204. Let t be v(23). Let y(n) be the second derivative of -18*n - 5\/4*n**t + 0 - 75\/8*n**2 - 1\/16*n**4. Factor y(b).\nAnswer: -3*(b + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/20 - 7*n**4\/12 - 4*n**3\/3 - 3*n**2 + 6*n - 40. Determine h(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -4923\nAnswer: -4950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65666 + 41769. Let p = y - -23896.799944. Let j = p + 0.2. Round j to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r + 9. Let y be m(3). Let k = y + 2. Solve 5*z = 2*v - 15, k*v - 4*v - 2*z = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (11 + (-4 - (4 + -3)) - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -191604 + 191604 + 1582*h + 3270*h in the form y*h + d and give y.\nAnswer: 4852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2 and -9 - (36604\/(-1912) - -10).\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 (base 8) in base 9?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 1\/5 (c) -3 (d) 86\/5 (e) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 548 + 1501. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g + 106*g + 6 = 50*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1715438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 - h**5\/15 - h**4\/4 - h**3 - 77*h**2 - h. Let p be b(-3). Solve -2*z + 7 = 2*w - 13, 0 = -p*w + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031693087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/120 + t**4\/3 + 3*t**2. What is the second derivative of a(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 952590.5 - 952592.17001148. Let d = m + 1.67. What is d rounded to 7 dps?\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*t**2*w**3 - t*w**3 + w**3 - 6*w**2 wrt t?\nAnswer: 50*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551214214 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 24. Suppose -u - c = -0*u, 0 = -2*u - 5*c + 6. Let z be (-2 - -2)*u\/4. List the prime factors of i(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 152 = -52. What is the remainder when w is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007*j + 16 = -1009*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 2*y + 2*y**4 + 7 - 4*y**2 + 2*y**2 + 3*y**2 in the form q*y**4 + k + j*y**3 + o*y + b*y**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -485.48 + 452.54016. Let s = n + -0.09916. Let x = 33 + s. Round x to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from tqkhkyqtwkktqqy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/10)\/j**(4\/7)*(j*j**(5\/4))\/(j\/((j**(-7)*j*j)\/j))*(j**(-1\/2))**(-1\/6)\/((j\/j**(2\/15))\/(j\/j**8)) assuming j is positive.\nAnswer: j**(-2731\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 10. Let z be u(-8). Let f = -6 - z. What is f rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9517888*o**3*t**2 + o*t**2 + 2*o*t - 11503*o + 2*t**2 - 35 wrt o.\nAnswer: -57107328*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1499 and -1.1?\nAnswer: 1648.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)\/t*t)**(1\/21)*t**6*t**(-1\/2) assuming t is positive.\nAnswer: t**(1159\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*i*v**4 - g*i*v**2 + 2*g*i*v - g*v**3 - 99*g - 61595*i*v**4 + 12*i wrt v.\nAnswer: 48*g*i*v - 6*g - 1478280*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from {b: 7, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2176\/24)\/17 - 6\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 48. Which is the nearest to -4? (a) -2 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4 - -3)) + 3 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**4\/12 + 7*x**3\/9 + 2*x**2 + 576. What is p in z(p) = 0?\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**2 + 1111*u + 953. What is l(-110)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -689\/12 + 173\/3. Factor -3\/2*f**3 + 0 - f**4 - 1\/4*f**5 - f**2 - j*f.\nAnswer: -f*(f + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 + (-69)\/(-9). Suppose -2*m = -0 - 4. Let q = m - x. Let u(b) = -b - 4. Calculate u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 10*v**2 - v - 11. Give z(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/10)\/(1\/(-16)). Let a be (-1)\/(-4) + (-42)\/168. Sort -1, z, a in increasing order.\nAnswer: z, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f**3 - 114*f**2 + 2992*f + 15. Let v(r) = 3*r**3 + 57*r**2 - 1497*r - 6. Let b(t) = 5*v(t) + 2*w(t). Find the second derivative of b(d) wrt d.\nAnswer: -6*d + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (4\/(-42))\/(7\/((-63)\/2))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2576, -6738, -13712, -23498?\nAnswer: -36096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 17*q - 5513 = -2*s, 11054 = 2*q - 3*s. Suppose 0 = -11*o + q - 571. What is the greatest common divisor of 100 and o?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7519637768 to the nearest integer?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u + 12. Let p be a(-5). Let m = -3 - p. Suppose m*c = -4*f - 6, c = -2*f + 5*f - 5. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 13 = 63 + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2036.513 and 1?\nAnswer: -2036.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 16*x + 20. Let k(p) = 3*p**2 + 24*p - 30. Suppose -5*s - 5*z = 30, 0*z = 2*s - 2*z + 16. Let l(c) = s*j(c) - 5*k(c). Give l(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*x - 198*x - 275*x**3 - 295*x.\nAnswer: -275*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(684) - (sqrt(684) + 0 + sqrt(684) + sqrt(684)))**2)*6.\nAnswer: 16440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -1\/3 (c) 0.3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*d - 407*d + 203*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = g + 19, -6*g - 98 + 64 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - 1)\/(1 + 1). Calculate the common denominator of -43\/9 and k\/1*65\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 345 + -342. Let s = 0.03 + -4.03. Which is the nearest to 5? (a) s (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 13*o - 22. Let j = -270 + 278. Let d be h(j). Factor 1\/2 + w**d + 9\/4*w.\nAnswer: (w + 2)*(4*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 137.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347864 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 1 - -3*sqrt(11)*1 - (sqrt(99)*3 + (sqrt(704) - -2*sqrt(704) - sqrt(704)) + 4))**2.\nAnswer: 96*sqrt(11) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t. Let s(l) = 3*l. Let m be 6\/6*(4 - -1). Let v(w) = m*x(w) - 8*s(w). Let o(d) = -2*d. Determine o(v(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-1)\/1 - -2584 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (8 - 15) + (-3 - (7 - 8) - -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177346.\nAnswer: 2, 13, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 730\/3723*28\/(-40)*(-48)\/(-84)\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 49*o**2 + 7*o + 58*o**2 - 168*o**2 + 4 + 60*o**2. Let l = -7 + 13. Let f be z(l). Solve 4*n + 18 = 3*q - f, 5*n = -q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 69, 44, -37?\n\"Answer: -28*m**2 + 115*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14561 + -14565. Let f = 12301\/390 + -446\/13. Let z = f - -1\/10. Which is greater: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:26 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h**2 + 0*h**2 - 5*h**2 - 13*h - 6*h**2 - 5*h - 21 to the form k*h + r*h**2 + q and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + 2 - 1 - (-43 - 83 - -129).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 q when three letters picked without replacement from eqqqqqeqqqqqeqqq?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101 (base 3) to base 8.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 0*a**2 + 1\/4*a**4 + 5*a - 7\/3*a**3 - 2. List the prime factors of m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/2 - 450\/264*4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -4)*12\/(-24). Is 50\/307 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 360, 352, 346, 342, 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.5 (c) 9 (d) 2\/19 (e) 30208\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7138536 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*3 - (sqrt(13) + 0 + 2 - sqrt(13)))*-1)**2 - (sqrt(13) + sqrt(78)\/(sqrt(48)\/sqrt(8)) - (sqrt(1872) + 2 - sqrt(1872)))**2.\nAnswer: -52*sqrt(13) + 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 290161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**2 - 3*o - 2. Let u(t) = -5*t**2 + 3*t + 2. Let p(k) = 6*h(k) + 7*u(k). Suppose 0 = -0*g + 2*g - 14. Suppose 5*d + 13 + g = 0. Calculate p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6987340.8ms in days?\nAnswer: 0.080872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 28, 80, 186, 364, 632, 1008?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -a16?\nAnswer: -a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66.99, -5, -3 in increasing order.\nAnswer: -5, -3, 66.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -894384 divided by 74532?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 822\/(-42) - 10\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 2, t: 1}. What is prob of sequence tn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -4*l**6\/15 - l**4\/3 + l + 3. Let z(a) be the first derivative of j(a). What is the third derivative of z(u) wrt u?\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 15*i**2 + 40*i + 39. Determine y(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1731 - 53222 = -s + 1498*s + 6424 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5182686*b**2*t**2 - 28*b**2*t + 3*b**2 + 4*b*t**2 - 3*b*t + b - t - 132 wrt t?\nAnswer: 10365372*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -37*f - 40*f - 36*f + 156*f - 41*f. Let y(k) = 43*k. What is l(y(j))?\nAnswer: 86*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 17*o - 132. Let b(s) be the first derivative of 6 - 160\/3*s**3 + 1\/3*s**o - 64*s + 80*s**2 + 20*s**4 - 4*s**5. Suppose b(v) = 0. Calculate v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00344647588 to 5 decimal places.\nAnswer: -0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k*k**(2\/15)))\/k)\/(k\/(k\/(k**(-5)\/k*k))))**(-43))**(-4\/11) assuming k is positive.\nAnswer: k**(7396\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 196*a**2 - 1998*a - 145. Determine j(-10).\nAnswer: 1235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 19*o + 3*o + 2*o + 1279 + 13*o.\nAnswer: 3*o + 1279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-4)*((-24)\/78)\/((-182)\/338)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 + u + 11. Let f be g(2). Solve f*x = -2*b - 27, 5*b + 7 - 2 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/76140 and -29\/8460.\nAnswer: 76140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12 and -44.3.\nAnswer: -32.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34128 and 948.\nAnswer: 34128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoo when three letters picked without replacement from {q: 4, o: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 1. Let p be n(-4). Let h be (-400)\/120*726\/(-5). What is the common denominator of 91\/16 and 1*p + h\/32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k**3 + k + (k**3 + 0*k**3 + 0*k**3)*(60 + 24 + 46).\nAnswer: 132*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 150\/35 - (-4)\/(-14). Suppose -o + p*o + 195 = 0. Let v = -36 - o. Solve q = 2*u - 5, 3*q + 6*u = u + v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 116965, 230231, 343497?\n\"Answer: 113266*x + 3699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 20 = 2*q, 275*q = 276*q - h + 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 92665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (432\/192)\/((-255)\/(-204))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 41.5. Is -1 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**3\/3 + 2*g**2 + 3*g + 23. Determine w(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnnnxnnnu. What is prob of sequence nu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95876 and -0.07523.\nAnswer: -7212.75148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5440208126 to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -752a + 1?\nAnswer: -7529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150960 and 38013060.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/198260 and 143\/360.\nAnswer: 3568680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 245\/2100 - (-2)\/(-30)*(-14 + 12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = 11*j + 153 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -4. Calculate the common denominator of 3 + 1*321\/s and -127\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6840214 + -0.4\nAnswer: -6840214.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*4\/(-36))\/(7\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -1.165.\nAnswer: -1.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36516*j**3 + 39 - 11 - 28.\nAnswer: 36516*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/5 + 216*m**4\/5 + 548*m**3 - 8216*m**2 - 844662*m\/5 - 3444896\/5 = 0.\nAnswer: -91, -13, -7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44469, -355204, -1198633, -2841102, -5548957, -9588544, -15226209?\nAnswer: -22728298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 90, 1 in decreasing order.\nAnswer: 90, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5511, 5670, 5935, 6306, 6783?\nAnswer: 7366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2348 - -3316. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*u - 11. Let v(l) = 1 + 2*l**2 + 2*l + 4*l - 2. Is v(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9160 a factor of 2625640720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.1029\nAnswer: 0.5145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-55)\/(-22))\/((-20)\/(-16)). Is 11\/8 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 688302*o. Let l(f) = 3*f. What is a(l(z))?\nAnswer: 2064906*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-18))\/((225\/(-10))\/9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -94.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 313242?\nAnswer: 313242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 1\/6*2. Let i = 3 + -2. Let z = 275\/7 - 2447\/63. Which is the closest to d? (a) z (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 0 - -7 - 2. Suppose o*t = 9*t + 4600000. What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83662 in 4, 3.7, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/5 - 538*s**3\/15 - 25604*s**2\/5 + 129832*s\/15 + 17264\/5 = 0. What is s?\nAnswer: -78, -1\/3, 2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irv when three letters picked without replacement from vjirrxr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-112)*-1 - (-15108)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*k - 306, 66 = t + k - 0*k. What is the highest common factor of 42 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.3 + -42. Let c = p - 3. Let o = c - 1.3. What is the nearest to -1 in o, -4\/9, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfi when three letters picked without replacement from {x: 2, i: 7, f: 2}.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 15*h**3 + 21*h**2. Let x(q) = 7*q**3 + 10*q**2. Give -6*k(a) + 13*x(a).\nAnswer: a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2126284481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + 14 - 6*o - 14 in the form c*o + l and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m**4 - 176*m**3 - 343*m**2 - 171*m + 3. Let t(w) = 3*w**4 + w**3 - 1. Let v(a) = 3*d(a) + 9*t(a). Solve v(z) = 0 for z.\nAnswer: -171, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 2 - 4*o - 3*o + 4*o**3 - 3*o**3 + 6*o in the form v*o**3 + m*o + r*o**2 + j and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-1248))\/(19\/5168*34).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119619 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + 45*x**3 - 4*x - 48*x**3 + x**4 + 7*x to the form y*x**3 + a*x**4 + w + b*x + j*x**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32692 + -9938. List the prime factors of o.\nAnswer: 2, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + 26\/10. Let x be 28\/462 - 582\/(-198). Suppose w - 368 = -x*a + 2*w, 5*a = k*w + 620. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 + 7*z - 1. Let w(f) = 6*f**2 - 7*f + 2. Let h(b) = 5*o(b) + 4*w(b). Let a be h(4). Solve -n + 3 = 4*u, 2*n = 7*n - 4*u - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, v: 2, w: 6, d: 2}. What is prob of picking 1 w and 2 z?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5260476.\nAnswer: 2, 3, 13, 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4118 + -2611. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 17. Let f = 18 + -19. Let o = 21 + f. What is the highest common factor of g and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -13099184155851.\nAnswer: -13099184155850.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*l**3 + 128*l.\nAnswer: 1854*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -415.483196 + 415.24. Let x = -0.1733 - k. Let j = x - 0.07. Round j to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a - 131. Give y(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6\/5*w**4 - 296\/5*w + 304\/5*w**2 + 214\/5*w**3 = 0. Calculate w.\nAnswer: -2, 0, 2\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/3460 + 5430463\/3460. Let t = -1615 + k. Find the common denominator of -79\/64 and t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 3626.\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 12*o**2 + 35*o - 18. Give b(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 14*r + 45. Let u be p(-6). Let q = -8 - -10. Which is the second smallest value? (a) 1\/5 (b) u (c) -2\/9 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-56)\/(-140))\/(1\/(-5)))\/((-8)\/(-12)). Let n be ((-4)\/2 - 0)\/(-1). Suppose 3*o - 24 = c, -3*o = 2*c + n*o - 7. Put c, 4, x in descending order.\nAnswer: 4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 8609 - 2513 + 4964. Is x a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -68*c + 7. Let k(i) = -2*i + 1. What is -6*k(j) + q(j)?\nAnswer: -56*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 7. Let a be p(0). Suppose -11 - a = -2*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59060 and 0.5?\nAnswer: 59060.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 866707 a multiple of 2619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.223 and 0.01574.\nAnswer: 0.03499002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5263, 5264, 5265, 5266, 5267, 5268?\n\"Answer: x + 5262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.3 - 18.8. Let y be (32\/(-2200))\/((-8)\/(-20)). Sort -1, k, y in descending order.\nAnswer: y, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let z(u) = -2*u**3 - 73*u**2 + 37*u - 2. Let m be z(-37). Which is the biggest value? (a) m (b) x (c) 1 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*b - 86*b - 2*m + 1430 = 0, 0 = -m + 5. Is b at least 330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 22 = l, -81*l = -82*l + r + 28. Solve 0 = -l*y + 36*y + 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 221\/104*(-29 + 13) + (-21)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 39 (c) -53\/43 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 24) + 0 + -1 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5620900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 4:50 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*a**2 - 23*a**2 + 95*a**2 - 25*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -95166, -95372, -95578, -95784, -95990, -96196?\n\"Answer: -206*v - 94960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l + 6*l - 5 + 0. Let m(n) = -4*n - 6. Give -5*g(p) + 4*m(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 1285 - 118. Suppose -3*a = -348 - o. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877599883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2975?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let x = 3933.06 - 3968. Let c = x - -35. What is the closest to m in c, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17622*t + 17612*t = -1290. What is the smallest value in -0.3, 0.5, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2. Suppose -3*p + 4 = -20. Let i(k) = 5*k - p*k + 3*k - 15 + 5*k**2. Let t(y) = 1. Let j(d) = i(d) + 15*t(d). Determine j(a(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283402 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247995 is divided by 116?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101010 (base 2) to base 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344 = 385*a - 1157 - 39 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8134\/2 - (1 - -1). Let j be v\/12 - (-3)\/(-4). Suppose -669 = -4*c - u, 4*u = 4*c - 6*c + j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8007480 and 65844?\nAnswer: 248231880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/7 (c) -5 (d) 106 (e) 0 (f) -755\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-145)\/(-3132)*(-4)\/30\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Suppose -12 - n = -y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Let f(x) = 1 + x + p + 1. Suppose -3*r = 5 + 7. Calculate f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.46348 centuries to years.\nAnswer: 6646.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 19 - 35 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 12:14 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48789 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 756.3, 2\/15, 20?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 0)*(8 - 7)*-3. Sort 5, 49, o in ascending order.\nAnswer: o, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 225, 908, 2011, 3504, 5357, 7540, 10023?\n\"Answer: -5*p**3 + 240*p**2 - 2*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2613, -2577, -2547, -2523, -2505, -2493?\n\"Answer: -3*n**2 + 45*n - 2655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -66 - (20 + -3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172357 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18004171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*j**2 - 2 + 0 + 40*j**2 - 24*j**2.\nAnswer: 64*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, 5, 4 in descending order.\nAnswer: 441, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -458 less than or equal to 2101203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94997389 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 697 in -7027, -2\/11, 10, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 33. Suppose i*f + 6 = 36. Let w(n) = f - 2*n - 8 + 2 + 2. Calculate w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:57 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 3:28 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 122 - 84. What is the smallest common multiple of 7 and a?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 159830 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-3))\/((-6)\/(-2)). Let k(x) = -2*x**2 - 7*x - 13. Let f(d) = -d**2 - 3*d - 6. Let a(c) = -7*f(c) + 3*k(c). What is the units digit of a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvkveasvavkvaeaaahv. Give prob of picking 1 k, 2 v, and 1 s.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p - 16*p)*(-10 + 1 + 4)*(p**2 + 4*p**2 + 0*p**2 - 5*p**2 + 3*p**2 + 3*p**2 - 3 + 3 - p**2 + 0*p + 0*p + p**2 + (p - 3*p + p)*(2 + 2*p - 2)).\nAnswer: 340*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*1*(-36)\/270. Let v be (-2)\/36*(-384)\/(-320). What is the nearest to o in 2\/5, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -308696604 by 804.\nAnswer: -383951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3897864 meters to micrometers.\nAnswer: 389786.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2 - 3. Suppose 4*x = n*t - 94 - 41, 0 = -3*t + 4*x + 81. Let c = 61 - t. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15003.9 rounded to the nearest one hundred?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 4*h**2 - 4*h - 1. Let v be 1*4\/(1 + -5) + 4. Let d(z) = -4 + 2*z**3 + 3 + 5*z**2 - 5*z - z**3. Let x(g) = v*y(g) - 2*d(g). What is x(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 33*c - 68. Is h(-38) a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7063 (base 8) to base 5\nAnswer: 104020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 0, -13*u + 9*u + 29 = -5*h + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**7\/840 + m**6\/60 + 5*m**4\/24 + m**3\/6 + 2*m. Let f(c) be the second derivative of x(c). Determine f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -890.54278 - -841.542861. Let q = 49 + j. Round q to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53, 97, 141?\n\"Answer: 44*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 56. Let q be n(-18). Factor -4*o**3 - 557*o**2 - 568*o**q - 48 + 1097*o**2 - 64*o.\nAnswer: -4*(o + 2)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 13054000?\nAnswer: 13053887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/8 + 24135*f\/8 - 3017 = 0.\nAnswer: -24136, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5927767 and -4.\nAnswer: -3.4072233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 664483, 664489, 664497, 664507?\nAnswer: 664519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 94738, 378942, 852610, 1515742?\n\"Answer: 94732*p**2 + 8*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205 (base 9) to base 4.\nAnswer: -2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 6\/1 - (-21 - 143)*5.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 0*y + 2\/3*y**3 - 3 - 3\/2*y**2. What is the second derivative of s(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose c*g = -2*g. Find the second derivative of -b**5 - 4*b + 2*b + g*b wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/(4\/6). What is the greatest common divisor of 8 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*w - 5 = 0, 5*w - 1 - 4 = 0. Let j be (-4)\/22 - (-4)\/22. Suppose j = 8*f - 4*f - 20. Put a, 7, f, 0 in descending order.\nAnswer: 7, f, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 5*l**2 + 3*l - 3. Let a be d(-3). Suppose 0 = -h - a - 6. Calculate the least common multiple of ((-2)\/3)\/1*h and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 936446?\nAnswer: 7491568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8334, -8342, -8362, -8400, -8462?\nAnswer: -8554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*m**3 - k**2*m + 11562*k*m**3 + k*m - 87*m**3 + 2*m - 65971 wrt m.\nAnswer: -12*k**2*m + 69372*k*m - 522*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*q + 820 = 0, -5*t + q + 810 = -t. Which is the smallest value? (a) t (b) 5 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-1)*(-1)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*x - 2*x. Suppose 17 = y + x. Find the first derivative of 5*o + y - 35 + 17 wrt o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 2*n**2 + 2*n + 4. Let c be (3 + 20\/(-8))*-4. Let g be x(c). Factor -9\/5*q**2 + g - 3\/5*q**4 + 9\/5*q**3 + 3\/5*q.\nAnswer: -3*q*(q - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/14)\/((-17)\/(-102)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jddd when four letters picked without replacement from {d: 9, j: 4, t: 3}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -55 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:14 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/234)\/(12\/(-9))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114325 and 1264300?\nAnswer: 21493100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Let m(i) = 9*i**3 + 8*i + 7. Let y(f) = 4*f**3 + 4*f + 3. Let o(q) = -3*m(q) + 7*y(q). Give -20*b(j) + 5*o(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*p = -312*p + 195*p + 315 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 103.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 14) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + (-13 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m**2. Let x(l) = -20*l**2. Suppose 34 = 14*n - 16*n. Give n*i(w) + 6*x(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 2*q**2 - 3*q**2)*(-2*q - 2*q + 5*q)*(-29*q + 15*q - 19*q).\nAnswer: 33*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 4*k + 5. Suppose 0 = -18*a + 293 + 337. Suppose 0 = 3*c + 4*c + a. Determine w(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 1, q: 1, b: 1, a: 2, v: 1}. Give prob of sequence vqo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 5*b - 3. Suppose -q - 8 = -3*q. Let g(i) = i**2 - 6*i**2 - 11*i + 0 + q + 3. Suppose -h = -4*h + 12. Give h*g(w) + 9*m(w).\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10112212 (base 4) to base 12\nAnswer: -a39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 + g**2 - g + 4. Is x(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.285487 to three decimal places.\nAnswer: -1.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*y**3 + 375*y**2 - 375*y**2.\nAnswer: 239*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + 13*w - 3. Let c(y) = 6*y + 38. Let o be c(-7). Let i be r(o). Let p(h) = 6*h**2 - 5*h. Is p(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27185 - 803595 = -10*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 156, 285, 400, 495, 564, 601, 600, 555?\n\"Answer: -w**3 - w**2 + 139*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 6*y + 4. Suppose 0 = 24*x + 14 + 22 + 60. Let c(o) = 4*o**2 - 4 - 5*o + 12*o - 2*o**2. Let d(r) = x*c(r) - 5*i(r). Factor d(a).\nAnswer: 2*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -5*s - 4*t, 0 = -366*s + 368*s + t + 22. Let k(o) = 7*o**3 - 5*o**2 - 4. Let f(y) = 11*y**3 - 8*y**2 - 6. What is s*k(i) + 5*f(i)?\nAnswer: -i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 141 - 148) + -63.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9707587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -0.1, 4, 17 in increasing order.\nAnswer: -34, -0.1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d9a9 - 24?\nAnswer: -2d9cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 3, 8 in decreasing order.\nAnswer: 8, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -34*m**2 + 603*m + 2332. Calculate n(-4).\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26589? (a) 2 (b) 4\/5 (c) 1\/8 (d) -0.13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 3*m - 3. Let u(t) = -10*t**2 - 174*t - 18. Let k(p) = 12*a(p) - 2*u(p). Solve k(y) = 0.\nAnswer: 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90*n + 10*n**2 - 295 + 85*n - 8*n**2 + (-4 + 0 + 2)*(-n**2 + 3*n**2 - 4*n**2).\nAnswer: 6*n**2 - 5*n - 295","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 114*a**2 - 11*a - 4. Let f be d(-6). Suppose 4*n = -o + 4170, -4*n - 3*o = -0*n - f. Suppose -3*l = 4*l - n. List the prime factors of l.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1417*b**3 - 17*b**2 - 7*b - 340. Let q be k(-20). What is q rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55*16\/(-264)*2\/15*-243?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75475 + -30?\nAnswer: 75445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-5) + (-3 + 129\/42 - (-75078)\/10836)\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 85436966433 - -2\nAnswer: 85436966435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -117. Let l(f) = 23*f**2 + 9*f - 16. What is the units digit of l(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 13775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -650 (base 7) to base 5.\nAnswer: -2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -4*n + 0*n**3 + 0 + 1\/6*n**4 - n**2. Factor z(d).\nAnswer: 2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.031 + 0.031. Which is the closest to -1? (a) p (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 4*j + 72 = -2*i, i = 3. Let x = -35 + 34. Is ((-8)\/(-16))\/(x\/j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*24\/(-20)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*b - 2*b - 102 - 118 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6880538151 to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/195150 and 49\/10250.\nAnswer: 40005750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 3*c - 18 + 5*c**3 + 115*c**2 - 2*c**3 - 106*c**2 + 2*c. Determine l(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = 5*q - 75, -49 = -3*q - m. Suppose q = -5*s + 92. Suppose -19*g + 1228 = -s*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*m - 4*m + 2, 0 = -5*z - 2*m + 20. Solve -z*c + 3*c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/27 + (-10)\/45. Suppose -f = -4*t + 2, 2*t - 3*f + h = -2. Solve 8 = -4*l - 2*x, x + t = l + 3*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 29*l + 10897 = 28*l, 2*p - 4*l + 10922 = 0. Let a be p\/(-909) - 10\/15*9. Is 0 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/8? (a) 4 (b) 0 (c) 0.4 (d) -18158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -38, -0.1, 3, -0.5, -4, 1.1, -34?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-45) - 80\/(-45). Let x be (-10)\/35 - (s + (-120)\/28). Solve 0*q = -x*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2. Let j(f) = -36*f + 88. Let s(y) = -4*y + 10. Suppose 2*z - 4*z - 56 = 0. Let k(a) = z*s(a) + 3*j(a). Give r(k(p)).\nAnswer: -16*p**2 + 128*p - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -28 + -12 + (0 - ((-3 - 24) + 3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 326 (b) 3 (c) 0.5 (d) -0.3 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 27*z**5\/160 + 11*z**4\/32 + z**3\/8 + 22*z - 6. Let f(o) be the first derivative of h(o). Factor f(s).\nAnswer: 3*s*(s + 1)*(9*s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -942 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekqr when four letters picked without replacement from qrqrkrqqqkqqqqkkrqer.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -244233*y**2 - 410793 wrt y?\nAnswer: -488466*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63474?\nAnswer: 2, 3, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -14. Let n(p) = -9*p**2 + 6*p - 3. Let q(m) = 28*m**2 - 18*m + 9. Let v(d) = -7*n(d) - 2*q(d). What is the tens digit of v(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 1\/1156 (c) -5 (d) 246\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -11. Suppose 4*b - 20 = -5*l, -b + 20 = 3*b - 5*l. Suppose -2*t + r = -6, -5 = b*t - 4*r - 17. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 1 + (-121976)\/10112\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(10)\/(sqrt(720)*2))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -43, -102, -185?\n\"Answer: -12*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 3. Let h be d(1). Suppose 3 = -c - h*c. Let i(k) = 15*k**2 - 36*k**2 + 4 + k + 20*k**2. What is i(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - (-2 - -6) - (4 - 11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 - -133. Which is bigger: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 145033 + -4027?\nAnswer: 141005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92413788?\nAnswer: 2, 3, 101, 76249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 0*y**2 + 0*y**3 - 8*y**2 - y**3 - 2*y - 12. Let l be p(-8). Suppose 35 = l*a - 0*n + 3*n, -2*n = 5*a - 49. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182 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: Expand (-2*b - b**2 + 2*b)*(5*b + 8*b**2 - 7*b - 3 + 4*b).\nAnswer: -8*b**4 - 2*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*u - 29, -3*b = -6*u + 2*u - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-23)*-5*(-29)\/(1740\/24)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8801 + 8833.564. Round f to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(1*58\/5). Let z = -2451\/232 - i. Calculate the common denominator of z and -7\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 544380 and 1072?\nAnswer: 145893840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 6*v = 2*v + 24, k - 37 = -4*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/3618036 and -29\/6.\nAnswer: 3618036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(832) + 3*4*sqrt(832) - sqrt(832)*-5*2) + 5)**2.\nAnswer: -2201140 - 18400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t**2 + 2*t**2 + t**2)*(23133350*t**2 - 3 - 23071582*t**2 + 3) - 2*t**4 - t**2 + t**2 to the form v*t + k*t**4 + p*t**3 + q + u*t**2 and give k.\nAnswer: -123538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -3, -4, -2, -84, -469, 21 in descending order.\nAnswer: 21, -2, -3, -4, -34, -84, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w - 6. Does 13 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -23. Let k be (-48)\/5 - (-6)\/u. Let i = 17 + k. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.95993ml to litres.\nAnswer: 0.02695993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 14*l**3\/9 + 418*l**2\/9 + 358*l\/3 - 18 = 0?\nAnswer: -27, -3, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126443706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/((-179)\/(-537)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-59)\/(-2) - (5 + 27\/(-6)). What is the tens digit of (h\/2)\/((-2)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -0*h + 3*v + 13, 5*h + 109 = 8*v + 90 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4\/5 - 8*i**3\/5 + 48*i**2\/5 + 32*i\/5 - 128\/5 = 0?\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1\/7, -2\/81, -2\/11 in increasing order.\nAnswer: -1\/2, -2\/11, -2\/81, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-10)*((-7480)\/(-986))\/(-44). What is the nearest to -2\/3 in -0.5, 1, u, 11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 1. Let d be x(3). Let j = d - 0. What is the remainder when 9 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 119621194\nAnswer: 47848477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3668 and 53\/126.\nAnswer: 33012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 69*y + y**2 - 66*y + 1 + 2. Let z be i(-5). Solve 5*w + z = 2*c + 2, 0 = 2*c - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86163575 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356*((-6)\/(-15) - 2\/(-20))?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 23*n**2 + 12*n + 12. Suppose -2 = -t - 9. Is j(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i**2 + 297*i + 934. Determine x(-5).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:54 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18542.7309 rounded to the nearest ten?\nAnswer: -18540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgf when three letters picked without replacement from fgfnfffgn?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-14)\/(-6))\/((-492)\/369).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Solve -1\/4*t**2 - 1\/4*t**j + 0 + 1\/2*t**3 + 0*t = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 285 + 920 = 0. Suppose -8*b = -545 - r. Let f be 30\/1*2\/5. What is the highest common divisor of b and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2485 and 24992.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -4, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95199 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-6))\/((-1)\/3). Let v = 11 - 7. Let m = s - v. Solve 0 = -5*d - r - 4, 3*d - 4*r + 1 = m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*g + 3. Let n(t) = -2 + 0*t**3 + 3 - 3*t**2 - 3*t**3 + 4*t. What are the prime factors of n(g)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -24*v + 34. Let w = 18 - 22. Let f be i(w). What is the greatest common divisor of f and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 3*p - 19, -415*p + 419*p = -15*i + 96 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001000100100110 - 101?\nAnswer: -1110001000100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*y - 200*y - 2128 = -84*y for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21088.3686872 from -13.\nAnswer: -21101.3686872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 12*l**2 + 11*l - 8. Suppose 52 = 3*u - 7*u. Let a(w) = -4*w + 7. What is the remainder when a(-11) is divided by b(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:35 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/16)\/((-1)\/2). Let w = -0.3 + 0.2. Let k = 0.1 + w. Which is the second biggest value? (a) s (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/30)\/(((-28)\/30)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 5 - 3*r - 4*r + 7*r - 29.\nAnswer: -r - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c**2 + 42*c**2 + 116727 - 116727.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 33*k - 31. Let d(f) = f**2 + 3*f. Let v(l) = b(l) - d(l). What is v(37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 5*b**2 - b - 3. Let n be t(-5). Let f(q) = -7*q**n - q + 3 - 3. Let d be (4\/(-4))\/(1 - 0). Give f(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 + 54*m - 16. What is the remainder when 248 is divided by b(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22461395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215)\/(-140)*2 - 20\/8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4898231 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*c**3 - 55*c**3 + 198*c**2 + 11*c**3 wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 15*y**2 + 12. Let t be m(-15). Factor 23*d + t + 11*d + 2*d + 18*d**3 + 3*d**4 + 39*d**2.\nAnswer: 3*(d + 1)**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7155959 millennia in decades?\nAnswer: 71.55959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 727.0435km?\nAnswer: 727043500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80\/41 - -935\/164. What is the smallest value in -0.3, -2\/5, -4, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 4376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 595 * 123146.\nAnswer: 73271870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202219 or 26?\nAnswer: -202219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 18*n**2 - 29*n - 12. Let v(s) = s**3 + 6*s**2 - 10*s - 4. Let g(f) = -4*j(f) + 11*v(f). What are the prime factors of g(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 - 1212*d**3 - 8003*d**2.\nAnswer: 120*d**2 - 7272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9*u + 71 = -14*u, -u = 3*h - 98. Suppose 36*a - h*a = 714. Calculate the remainder when a is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -80, -1089, -3 in descending order.\nAnswer: 3\/4, -3, -80, -1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2272 and 59872?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.91 + -0.09. Let z = 1 + t. Let v = 14.5 + -15. Which is the second smallest value? (a) -0.4 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1348061*w**2 - 1605399 wrt w?\nAnswer: 2696122*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104\/357 - -2\/357. What is the common denominator of -79\/4 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 5*h + 1 + 6*h)*(-h - h - h).\nAnswer: -18*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1521 = -75*l - 729. Which is greater: -326\/11 or l?\nAnswer: -326\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4262, 4226, 4260, 4400, 4682, 5142?\nAnswer: 5816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -393699 and -393692 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**2 + 4*p - 4. Let f(a) = -a**2 - 2*a - 1. Let w be f(-3). Let v be 23\/7 + 6\/(-21). Let q(k) = 5*k**2 + 3*k - 3. What is v*y(i) + w*q(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:22 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4.7. Sort c, -10, -0.5 in descending order.\nAnswer: c, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14979?\nAnswer: 3, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0407 and -4.\nAnswer: 0.1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43*-11.020044.\nAnswer: 4.73861892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) + 274\/6. Let x = 118 + v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((60\/6)\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 258715+3.121489\nAnswer: 258718.121489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v - 10 = 0. Let i = v + -5. Let r = 0 - -0.1. Is i bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 155. Let k be z(0). What are the prime factors of 6*k\/10 - -4?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - -24) + 4 - 12. Solve 10 = 2*i - t*z, 3*i - 5*z = 339 - 324 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0\/(-3) + -3. Let a = n - -3. Put -0.1, 3, a in ascending order.\nAnswer: a, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1295238.68 to the nearest 10000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:21 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 15*i - 132. Solve -i = 5*f + f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**0*j)\/j**(-10))\/(j**(-2\/19))**(-2\/23))**(-46) assuming j is positive.\nAnswer: j**(-11354\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1339\/3 - 379. Let x = v + -677\/9. Calculate the common denominator of x and 59\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 + 2*t**4 - 4*t**4)*(-1 - 1 + 4).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12) + ((-150)\/(-252))\/(-5). Which is the closest to 1\/2? (a) w (b) -0.2 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*k + 19, -5*q + k + 4 + 13 = 0. Suppose q*g + 38 = -4*p, -26 + 4 = 2*g + 2*p. Is (2*5)\/(g\/(-33)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l + 250. What is i(20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10676*y**4 + 8117 with respect to y.\nAnswer: -42704*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 0*u + 18 = -7*s - 2*u, 0 = -5*s - 184*u + 87*u + 96*u - 37 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57528 and 3198303.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -203\/491?\nAnswer: -203\/491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*y**2 - 405*y**2 + 226*y**2.\nAnswer: -435*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**3\/5 - 39*w**2\/5 - 129*w\/5 - 54\/5.\nAnswer: 3*(w - 9)*(w + 2)*(2*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 3*k + 2*k + (-1 - 3 + 3)*(-k + 2*k + 0*k) + 2 - 2 + 2*k + 542 - 32*k - 542.\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -3 (b) -2\/7 (c) 3\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288753*j**6 + 0 + 0 - 288754*j**6 - 3677*j**2 - 93*j**3 + j**4 wrt j.\nAnswer: -120*j**3 + 24*j - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1277*b**2*d - 3*b*d + 3*b - 8*d wrt b?\nAnswer: -2554*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -159*v - 1787. Let l(x) = 2*x. Calculate l(g(z)).\nAnswer: -318*z - 3574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.46 + -0.35. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0707 and 0.05114184.\nAnswer: -0.01955816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -14*a + 114. Let v(g) be the third derivative of -g**5\/60 + 3*g**4\/8 - 5*g**3\/6 - g**2. Let w be v(a). Put 5, 4, w in decreasing order.\nAnswer: 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let l be 105\/45*12\/14. Let j(n) = -n**2 + 7*n - 2. Let g be j(6). Suppose g*w - 3 = w. Let v(y) = -3*y - 3. What is l*a(d) + w*v(d)?\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 1 + j**2 + 2*j - 4*j. Let q be z(-2). Let s = -269 - -267. Put 3, q, s in ascending order.\nAnswer: s, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-67238)\/916*(-1)\/(-6). Let q = 80\/229 - c. What is the common denominator of q and 44\/7*(-203)\/261?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 2334.\nAnswer: 41\/2334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19 - -6.81. Let g = -8 + t. Sort 0.2, -4, g.\nAnswer: -4, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.046 at most as big as -2\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 5*v - 15, -2*k + 2*v - 6 = -7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 134?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357318 and 1296?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41334546 rounded to four dps?\nAnswer: -0.4133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, -0.5, -16, 2.5 in decreasing order.\nAnswer: 2.5, 0.3, -0.5, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/21 (b) -2\/3 (c) -6\/23 (d) -2607 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*b**4 + 12\/5*b**3 + 42\/5*b - 37\/5*b**2 - 16\/5.\nAnswer: -(b - 8)*(b - 2)*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (-3 + 1 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 265458 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5159*c + 2369*c - 2063*c - 2141*c)*(-2 + 2 - 1) to w*c + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2197636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 3. Let r(v) = -7*v**2 + 4*v + 1. Let w(a) = 7*a**2 - 3*a - 2. Let x(o) = -3*r(o) - 4*w(o). What is 5*q(p) - 3*x(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2620 - -2634. Let n = -3.1 - 0.9. Which is the biggest value? (a) n (b) j (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158 and 1975.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*f - 2*f + 2*b, -5*f + 4*b = -36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 7*k + 2. Let a be (-14 - -17)\/((-4)\/((-8)\/3)). Suppose 5*o = -a*z + 24, 5*o + 0 = -3*z + 31. Calculate w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/90 - z**4\/54 - 10*z**3\/27 - 8*z**2\/9 + 67*z + 1. Factor w(q).\nAnswer: 2*(q - 4)*(q + 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578682 is divided by 192779?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:49 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481187 is divided by 231.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 27. Suppose -4*m + d - 7 = 0. Solve -4 + m = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -a - 20, 4*a - 20 = -0*a - 4*v. Let n(o) = -o + 2*o + a*o + o. Let t(p) = -3*p**2 - 7*p**2 + 3*p**2 + 0*p**2. Determine t(n(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-4))\/(219\/876).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262915346 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/3 - 54*g**4 - 2162*g**3\/3 - 2178*g**2 + 720*g + 2232 = 0. Calculate g.\nAnswer: -6, -1, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314842643*j**3 - 267266898*j**2 wrt j?\nAnswer: -1889055858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*v + 5 - 13 = 0, 2*c - 2*v = 8. Let x(d) be the second derivative of -3*d**2 - 7\/6*d**4 - 4*d - 17\/6*d**3 + c - 3\/20*d**5. Factor x(r).\nAnswer: -(r + 1)*(r + 3)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuj when three letters picked without replacement from jjuujjjjjjujjjjujju.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*n**3 + 31*n**2 - 6*n.\nAnswer: -n*(n - 2)*(14*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 682 or 0.246?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 5. Let q(j) = -4*j - 6. Give -4*g(m) + 3*q(m).\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1. Let l(g) = -11*g - 24*g + 41*g + 12. Calculate -12*h(m) - l(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r = -32*r - 2*p + 17, -5*p + 14 = 3*r. Solve 14 = -2*j - 2*c, 2*j + 11 = -r*c - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u - 7 + 0*u**4 - 3\/4*u**5 - 17*u**2 + 0*u**3. Differentiate i(c) with respect to c.\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/30 - f**4\/8 - f**2. Find the second derivative of p(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13261 + 8*v + 26638 - 13377.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1181466 and 9945?\nAnswer: 5907330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 100 - -2?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 7. Let h be k(-5). Suppose 0 = -j + 4 - h. Let z = 243 - 246. Sort 0, j, z in ascending order.\nAnswer: z, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**4\/12 + v**3\/3 - 5*v**2\/2 - 4*v. Let r(l) = -2*l**2 + 4*l - 9. Calculate 6*r(w) - 11*y(w).\nAnswer: -w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 59 - 59 - 17*w. Let r(i) = -2*i. Give r(m(y)).\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 + a**2 + 48 + (3*a - 6*a + a)*(0*a + a - 2*a) - 4*a**2 + a**2 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r**2 - 8*r + 9. Let a(q) be the third derivative of 1\/24*q**4 + 2*q**2 - 1\/6*q**3 + 0 - 1\/60*q**5 + 0*q. What is -18*a(n) - 2*f(n)?\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-56)\/(-24)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 + 7 - (0 + (-10 - 1)). Suppose -12*j + g = -3*j. Calculate the common denominator of (j - -41)*-3*(-2)\/(-81) and -19\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 44, -2\/39, -12, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, h: 2, j: 1, w: 4}. Give prob of picking 1 r and 2 w.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/(33\/22)*(-68320)\/560.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33174148 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52129513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 12. What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**4 + 1624*n - 7281 wrt n?\nAnswer: -8*n**3 + 1624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 464.\nAnswer: 464.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let c(z) = z - 3*z**2 - 2*z + z. Determine y(c(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {i: 7, a: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -224*f - 23242. Calculate n(-96).\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(3\/((-18)\/8)). Let b be 5 + (c\/1 - 6). Solve 4*w - 6 = b*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i*n - 8*i + 2553145*n + 1162808 wrt n?\nAnswer: 3*i + 2553145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 55 = -2*h, -7 = -2*s + 3. What is the highest common factor of 120 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*f - 35*f**3 - f + 32*f**3 + 3*f**4 to w*f**3 + u + b*f + t*f**2 + k*f**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -171 + 2\/3*6. What is j rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*a - 6. Let p(z) = -47498*z - 8. Let s be p(a). Suppose 0*x + 190016 = 2*r - 4*x, -s = -3*r - 5*x. What is r rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1634307606 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + c - 3. Let t(m) = 2*m + 2729. Determine -r(d) + t(d).\nAnswer: d**2 + d + 2732","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 16 + 17 + 3*b**3 + 206*b.\nAnswer: 2*b**3 + 206*b + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s - 145. Let i be r(16). Sort 4, i, 3, 2, 493 in ascending order.\nAnswer: i, 2, 3, 4, 493","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 15, 8, -19, -72, -157?\n\"Answer: -f**3 - f**2 + 17*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 - 2. Let o(l) be the first derivative of -l**2\/2 - 167. Calculate o(f(q)).\nAnswer: -5*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 155 - 19 - (-13 - -8 - -16)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*(sqrt(204)*2 - sqrt(204)))\/sqrt(12) + -2).\nAnswer: -30*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 16 = -5*u, 4*a + 13*u - 9*u = 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 99\/19 (c) 2\/15 (d) -0.1 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -54, -3, -2, 23 in descending order.\nAnswer: 131, 23, -2, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f. Let a = -2 - 0. Let h be z(a). Let u(s) = s**3 + 2. Let j(t) = -1 + 7 - 2 - 5. Calculate h*j(n) - 3*u(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 8 - -8) + -1 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4833 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 14*j**2 + 2. Let a(t) = 71*t**2 + 11. Give 4*a(o) - 22*v(o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/32*(-2)\/(-6)*8\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.45266 + 215.69.\nAnswer: 217.14266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 = -4*a - p + 379 - 711, 0 = -2*a - 14*p + 370 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 53559?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1070369?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 2}. Give prob of picking 1 v and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -274*d**2 + 3013*d + 27. Determine v(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -810+-0.11\nAnswer: -810.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156630357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-4))\/(y**(-6)\/y*y))**(-2\/65)*(y**(-2\/3))**(-6\/17)*y\/(y**5*y)*y*y\/(y*y\/(y\/(y\/(y\/(y\/(y**(-2)\/y)))*y))*y)*y assuming y is positive.\nAnswer: y**(-9787\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*r = -4*g - 265*r + 172, -2*g - 5*r = -42 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2921 divided by -5.\nAnswer: 2921\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106131527.\nAnswer: 3, 43, 2858221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 4:12 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 6466404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3481 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 less than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7924085803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-31275)\/(-73 + -344) + 5*-1*1\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r - 1. Let w(o) = 6*o**2 + 7*o + 7. Let q(t) = 21*a(t) + 3*w(t). Let z(c) = -c. Determine q(z(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-2)\/(-8)). Let y = h + 1. Suppose -2 = -x + g - y, 5*x - 4*g = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 4) to base 13\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 1:19 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (109 - 102)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/7 + 81*q\/7 - 584\/7 = 0.\nAnswer: 8, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**2 + 2*b**2 + 6*b**2 + 55*b**3 + 12*b**2.\nAnswer: 5*b**2*(11*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7837661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-30 + 7*(-340)\/(-140)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1958 divide 593181974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*y**2 + 102469*y + 15*y**2 - 3 - 102441*y as c*y**2 + n*y + i and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3764047 and 4144.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 43?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 804618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2969, 2758, 2415, 1946, 1357, 654?\n\"Answer: x**3 - 72*x**2 - 2*x + 3042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25*36014\nAnswer: 900350","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -3 - -24 - (7 + -58 - 7)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/((-200)\/(-6)))\/(-1 - (-56)\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -117. Solve -2*w + i*w = 2*r - 1, 4 = -2*w + 2*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 8*t + 4. Suppose -y - 4*y + n = 485, -4*n = 0. Let q = y - -107. Calculate the least common multiple of p(6) and q.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 2*t**4 - 3*t**4)*(-5*t + t + 2*t) - 5*t**5 + 32*t**4 - 32*t**4.\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.23, -0.87, -2\/7 in descending order.\nAnswer: -2\/7, -0.87, -4.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y + 1. Let c(s) = 4*s**2 + 3*s - 3. Let m = 173 + -169. Determine m*c(i) + 12*u(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/55 + -214\/165. Let y = -10.9 + 11. Which is the closest to -1\/4? (a) y (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 28. Let j be t(-12). Let h(q) = q**3 + 37*q**2 - 15*q - 551. Let w be h(-37). Solve 2*n = j, 0 = 5*f - w*f + 5*n - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3081 and 45.\nAnswer: -3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + (-44 - -20) - 21. Is -7 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from eddddeeeeedddeddeede?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 5. Give l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094118743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from ltlzllilizllllllztll?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) + 1*1*sqrt(495) + sqrt(495) - 1*sqrt(495)*1)\/((sqrt(66)*-2*-3)\/(sqrt(6) - (sqrt(6) - (sqrt(24) - sqrt(600))))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/2 - 813*a**3\/2 - 177165*a**2\/2 - 8640351*a\/2 = 0. Calculate a.\nAnswer: -93, 0, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4 - 1239764*n**3 - 256168302768*n**2 - 17643506460405696*n + 35288037603940608 = 0. Calculate n.\nAnswer: -206628, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.03423179 to three decimal places.\nAnswer: 11.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.5, 14, -0.3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Let c = 1331 + -1327. Solve -2*d - 16 = -5*h, -i*h = c*d - 0*h + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 7523?\nAnswer: 7526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964338625.\nAnswer: 3, 5, 7904903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Let v = n + 1. Which is the smallest value? (a) -4 (b) -1\/8 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Let u = 33063 + -99170\/3. Let h(w) be the first derivative of 23 + u*w**3 + 0*w**2 + 0*w. What is q(h(j))?\nAnswer: 38*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**0*l)\/l))**(17\/6)\/(l*l*l**6*l*l**(-5\/3))*l**(1\/5)*l\/(l*l*l**(-3))*(l**(5\/2)*l*l*l*l)\/(l*l\/(l*(l\/(l**(1\/7)\/l))\/l)*l*l) assuming l is positive.\nAnswer: l**(72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2013*m**2 + 11*m - 23. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 2481 = 31*v - 5337 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*c + 32, q - 2*q + 23 = 4*c. Suppose -q*a - 5*f + 6*f = 26, -4*a - 3*f = 52. Is 1639 - 5\/a*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 2*z - 2. Let a be x(-4). Solve -a*f + 8 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.464 + -2.464. Let f = 1 - 2\/3. Which is the nearest to f? (a) 1\/5 (b) i (c) -4 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2711*b**2 - 193*b + 1061. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 u when four letters picked without replacement from pdappppddu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 25*r + 5. Let y = 2 + 2. Let d be s(y). Calculate the greatest common divisor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17703 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6855, 6045, 5235, 4425?\n\"Answer: -810*r + 7665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 68 + 54. What is the nearest to n in 0.5, -1\/3, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - (-14)\/8. Let k(o) = 3*o**3 - 2*o**2 - o + 1. Let c(j) = -j**3 - 15*j**2 - 16*j + 15. What is the remainder when c(-14) is divided by k(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410571 (base 8) in base 6?\nAnswer: 22050441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 124*a**3 - 26 - 125*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*u - 20, 305*u - 308*u - 7 = -p - 13 + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssz when four letters picked without replacement from {l: 1, s: 4, z: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 3 + 0)*(2*t - 2*t + 2*t) + (t + 3 - 3)*(3 + 3 - 5) + 2*t + 3*t - t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.5 + -8. Let n = -7.6 - w. Let u = n + 6. Sort u, -0.3, 4 in ascending order.\nAnswer: -0.3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s)**(-20)*s\/(s*s**(-2\/33))*s*s*s\/(s*(s\/s**(-2\/9))\/s)*s*s*s assuming s is positive.\nAnswer: s**(8399\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/10 + p**4\/2 - 2*p**3\/3 + 8*p. Let f(x) = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.4 > -1505146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 136\/44 + (-23)\/253. Solve 10 = -3*d + 7*y - 3*y, -l*d - 2 = -2*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 336190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*r - 3653 = 20*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -695 - -697. Which is the smallest value? (a) 11 (b) 1\/2 (c) k (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p, -8*p + 11*p = r - 9. Let s(f) = -1. Let u(t) = t - 1. Determine r*s(w) - 3*u(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 6*g + 3*g)*(18*g + 35*g + 13*g)*(-4*g + 0*g + 3*g).\nAnswer: 528*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (-56 - -53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by (-60)\/70*16\/(-24)*112?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5790239*d**5 - 8*d**3 + 4*d - 60977753 wrt d?\nAnswer: -115804780*d**3 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/44 + (-16)\/572. What is the smallest value in k, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (84\/2)\/(6\/4). Suppose 0 = -y + 4*u + 14, -4*y = -2*y + u - g. Let w = y + -13. Solve 0 = 5*s + 6 - w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256675 by -51335.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 4708. Let h(l) = l**3 + 2356. Calculate -5*b(c) - 11*h(c).\nAnswer: -c**3 - 2376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -19*m - 10*m - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/9841 or -1?\nAnswer: -22\/9841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v - 9. Let s(b) = -2*b - 2. Let o = -57 + 52. Let i(n) = o*f(n) + 24*s(n). Let q be i(-3). Solve -2*u = 3*p - 2, -22 = -2*p + 4*u + q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + (12 - 45))\/(6*2\/12).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3)*d*d**8*d*d)\/(((d*(d*(d**(-1)*d*d*d)\/d*d)\/d*d)\/d)\/((d**1\/d)\/d)) assuming d is positive.\nAnswer: d**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2039, 8068, 18101, 32132, 50155, 72164, 98153?\n\"Answer: -a**3 + 2008*a**2 + 12*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/45 + (-85)\/51?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o - 5. Let x(b) = b**3 - 4*b**2 - 5*b + 9. Calculate the remainder when p(5) is divided by x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 38454?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Let b(s) = -30*s + 7. Let w(u) = -10*u + 2. Let r(k) = -2*b(k) + 7*w(k). Give r(h(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 9*h - 14. Let t be c(6). Suppose -2*y - 4*i + 18 = 0, 0*y + t*i + 3 = 5*y. Solve -2*s + y*s = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6842556.\nAnswer: 2, 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 13) to base 9\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2783 smaller than -2779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 7:51 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 + 908 = 555*u - 2968 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*h - 24 - 10, -2*h = -10. Factor 3*l**2 - 8*l**2 - v*l - 3*l**4 - 4 + 1 - 12*l**3 - 13*l**2.\nAnswer: -3*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/(h\/((h\/((((h\/(h\/(h\/h**(-1\/6)))*h)\/h)\/h)\/h)*h)\/h)))**(-12\/7) assuming h is positive.\nAnswer: h**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/7 in 14, 51, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-31395))\/((1\/(-6))\/((-154)\/(-132))).\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let m(f) be the first derivative of -1\/3*f**3 + 0*f + 0*f**2 + 2 + 0*f**4 + i*f**5 - 1\/6*f**6. What is the third derivative of m(n) wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -31*j - 258. Let n(d) be the third derivative of d**4\/4 - 4*d**2. Calculate the lowest common multiple of f(-9) and n(5).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 8:24 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -55. Differentiate n + 124*k**3 - 17 - 142*k**3 with respect to k.\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235365560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165556.\nAnswer: 2, 7, 41627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 165, 89.\nAnswer: -5, -4, 89, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/15*9\/(-8)*2992\/(-561)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 4) to base 16.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + 3*q + (0 - 1 - 1)*(0*q - 3*q + 2*q) + 4 - q - 4 + 4 - 13*q - 4 + (-2 + 5 - 5)*(-3 - 1 + 1)*(-1 + 1 + 2*q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + -0.6. Let v = -2\/129 - -58\/43. What is the closest to -0.1 in h, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = m. Let t = -0.115 + 0.015. What is the closest to m in 4\/5, 5, t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 834 and -0.01804.\nAnswer: -15.04536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(3 + -6*3*sqrt(1377)) + 3))**2.\nAnswer: -93312*sqrt(17) + 64245888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5095913, -5095822, -5095731, -5095640, -5095549, -5095458?\nAnswer: -5095367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2. Let v(j) be the first derivative of 0*j**2 - 10\/3*j**3 + 0*j + 6. Determine v(u(x)).\nAnswer: -40*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*o = 19, -5 - 2 = 2*v + o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4*42\/48*(-1)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*k - 2*h, -2*k + 3*h - 2 = 16. Let s = -4 - k. What is the units digit of (15\/9)\/(s\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Let n be (-387)\/(-81) + 2\/9. Let q(w) = -4*w + n*w + 6*w. Calculate q(t(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.56 - -5.34. Let n = 0.9 - q. Let u(o) = o**2 + o - 5848. Let w be u(76). Which is the closest to 1\/4? (a) n (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d**3 - 5*d + 2. Let c(r) = 12*r**3 - 6*r + 1. Determine -5*c(i) + 6*x(i).\nAnswer: 6*i**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = -55. Suppose 6*u - s*u = -5. Let y(i) = 4*i**2 + 3*i - 7*i**3 - 2*i - 5*i**2. Give y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 22*j**3 - 11*j**3 + 2*j**3 - 2*j**2 + 2*j**2 + (-12 + 10*j + 12)*(-4*j**2 + 4*j**2 - 2*j**2) - 1 + 1 - j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z = 21877609 - 21876259 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9355*i*k**3*p*w - 112*i*k**2*p - 10*i*k - 11*i*w - k**3*p*w + k**2*p*w - 2*k**2*w - 2*k**2 - k*p*w wrt k?\nAnswer: -56130*i*p*w - 6*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10558941 to the nearest integer?\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88 - (-3 + 5 + -3). Suppose 48 = v - 0*v - 2*z, -2*v - 3*z = -i. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*d + 2. What is the least common multiple of 0*1\/(-2) + 3 and (-4)\/(1 + -5) + d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 10*o - 4. Let p be n(6). Suppose -m + p = -20. Suppose m = 4*u + u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1440514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (-1 + sqrt(272)))*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 - -1) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from pnd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -120642, -120641, -120640, -120639, -120638, -120637?\n\"Answer: b - 120643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 892.43 + -866.4344. Let v = n - 26. What is v rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1652*n - 1669*n + 6646*n - 1663*n - 1660*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/10 + m**4\/24 - 283*m**2. Determine b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j**3\/13 + 228418*j**2\/13 + 83866168*j + 2403555778.\nAnswer: 2*(j + 9503)**2*(6*j + 173)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/7*(-95)\/1520*(-2)\/3?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -763667 (base 8) in base 11?\nAnswer: -165311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2156)*5 - sqrt(2156)*1*-4)\/(sqrt(16) + (sqrt(80) + sqrt(80)*-2)\/sqrt(5) + sqrt(144) + -2*sqrt(144)).\nAnswer: 7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38191275*u + 38191275*u + 2 + 2653*u**2 to the form m + z*u + r*u**2 and give r.\nAnswer: 2653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27140\/(-1888) - 12\/(-32)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n**2*r**3 - n*r**3*v + 19*n*r*v - r**3*v + 3*r + 2*v - 1631 with respect to n.\nAnswer: 10*n*r**3 - r**3*v + 19*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 85 = 95*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/sqrt(144) - sqrt(3)) + sqrt(6)\/sqrt(18))**2 - ((sqrt(198)*-2)\/sqrt(6) - sqrt(33))\/sqrt(11).\nAnswer: 25\/48 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/17, -4, 11, 922?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116964*n**2\/7 + 134064*n + 268912.\nAnswer: 4*(171*n + 686)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, y: 2}. Give prob of picking 1 y and 1 a.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c + 16. Let i(l) = -35*l**2. Give y(i(d)).\nAnswer: -175*d**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iddd when four letters picked without replacement from dgidgdd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-121 - (-37 + -118)) + -12*11\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*h = -1790, -64*h + 2974 = 5*z - 63*h. What is the remainder when z is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56504 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40936, 81872, 122808, 163744, 204680?\nAnswer: 245616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7984, 921, -6142, -13205?\n\"Answer: -7063*z + 15047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 75 = -3*q - 2*n, -4*q - 2*n = -100. Suppose 3*s + q = 4. Let z(u) = -u**2 - 6*u + 8. Let o be z(s). Put o, 2\/7, -1 in decreasing order.\nAnswer: o, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 12. Let z(c) = 7*c + 131. Let m(h) = 6*y(h) + 2*z(h). Let w(o) = -o - 76. Calculate 5*m(b) + 12*w(b).\nAnswer: -2*b + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p + 8. Let q be y(2). Let c(h) = h**3 - 15*h**2 - 11*h - 10. What is the tens digit of c(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.477 times 21400\nAnswer: 31607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/((-72)\/(-27))*(-1)\/(-1). What is the fourth biggest value in -0.1, -0.2, 2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a millennium in years?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18029 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 16875*y**2 - 33741*y + 16869.\nAnswer: -3*(y - 5623)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 200.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 88463 + 176973 - 88510.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 130*q - 435.\nAnswer: 5*(q - 29)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:14 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 - (-1 + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.5. Let m = 28.01 - 25.4. Let q = m + 1.39. Sort 0.1, g, -3, q in ascending order.\nAnswer: -3, 0.1, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112229379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 467459 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22282609.\nAnswer: 569, 39161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88368680.\nAnswer: 2, 5, 2209217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 436148 + -111866. Let l = f + -166282. Round l to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167397060?\nAnswer: 2, 3, 5, 2789951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 736 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -18*s**3 - 5*s**2 - 3*s + 9. Let l be v(-5). Is 62 a factor of 54\/216*(l + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 18*f**2 + f - 10. Let a be v(17). Let x = 457 - a. Suppose g + 34 - x = 0. List the prime factors of g.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 35 = 3*k. Solve k*r - 3*l = -24, 0 = r + 2*l - l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332 and 1660?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reezryzzzyzzzzyrzr. Give prob of picking 2 z.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -484780\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -59\/6*w**3 + 0 + 35*w**2 + 52*w. What is the first derivative of a(z) wrt z?\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.254+157\nAnswer: 155.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0 - 3\/2*a**4 - 1\/6*a**3 - 23\/30*a**6 + 32*a + 0*a**2 + 0*a**5. What is the third derivative of v(t) wrt t?\nAnswer: -552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.104688 and -58.52058.\nAnswer: -58.415892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*t + 108, v - 2*t - t - 22 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.012 - 0.318. Let v = f + -6.67. Let s = 7.000312 + v. Round s to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45853 divided by 12867?\nAnswer: 45853\/12867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864, 3373, 7428, 12927, 19768?\nAnswer: 27849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 5*f)*(-2 - 2 + 5) + 15 + 4*f - 15.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (2*sqrt(84) - sqrt(84))) + sqrt(84))*-3)\/(2*sqrt(192) - sqrt(12))*-5.\nAnswer: 15*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 7\/3, 19, 1, -4, -1\/9 in decreasing order.\nAnswer: 19, 7\/3, 1, -1\/9, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20320302 (base 4) to base 16\nAnswer: 8e32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67728.57 litres in millilitres?\nAnswer: 67728570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004203832 to six decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 8*n**2 + 2*n + 9. Let i be z(-8). Let q = 3 + i. Does q = -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1143*r + 8. Let d(h) = -1031000*h + 7217. Give -7217*b(x) + 8*d(x).\nAnswer: 1031*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-57)\/9*-3 + -7. Suppose -k*y = -16*y + 20. Sort y, -5, -68, 0 in descending order.\nAnswer: y, 0, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 2 + 4 + (-4 - (7 + -12)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r + 936 = b, 0 = r. Suppose -4*k + b = 324. What is the greatest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8159.394 nanograms in milligrams?\nAnswer: 0.008159394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 2311011?\nAnswer: 2311011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/(-16))\/((-25)\/(-20)). What is the units digit of 415*12\/(-15)*b*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-8\/3))\/y))**26 assuming y is positive.\nAnswer: y**(286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04672805195 rounded to 4 dps?\nAnswer: -0.0467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 13*l + 64. Which is the closest to 2\/3? (a) 0.3 (b) 59 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3 + 3*j**2\/2 - 2*j + 3612. Let b(c) = 7*c - 4. Let w(q) = -q + 4. Let p be w(0). What is p*x(d) + 3*b(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 2597.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217762.\nAnswer: 2, 108881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f + 0*f - 15*f + 0*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4630 + 4631. Solve -t - a = 3*x + 7, -3 = 3*t + 2*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2 + 20. Is y at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 2. Let g be n(-5). Suppose -g*c + 16 = c. Suppose 0 = -c*v - v + 40. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9821125km?\nAnswer: 982112500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 7*h + 9. Let f be j(-9). Let u(l) = l**2 + 9*l + 4. What is the remainder when 13 is divided by u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4726566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -611*n. Let f(b) = 224768*b**2. Calculate f(u(t)).\nAnswer: 83910614528*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*u**3 + 312*u**3 - 244*u**2 - 56*u**4 + 4*u**5 + 144*u - 92*u**2.\nAnswer: 4*u*(u - 6)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12354 - 6164. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -73744.169 rounded to the nearest 100?\nAnswer: -73700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 229*326\nAnswer: 74654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -5\/7, 3, 0.3, 1 in decreasing order.\nAnswer: 110, 3, 1, 0.3, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68610*t**6 + 9545*t**4 + 1007226089*t**2 wrt t.\nAnswer: -8233200*t**3 + 229080*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/10 - 2*b**5\/3 + 3*b**4\/2 - 4*b**3\/3 + b**2 - 18. Solve o(y) = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/5 - 34238487*y**2\/5 + 68476977*y\/5 - 34238489\/5 = 0. What is y?\nAnswer: -34238489, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -310251 minus 1?\nAnswer: -310252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205 and 280?\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**2 - 13*b + 24. Let q be v(2). Suppose -5*i + 40 = 4*g, -14*i - 2*g = -10*i - q. Solve 0 = -f + i*o - 5, 0 = 4*f - 2*o + 6 - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -216*f**3 + 9*f**4 + 216*f**3 + (0*f**3 + 2*f**3 - 4*f**3)*(-3 - f + 3) + (5 - f**2 - 5)*(0*f**2 - 5*f**2 + 3*f**2) + 4*f**4 - 3*f**4 + f**4.\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*n + 59*n + 12*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 + 193. Factor 10\/7*n**4 + 8\/7*n**3 + 0 + 4\/7*n**5 + 2\/7*n**r + 0*n.\nAnswer: 2*n**2*(n + 1)**2*(2*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 48 = 3*l - 0*t, -3*l - 4*t = -20. Solve -4*p = -b - 7*p - l, 10 = -5*b - 5*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8711*r**5*t**2 - 3*r**2*t**2 + 2*r**2*t + 7*t + 21 wrt r.\nAnswer: 522660*r**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/16 and 29\/44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/10 + (-676)\/(-20) is divided by (-20)\/(-8)*4 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4018038 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.195 * -557470.\nAnswer: -108706.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = 8*b - 15523. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12\/883, -12, -0.5, -999?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 0. What is the common denominator of -61\/9 and (s\/(-30) - -1) + -2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -347 * -2.6.\nAnswer: 902.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7068\/190)\/(-31)*(560\/12)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 14*r + 45 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, 5\/34, -2, 10, 0.13 in descending order.\nAnswer: 10, 5, 5\/34, 0.13, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186732868.\nAnswer: 2, 7, 401, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/99 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68265.\nAnswer: 3, 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnllnlnnnnlnnn. What is prob of sequence nnln?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 1 = -2*a. Let n be (-4)\/(-18) + 4\/a. Suppose n = 3*s + k - 11, 2*k + 1 = -1. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g**2 + 2*g + 5. Let l be y(5). Let q = l + -225. Calculate the greatest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -31?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/9, 1, -0.09, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -43*v**3 - 5*v**2 + 42*v**3 - 5 + v + 2. Suppose 4*i - f + 0*f = -15, -2*f = -4*i - 10. Calculate m(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*w**3*y**3 + 60*w**3*y + 3*w*y + 2011*y**4 - 5*y wrt y?\nAnswer: 48*w**3*y + 24132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**8\/48 + t**7\/30 + 9*t**4\/8 - 16*t**2. What is the second derivative of f(j) wrt j?\nAnswer: 140*j**3 + 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395874.3 kilograms in grams?\nAnswer: 395874300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 299220252 + 2?\nAnswer: 299220254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.898323465 to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/(5*sqrt(24)\/sqrt(4)) - 3*((sqrt(30)\/sqrt(3) - sqrt(10))\/sqrt(5) - (sqrt(4)\/sqrt(2) + 2)**2).\nAnswer: 18 + 64*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287831707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiii when four letters picked without replacement from {k: 1, i: 8, w: 2, j: 1, e: 8}?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -311, -297, -265, -209?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 + 490*g**4 - 2877*g**3 - 13064*g**2 - 1972*g + 17424 = 0. What is g?\nAnswer: -2, 1, 9, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**0)))**(1\/26)\/(y**1)**(-2\/5) assuming y is positive.\nAnswer: y**(57\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57.012 - -52.1. Let s = -5 - f. Let p = s + 0.0879902. What is p rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose -4 + 14 = -4*y - 5*l, z*y + 6 = -3*l. Let x be (6 - (2 + 5\/5)) + 2. Which is the nearest to 0.1? (a) -2 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - t = 99 + 346, 3*d - 245 = 5*t. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**6\/6 - 35*b**4\/12 - 5*b**3 + 8*b + 7. Let v(m) be the first derivative of o(m). Solve v(y) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5*p - 3 = 0, 26*s = 22*s + 5*p - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4 - 2\/(-8). Let y be o + (23700003\/3)\/(-1). What is y rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let z(k) = -57*k**2 - 20*k. Determine q(z(n)).\nAnswer: 57*n**2 + 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365 by -4.\nAnswer: 365\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 71362517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -85, -149, -233, -343, -485, -665, -889?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34461792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-8))\/((-1)\/4). Let l = -4 - j. Which is the closest to l? (a) -0.4 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616968*x + 5382*x + 32779*x.\nAnswer: 655129*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -24*c. Let u(f) = -574*f. Calculate l(u(s)).\nAnswer: 13776*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 3. Let n(j) = -j + 3. Calculate -3*n(h) + 2*t(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2573923609 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001566 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*v - 2*v**2 - 2*v**3 + 0*v**2 + 2*v**2.\nAnswer: -2*v**3 - 401*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 27205 = -4*g - 79599, 2*n + g - 34955 = 0. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35285175 - 35292141 = -81*c for c.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 1389, 3121, 5545, 8661?\nAnswer: 12469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from xxqnxqnznaqwznn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 21812628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 409642.3 millennia?\nAnswer: 40964230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618683709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g. Let c(v) = 10610*v + 2. Give x(c(n)).\nAnswer: 95490*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oco when three letters picked without replacement from ooooooococoooooooooo.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6224890 less than 2536?\nAnswer: -6222354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 12 - 33)*(-2*l - l + 5*l + (-l - 7*l + 5*l)*(-5 + 5 + 2)) + l + 1 - 1.\nAnswer: 225*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/3)\/((85\/51)\/(-5)) + -1039. Which is smaller: -1034 or n?\nAnswer: -1034","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 755 - 41*o**3 + 739 + 785*o - 1494 wrt o.\nAnswer: -246*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*s + 32, 0 = t + 3*t + 3*s - 76. Suppose 7 = 2*y + 5*f, 14 + 24 = 3*y + 2*f. Calculate the greatest common divisor of y and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-15)*80\/24. Let r be 363\/(-6) - (-1)\/2. List the prime factors of a - (r + 3) - 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5471286006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20402 = 5*f + 5*a - 7*a, -2*f = a - 8168. What are the prime factors of f?\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhihhhhhhhhi. What is prob of sequence hhh?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a = 10*a - 320. Put -3, a, -5, 0 in increasing order.\nAnswer: a, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -319 + 641\/2. What is m in x*m**2 - 3*m - 9\/2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 18*q - 12. Which is the closest to 0.1? (a) -23 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364195 is divided by 120936?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*d + 2*p, -d + 5*d = -4*p + 24. Let b(w) = -2*w - 4. Let n(i) = -i + 1. Calculate d*b(h) + 4*n(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k**2 + 47*k + 55. Let m(s) = -6*s**2 + 24*s + 27. Let c(b) = 5*m(b) - 3*v(b). Does 38 divide c(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 76\/(-19) + (108\/82 - -1). Let i = 2497\/246 - l. What is the common denominator of i and 27\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:48 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28, -97, -192, -301, -412, -513?\n\"Answer: 2*b**3 - 25*b**2 - 8*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.087 + 7.113. Let w = 765.5 - 758.2805. Let b = i - w. Round b to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1817.0564 + -0.2564. What is s rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1341 divide 59758682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1260498.8 and 312656.\nAnswer: -947842.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h - 8*h - h)*(2*h + 3*h + 23*h) - 3*h + 3*h - h**2.\nAnswer: -421*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 469490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12075 divided by -15\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6380 divided by 55\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -83\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-110))\/((-3)\/(-22))*3\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -893 - -1623. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 6 = 10*d. Let a(x) = -2*x**3 + 2*x**2 - 5*x + 3. Let y be a(d). What is the units digit of -40*(2 + y\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1109*l**3 - l**2 - 7*l + 10. Is i(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134176 is divided by 516?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149\/244 + 22\/61. Is 3.2 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3724 - 3823. Which is the nearest to 3? (a) 1\/5 (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -m + 2*g, -3*m - 23*g + 477 = -26*g. Let p = m - 136. Is p > 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x**2 + 38*x**2 - 28*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 - (-135)\/25. Let s(d) = r*d - 8*d - 13*d - 17*d. Let c(i) = i. Give c(s(q)).\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 + 40*r**2 - 175*r + 786. Calculate l(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7832968689?\nAnswer: 3, 7, 13, 353, 81281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 532.512 meters in kilometers?\nAnswer: 0.532512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1365828 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433603*q - 312 - 38 - 433604*q.\nAnswer: -q - 350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001102 + 21?\nAnswer: -11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -375.\nAnswer: 94\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*l - 4*m - 10, 4*l = -4*m + 16. Suppose -6*n = -2*n. Solve l*p - p = n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1644.22 - 0.78. Let q = 1645.001273 + c. Round q to five dps.\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34998 and 62628.\nAnswer: 1189932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*d - 50 = 0, 0*d - 4*d - 4 = 2*k. Let q be 324\/20 + 3\/(-15). What is the highest common factor of q and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*-1)\/sqrt(5).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*2*(10 + -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpcpprrpcpccrrp. What is prob of picking 1 r, 1 p, and 2 c?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**3 - 103*s**2 - 100*s + 59. What is y(-19)?\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*3 + (sqrt(136) - (sqrt(136) + 2*(sqrt(136) - (sqrt(136)*-2 - sqrt(136))))))\/((sqrt(8)*3 + sqrt(8) + sqrt(8))*-4*4).\nAnswer: 11*sqrt(17)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1036 + 2624. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 6:09 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*-1*1\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.28778 rounded to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 11743*p**2 + 8521*p**2 + 33146*p**2 + 9827*p**2 - 5*p**3.\nAnswer: -p**3 + 63237*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -859.9 - -841. Let r = -37 + 18. Let q = m - r. Which is the nearest to -1? (a) q (b) -0.02 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226940.\nAnswer: 2, 5, 7, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 5*w)*(-2 + 0 + 0) + (10*w - 2*w + 6*w)*(33 + 47 + 20).\nAnswer: 1398*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120111 (base 4) in base 8?\nAnswer: 53025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 397064321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 2*l + 1. Let f be (-1 + -3)*(-24)\/16. Let r be 6\/(f\/2)*-1. Give j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1316\/(-22231)*5 + (123\/(-33) - -4).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (41 + -16 - 24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-6))\/((-12)\/(-877491)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, f: 4, y: 4, u: 1, o: 1}. What is prob of picking 1 u, 1 y, and 1 b?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*x - 30 + 2 = 0, 5*x = -35. Put 27, -2, i, -3, 4 in descending order.\nAnswer: 27, 4, i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98762 and 65987.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*a**2 + 0)*(-105 + 13 - 75 + 15) to the form s*a**2 + u*a + m and give s.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31760 and 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -819767, -1638902, -2458035, -3277166, -4096295?\nAnswer: -4915422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a + 30. Let j = -7 - a. Let g(m) = -7*m - 1. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8555930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*l + 242*l - 29970 = -460*l for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9786*g = 174461 - 8099 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-168)\/(-16) + 3\/(-2) is divided by 0 + 2 - (-2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4) + 5 + 1 - -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -34*m. Let y(z) = 7*z**2. Give f(y(q)).\nAnswer: -238*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 10, -3*s + 6*s = -3*g. Solve 0 = -4*h - 4*w + 11 + 21, w = h - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-698)\/20*(8 + -534) - (-6)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*a + 2 + 262 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130419, 260982, 391545, 522108?\nAnswer: 652671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3303 (base 5) to base 4.\nAnswer: 13011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/14001 and -87\/74672.\nAnswer: 224016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1926070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822, 8631, 30242, 72555, 142470?\nAnswer: 246887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:34 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1095, 1096, 1097, 1098, 1099?\n\"Answer: t + 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-54)\/270)\/((-2)\/1180). Find the third derivative of -109 + 182 - 73 - 332*p**2 - c*p**3 wrt p.\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311440941?\nAnswer: 3, 7, 47, 107, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23421111.6 and -46.3?\nAnswer: 23421157.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.43818 tonnes to nanograms.\nAnswer: 42438180000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 8798*r - 30 = 8793*r, -r = 4*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 315*t - 1427*t + 729*t. Let j(f) = 4*f. Determine k(j(i)).\nAnswer: -1532*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-190)\/(-114))\/(3\/(18\/8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9092233 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h + 6. Let c = 1 + -1. Let i be k(c). Let u(p) = -1. Let m(v) = v - 3. Let f(j) = i*u(j) - 2*m(j). Let t(o) = -o. Calculate t(f(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162443768 is divided by 618.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 - 215. Let y = -43 - t. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t**5 - 426*t**4 - 222*t**3 + 976*t**2 - 312*t = 0.\nAnswer: -26, -2, 0, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-1 + (-8)\/4). Suppose -5 = -m + 2*l, 8*l = y*l - 5. Suppose -2*p + 6 = 0, -2*c + m*p + 148 = 51. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9*1)\/((-33)\/6 - -7). Solve 3*x - r = -15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -b - b + 22, -49*g + 2*b + 18 = -53*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-25))\/((-9)\/225)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11013, 22020, 33021, 44016, 55005?\n\"Answer: -3*q**2 + 11016*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 552, 1114, 1688, 2280, 2896, 3542, 4224?\n\"Answer: o**3 + 555*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, -14\/85, -0.5, 0.4, -55?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984868423.\nAnswer: 7, 11, 12790499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o - 88. Determine u(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4 + 48208164*m**3 + 193668923020905*m**2 - 48208164*m - 193668923020908 = 0.\nAnswer: -8034694, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + d**2 + 0*d**2)*(1768*d + 585*d - 588*d + 3149*d).\nAnswer: 4914*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -321186297 plus 265?\nAnswer: -321186032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 591177 - 2706411?\nAnswer: -2115234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 786571 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2675 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -12*r**2 + 46*r + 3. Let w be n(-14). Is ((-5)\/2 + 3)\/(1\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -65*h**2 + 25*h + 360. Let w be (-3 + 4)\/(11\/(-275)). Let s(c) = -8*c**2 + 3*c + 45. Let x(t) = w*s(t) + 3*j(t). Factor x(o).\nAnswer: 5*(o - 3)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 2*k**2 + k - 2. Let o = 2 + 1. Suppose -2*b - a + 9 = -5*b, -2*a - 18 = o*b. Let p be 24\/15 - b\/10. Give q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32392 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -0.3, 132?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -2.9. Sort -1, d, -0.3 in decreasing order.\nAnswer: -0.3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/3)\/1*6\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -11*f + 589. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 4 (c) -1 (d) -133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 364*a**5 + 4*a**4 - 8*a**2 - 2*a - 91. Let w(c) = c**5 - c**4 + 2*c**2 + c - 2. Let s(o) = l(o) + 4*w(o). Find the second derivative of s(n) wrt n.\nAnswer: 7360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/86*(1495\/23)\/65.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/715 + (-4)\/(-22). Let n = 0 - -1. Does u = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yszyyoszoyzoznynzs. Give prob of sequence os.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -272 + 9?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*w**2 + 25 - 13 - 176*w**2 - 12.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:26 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 14 - 5 + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/5 - 5\/25. Suppose -98*m = 3*z - 102*m - 5, 4*z + 12 = -4*m. Suppose -4*w + 3*w = -2. Sort f, z, w, -6 in decreasing order.\nAnswer: w, f, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5308 and 388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d, -5*b + 15 = -0*b - d. Solve -b*w = -12 - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5\/6 + 58*g**4\/3 - 1619*g**3\/3 - 3896*g**2\/3 + 24839*g\/6 - 6962\/3 = 0.\nAnswer: -4, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/105 + (-2 - 32\/10). Let x(v) = v**3 + 4*v**2 - 6*v - 6. Give x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 579340*b\/3 + 15451200.\nAnswer: -(b - 579420)*(b + 80)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3730, -4, -226 in ascending order.\nAnswer: -226, -4, 1, 3730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*-3*176\/(-66). Solve y - 2*y + 1 = -2*b, -2*y - h*b = 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 10*o**2 - 1. Suppose -3*v + 9 = 3*l, -5*l = -2*v - l. Suppose 0 = -v*a + 6*a + 40. Let m be i(a). Which is greater: m or -17\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -122*h + 2081. Let u be y(17). Calculate the greatest common divisor of u and 5033.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-396)*6*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.155202149 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 8*t + 4. Calculate the lowest common multiple of h(-8) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(7 + 4*(-21)\/14) + -9. Solve -b*s - 2*s - 9 = -h, 5*s = -2*h - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 2*((-16)\/(-12) + 2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*d + 4 = 351, 5*k + 2*d = 405. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**6\/360 + z**5\/24 + z**4\/12 - z. Let f(q) be the third derivative of u(q). Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1046?\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/6)\/(5 + 225\/(-54)). Which is the third biggest value? (a) g (b) 1\/4 (c) -4 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1217.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 280.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57399 is divided by 27959?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - 242134\/470412. Let v = -5\/358 - k. Let g = v + 12475\/10512. Find the common denominator of 15\/16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from styyslslybysgss. Give prob of sequence tsyl.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 1\/105*c**7 + 0*c + 0 + 0*c**6 + 4\/3*c**4 - 72*c**2 + 0*c**3 + 0*c**5. Find the second derivative of o(r) wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -159*h - 3695. What is the tens digit of i(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 11*v**5\/12 + 23*v**3\/6 - 3553*v**2. Let o(a) = -4*a**2. Give i(o(g)).\nAnswer: 880*g**4 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 486645238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeat when four letters picked without replacement from {t: 3, a: 2, d: 6, e: 5, g: 2}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30921 * 10.9.\nAnswer: -337038.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0056785 - 5.4050585. Let v = h - -5.4. What is v rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**3 + 6*r**2 - 651*r + 5. Let u(k) = 5*k**3 - 5*k**2 + 653*k - 4. Give -5*u(n) - 4*x(n).\nAnswer: -n**3 + n**2 - 661*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 4*f + 2*b, -3*f + 492 = 4*b - 38. Suppose 2*z + 20 - f = 0. Suppose c - z = -4*c. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*w - 4*j, -2*j = -4*w + 2 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225 - 213 + 797*p**2 - 210 + 861 - 213.\nAnswer: 797*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - a - 6018412 = 0, -2*p + 8609366 = 5*a + 2590990. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.4, -0.5, 2\/35 in decreasing order.\nAnswer: 2\/35, -0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-9))\/((-6)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(14)\/((sqrt(64)\/sqrt(4))\/sqrt(8)) + (1*sqrt(42))\/sqrt(6) + sqrt(7) + -5)**2 + 2.\nAnswer: -30*sqrt(7) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 8. Suppose -r = -v*u - 4, -4*r = -3*u - 2 - 14. Suppose -3*z + 7 = -4*z - 2*s, -4*z = -r*s - 32. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 2. Suppose 0*h - 3*z = h, -4*z - m = -2*h. Suppose 0 = -t + h*t - 44500. What is t rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x - 31*x - 316*x + 8148 = 0 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**8)\/(b\/b**(-2\/3))*b*b**(1\/12)*b**(1\/5)*b assuming b is positive.\nAnswer: b**(577\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1644 - 1640. Let t = 0.8 - 0.5. Let z = 0.2 + t. Which is the third smallest value? (a) j (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7 + 7 - 3*b**2. Let s(n) = -n**2. Determine f(s(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*2)\/((sqrt(225) + sqrt(9))*6).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 184, 154, 112, 64, 16?\n\"Answer: l**3 - 12*l**2 - l + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**3 + 3*k**3 - 3*k**2 + 7 + 2*k**3 - 8 to the form r*k + q*k**3 + c + b*k**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2*j*k**2 + 17853*g**2*k**3 + 87*g*j*k - 2*j*k**3 + 24*j*k**2 - k**3 wrt k?\nAnswer: 107118*g**2 - 12*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(650\/675)\/(-26)*(-18)\/28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 8:24 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 4364*t - 4364*t - 6*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5478*i**2 + 2691*i**2 + 8551*i**2.\nAnswer: 5764*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150577818?\nAnswer: 2, 3, 599, 41897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582112 is divided by 61?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 32. Suppose s*v - 2*u - 38 = 3*v, 0 = -5*v - 5*u + 45. Let f = 13 - v. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -140, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3611 + 5431. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*-2 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.088 - 0.088. Which is the nearest to g? (a) -5 (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 + 13 = -z, -o + 3*z = -17. Factor 2*y - 5*y**o + 4*y**2 + 0 - 1.\nAnswer: -(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5\/226, 5, 2\/3, -0.17, -54?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. What is the third smallest value in x, 4\/9, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*r**4 + 5*k*r - 23*k - 5*r**4 with respect to r.\nAnswer: -8*k*r**3 + 5*k - 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -74, -145, -238, -353, -490, -649?\n\"Answer: -11*r**2 - 16*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1454*u**3 + 1214*u**3 + 2291*u**3 + 3531*u**3.\nAnswer: 5582*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156.46 - 2.54. Let v = 135 + r. What is the closest to -1 in 1\/5, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*o*r**3*x + 3*o*r*x - 10161*o - 531*r**3*x - 2*r**3 wrt x?\nAnswer: 17*o*r**3 + 3*o*r - 531*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40488 and 333858.\nAnswer: 321839112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + -9 + 2 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/13, 3\/2, -652?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -294138.149 - -0.35?\nAnswer: -294137.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*q**2 + 27759*q - 27759*q)*(0*q + 0*q - q).\nAnswer: -192*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/287)\/((-2608)\/(-4564))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 70664?\nAnswer: 423984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -137. Let c = i - -59. Let z be 18\/27 - (-76)\/c. Solve 6 = -4*q + z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 3*k + 3. Let q be 76\/6 - (-3)\/9. Suppose -2*m = -s - q + 5, -3*m + s + 10 = 0. What is the units digit of i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - (1397\/(-5) + -3). What is the units digit of (6 + k)*3\/((-36)\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p + 51*p = 0. Let u(c) = 12*c + 3. Calculate u(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -3 + sqrt(56)\/sqrt(8)*-1)**2.\nAnswer: -66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/3, 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 + 6\/(-15). Let l be (m - -1) + 1 + 5. Let r(z) be the third derivative of z**5\/60 - 5*z**4\/24 - z**3\/2 - 2*z**2. Determine r(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4179252 by 2.\nAnswer: -2089626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/(b\/b**7))\/((((b*b**(-1\/6)*b*b)\/b)\/b*b)\/b**(2\/3))*((b**(-2\/5)\/b)**(-33\/2))**(11\/2) assuming b is positive.\nAnswer: b**(7733\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1895, 3600, 5305?\nAnswer: 7010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5899 and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 - 40*c**4\/3 + 163*c**3\/3 - 164*c**2\/3 + 59*c\/3 - 2 = 0.\nAnswer: -6, 1\/6, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/220150 and -61\/98420?\nAnswer: 8365700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 33.1. Let v = d - 1.9. Let b = v - -3.0000048. What is b rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/(2\/(-18)). Let c(i) = -i**2 + 8*i + 9. Let x be c(v). Suppose -a = -x*a + 3, 0 = -4*f - a + 5. Solve f*s - 4 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**11)**(-29) assuming x is positive.\nAnswer: x**290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u\/((u*u**7*u)\/u)*u*u)*u**8*(u*((u**(-1)*u*u)\/u)\/u)\/(u*u*u*(u\/u**(-1\/4))\/u*u*u*u*u) assuming u is positive.\nAnswer: u**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h - 108. Let q = -12 - h. What is the highest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -79, 1.3, -10?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1104 + -513. Let a(s) = -z - s**2 + 585 + 3*s + 3*s**2. Determine a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**3 - o**2\/2 + 2*o - 2. Let m = 0 - -2. List the prime factors of i(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/6 - (-5)\/(-15). Let b be -3 - 12\/a*4. Let w be -2*1\/6*-9*-1. Sort b, -2\/5, w in descending order.\nAnswer: b, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z**2 + 33*z**2 - 161*z**2.\nAnswer: -85*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 389 + -700. Let g = y - -310.8. Which is the smallest value? (a) -1\/2 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-2)**2*-1 - sqrt(35)\/(-2*sqrt(80)).\nAnswer: -4032 + sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.25 + 0.45. Let o = g - 11.7. Which is the third biggest value? (a) 3\/7 (b) 0.1 (c) -0.2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 25 = -1. Suppose -22*i - 224 + 8276 = 0. Let o = i - 341. Is y <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*p + (-39 - 17 - 29)*(0*p + 2*p - 3*p) + 5*p + 9 - 8 - 3*p)*(-2*p**3 - p**3 + 2*p**3).\nAnswer: -85*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 17 = -s, -2*w + 2*s - 10 - 10 = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q**2 - 4*q - 3. Let j = 2990 + -2986. Let s(o) = -10*o**2 - 5*o - 4. What is j*m(t) - 3*s(t)?\nAnswer: -10*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j - 2. Let v(f) = -f + 1. Determine -i(a) + 2*v(a).\nAnswer: 6*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 + -163. Let g = 26 + a. What is the highest common divisor of 240 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601955 is divided by 523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1155 (b) -5 (c) 5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003 - -30033010?\nAnswer: 30032001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 220732514 a multiple of 1027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 552*u**2 + 3359*u + 452. Calculate w(-6).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -25 - (-105 + 140)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 6*i**4 - i**3 - 33*i**2 + 45*i - 17 = 0.\nAnswer: -17\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -46, -20, 62, 218, 466, 824, 1310?\n\"Answer: 3*y**3 + y**2 - 36*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 653 + -346. What are the prime factors of m?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718513032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -1\/10*i**5 + 0*i**2 + 0*i**4 + 0*i + 0*i**3 - 2. Factor z(m).\nAnswer: -m**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrrg when four letters picked without replacement from grqygyru?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412724249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 2040*n + 20053. Determine l(-10).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -23 + 19\/2*c**2 + 25\/4*c**4 + 0*c + 0*c**3. What is the second derivative of a(m) wrt m?\nAnswer: 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 - 513*r**4\/2 + 7041*r**3\/2 - 16985*r**2\/2 - 4041*r\/2 + 7245 = 0. Calculate r.\nAnswer: -7\/8, 1, 3, 15, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjssjshahshavhhssan. Give prob of sequence hv.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/52*10\/4. Let y = -7555\/312 - f. Find the common denominator of y and 47\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**18\/w*w\/w**(5\/9))\/(w\/(w*w**(-18)*w)*w**(-1\/8)*w))**44 assuming w is positive.\nAnswer: w**(-341\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.902 + -0.25. Let s = m + 0.39. Let v = -0.042 + s. Which is the closest to v? (a) -5\/6 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 507039445 and 2365?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/((-2)\/80). Let j be (3\/(-2))\/((-18)\/1392). Let h = j + -76. What is the highest common factor of h and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53530*y**2 - 95760*y wrt y.\nAnswer: -107060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*q + 206 - 78. What is the smallest common multiple of 444 and q?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 4*g + 4*g)*(-6 - 4 + 5)*(7*g + g - g) to r*g + t + a*g**2 and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.8 - 9.8. What is the nearest to -0.1 in 3\/8, 1, p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2\/15, -11, -3.\nAnswer: -11, -3, -1\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28638375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-16)*-2 - (-2 + 2). What is the closest to 1 in g, -2\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*d = -7397, -v - 4*d + 2439 = -0*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163072 + 163077. Suppose x - 27 = 4*g - 146, 3*g = -3*x + 93. Solve -b - g = m*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from hehhhheeehh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4)*220\/25. Let a = r - 31. Let p = 1 - a. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 7:00 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -561 + 136. Let y = 103 - r. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 19898*h - 2. Let y be r(-1). What is y rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657617192.\nAnswer: 2, 3, 7, 11, 298993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*x**3 + 24*c*x + 114340*c + 1127*x**3 with respect to x.\nAnswer: -3*c*x**2 + 24*c + 3381*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19096368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56162 is divided by 407.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1, 0, 18.291, -0.3, -0.2.\nAnswer: -1, -0.3, -0.2, 0, 2\/9, 18.291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 q, and 1 f when four letters picked without replacement from qfrfffyfffqy?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 53463990.\nAnswer: 213855960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -3. Suppose 0 = -5*a - 4*j - 1730, -a - 2*j - 1740 = 4*a. Calculate the remainder when a\/(-11) + 2\/11 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 1. Let i be (-36)\/84 - (-346)\/7. Let p = 21 - i. Let h = -30 - p. Determine a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 918128699 to the nearest integer?\nAnswer: 30301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 175448 (base 13) in base 7?\nAnswer: 4645352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:47 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 649558186 to the power of 1\/3, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 109892800.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*v + 9, -3365*j = -3362*j - 4*v - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 - 167 + 546*r**2 + 2877 - 546*r**2.\nAnswer: 10*r**3 + 2710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27941400 and 5719.\nAnswer: 195589800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/228*7176\/(-65) - -10*(-5)\/475?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x**5)\/(x*x**(1\/4))**(-15))\/(x\/(x\/x**(1\/2))*x*x**(-7)*x*x*(x\/(x*x**(4\/3)))\/x*x\/((x**1*x)\/x)) assuming x is positive.\nAnswer: x**(295\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4674 + 13?\nAnswer: 4687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(55)\/(sqrt(180)*1) + -3).\nAnswer: -9 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1344 - -4?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q + 47 + 44 - 93 + 11*q**2 - 13*q**3. Let u(y) = 7*y**3 - 5*y**2 + 6*y. Let p(a) = 6*b(a) + 11*u(a). What is p(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = d - 490, 5*d = 5*v + 595 - 85. Let i = 250 - v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 93. Let m = a - 103. Let u = -76.7 - m. Are u and 2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -971 + 994 + -1 + -31?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 - 13982*v**2 + 177435280*v - 364255251096 = 0 for v.\nAnswer: -14163, 3586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*j + 2 = -4, -2*p - 7*j - 20 = -6*p + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.122154 and -0.1?\nAnswer: -0.0122154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -231000 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (10 + 5 + -3 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 23. Let r = 36 + -36. Determine b(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/4 - 3387*c**4\/4 - 191721*c**3\/4 - 2485893*c**2\/4 + 2212656*c - 1542405 = 0. Calculate c.\nAnswer: -1070, -31, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c - 2*c**2 + 249 + 0*c**2 - 249. Let z(w) = 25*w + 13. Let h(n) = 2*n + 1. Let s(l) = 78*h(l) - 6*z(l). Determine s(b(j)).\nAnswer: -12*j**2 - 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2415.1 - -2415.1. What is the second smallest value in 0.2, l, -5, 10.39, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1560220, -1560221, -1560222, -1560223, -1560224, -1560225?\n\"Answer: -r - 1560219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -29*s + 308. Let j be v(11). What is the thousands digit of (-3466)\/(-7 + (-6 - j))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10923 a multiple of 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*u**2 + 1)*(309*u - 76*u + 196*u).\nAnswer: 858*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86220 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 - 40*l**3)*(0*l**2 + 2 + l**2 + 0*l**2).\nAnswer: -40*l**5 - 80*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/45*((-18)\/8)\/(-3). What is the closest to 0.1 in 4\/5, f, 26?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/3)*d*d\/(d\/d**(-2\/7))*d)\/(d**0)**(-22\/5)*((d*d**(-2)*d)**(1\/9))**(-48) assuming d is positive.\nAnswer: d**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1300) - (sqrt(1300) + 2)) + sqrt(1300) - ((2 + sqrt(1300) + sqrt(1300))*-5 - sqrt(1300)))**2.\nAnswer: 480*sqrt(13) + 187204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 5*q - 4*q. Let o(x) = -x. Let u(s) = 2*s. Let i(a) = 15*o(a) + 6*u(a). Calculate i(b(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5310324.\nAnswer: 2, 3, 17, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 989557.3us in seconds?\nAnswer: 0.9895573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -351*b. Let q(i) = 673570*i. Give -2*q(v) - 3839*x(v).\nAnswer: 349*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q**2 + 0 + 1\/2*q**3 - 1\/4*q - 1\/4*q**5 + 0*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25\/(75\/24) - -1455 is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/59? (a) 0.01 (b) -51 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*h**4*z**2 + 308*h**4*z - 24*h**3*z + 6*h**2*z**2 + 1471*h**2*z - 22*h**2 + 2*h*z + 2*h wrt h?\nAnswer: 936*h*z**2 + 7392*h*z - 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w + 1. Let m be 10\/35 + 4\/(-14) + 0. Determine t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttb when four letters picked without replacement from {t: 5, b: 8}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -137320763, -274641521, -411962279, -549283037, -686603795?\n\"Answer: -137320758*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 4. Let p(l) = 17*l + 127. Let b(f) = p(f) - 3*q(f). What are the prime factors of b(26)?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - 61*k - 359. Let q be x(-5). Solve 66 = -5*z + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**5\/20 + 13*s**4\/12 + 3*s**3 - 11*s**2\/2 - 24*s. List the prime factors of x(-10).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493740333 divided by -10557.\nAnswer: 46769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*x + 40, -11*x + 2122 - 1104 = 4*w + 1075 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 124*j**2 - 39985*j + 39984. Determine t(1).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 15*j**2 - 39*j + 21. Let u be x(12). Let d(h) = h**2 + 11*h - 18. Let s be d(u). What is the highest common factor of 322 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l + 10. Let d(p) = -p + 1. Let s(j) = -20*d(j) + 2*h(j). Let n be s(-4). Let a be (8 + -6)*3\/(-6). Sort -3, n, a in decreasing order.\nAnswer: a, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f**3 - 14*f**2 - f + 20. Let w(b) = 18*b**3 + 20*b**2 + b - 30. Give 7*i(j) + 5*w(j).\nAnswer: -j**3 + 2*j**2 - 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*p**2 - 2903*p**4 + 2906*p**4 - 2*p + p**3 + 3*p - 2*p**3 - p**3 to the form d*p**2 + x*p**4 + q*p + o + h*p**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/28 and 209\/3360.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44118.5ml to litres.\nAnswer: 44.1185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309753030 to the power of 1\/2, to the nearest integer?\nAnswer: 36191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 917 + -912. Suppose -3 = 3*x + 3*p, -y = x - 23*p + 20*p. Let c(u) = 2*u**3 - 2*u**2 - 3*u - 3. What is c(x)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 17. Let a be h(29). Let n = a + 57. Calculate the remainder when 24 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/17, 5\/2, 43.9, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/3 - 4\/3*x**3 + 1\/6*x**4 + 2*x**2 + 16\/3*x.\nAnswer: (x - 4)**2*(x - 2)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/39)\/(g**(-7)*g)*g*g*g**5*g**5 assuming g is positive.\nAnswer: g**(704\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*m - 5 + 5 - 694*m to the form p*m + o and give p.\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 10*j + 9. Let x be f(-10). Suppose -5*y = 4*l - 11, 0*y - x = -3*l - 3*y. Suppose 2*o - l = o. Sort 3, -3, o in decreasing order.\nAnswer: o, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 less than 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 3*p**2 - 2*p - 2. Let k(a) be the first derivative of a**4\/2 - 4*a**3\/3 - a**2 - 3*a + 4. Give -3*k(b) + 4*m(b).\nAnswer: -2*b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:25 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 52*q + 25. Calculate x(-3).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*sqrt(98) - sqrt(98))**2.\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -424 - 40. Let j = 1087 + s. What are the prime factors of j?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 9*n**2 + 25*n - 116. What is m(4)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43434 minus -6278?\nAnswer: -37156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p)**12\/(p**(4\/5)\/(((p**(-19)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210776700 rounded to the nearest one hundred thousand?\nAnswer: 2210800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.86475*4404\nAnswer: -3808.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 70*r**2 + 8*r - 9. Determine m(3).\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-nine fifths of a centimeter?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -13 - 3 - (4 + -1) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f + 4*h - 2, -2*f + 14 = -2*h. Suppose 0*n = -5*n + 100. Suppose 0 = -9*b + 4*b + n. Solve -f = -b*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**5\/4 - 6525*o**4\/4 + 2157735*o**3\/4 - 18759655*o**2\/4 - 11004660*o - 5773680 = 0?\nAnswer: -1, 11, 648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 - 4*w**3 - 10*w**3 - 4*w**3 - 1 as b*w**3 + y*w + a + i*w**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -k + 6*k - 9862, 5*w = -5*k + 9855. Suppose 0*r - 1972 = -4*r - u, -2*u - k = -4*r. List the prime factors of r.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-18)\/(-1548))\/(-2*6\/8).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 177768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, b: 4, m: 3}. Give prob of picking 2 b and 2 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -365 - -364.9292. Let v = 0.3408 + x. Which is the second smallest value? (a) 5 (b) 3 (c) v (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117\/10045 - 33\/245. Which is the closest to -0.1? (a) 2\/7 (b) -2\/3 (c) l (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/350*-14)\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.05 (b) -2.4 (c) 20 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**14)**(-4\/29)*(t**(-5))**(-1\/9) assuming t is positive.\nAnswer: t**(-359\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13451 + 6811 = -537*x - 9810 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 698687 - -9?\nAnswer: 698691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160025*c + 91358*c - 26231*c - 158564*c.\nAnswer: -253462*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 71 = 5*u, -4*a - u + 11 = -86. Sort a, 0, 1, 3 in ascending order.\nAnswer: 0, 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 2. Let c(x) be the first derivative of x**4\/4 - 2*x**3 + 3*x**2 - 5*x + 1. Let o be c(t). Let s(f) = -f + 2. Give s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 1.9. Put b, 0.2, 0.04 in ascending order.\nAnswer: 0.04, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {v: 2, u: 1, j: 4, h: 1, g: 2, c: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 82. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1700166 by 43594.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 + 1. Let n be 6*((-20)\/12)\/(-5). Let g(s) = -s**2 + 2*s + 1. Let y be g(n). Let o be w(y). Sort o, 2, -2.\nAnswer: o, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14195, -28301, -42407, -56513, -70619, -84725?\n\"Answer: -14106*z - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from tftfffefettfufs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = c + 9, 1045*i = 5*c + 1040*i - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69972161.\nAnswer: 7, 587, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -301 - -321. Is 14 a factor of (714\/(-15))\/((-4)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 24*r**2 - 24*r + 28. Calculate o(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) - (-120)\/(-36). Let g be 4\/(-10) - 14\/(-10). Let q(t) = g - 3*t + 3*t - 2*t. Give q(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358907?\nAnswer: 358907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**14))**(17\/5))**(-2\/13) assuming n is positive.\nAnswer: n**(-476\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 60?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.3406002 to two decimal places.\nAnswer: -10.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/5, 0, 91971?\nAnswer: 91971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + 0) - 7 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -44\/4953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 2, c: 1, x: 3}. What is prob of picking 1 x and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -2\/3*b**3 + 7*b + 64 + 0*b**2 - 7\/4*b**4. What is the derivative of c(h) wrt h?\nAnswer: -21*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13851 - -4863?\nAnswer: -7877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4165885 and 7.\nAnswer: 6.5834115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -526.\nAnswer: -21.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*((o**(-4\/3)*o*o)\/o)\/o*(o**0\/o)\/o*o**(-8)\/o**(-6) assuming o is positive.\nAnswer: o**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/o**(-5))*o)\/o**(-7\/3)*(o\/(o*o\/o**(-2\/9)))\/(o*o**(-13)) assuming o is positive.\nAnswer: o**(91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 = -19. Let r be (18\/(-5))\/c*-5. Let w(n) = 17*n - 22*n + 3*n + 7. What is w(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + -71 + 1 + -4 + 3 + 8 - -39?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2 + 11*y - 55. Let z be -2 + -1 + 176\/16. Let a be d(z). What is a rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.8520551 rounded to three dps?\nAnswer: -12.852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/1071 and 32\/147.\nAnswer: 7497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-190)\/12 + (-2)\/12. Suppose -2*q + n + 0 = -7, 0 = 3*q + 4*n - 27. What is the units digit of (p\/q)\/(2\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*c - 10, -o + 230*c - 235*c - 4 = 0. Let f = 22 + -8. Which is bigger: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 408.91 - 400. Let p = -0.09 - x. Let o = -226 - -225.9. Put 3, o, p in descending order.\nAnswer: 3, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11210000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2377*o**2 + 13*o**5 + 0*o**5 - 24*o - 2377*o**2 wrt o.\nAnswer: 260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/4)\/(t**4\/t))\/(t**(1\/4)\/t**(1\/9)))**17)**36 assuming t is positive.\nAnswer: t**(-2074)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 3 + 10 + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584 divided by -146.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 469d0e (base 15) to base 3\nAnswer: 20100110000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.644 + 0.704. Let x = 5.005 + -0.005. Which is the closest to y? (a) x (b) -3\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 39*f**2 + 6 - 6.\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 683 - 674. Calculate the least common multiple of 570 and o.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/3 - 3*i**2 + 6*i - 5. Let x be 140\/8*8\/10. Let g be ((-8)\/(-3))\/((x\/(-3))\/(-7)). Determine w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -225*q - 602. Is l(-6) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.11 (c) -0.03 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 100\/(-15))\/(1\/3). Sort -4, -3, k, 0 in increasing order.\nAnswer: -4, -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -797 = -19*s - 740. Let w(f) = f - 2. Let o be w(4). What is the third derivative of 10*y - 11*y**s + 9*y**2 - 10*y - y**o wrt y?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*((-220)\/(-25) - 9)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -741\/4 + 184. Let m = -432 + 3459\/8. Which is the third biggest value? (a) 4 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15539 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 56*r**2 + 701*r + 1089. Determine t(22).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/5)\/(424\/2120)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 453535870*g*x + 467841*x + 486 wrt g.\nAnswer: 453535870*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 - 18*r**2 - 16*r + 3. Let m(l) = 5*l**3 + 33*l**2 + 32*l - 6. Let u(f) = -4*m(f) - 7*s(f). Calculate u(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100290418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 27*i**2 + 7*i + 8. Let t be a(-4). Let s(f) = 412 + f**2 - f - t. Let y be s(0). Solve y = c + 3*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.192612+-34.9\nAnswer: -34.707388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/24 - i**2. Let f(k) = -1333*k**2 - 558. Let x(j) = 36*j**2 + 15. Let a(h) = 5*f(h) + 186*x(h). Calculate m(a(s)).\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 + 6 = 4*z, 2*z = 8. Suppose 4*f - 4*w = 3728, 2789 = 3*f - b*w + 4*w. What are the prime factors of f?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/7 + -1 + (-7824)\/624 - 321\/(-65)\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 6462 + 1194. What are the prime factors of i?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -206 + 206 + 15*q. Let p(n) = -n. Let u(g) = g. Let x(m) = 5*p(m) + 7*u(m). What is i(x(l))?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 + b. Suppose o = 12*o - 55. Let z(q) = o*q**2 - 414*q + 414*q. Give l(z(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/13)\/(16\/(-104))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1319 - -1322. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5 - (-676)\/130) + (2 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154318?\nAnswer: 2, 11, 71, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 433\/(-9) - 70605\/(-1569)\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 34*n + 5136. Let t = 857\/4 + n. Is 2 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*z - z + 4*r, -4*r = -2*z + 6. Let n = 45 + -36. Solve z*q + n = -2*c, -5*c - 3*q - 2 = -8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336769632 to the power of 1\/2, to the nearest integer?\nAnswer: 18351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 38 - j - 32 + 0*j to p + d*j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*(c\/((c**(-3\/13)\/c)\/c)*c)\/c*c*c*c*(c**11*c)\/c)**(4\/19) assuming c is positive.\nAnswer: c**(1052\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 2*m - 3. Let a(s) = 2*s - 2. Determine 6*a(f) - 4*j(f).\nAnswer: 4*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**3 + 3609*y**2 + 21738*y + 29016 = 0.\nAnswer: -4, -2, 1209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 247138687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322*p**5 - 8168*p**3 + 1266267*p**2 + 2*p wrt p?\nAnswer: -19320*p**2 - 49008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325605 (base 8) in base 15?\nAnswer: 75179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/4 - 58*u**3 - 2352*u**2 - 15968*u - 30016 = 0.\nAnswer: -28, -4, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23759 and 55867.\nAnswer: 57710611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 41 + 11. Calculate the smallest common multiple of g and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 1 (c) -852 (d) 2\/9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 299188385*k**2 + 189912755 wrt k?\nAnswer: 598376770*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -111*y**2 + 11*y - 84. Let b = -44 - -46. Let s(a) = -22*a**2 + 2*a - 17. Let t(x) = b*q(x) - 11*s(x). Differentiate t(i) wrt i.\nAnswer: 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*n - 170. Suppose -n = -5*x - 0*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(0 + sqrt(605)).\nAnswer: 3 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4341 - 4342. Sort 10, 4, v, 1, 6 in ascending order.\nAnswer: v, 1, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37040431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -25*f**2 - 548*f - 1774. Give s(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 m, and 1 j when four letters picked without replacement from jmoommdjmjdmmdjjo?\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -355 (b) 65 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2. Let t(f) = -2*f**2 + 22*f - 2. Give -g(h) + t(h).\nAnswer: -h**2 + 22*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1967 = -2*j - 4*g - 2459, -4*j - 3*g = 8877. Let r = -22257\/10 - j. Calculate the common denominator of 117\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8462221 and -8462221 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*w + 434*w = 1535*w - 261*w + 13140 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 879950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02765 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*a + 4879, 0 = 2*q - 2 - 4. Suppose -3*k = k - a. What is the greatest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -923 divided by 3\nAnswer: -923\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*m - 5*d, -5*m + 6 = d - 0*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36, 70, 104, 138?\n\"Answer: 34*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqrrqrtqqrrqrqgqgqr. Give prob of sequence rtg.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 205853 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -51, -43, -45, -51, -55, -51?\n\"Answer: o**3 - 14*o**2 + 59*o - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q + 3*j - 81595, -5*q + j + 81595 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from mxwlmlxv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**(-4)*u)\/(u**(-1\/4)\/u))\/((u*u\/u**(-6))\/u**(2\/3))*(u**1)**(1\/40)*((u\/u**(-1\/3)*u)\/u)**(-10) assuming u is positive.\nAnswer: u**(-1367\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71113 by -3.\nAnswer: -71113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 29?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -3*l + 3*a + 335, -5*l = 2*a - 708. Let k = 156 - l. What is the remainder when 48 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 69*o**2 + 130*o + 291. What is a(67)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 8:01 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/3 < 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let n = -5\/8 + 7\/8. Is t != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-438)\/5913 + (-13)\/(-540).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 25 = -29*s + 33*s, 0 = s - 5*n + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -24. Let k(x) = -x**3 + 12*x**2 - 18*x - 17. Let h be k(m). Suppose 65 = -h*g + 4*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d. Let u(s) = 26603*s**2 + 1. Give u(g(p)).\nAnswer: 2660300*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m + 145. Let y be d(12). Solve -2 = 2*x, -4*x = -3*k - 2*x - y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -61 + 3?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -604 + 606 + (-4 - (-2 + -2 + -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)\/(-3*(-1)\/57). Let a = -1 - 3. Sort h, a, -1.\nAnswer: a, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**7\/420 + u**6\/36 - u**5\/10 + 2*u**3\/3 - 44*u + 15. Let j(w) be the third derivative of x(w). Factor j(l).\nAnswer: -2*l*(l - 3)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108169464 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2\/79 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.8635771 weeks?\nAnswer: 145.0809528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f**2 - 2*f + 70. Is v(0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 5*d + 10. Let p = 33 + -23. Let x be h(p). Let j = -29 - -69. Calculate the highest common divisor of j and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 55122.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((28732\/2871 + -10)*9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 6*x - 56. Suppose -2*t - 26 = -5*y - 0*y, 4*t = y - 16. Suppose -y*w + w = -x. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290680 and 3870.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038741171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*g**2 - 2*g + 60 wrt g?\nAnswer: 138*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**2 - 7*l - 6. Let u(m) = -5*m**2 - 17*m - m + 13*m - 2 - 5. Let z(t) = 6*i(t) - 7*u(t). Calculate z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/2 + 399*l**3\/2 - 1677*l**2\/2 - 4539*l\/2 - 1233 = 0. What is l?\nAnswer: -137, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**2 + 14*b + 678 wrt b?\nAnswer: -8*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 5. Which is the closest to -1? (a) 4 (b) n (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 633*h - 3146. What is y(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45732 - 30222. Round j to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14572032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18216 + -18257. What is the closest to -1 in j, -27, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {r: 8, w: 5, m: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 12*n**2 - 647*n - 1807. Calculate l(33).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24425 is divided by 44?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -15*c + 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7200072 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27918*z = 31266*z + 294624 for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*j + 27*j**3 + 287*j.\nAnswer: 27*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2 - 18*b. Let z(d) = -4*d**2 - 9*d. Let t = -872 + 877. Give t*z(v) - 3*r(v).\nAnswer: v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let b = -3 + 8. What is the closest to n in -3\/2, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10 + 570\/50*7. Let d = -6 - -22. Calculate the highest common divisor of d and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + -146?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -4063*i**9\/252 + 709*i**5\/6 - 1059*i**2 + 5*i. Find the third derivative of m(x) wrt x.\nAnswer: -975120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p + 38. Let f be j(6). Let w be ((-4)\/(-7))\/(2\/7). Let z(a) = a - 2 + 3*a - w*a. Give z(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/162 and 50\/7.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390 - -313. What are the prime factors of k?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = -29*z + 1367935. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2299 + -231. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/2, -0.1, 1410, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 384515 - 178799566\/465. Find the common denominator of 121\/310 and a.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 22416.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-4 - -9 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 7) to base 13.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6936644 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 379*f + 4177. What is y(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - o + 2. Let f be q(-3). Let i = -2 - f. Suppose -1 = -i*h + 1. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*f - 1292*f - 5 + 5)*(-f**2 + 3*f**2 - 3*f**2).\nAnswer: 1267*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -57 (b) -3 (c) -5 (d) 2\/5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022303 + -2?\nAnswer: -2022311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 7*d**6\/2 + 7*d**4\/2 - 43*d**2\/2 - 6*d + 494. Find the second derivative of k(u) wrt u.\nAnswer: 420*u**3 + 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 13)\/(21\/(-189)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 696, 1370, 2044, 2718?\n\"Answer: 674*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9495 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2564175*g*p - 222998954*g + 13*p wrt p?\nAnswer: 2564175*g + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -8. Let c = -2434 - -2474. What is the least common multiple of p and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 8.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 11*p**2 + 14*p - 21. Let h be k(12). Suppose 0 = -h*g - 0*g. Solve 4*c = 5*v - 13, g*v - 5*c = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(1 + 2*(-5 + ((sqrt(17) - (sqrt(17) + -1))*-4)**2*-5)).\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 2370?\nAnswer: 2370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2251545066 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 158758488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1150, -2\/61 in increasing order.\nAnswer: -2\/61, 0.2, 1150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12242482523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -212198\/3, -2\/27, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20055069 - 20055106.334867. Let f = -0.038133 + r. Let n = 0.127 - f. What is n rounded to 0 dps?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/3 - ((-600321)\/(-84483) - (-1)\/27)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3316095 and 123651?\nAnswer: 36477045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 26\/383 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0668 times 0.25?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15897 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + z)*(-z - z**2 + z) - 112*z**3 + 410*z**3 + 186*z**3.\nAnswer: 486*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 6. Let f be t(-7). Let b be -1 + 5 - 1 - 1. Solve -2*g + b = -f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s - 310. Let n(p) = 3*p - 104. Calculate 2*c(a) - 7*n(a).\nAnswer: -a + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12015 is divided by 2000.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7093 + -7097. Let o(j) = j**3 - 2*j**2 + 4*j - 8. Let y(r) = 2*r**2 - 3*r + 9. Determine i*y(w) - 3*o(w).\nAnswer: -3*w**3 - 2*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 42. Let o(a) = -a. Let x(y) = y**2 + 7*y + 10. Let p be x(-5). Let m be o(p). Is 14 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 1. Let v(h) = 2*h**2 + 2. Let s(a) = v(a) + x(a). Let l(k) be the first derivative of s(k). Let j(c) = 184 - 184 - 2*c**2. Give l(j(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 809997826 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -111, -142, -197, -288, -427, -626, -897, -1252?\n\"Answer: -2*r**3 - 17*r - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(2*j + 2 + 3*j + j).\nAnswer: 18*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 65448.5 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 915096 - 915093. Let c be ((-2)\/4)\/((-2)\/8). Solve -p*n + 5 = -c*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/((-25)\/875*10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (2*-2*sqrt(133) + sqrt(133) - (sqrt(133) + (sqrt(133) - -4*sqrt(133)*-2)))\/(-2*sqrt(28)\/sqrt(4)*1))*-4)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.049 - -0.249. Which is the closest to v? (a) -5 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 8) to base 9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7089500 rounded to the nearest 10000?\nAnswer: -7090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*p - 14, -5*y - p + 21 = 4. Let u(v) = 288*v - 815*v + 523*v. Determine u(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1069 + -1065. Solve 3*s = -3, -c - 2*s - v + 0 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -11*g + 6*g - 30, z = 3*g + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + q = 6*q - 10, -5*r = -3*q + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -337 - -680. Let a = 362.1 - f. Let c = 19 - a. Is c <= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = j. Let u = 17 + j. Let y = 19 - u. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 != 9915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 133\/6*y**4 - 277\/9*y**3 - 12*y - 49\/15*y**5 - 249 - 38*y**2. Let m(j) = 0. Calculate j.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*f - 23 = 0, 8*w = -72*f + 77*f - 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.002 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 3 + 3 + 0. Let b(s) = -2 + 2 - 1 - s. Let k be 2*(0 - (-1)\/(-2)). Determine k*b(r) - 3*i(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 + 9199*f + 119756 = 0.\nAnswer: -13, 9212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 543*w - 2*w**2 - 268*w - 277*w - 96 to the form m*w + y*w**3 + b + v*w**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -15, 32792 in increasing order.\nAnswer: -28, -15, 32792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9656 + -1805068\nAnswer: -1814724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/4? (a) -1\/4 (b) 0.1 (c) -0.1 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m - 1. Let a(r) = 203*r**3 + 6*r**2 + 6*r - 64. Let z(w) = a(w) - 6*v(w). Find the first derivative of z(t) wrt t.\nAnswer: 609*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/28632760 and -71\/195160.\nAnswer: 200429320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19304058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 104630*p**4 + 732459*p**3 = 0. Calculate p.\nAnswer: -104637, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhsw when four letters picked without replacement from {w: 5, d: 1, s: 1, h: 4, b: 1}?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z - 215. What is the smallest common multiple of 253 and s(14)?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -99831*u + 1697135. Calculate q(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/(104\/1170)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 less than -75555406172270?\nAnswer: -75555406172292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11)*-1*6 - (sqrt(1584) - (sqrt(1584) + 2)**2)) - (sqrt(528)\/sqrt(3) + 3 + -4)*2.\nAnswer: 22*sqrt(11) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.6 - 35.42. Let g = y - -2.82. Let r = 0.1 + 0.2. Which is the second smallest value? (a) r (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*r + 6 + 61 = 0, -5*r + 5 = 0. Suppose -n = -5*c + 79, 3*c - u = -5*n + 18. Let v = c - -10. Calculate the remainder when 49 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366443.5 millennia in centuries?\nAnswer: 3664435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45156899457*y - y**3 + 45156899457*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 334 = -8*q + 76. Solve -164*y + 153*y = -q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6357*q**2 - 403*q + 52. Let h(p) = -2118*p**2 + 134*p - 16. Let k(i) = -13*h(i) - 4*o(i). What is the second derivative of k(t) wrt t?\nAnswer: 4212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 16. Suppose -3*t - 5*n - 3 = 12, -2*t + h*n = -6. Factor t + 4\/9*w + 4\/9*w**2.\nAnswer: 4*w*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -290\nAnswer: -49\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4, 0.3, 6\/32279?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 3*q**2 + 2*q - 4. Suppose 0 = -4*m - 60 - 12. Let n = m - -30. Suppose 0 = -3*z - z + n. Give s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, n: 4, d: 1}. Give prob of sequence dpp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -129028*u**2 + 4*u - 3. Let i be a(3). Let v = 728952 - 200195. Let h = i - v. What is h rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 0.3, 441240?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 16*h - 116. Solve h = -5*v + 7*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10 and 37\/190028.\nAnswer: 950140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 12, 4, 0, 1 in ascending order.\nAnswer: 0, 1, 4, 12, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let l(s) = 5 - 10*s + 1 - s**2 - 7 + 8*s. Calculate -3*b(o) + 2*l(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * 61.9.\nAnswer: -1299.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 44*i - 36 = 0. Solve 3*t + 4*o = 8*t - i, 0 = 3*o - 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y**2. Let w = -8 + 6. Let p be 1 + (-1 - w) + -1. Let a be c(p). Calculate the greatest common divisor of 30 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = u - 5*z - 27, -3*u - 55 = -2*z + 61 - 138 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -209, -321, -433?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 4, r: 5, e: 2, p: 8}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 119\/2*r**2 - 1800 + 1\/2*r**3 + 1740*r = 0.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 2*o + 2. Let n be ((-2)\/(-1))\/(-10 + 11). What is f(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -0.4 (c) -0.01395 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 37*h + 51. Let r be b(-1). What is the greatest common divisor of r and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 1028588?\nAnswer: 3085764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 23*z - 277. Let p be n(12). Is p at most as big as -2\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25517491163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 78*h - 150*h + 74*h - 38, -h = -16*b + 191 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 98873388 - 98873388.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-11286)\/190)\/(-11)*(-4)\/(16\/(-20))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7094 - -3564. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 305a + 1a?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3148 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 360*g**4 - g**3 - 360*g**2.\nAnswer: g**2*(g - 1)*(g + 1)*(g + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1\/7 (c) -0.1 (d) -0.5 (e) 2\/27 (f) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221211001012 - 3?\nAnswer: -1221211001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2177 + 0.1\nAnswer: -2176.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/36 - 556*q**5\/45 + 20683*q**4\/12 - 2738*q**3 - 996*q**2. Find u such that y(u) = 0.\nAnswer: 2\/5, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3661*i - 3667*i = -270. Solve 0 = 5*w + i - 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2276443, 4552905, 6829381, 9105877, 11382399, 13658953?\nAnswer: 15935545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + l**2)*(-4*l + l + l + (-2 - 1 + 5)*(-5 - 2*l + 5))*(-1267 - 2206 + 378) in the form n + u*l + v*l**3 + x*l**2 and give v.\nAnswer: 18570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1411517*k*w**3 - 2*k*w**2 - 12*k*w - 2*k + 29*w**3 - w**2 - 476934*w - 2 wrt w?\nAnswer: 8469102*k + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -3*u**5\/5 + 3*u**4 - u**3 - 3*u**2 + 6*u - 7. Let n(q) = -q**3 + q - 1. Let z(a) = m(a) + 6*n(a). Let z(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(100)*-2*6)\/(3*sqrt(125)*4).\nAnswer: -5 - 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3*c - 5. Suppose 33*y = -20*y + 159. Calculate h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 984499484 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*m**2 - 31*m**2 - 16*m**2)*(0 - 3 - 3).\nAnswer: -126*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -354?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Suppose -3*u + 0*y + 48 = -2*y, -4*u - 5*y + 87 = 0. Let x(c) = u - 18 + 2*c. Determine x(o(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 8212.\nAnswer: 8212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - (-37)\/(-5)) + 0)\/((-63)\/(-7350)*-5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q - 5. Determine c(8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2770571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -42 + 10. What is k in -2\/11*k**n - 10\/11*k**2 + 0 - 8\/11*k**3 - 4\/11*k = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 280 = 17*f. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110052, -440208, -990474, -1760856, -2751360?\nAnswer: -3961992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32763, 32991, 33419, 34047, 34875, 35903?\n\"Answer: 100*u**2 - 72*u + 32735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2210 is divided by 268?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 h, and 1 b when four letters picked without replacement from {h: 1, p: 1, o: 2, a: 7, b: 6}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/((-126)\/(-315))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8810399 to the power of 1\/2, to the nearest integer?\nAnswer: 2968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-11)\/(-44) + 114\/(-104)). Which is the closest to 4\/31? (a) -0.5 (b) 0.3 (c) r (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n = 84*n + 3. Suppose -1097 = n*q + 2*o, 4*q + 2*o + 835 + 629 = 0. Let h = q - -640. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/7)*g*g\/(g\/g**9) assuming g is positive.\nAnswer: g**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 316681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -51*q + 86. Let d(h) = -4*h + 1. Let w(j) = -j. Let n(r) = -d(r) + 5*w(r). Let y(x) = a(x) - 2*n(x). Differentiate y(s) wrt s.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x**2 + 5528*x + 4329. Give l(615).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26238.\nAnswer: 2, 3, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1*4\/(-16)). Let t be h - 6 - 388\/12. Let b = -34 - t. Put b, 2\/3, -2\/7 in ascending order.\nAnswer: -2\/7, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2))\/h)**9*h*h*h\/h**4*h\/(h*h\/(h*h*h**4)*h) assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/6 - (3 + 15\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 113*c**2 + 3. Let l(h) = -10395*h**2 - 275. Determine 3*l(s) + 275*z(s).\nAnswer: -110*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*n + 110, 335*y = 333*y + n + 95 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 65*k**2 + 24*k - 9*k.\nAnswer: 65*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 35, 39, -0.4 in decreasing order.\nAnswer: 129, 39, 35, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, -0.06, 29\/3, -21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -49.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 676320, 676323, 676326, 676329, 676332, 676335?\n\"Answer: 3*g + 676317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j + 176 = 0. Suppose -5*w - 5*p = -1930, -859*w = -855*w + 3*p - 1554. What is the highest common divisor of w and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.69331 decades in years?\nAnswer: 376.9331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 2 - (3 + -1 + (1 - -1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 7*w = 2*o - 72, 0 = -2*w - 3*o + 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207 or 206?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -606, 1, 0.06, 14 in ascending order.\nAnswer: -606, -4\/7, 0.06, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -0.1425.\nAnswer: 2.1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/5)\/(3\/15). Suppose -4*t = 5*h - 9, -5*h + 12 + 13 = 0. Let c = -40 - -49. Sort t, c, p.\nAnswer: t, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggqqwwqgwqqqqwqgg. Give prob of picking 1 w and 2 q.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-6 - 0\/4). Let l = 0.2 - -0.8. Which is the third biggest value? (a) l (b) 0.01 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1395 - -1384. Which is the fourth smallest value? (a) -2\/9 (b) 0.2 (c) -4\/5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7038)\/(-17) - 7\/((-28)\/(-16)). Let z = 2873\/7 - q. Find the common denominator of 114\/(-4) + (2 - 4) and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3063125?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 5. Let j = 7 + -10. Let r(g) = g**3 - g + 11. Let w be r(0). Let o(y) = 0 - 1 - 5*y - w - 2. What is j*o(a) + 8*i(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**4 - 6*w**3 + w**2 - w + 1. Let y(b) = 4*b**4 - 168*b**3 + 8830*b**2 - 17109*b + 8461. Let o(i) = 3*f(i) + y(i). Factor o(d).\nAnswer: (d - 92)**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (888\/(-592))\/((-6)\/32)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 6*w + 6. Let p be t(6). Suppose 2370 = 3*m + 2*m. Let f = p - m. What is f rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q**3 - 2*q**2 + 4*q. Let n(j) = 75*j**3 - 11*j**2 + 21*j. Let i(x) = -2*n(x) + 11*p(x). What is the second derivative of i(t) wrt t?\nAnswer: 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = 5*f, 3*t - 4*f - 4 = t. Suppose -4*b + 56 = -t*b. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5\/2, 1\/6, -1\/54, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2. Suppose -318 = -5*l + 4*a, -l + 54 = -7*a + 3*a. Suppose 0 = -j + 106 + l. Let t(i) = j*i + 173*i - 350*i. Give t(o(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -297 or -318?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - -3) + 0 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14904751, 29809504, 44714257, 59619010, 74523763, 89428516?\n\"Answer: 14904753*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209891.2 micrometers to nanometers.\nAnswer: 209891200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -7\/9 (b) -2\/3 (c) -2.7 (d) -0.3 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-155)\/(-2)*1776\/1480)\/3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**3*w + r**2*w - 36*r**2 - 147*r*w wrt r.\nAnswer: -12*r*w + 2*w - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276055 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {w: 10, j: 9}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 + 2*j - 3. Let h(s) = -s + 1. Give c(b) + 3*h(b).\nAnswer: 5*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -1692, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 - 8 = 0. Suppose 2*b + q*b = 10. Let s be ((-22)\/55)\/(b\/(-20)). Let z(x) = x**2 - 5*x + 5. Determine z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 379.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 1\/4 (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45763, -91531, -137311, -183109, -228931, -274783, -320671?\nAnswer: -366601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1228 divide 849003588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2. Let m be (-56)\/(-21) + 6\/27*-3. Let t(f) = 5*f - 6*f + 5*f + m*f. Calculate t(s(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11750 and 30315?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-u + 3*u + 0*u)*(-2 - 2 + 3) + (-3 + 2 - 1)*(-u - 2*u + 5*u) + 0*u - u - u)*(-u**2 + u**2 + u**2) as g + z*u**2 + v*u**3 + p*u and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 14 = r, 398*r - 2 = 399*r + l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*v = -125, -308*h + 307*h + 25 = -v for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fse when three letters picked without replacement from seessffssessee?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j**2 + 1. Let f(k) = k**3 + 21*k**2 + 6*k - 14. Let a(g) = -2*d(g) + f(g). What is the tens digit of a(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:05 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1085 + 1085.0001183. What is w rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10587 - -31099\/3. Let g = d - -223. Calculate the common denominator of -33\/4 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 - c**2 + 2*c + 2. Let m(t) be the second derivative of -1\/12*t**4 + 1\/2*t**3 + 0 - 44*t - 3\/10*t**5 + 3\/2*t**2. What is 2*m(p) - 3*u(p)?\nAnswer: 3*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/336 and 19\/2765?\nAnswer: 132720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55\/24 - 6937\/3048. Is -1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12039 is divided by 3005?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 116*c + 1949. What is o(-17)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101099.15 rounded to the nearest one thousand?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -0.7 (c) -0.2 (d) 708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/5)*v**2*((v*v**1)\/v)\/v**1)**(1\/56) assuming v is positive.\nAnswer: v**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/11 and 4\/8*97\/8*-2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29001428?\nAnswer: 2, 269, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*h - 199. Let x = h - 23. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4103 and 2512901.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 861980.\nAnswer: 2585940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(272) + -1 + -2 - ((3*sqrt(425) - sqrt(425)) + 3 + sqrt(85)\/sqrt(5)))**2.\nAnswer: 70*sqrt(17) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*u - 13 - 16 = 0, 3*s - 11 = 4*u. Let y(k) = -k + 1 - 9*k**2 - 3*k**2 + 10*k**2. Let d(x) = x**2 - 1. What is s*d(q) - y(q)?\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1133? (a) -2 (b) 3\/5 (c) 1\/6 (d) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -22)*2\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5024 + 5030. Let b = -8 - -13. Let z = b - 3. Put j, -3, 3, z in descending order.\nAnswer: j, 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1555156483 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*p + 883 + 169 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 11. Let x be b(5). Suppose -4*i - 8 = 2*t - 4*t, t = 4*i - x. Let l(g) = -g + 40. Calculate the remainder when l(0) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + j. Let n be m(1). Suppose n = -0*o - 5*o + 10. Let q(k) = -3 - 4*k - k**o + 4*k**3 - 2*k**3 + k**2. Determine q(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-165)*(-20)\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k - 63. Let f(n) = 1. What is 2*a(c) + 126*f(c)?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3738402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 17 - 12*r**3)*(-1 - r + 1) as h*r + z*r**4 + g*r**3 + l*r**2 + s and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 times -11.6?\nAnswer: 5614.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 154724597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 451811947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 43*o - 15. Let x(h) = 20*h - 8. What is -3*i(l) + 5*x(l)?\nAnswer: -29*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.018 (b) 5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7027166*x - 7027179*x + 14054333*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 420 + -423.08. Let m = w - -3.38. What is the nearest to -19 in m, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -10*a + 15*a. Let f(s) = 5*s**2 - 4*s + 4. Let b(c) = 4*c**2 - 5*c + 5. Let h(j) = a*b(j) - 5*f(j). Let w(v) = -2*v. Determine w(h(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193467117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62237*p**3 - 2*p**2 + 675629*p wrt p.\nAnswer: 373422*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/7 - 21930*v\/7 - 241351\/7 = 0. Calculate v.\nAnswer: -11, 21941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2801*n + 3006 - 6013 + 3007.\nAnswer: -2801*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117175446 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*1 + sqrt(68) + 5*-1*sqrt(68))\/(sqrt(44)\/(sqrt(11)*1) + sqrt(196)*2)*4.\nAnswer: -8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 247, -2, -142.\nAnswer: -142, -2, 3, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, -99, -330, -653, -1068, -1575, -2174?\n\"Answer: -46*t**2 - t + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*f - 213*f + d + 14, -5*f - 2*d = 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-24)*(-7 - -1). Let j be (-76)\/18 - u\/(-18). Let t = j + 63. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6530312 and 19590936.\nAnswer: 19590936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 59*o + 678. Give g(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 4.\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 437 = 10*i. Let u = i + 185. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*a + 10*a. Calculate the remainder when 24 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -687 + 686.99997365. What is m rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 29. Let m be d(0). Let y = -24 - m. Suppose 2*u + 6 = -4*i, -y*i - 23 = -3*u - 3*i. Solve -4*a = a + u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 37*c**2 + 2*c - 2. Let k be t(2). Let q = -91 + k. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Suppose -27 = -m*x - 7, -2*u + 5*x = 9. Calculate the greatest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224433 is divided by 354.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 1716 - 1694. Calculate the lowest common multiple of 4\/(-6) - 72\/(-27) and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -3*b**3\/2 - 161*b**2\/2 - 21*b - 142. Let s(y) be the first derivative of u(y). What is the derivative of s(g) wrt g?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 14*z**2 - 13*z - 2. Suppose 2*p - 5 = i, -5*p + 6 = 5*i + 1. Suppose 26 = -0*a - p*a. Let c be t(a). Sort -6, -3, c in descending order.\nAnswer: c, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12a3a0 - 0?\nAnswer: 12a3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -30*k**2 + 1215*k + 6080. Give v(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**4 + h**2 + h. Let x(b) = -47*b**4 - b**3 - 337*b**2 + 6*b. Let u(o) = -6*w(o) + x(o). Find the third derivative of u(g) wrt g.\nAnswer: -840*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 78*y + 1. Let m be z(-1). What is the remainder when 108 is divided by ((-44)\/m)\/(2\/49)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 275714?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from {s: 2, e: 2, h: 2, j: 5, y: 3, c: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -90. Suppose v*k + 108 = z + k, -3*z + 5*k + 332 = 0. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18a7a - 15a87?\nAnswer: -32945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7 = 5*r, 6 = -r - r. Solve k = 9*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 - l - 10. Let y be s(8). Find the common denominator of 39 and 9\/21 - y\/(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953186273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-2*-3*-4)\/(sqrt(490) + sqrt(490) + (-2*sqrt(490) - sqrt(490)) + sqrt(490) + sqrt(1440)*1) + -5.\nAnswer: -2*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3948, 3896, 3844?\n\"Answer: -52*h + 4000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -232306 - 5265?\nAnswer: -240604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 2*s**2 + 0 - 4*s - 2*s**3 - 2*s**2 - 2. Let h(l) = -2*l**2 + 4*l + 13. Let f be h(-2). What is g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-4))\/((-1)\/4). Suppose 2*h - 112 = 4*f, 5*f + 164 = -0*h + a*h. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 16*w**2 + 14*w - 11. Let g be y(15). Let b be (-4)\/(-8)*g\/(-65). Determine r so that -2\/5*r**3 + 3\/5*r**2 - b*r + 0 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7488, 18985, 30482, 41979?\nAnswer: 53476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 284*q - 117. Let o(j) = -95*j + 39. Let i(g) = -21*o(g) - 6*s(g). Let m be i(17). What is m rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 - -2. Let w = -1.4 + g. Which is the biggest value? (a) 0.3 (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a615 (base 12) to base 13\nAnswer: 2a773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgjgjjjjjjjg. What is prob of picking 2 g and 1 j?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26 (b) -1\/7 (c) 5 (d) 3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4510297 and -15.\nAnswer: 67654455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:41 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19806224 and 1632.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 592021?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**4 + 190*t**3 + 5774*t**2 + 53246*t - 131070. Let c(i) = i**3 + 7*i**2 - i + 1. Let n(r) = -2*c(r) + f(r). Find u, given that n(u) = 0.\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m - 0. Suppose -a - 5*h = -9, m*a + h - 12 = 24. Suppose -25 = 5*d, 0*d - 5*d = -2*y + 45. What is the remainder when a is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 67960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1297.355853 to 1 decimal place.\nAnswer: -1297.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 180 = 44*v, 0 = -3*j - 3*v - 8 + 10 - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (808\/(-6464))\/((-20)\/(-16)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 576e6 - -2?\nAnswer: 576e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 519 + 4?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 22*t - 10. What is the remainder when m(4) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by -355.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 66 = -3*x. Let y(b) = -21416 + x*b**2 + 21416. Let i(q) = 13*q**2. Calculate i(y(v)).\nAnswer: 1573*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**9\/168 + 9*q**6\/10 - q**5\/15 - q**4\/2 - 445*q**2 + 1. Find the third derivative of i(m) wrt m.\nAnswer: -360*m**3 + 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 7 - 7 = -2*r, 0 = -5*r - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -22\/5*d**2 + 0 + 6*d**3 - 8\/5*d = 0. Calculate d.\nAnswer: -4\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*k, 5*w + 5*k = 12 + 3. Let j be 85*(-7)\/((-70)\/w). Suppose -j + 241 = 3*v - c, 4*v - 3*c = 260. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5154 is divided by 736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**4 + 5*x**3 + 3*x**4 + 86*x**2 + 3*x**4 - 85*x**2 as i + n*x**3 + j*x**2 + w*x**4 + h*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7\/21)\/(1 + -3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0 + 17*q + 21*q - 52*q + 15*q + 4. Let c be (-26)\/4 - (-1)\/2. Calculate w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:06 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.4, 2\/9, -146, -0.3?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -4. Suppose -48 = -4*r - 2*w, 3*r = 4*r + v*w - 12. Solve k**4 - 8*k**3 - k**4 + 2 - 3*k**4 + r*k**2 - 8*k + 5*k**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 16*l**2 + 26*l - 1230. Let u(n) = -13*n**2 - 20*n + 1233. Calculate 3*q(w) + 4*u(w).\nAnswer: -4*w**2 - 2*w + 1242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**2 + 233. Let n(c) = -121*c. Give v(n(t)).\nAnswer: -87846*t**2 + 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - -1. Let s = -18 + y. What is the highest common divisor of s and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/4 + m**3\/3 - 3*m - 280. Give f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938389187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (55\/20)\/((-1)\/4). Let d(u) = u**2 + 11*u + 4. Let f be d(t). Suppose 4*b - f*x - 756 = 0, -2*b = x - 0*x - 384. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1100 + -1099. What is the smallest value in w, 0.5, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8333 + 8331. Which is the nearest to 2\/35? (a) l (b) -165 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -1. Is z not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7922110*c**3*g + 4*c**2*g + 146*c*g + 1246*g + 1 wrt c.\nAnswer: 47532660*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 0.0119.\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -24*x + 40. Let w be y(7). Let n = w + 224. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -827832 by -24348.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times -3304?\nAnswer: -7268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.58. Let y = 6.2 - 5.08. Let f = z - y. Which is the nearest to 1? (a) 4 (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 2*a**3 - 17*a**2 + 0 + 0.\nAnswer: 2*a**3 - 17*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 + -2 + 2 + -5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*h, -4*m - 4*h - 8 + 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3586 (base 13) to base 7\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 9732?\nAnswer: -9739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 1. Let b be y(-2). Let f be ((-2280)\/b)\/((-3)\/(-450)). What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {c: 3, f: 1, b: 1, u: 1, j: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/70*(95 - 4). Sort -4, -2, v in increasing order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3194047.\nAnswer: 3194047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - x**2 + 4*x - 1. Let p be h(-3). Let b be (3 - 3)\/(5\/(-15)*3). Suppose b*o = 2*a - p*o - 85, -2*a = 3*o - 93. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 7777, 2, -4, -7, 3\/8, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*y - y. Let r = 2 - 0. Let t(z) = 746*z - 752*z + 3*z**2 - z**3 + 4*z**r + 9. Give t(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 4021*g**2\/2 - 74*g - 338. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 7*c - 10. Let t(r) = 5*r**2 - 27*r - 41. Let p(k) = -9*j(k) + 2*t(k). What is p(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -122238, -244459, -366680, -488901, -611122, -733343?\n\"Answer: -122221*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*i - 9 + 8, -3*i = -p + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8749 divided by -2?\nAnswer: -8749\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2285 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -2267916, 2\/5, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(525) - (sqrt(525) + (sqrt(525)*2 + sqrt(525) - sqrt(525))))\/sqrt(7) + 3).\nAnswer: -40*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + 3 + 3*sqrt(3))**2 + (sqrt(363) - 1*sqrt(363))**2 + ((sqrt(3) + sqrt(192))*1)**2 + 0.\nAnswer: 54*sqrt(3) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19124 and 22.\nAnswer: 210364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -781 - -25774\/33. What is the third biggest value in -0.2, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 2*p**2 + 179*p - 911. What is b(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/15*(0 - (-2)\/(-3)). What is the third derivative of 20*a**p - 94 + 94 - 40*a**4 wrt a?\nAnswer: -960*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - w**2 - 2*w - 4. Let m be b(-2). Suppose 3*o = -j + 4*j + 27, m*o = j + 36. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 + x**2 - 4. Let j = 59 - 55. Let t(b) = 4*b**3 - 2*b**2 + 5. Determine j*t(p) + 5*l(p).\nAnswer: p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 take away 66225?\nAnswer: -66258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 84 = -2*s + 5*a, 0 = 4*s - 2*a - 138. Calculate the remainder when 119 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4543*f + 72689. Give x(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29053 is divided by 2005.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30955?\nAnswer: 5, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 7*t - 1. Let v be g(6). Let y be 8 + -6 + (-6)\/2. Put y, v, -2 in decreasing order.\nAnswer: v, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -26. Let p = 3.2 - 0.2. Sort p, 1\/4, c.\nAnswer: c, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4770, -6665, -8560, -10455, -12350, -14245?\nAnswer: -16140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 13*j**2\/2 - 3*j - 7. List the prime factors of a(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*h + 19 = 3*h, -4*k + 43 = 3*h. Suppose -5*s + 3 + 17 = 0. What is the remainder when k is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o**2 - 21*o**2 + 0*o**2 - 11*o**2.\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -63*g**5\/5 + g**4\/12 + g**3 + 99*g**2\/2 - 153*g - 7. What is the second derivative of n(p) wrt p?\nAnswer: -1512*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14915 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, i: 1, z: 10}. Give prob of picking 2 z and 2 h.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036727302 to 6 decimal places.\nAnswer: -0.000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 954 = 2*o - 0*w, 5*w = 5*o - 2365. Suppose 4*n + u = o + 147, -3*u = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m - 54 + 54)*(-1 - 2 + 1) + (-1 + 0 + 3)*(2 + 2*m - 2).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 4*y - 8, -4*d - 89 = y - 91 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 44. What is the closest to d in -5\/4, -2\/3, -0.2, -36?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/391 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/9 - 720226*t\/3 - 2160669 = 0.\nAnswer: -2160669, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 256182*y - 5469101427.\nAnswer: -3*(y + 42697)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222 - 220. Suppose -f + 5*f + 48 = 0. What is the smallest value in s, -2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299 - -301. Solve x*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + (-2)\/(-5). Let v be 0\/(-1) + (-4)\/24. Which is the closest to t? (a) 1 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -3, 11 in increasing order.\nAnswer: -31, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(47\/(8460\/(-405))).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, i: 1, t: 2, m: 2}. What is prob of picking 2 t and 1 i?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787608353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**6 - 91433*v**4 + 220857*v**2.\nAnswer: 240*v**3 - 2194392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 192 + 64 = 0. Suppose 2*i = m - 17, 3*i - 4*m + q = -i. Calculate the smallest common multiple of (-12)\/i + 280\/15 and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from xxcbbbcxucxqbcbbvbbu?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(27\/(-6) - -3). Suppose t*w = 2*w + 7. Let s = 7 - 4. Solve -2*f = 5*v + 26, -2*f - s*f - w = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15315 or -995531\/65?\nAnswer: -995531\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.076147878 - 0.076085. What is q rounded to six dps?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -22*o + 38 - 59 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-10)*46\/(-69). Let z(x) be the first derivative of 2\/3*x**3 + 1\/3*x**6 + 1 - 1\/2*x**4 - b*x**5 + 0*x + 0*x**2. Factor z(t).\nAnswer: 2*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 7*m**2 - 6*m. Let a be n(6). Suppose 4*q = -a*q + 56. Differentiate 8*l**2 - 10*l**2 - q*l**2 + 24 with respect to l.\nAnswer: -32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 6*g + 4. Let a be s(4). Suppose 80*r + 6 = 166. Suppose 2*d**2 - 96*d + 8*d**2 + a*d**3 + 92*d + r*d**3 = 0. What is d?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*j - 248 = 0, 5*r - 2*j - j - 314 = 0. Let k(v) = 3*v**2 + 23*v + 124. Calculate the remainder when k(0) is divided by r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9910*w + 9382*w + 19008 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from cvxxxyoyyvcvyyxx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033059 to six dps.\nAnswer: -0.000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 17818. Let l(u) = -1342*u. Determine l(b(a)).\nAnswer: -1342*a + 23911756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-72)\/33 - (-42)\/(-11). Let k be (a\/(-5))\/(6\/45). Let i = -154 - -166. Calculate the highest common divisor of k and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -587426700 to the nearest 1000000.\nAnswer: -587000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -24 + -24 + 95.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1527\/286 - 4513433\/4862. Let r = 251 + -1184. Let s = y - r. What is the common denominator of -29\/7 and s?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/24 + 3*n**3\/2 + 3*n**2\/2 - 2. Let a(y) be the second derivative of h(y). Let b be a(-4). Solve -t + 12 = -b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/12 + (-1 - 25\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0652 - -3.9348. What is the third smallest value in l, 21, 0.3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 + 2*o - 73. Let z(i) = -3*i**2 + 3*i - 71. Calculate -3*x(l) + 2*z(l).\nAnswer: 3*l**2 + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbhhb. What is prob of picking 3 h and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 28, 39, 56, 79, 108?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24687280 rounded to the nearest ten thousand?\nAnswer: 24690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 13203 - 13203 - 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 186411.12 months?\nAnswer: 1553.426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*v + v = -5, 0 = 5*q - 4*v - 45. Suppose -q*p - 2025322 = 1874678. What is p rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 53 - 12*v**2 + 11*v**2 - 87 + 3*v + 4*v**3 to the form o*v**3 + n + y*v**2 + a*v and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9363.000036502 + -9363. Round t to six decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k\/k**(-4)*(k*k\/(k*k*k**(-1\/2)*k*k*k))**(-21\/5))\/(((k*k**(-1\/4)\/k)\/k)**(2\/41))**(-47) assuming k is positive.\nAnswer: k**(559\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 51 = -16. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42034 plus -4?\nAnswer: -42038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3137511565.\nAnswer: 5, 173, 3627181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 - -73. Let a = 33 - x. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t + 1\/6*t**5 + 0*t**3 - 4\/21*t**7 - 172*t**2 - 5\/84*t**8 + 5\/24*t**4 - 1\/8*t**6 + 0. Determine p, given that r(p) = 0.\nAnswer: -1, -1\/2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1156, 2649, 4142, 5635, 7128?\n\"Answer: 1493*r - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3024\/90 - 3) + -38\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 90 = -5*d - 5*h, 3*h - 6 = -d. Let n = d + -20. Let y be n + (6 - 4 - (-7)\/(-3)). What is the third smallest value in -3\/5, -3, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 7 + 1 - 16*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/((-1047816)\/(-22)))\/((-1)\/(-8))?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008034 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tqqjqtjxxttt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 3, -3*u - 19*j + 12 = -24*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 60*g**2 - 2216*g - 14323. Give z(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Suppose 0*s = m*s - 10. Suppose 4*y = s*f - 42, -3*f = f - y - 38. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/(-513))\/(2*(-1)\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(198)*-1)\/sqrt(9))\/((-4*sqrt(14))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86250114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l**4 + 964*l**3 + l - 2*l**4 - l**2 - 967*l**3 to the form a*l + c*l**4 + s + d*l**3 + z*l**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -714003.53 rounded to the nearest ten thousand?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1560\/(-5852) + (-4)\/(-14). Let g = f - -1\/38. Find the common denominator of g and 17\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65653 (base 10) in base 12?\nAnswer: 31bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -31680\/23, 1?\nAnswer: -31680\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414218 divided by -471406?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand l - l - 2*l**2 + (-2 - l + 2 + (6*l - 3*l - 2*l)*(-3 + 4 - 2) - l + 1 - 1)*(-3 + 3 + l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 877 and -0.4?\nAnswer: -350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 438 (c) -1 (d) -1\/2 (e) 0.3 (f) 0.367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005965.\nAnswer: 3, 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 - 1208 = -172*l + 330. Solve -l*r - 14 = 28 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 8604.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 69*k = 294 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -312121 (base 4) in base 15?\nAnswer: -1071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-156)\/(-520))\/(3\/5 + 3).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + v - 1)*(-951*v**2 + 42*v**3 + 19*v**3 + 946*v**2) in the form y*v + q*v**4 + j*v**2 + r*v**3 + d and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*l**3 + j**3*l - 10*j**2*l - 62*j*l**4 + 5*j*l - 5*l**2 wrt l.\nAnswer: 12*j**3*l - 744*j*l**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 - 24 = 0. Let i = 27 - 12. What is the highest common factor of s and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*d. Suppose -n - d*i + 2 + 1 = 0, 4*n - 28 = 4*i. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11204142337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -67*f + 235. Solve -4*l - 13 = 5*d, -3*l - f*d = -10*d - 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1042 or -21883\/21?\nAnswer: -1042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136149331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 12. Suppose -k*o = 2*o + o. Solve -4*g - 5*p - 23 = 0, o = -g - 0*g + 4*p + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41977, -83948, -125919, -167890, -209861?\n\"Answer: -41971*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*l + 1449, -l - 478 + 109 = -t. What are the prime factors of t?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-999)\/243 - 2\/(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41438500 and 7700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/462*-4)\/(125\/75)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 5*i - 3*i, -1988*i + 2003*i = -2*h + 160 for h.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f + 24. Let r(j) = 7*j + 12. Let a(k) = 6*k + 11. Let t(u) = 4*a(u) - 3*r(u). What is 2*s(v) - 7*t(v)?\nAnswer: -v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*c + 19*c = -43*c + 315 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let h be (k\/9)\/((-1)\/(-6)). Suppose -2*n = -8 - h, 25 = 5*v + 3*n. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 60*i - 296. Is q(-22) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2163348 and 92?\nAnswer: 49757004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38817*x**3 + 16621 wrt x.\nAnswer: -116451*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.1, 1\/6, -2.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -892 - -896. Put -3, 0, q, 28 in decreasing order.\nAnswer: 28, q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) - (sqrt(720) - 2*sqrt(720))*-3)\/(sqrt(12) + sqrt(1452)*1))\/(sqrt(84)\/(sqrt(7)*-1) - sqrt(12) - 1*sqrt(192)))**2.\nAnswer: 5\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -394 (c) 6 (d) 3 (e) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 339799*j**4*n + 2*j*n + 38*n - 100 with respect to j.\nAnswer: 1359196*j**3*n + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 119 - 113 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 39085 = -3*u + 6*u, y + u - 7817 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 13*o**2 + 5*o + 10. Let n be t(7). Let w be 1\/(n - (-26)\/6). Suppose -w = 4*r - i - 12, -4*i + 2 = 3*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, y: 2, r: 1, q: 3, f: 1}. What is prob of sequence yfqq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 936 and 4767.\nAnswer: 1487304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3402))\/(sqrt(54)\/(sqrt(9)*-2)))**2 + sqrt(84)\/(sqrt(60)\/(sqrt(5)*-2))*-2.\nAnswer: 4*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21676\/5 + -26767\/10. Let c = -1691 + b. Find the common denominator of -83\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4128 and 57\/3913?\nAnswer: 375648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*n - 14*n + 11*n - 1 + 1 + 2*n + (1 + 0 + 1)*(-2*n - 1 + 1).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 332*d**2 - 10863*d - 198. Determine c(194).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 274 + 170 = 0. Let w = i - -23. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20700)\/27)\/(-20) + -15)*9\/6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89345331 to the nearest integer?\nAnswer: 9452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*t + 101*t - 16 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.7 + -19.234. Round u to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/((-22)\/(-957)). Let n = z + -29. What is v in 4\/7*v**2 - 2\/7*v**4 + 0*v**3 - 2\/7 + n*v = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.29 - 0.23. Let r = 0.05 - 0.108. Let d = s + r. What is d rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204851147 to the power of 1\/2, to the nearest integer?\nAnswer: 14313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12702 = 11*h - 9793. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1217*s + 29952 = -4456*s + 54117 + 89295 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.081 + -0.019. Which is the closest to 1? (a) 3 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849918 is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:23 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5006 - 4923. Calculate the remainder when 262 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y. Let z(l) = 240*l**2. Let c(g) = 17*g**2. Let i(b) = 85*c(b) - 6*z(b). Determine q(i(s)).\nAnswer: 35*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102675, 205378, 308081?\nAnswer: 410784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.3 and -4070.\nAnswer: 45991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-2)\/(-2))\/1*2 + 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*o - 2*a, -96*o - 46 = -95*o - 9*a for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i + 2. Let y be f(0). Suppose 0 = -2*l + k + 7, 0*l = y*l + 4*k + 8. Suppose 0 = -s + l. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + (21 - -126) + -112.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 2*z - 5. Let p = 1 + 4. Is n(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 20*c - 1. Let o be n(1). Let y = o + -11. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9 + (-49)\/(-3). Suppose -4*k + 0*k = -g. Suppose -i + k*i = 531. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245301 (base 9) to base 2.\nAnswer: -100100001100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 9. Let q = 1879\/7 + -269. Which is the second smallest value? (a) -3 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4902655*z**2 - 9010*z - 26 wrt z?\nAnswer: 9805310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36894)\/(-9460)*(-50)\/5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r = 980 - 875 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13\/(-87))\/((-19)\/(-3)). Let i be ((-8)\/116)\/((-456)\/(-117758)) + -3. Let x = m + i. Find the common denominator of x and -43\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276395003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35.65 and -197.7089912.\nAnswer: -233.3589912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - ((-4 - -20 - 34) + 14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5728 and -39\/32?\nAnswer: 5728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/(-850)*6\/18.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 251, 974, 2177, 3860, 6023, 8666?\n\"Answer: 240*p**2 + 3*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*h + 9*h**3 - 98*h - 6*h**3 + 12*h**3 + 53*h + 9*h**2 in the form v*h**2 + t*h + g*h**3 + x and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2\/22 + (-357)\/(-187) - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**3 - 2*x**2 - x. Let g be m(-1). Let f = g - -15. Sort -4, f, -6 in descending order.\nAnswer: f, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 38*l**2 - 37*l + 27. Suppose 19 = -g - 18. Let m be w(g). Calculate the highest common factor of m and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/342 and 13\/25848.\nAnswer: 491112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.36 - -2.56. What is the biggest value in 67, b, -8?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56696 and 84792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-2541.\nAnswer: 762.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1294421 and 4709?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1320612?\nAnswer: -1320610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -47?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12366*u - 12263*u + 143 = -63 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2737651598?\nAnswer: 2, 11, 124438709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1536255, 1536258, 1536263, 1536270, 1536279, 1536290, 1536303?\n\"Answer: m**2 + 1536254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/25 + ((-209)\/30 - (-4)\/24) + 0?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.3 (b) 3\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322403696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 - -5.09. Let l(a) = -2*a + 9. Let v be l(6). Let f = -3106 + 3105. What is the closest to y in v, f, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((6*-1*sqrt(204) - sqrt(204)) + 1*(sqrt(204) + sqrt(204)*2 + sqrt(204))))\/(-3*sqrt(1200)*-2*1).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 5, m: 2}. Give prob of sequence mm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o + 25*o + 10*o**3 + 4*o - 18*o.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -512043 - -3?\nAnswer: -512040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 - (-12 + 17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1680308*r**3 + 3*r**2 - 2*r + 93875830 wrt r.\nAnswer: 5040924*r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(-20)*(d**(-3)*d)**(11\/2) assuming d is positive.\nAnswer: d**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184 + -124. Let y = 55 - q. Let j(b) = b**2 - 7*b + 6. Let s be j(6). Put y, s, -2 in decreasing order.\nAnswer: s, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**2 + 0*x**2 - 3*x**2 - 2)*(-2*x**2 - 4*x**2 + 4*x**2) + (1 - x**3 - 1)*(x + x + 0*x).\nAnswer: 20*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {u: 6, h: 3, g: 1, w: 4, r: 2, l: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45000 and 1372500?\nAnswer: 2745000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1043320 divided by -11.\nAnswer: -1043320\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 21*x + 17*x + 4 = 0, x = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3190*k**2 - 3186*k**2 + 6365*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4934\/(-840) - (-6699)\/1218 and -11\/63.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/63*-14*14\/672.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13870 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21372804 is divided by 780?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 4. Let s(p) = -241*p. Give s(z(t)).\nAnswer: -241*t - 964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2. Let d be m(1). Let o = d - -25. What is the remainder when o is divided by 15*(-2 - -3)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f + 45*f = 30 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*((l*l**2)\/l*l)\/l)*l**(-3\/5))\/(l*l**6*(l\/(l\/l**(-5)*l))\/l) assuming l is positive.\nAnswer: l**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 12 = 2*i - 0*i, 0 = y + 2. What is the second derivative of 2*m**2 + 4*m**2 + 0*m**i + 4*m wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**3. Let i be r(1). Let f(m) = -8*m + 4*m**2 + 19*m - 5*m**2. Let u be f(8). What is the greatest common factor of u and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 4*n**4\/3 + 3*n. Let y(s) = 54*s - 2. Let m(i) = -1088*i + 40. Let f(x) = -m(x) - 20*y(x). Give f(w(j)).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 8. Let v(q) = -2*q**2 + 6*q + 8. Let c(t) = 2*t**2 + 423 - 214 - 5*t - 216. Determine r*v(n) - 6*c(n).\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12*(-1)\/84)\/(2\/14). Let r(j) = 3*j + j - 3*j - 7 - 2*j. Let q be r(-9). Sort -6, 5, q, v in ascending order.\nAnswer: -6, v, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/2 + 7619*m**4\/2 + 499401*m**3\/2 + 453673*m**2\/2 - 1218010*m + 737664 = 0. What is m?\nAnswer: -64, -3, 1, 7684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4648 divided by -4648\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(sqrt(108) + -2 + 3)*-2*1)**2.\nAnswer: -24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 5 (b) 8 (c) -2\/7 (d) -5 (e) 4.349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7734896 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41505, -41509, -41515, -41523?\n\"Answer: -t**2 - t - 41503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 1\/8, -0.4, 1\/2 in descending order.\nAnswer: 1\/2, 1\/8, -0.12, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 9*y - 7. Let x be i(2). Let h(b) = b + b + 3*b - 16 - 4*b. Calculate h(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5021 - 5023. Let t = -14.9 - -15. Which is the second biggest value? (a) 2 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5 - 3*j**4 + 7*j**3 + 15*j**2 - 18*j = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 16) to base 15.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - t - 21. Suppose -t*y + 5*y - 4*b = -4, 4*y - 8 = 2*b. Solve -y*a - 14 = -4*k, 4*a = 2*k - 6*k + 32 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 13*q**2 + 3*q - 51. Give h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-3 + 6 - (-424)\/(-142)). Let k = -649 - q. Let l = -3236\/11 - k. Which is the closest to 1? (a) l (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970757.6 millennia to months.\nAnswer: 11649091200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 147\/(-51) + (3 - 0). Let k = -1.2 - -6.2. Let s = k - 1. What is the biggest value in o, s, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3961, 0.4, 0.7, -2 in ascending order.\nAnswer: -2, 0.3961, 0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -28*p + 1. Let i be m(-3). Suppose -a + 35 = -i. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 147, 1, -20, 212 in ascending order.\nAnswer: -20, -10, 1, 147, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*w**3 + 405165*f**2*y + 9*f*w**3*y - 4*f*w**3 + 54*f*w*y - 3*f*w - 2*w wrt f.\nAnswer: -2*w**3 + 810330*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {h: 3, j: 2, u: 1, g: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5985 + 5943 = -21*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.9 and -4985730729.\nAnswer: -4985730727.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/3 - 56665*q**2 + 484037565*q - 122204435825\/3.\nAnswer: 5*(q - 16957)**2*(q - 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 5*a - 5. Let t be l(-4). Let y be (-2 - t)*(-2)\/(-6). Let f = 2\/305 - -592\/2745. Put y, f, 4 in decreasing order.\nAnswer: 4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -41 + 13. Is 12027\/21 + 4\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -1\/12*q**4 + 0 + 1\/3*q**3 + 9*q - 2*q**2. Determine c(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/4 + 2*m**3\/3 - m**2\/2 - 19*m + 2. Let p be g(0). Let u = p - -99. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -5.2?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 + -81. What are the prime factors of 6\/(-4)*(-4152)\/a?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*1959209.\nAnswer: 58776.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 220 = -2*g - z, -z + 275 = 5*g. Suppose g - 7 = 4*w. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 829698*w + 392285 wrt w.\nAnswer: 829698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -320.71 and -0.6.\nAnswer: 192.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/16)\/((u*(u*u**(2\/17))\/u*u)\/u*u))\/((u\/(u**(-1\/17)*u*u))\/u**(-11)) assuming u is positive.\nAnswer: u**(-3295\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 1\/3181 (c) 1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aavw when four letters picked without replacement from aavwvvvaawva.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4188 and 66587804.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 206300.\nAnswer: 412600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.235 + -8.635. Sort j, -3, 3\/2, 31, 3 in increasing order.\nAnswer: -3, j, 3\/2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4556 = 4*f, -3*q - 24*f + 6866 = -22*f. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152*g**2*t - g*t**2 - 7*g*t + 24387*t**2 wrt g?\nAnswer: 304*g*t - t**2 - 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:55 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 13. Suppose -2*p + 13 = 1. Calculate the remainder when j - (-1)\/((-12)\/(-15))*20 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 72305 and -4.\nAnswer: 72301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnniiiiiin.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.22 in -3, -2\/7, -0.02, -0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t + z - 321, 5*t - 840 = 5*z. Suppose r = 321 + t. Let v = r - 267. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2198, 2201, 2214, 2243, 2294, 2373?\n\"Answer: s**3 - s**2 - s + 2199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*n = 5*n, -4 = 2*l - 4*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214*21\/(-14)*-3 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 + 7055*y**2 - 56200*y + 112240 = 0. What is y?\nAnswer: 4, 1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 797\/2 at least as big as 400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/25285156 and -127\/260?\nAnswer: 126425780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7 + 2 = 0. Let v = 2.05 + -1.65. Let c = 1 + -3. What is the second biggest value in o, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/7 (b) -6998 (c) -2\/243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*v + 32, 0 = 4*v + 2*u + u - 4. Suppose 28 + 92 = v*n. Solve 0 = -5*i - y - n, -4*i - 4*y - 25 = -3*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**8\/10080 + w**7\/945 + w**6\/216 + w**5\/90 - w**4\/3 - 3*w. Let r(x) be the third derivative of n(x). Factor r(h).\nAnswer: 2*(h + 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 95874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 1. Let k(j) = -2*j - 5. Let r be (3 + 3\/(-2))*2. Let f(c) = c + 5. Let z(p) = r*f(p) + 2*k(p). Let b be z(10). Calculate d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660122611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2) - (2 - 2). Is 4932\/15 + f\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c + 2*c)*(4 + 0 - 2) - 2*c - c - c - 4*c - c - 16*c.\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 27.003. Let b = -6.003 + y. Let m(t) = t**2 + 3*t. Let g be m(-3). What is the closest to -1 in b, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -96\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 + 7*q**3 + 83341*q**2 - 83341*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: -1 * -636.566\nAnswer: 636.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from ugaxapjgp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 3*l - 4. Suppose -6 = 4*k - 22. Suppose -3*b - 1 = -k. Let a be -1 + b + 6 + -2. What is o(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -544*l**3 + l**2 - 13*l - 14. Does 15 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/29? (a) 0.0396 (b) 1\/5 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 13, k: 6}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 0*p + 1\/4*p**4 + 13\/3*p**3 - 72 + 1\/6*p**6 + 0*p**2 + 0*p**5. Find the third derivative of n(w) wrt w.\nAnswer: 60*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 532, 774, 1000, 1204, 1380?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*k - 1818, 5*k + 8*i - 6*i = 2271. Let d = k + -351. Which is greater: d or 98?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Suppose c + 18 = 3*c. Let t(n) be the first derivative of 5*n - c - 4*n - n + 5*n**2. What is t(u(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 7:42 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -25. Solve o*d - 16 - 9 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17470672 and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -14. Suppose 5*h + 4*n = 2*h + 5768, 4*n = j*h - 3832. What is h rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*w - 60*w + 243. Factor 11\/8*r**w + 0*r + 1\/4*r**2 + 9\/8*r**4 + 0.\nAnswer: r**2*(r + 1)*(9*r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18982 is divided by 60?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*r**2 - 87*r**2 - 90*r**2 + 18*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86883371, 86883376, 86883381?\n\"Answer: 5*u + 86883366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1004, -1011, -1022, -1037, -1056, -1079?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 6. Let h = -7 - f. Let g = 1836 - 1836.1. Sort h, 4\/3, g in ascending order.\nAnswer: g, 4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 47. Let h = 27 + n. Calculate the greatest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63299, 126599, 189901, 253205, 316511, 379819, 443129?\n\"Answer: w**2 + 63297*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 4. Suppose -j*v = 8 - 23. Suppose -3*k + 3*g = 0, v*k + g - 10 = 2. Which is the nearest to 1\/3? (a) k (b) -1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3)*p)**5*p\/p**(5\/3)*p\/(p*p**(1\/2)\/p)*p assuming p is positive.\nAnswer: p**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + 9*j + 6. Let x be f(8). Let i be ((-2)\/2)\/(2\/x). Let u = i - 17. Calculate the greatest common factor of 64 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) - (-7885)\/(-20). Let f = 586 + q. Suppose 5*w = 3*o + 277, -3*o + f = 4*w + 2*o. Calculate the remainder when w is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*n - 14*n - 36 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385566 and 303942.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(20\/9)*(j*j**1)\/j*j*((j*j*j**(-4\/7))\/j)\/j*j assuming j is positive.\nAnswer: j**(433\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 311 - 140. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h + 3. Let d be b(-1). Let v = 0 + -3. Put v, 0, d in ascending order.\nAnswer: v, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 3. Let z(y) = -5*y + 2. Let x(f) = 6*m(f) + 5*z(f). Let p be x(-12). Sort 2, p, -3, 0 in decreasing order.\nAnswer: p, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*d - 76, 2*w = 3*w + 4*d - 48. Find the second derivative of -w*g**5 - 28*g**5 + 16*g**5 + 106*g + 102*g - 13*g**5 wrt g.\nAnswer: -1780*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = 5. Let z(q) be the first derivative of q**4\/4 + 4*q**3\/3 - 3*q**2 + q - 5. List the prime factors of z(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, 2, -1, 21, 4.38, 2\/7.\nAnswer: -220, -1, 2\/7, 2, 4.38, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125148?\nAnswer: 2, 3, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*k - o - 0, 2 = 3*k - 5*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109556 rounded to the nearest 10000?\nAnswer: 2110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4169 - 2437. Suppose 0 = 34*s - 30*s - h. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**3 - 6*u**2 + 4*u - 4. Let k be y(2). Solve -k = -4*n, 3*n + 6 = -2*b - b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4 - -1)*-2. Let g = d + 9. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -338032 (base 9) to base 7\nAnswer: -1502636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -12*a**2 + 194. Let k(t) = 49*t. Determine 6*k(s) + 11*o(s).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165640 divided by -4141?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-5) - 3\/5. Let u = h + 4. Solve u - 10 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*-3 - (-2346)\/23 is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17198797403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-3*a - 2*a + 4*a) + (4*a - 2*a + 0*a)*(-3 + 0 + 0) - 71 - a + 71.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20703 - -8013. Let n = p + -13703. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 2253500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3584*z = 3585*z - 14, 0 = 2*s - 4*s + 10*z - 124 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529628147 a multiple of 7682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -491, 64, 67, -2, 2, -3\/4 in decreasing order.\nAnswer: 67, 64, 2, -3\/4, -2, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - p = 36, -1 = -p - 4. Let s(x) = x**3 - 11*x**2 + 2*x - 12. Calculate s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 28 = 7*g. Solve -4*q + s + 3 = g, -5*s = 4*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -4.2. Let f = 2 + s. Let l = 12 + -17. What is the nearest to f in -0.5, 4, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 4\/(-8)*(-6 + (-15 - -85))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 35 = 2*l, -k - 5*l + 30 = -2*k. Let n(w) = -9*w + 4. Let i(t) = 10*t - 5. Let q(x) = k*n(x) - 4*i(x). Let m(r) = -r - 396 + 396. What is q(m(z))?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 5*v**2 - v + 7. Suppose 14 + 16 = 3*q. Let u(f) = -f**3 + 8*f**2 + 19*f + 10. Let h be u(q). Let m be -1 + ((-4)\/1 - h). Give x(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7900685.4 times -3\nAnswer: -23702056.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + sqrt(891)*2)*-6*-3)**2.\nAnswer: 2099520*sqrt(11) + 41862096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - (sqrt(17) + (sqrt(51)\/sqrt(3) - sqrt(17)))**2*-2) + sqrt(17) - sqrt(85)\/((sqrt(5)*-2 - sqrt(5)) + sqrt(5)).\nAnswer: 7*sqrt(17)\/2 + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1438 - -1580. Which is smaller: -18 or h?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:12 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -227a410 (base 11) in base 9?\nAnswer: -7437546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 178*d. Let f(z) = 4*z. What is r(f(i))?\nAnswer: 712*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(208) - 3*2*sqrt(208) - sqrt(208))**2.\nAnswer: 7487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 11:14 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 661 divided by 104875\nAnswer: 661\/104875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3023 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 19 = -2*c + 12, -15 = 5*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 41. Let k(l) = -l**3 - 6*l**2 - 2*l - 8. Let q be k(-6). Let a = q - 2. Solve -a*c + 4*g = -4*c, 2*c - g = x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 29 in descending order.\nAnswer: 29, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2635111\/91361 - -2970\/103. Let f = r - 77099\/8870. Find the common denominator of f and -39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3972*o - 184884 = -1368*o for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 - w**3\/3 - w**2\/2 + 623. Let k(h) = -6*h**3 - 5*h**2 - 3*h. What is k(d) - 5*m(d)?\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39, -51, -71, -99, -135, -179?\n\"Answer: -4*a**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*w**2 - 82*w**2 + 152*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.13489\nAnswer: 0.67445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 27*a**2 + a. What is the tens digit of n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 4*q**2 - q + 22. Let a = -122 - -199. What is the remainder when a is divided by w(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*c + 10 + 1, 3*z + 15 = 0. Solve -9 = -3*v, 0 = -c*w - 4*v + 17 + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {l: 11, s: 6, y: 2}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.33 - 8.33. Let l = 8740\/15983 + -2\/1453. What is the smallest value in l, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9967 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59201434408 - 0.4.\nAnswer: -59201434408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 1813*a**3\/3 + 3752*a + 4510. Differentiate s(d) wrt d.\nAnswer: 3626*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.006 + -0.206. Let i = 1303\/328 - 168\/41. Sort -5, i, -7, y.\nAnswer: -7, -5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 3*b - 11. Let l(v) = v**2. Give q(l(m)).\nAnswer: -m**4 + 3*m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/7 + 2*d**3 - 30*d**2\/7 + 26*d\/7 - 8\/7 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 - -236. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttttbtbttttbttbtb. Give prob of picking 2 t.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-25) + (-8)\/(-5). Suppose -13*p + l = -14*p. Let v be 5 + p - (2 - 1). Solve 0 = -v*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y - 20. Solve -2*u = y*h + 17, -2*h = -3*h + 3*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 5*u + 17 + 6*u + 4*u - u**2. Let t be i(12). Suppose -o + 476 = 3*o. Calculate the highest common divisor of t and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 4:06 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**3 + 7*o**2 + 4. Let x be j(-6). Let r = 2303 - x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7248 and 18336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -65*u - 145 - 493 + 565. Calculate y(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/46079 and -103\/6.\nAnswer: 276474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.92 - 6.23. Let s = -73 + g. Let y = 0.41 + s. Which is the closest to 1\/3? (a) 3 (b) 2\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/5)\/f*(f\/(f*f**(1\/5)*f*f*f))\/f*f**(-8)*f*(f\/((f**4*f*f)\/f))\/f*f)**(-3\/7))**(-19) assuming f is positive.\nAnswer: f**(-4104\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15630 = -107*o + 113*o. Suppose -o = -4*j - 621. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -92*h**3 + 21*h**2 - 16*h - 11. Let s(p) = -34*p**3 + 7*p**2 - 6*p - 4. What is -4*n(f) + 11*s(f)?\nAnswer: -6*f**3 - 7*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 1439 = 3*l - 1449, z = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + -1 + -512 + 539.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z**2 - 2*z**2 + 5*z**2)*(-4*z**2 + 1 + 0 + 0) to u*z + o + r*z**3 + i*z**2 + y*z**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719800145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:00 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-2) - (-1 - -1). Let k(a) = a**3 + a**2 - a. Let u be k(0). Sort g, u, 3.\nAnswer: g, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-357)\/(-98) + ((5 - 1) + -4 - -5)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4432974, -4432968, -4432948, -4432908, -4432842?\n\"Answer: l**3 + l**2 - 4*l - 4432972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.8295 - 3267.22788. Let b = f + 3294. Let n = b + 0.058. Round n to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:41 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 145, 8\/7.\nAnswer: -0.3, 0, 8\/7, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*c + 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -692304384818*b**2\/5 + 691896072*b\/5 - 172872\/5 = 0?\nAnswer: 294\/588347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - -0.3. Let n be (-2)\/(-6)*(-24)\/16. What is the nearest to -1 in a, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/320*3\/((-36)\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1381, 3, 90, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 4*w - 758*w**3 - 5*w + 0*w.\nAnswer: -758*w**3 - w - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/3))\/(f\/(f*f\/f**(-2\/7)))*(f\/(f\/(f\/f**0)))**(-5))**32 assuming f is positive.\nAnswer: f**(-2272\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 5 = -15. Let y be 2*(1 + (14\/4 - w)). Let h(l) = -15*l**2 + 11*l**2 + y*l**2. Let m(v) = -11*v**2. Calculate h(m(r)).\nAnswer: 121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1249713 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 774, 1171, 1570, 1971?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5529, 5553, 5593, 5649, 5721, 5809, 5913?\n\"Answer: 8*j**2 + 5521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, w: 2, j: 1, p: 1, b: 3}. What is prob of sequence bpq?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 75*s**3 + 2*s**2 - s + 4. Let b be ((-6)\/(-12))\/(1\/12). Let g be (-1)\/(b\/(-9) - -1). Let h be w(g). What is h rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d. Let h(c) = -c**2 - 5*c + 4. Let i be h(-5). Let q be 15\/2 - 6\/i. Solve -q = 2*l - d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + 3)\/(3\/(-5996)*14). Let l = -170795\/399 + j. What is the common denominator of l and -39\/209?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(sqrt(539) + -2 + sqrt(539) - sqrt(539)) + -2 + (sqrt(396) - 6*-2*sqrt(396) - ((1 + sqrt(396))*6 - sqrt(396))) + -3)**2.\nAnswer: -5616*sqrt(11) + 119705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - -19. Calculate the greatest common factor of d and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20 and -17.14570388601.\nAnswer: -37.14570388601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 743217 + -63?\nAnswer: 743144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3432 and 5026320?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 658743 = 3*p, p + 6*i - 9*i - 219587 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = 2*n - 17*r + 2, -r = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + -153?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f**4 - 1\/5*f**5 - 2 + 0*f**2 + 1\/3*f**3 + 0*f. Find the third derivative of k(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 + 189. Calculate the highest common divisor of n and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26297 - -26340. Solve 8*h = r*h - 210 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 30928?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 379.677031 to the nearest integer.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50183747 and -3.\nAnswer: 150551241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*i - 18, 3*i + 4*t + 0*t - 20 = 0. Let k be (i + -2)\/(-1)*-1. Solve -2*s = k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q*q**(-22))*(q\/(q**(-4)\/q))\/q assuming q is positive.\nAnswer: q**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 + -82. Let t = -0.1 + 0.7. Let f = t - 0.5. What is the closest to k in 4, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4 - 2*p**3\/3 - p**2\/2 + 1. Let c be y(-1). Suppose -65 - 31 = -8*l. Solve r = c*d + 2*d - l, -4*r = -4*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-2560)\/(-150) + -17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 12*r + 19. What is the tens digit of o(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) + 20\/(-9). Let i be (-12)\/(-18) + (-14)\/(-6) + 0. Sort -10, -2\/21, i, d in ascending order.\nAnswer: -10, d, -2\/21, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 0.07688?\nAnswer: 0.22312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43892345 divided by 1?\nAnswer: -43892345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*w = 9, 0 = 3*w + 26 - 44. Solve 41*m + s = 36*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(12) - (sqrt(36)\/sqrt(3) + sqrt(12))))*-1.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/77046 and 83\/12?\nAnswer: 154092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 1\/4*l**4 + 0*l**3 + 1\/2*l**2 + 3 - l. Suppose -3*k - 6 = 2*f - 20, 3*k = -5*f + 26. Determine y(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82484294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/43 (c) -3\/5 (d) 0.4 (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 13\/6*v**3 - 1\/12*v**4 + 0 - 3*v**2 + 6*v. List the prime factors of f(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1735 - -1738. What is the nearest to 2\/9 in -1.4, j, 5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 236593477.3 and -0.5.\nAnswer: 236593476.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17858966 is divided by 610.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3046 (base 9) in base 10?\nAnswer: -2229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**3\/2 - 4*y. Let g(s) = -8*s**2. What is g(u(v))?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/6 + -1 + 3. Let t = 0.05697 + -3.05697. Let q = 5.08 + -0.08. What is the third smallest value in t, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l - 16*l**3 + 14*l**3 - 3*l + (10*l**2 - 23*l**2 - l**2)*(-2*l + l + 2*l) to the form k*l + v*l**2 + z + o*l**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 + (-14)\/63. Let c(k) be the first derivative of 0*k + b*k**2 + 2 + 2\/5*k**4 + 6\/25*k**5 + 2\/15*k**3. Factor c(d).\nAnswer: 2*d**2*(d + 1)*(3*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*h*(h\/(h*h**(2\/7))*h)\/h*h))**(19\/4)\/(h**(-3))**(-4\/3))**(-2\/35))**(-17) assuming h is positive.\nAnswer: h**(-3519\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 18402*f**2 - 15999*f**2 + 3 to b*f**2 + i*f + s and give b.\nAnswer: 2403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 10*x + 14. Suppose -v + 11 = -0*v. Let h be o(v). Let p be 9 + (-9)\/(36 - 9)*27. Solve 3*z = -p*z - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*1\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 7*n**2 + 6*n + 6. Let y be l(6). Suppose -4*k = 3*i - 12, -5*i + 4*k + 16 = -i. Is i less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 79*k**5\/5 - 171*k - 45. Find the first derivative of z(d) wrt d.\nAnswer: 316*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-4 - (-8 + 4)) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 44*d**4 - 104*d**3 - 8*d**2 + 100*d + 52 = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 + 4 = 0. Does 8 divide 0 + -31*(0 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2384239.\nAnswer: 11, 13, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94984, -94988, -94992?\nAnswer: -94996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816*a + 31 - 59 + 24.\nAnswer: 816*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + 1.59. Let k = j - -6.11. Let v = 6.1 - k. What is the closest to v in 1\/6, -1\/4, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18289, -29219, -47435, -72937, -105725, -145799?\n\"Answer: -3643*f**2 - f - 14645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151 - -21?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 3. What is the tens digit of -2 + 79 + 2 + p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -4. Suppose -g*n + 2*n = -25. Suppose -18 = -5*p - 3. Solve -n*m = -2*i - 13, 0*m - 2*i = -p*m + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/(-4))*(-21)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5 (c) -2 (d) 4 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 76.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1111201122 (base 3) to base 15\nAnswer: -8be5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 - 122. Suppose 5*q - 3967 = -m*a + 4*a, a = -q + 1321. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 2581 - 1368 = 0. Let w = c + -361. Let a(j) = -j**2 + 2 + 4*j + 8*j**2 - 3*j**2. Determine a(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9)*f)\/f*f\/(f**(-1)\/f))\/(f\/(f\/(f\/((f**(-3)\/f)\/f)*f)*f)*f*(((f\/f**(-7))\/f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 296, 496, 602, 614, 532?\n\"Answer: -47*i**2 + 341*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -120. Let r = a - -202. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 8*r + 92. Let x = -14 - r. Suppose -k - x = -2*k. What is the highest common factor of k and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**3 - 2*t + 1. Let z be h(1). Let w be 8 - ((-8)\/z - 1). Suppose -2*x = -w - 17. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.051 - -0.135. Let r = -0.306 + f. Let d = r + 0.221889. What is d rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 5*a + 8. Suppose 0 = 3*k + 2*k + 5*q - 75, 0 = 5*k - a*q - 96. Suppose 23*p - 745 = k*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/10*(-1392)\/(-2436)*10\/(-623)\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 11*h - 2*h. Suppose -5*k - h = -6*k. Calculate the remainder when 1 - ((1 - 0) + -39) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2802*-2.\nAnswer: 5604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -716 - 2995.\nAnswer: -3711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-3 + (3 - 0) - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 p, and 1 a when four letters picked without replacement from appjjjpwwwkpwkjw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15122731?\nAnswer: 13, 181, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 303*p**3 - 248 wrt p?\nAnswer: 909*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q - 13. Determine c(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -1 - 0 - -4. Let g(l) = 4*l**2 - 2*l**2 - l**3 - 5*l + 3*l**2 - 5 + 2*l**w. Let q be g(5). Calculate the highest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 112651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264263, 528277, 792291, 1056305?\nAnswer: 1320319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -16435?\nAnswer: 16430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4447?\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/8)\/3 - (-117)\/180. Which is the third smallest value? (a) -7 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 2. Let h(j) = 0 + 5*j + j**2 - 1 - 4*j. Let q(c) = -2*h(c) + t(c). Let w(y) = -5*y**2 + y**2 - 2*y**2 + 2*y**2. Determine q(w(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 12*w + 38. Let p be h(-6). Suppose 0 = p*r - 4*r + 664. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 1073*y + 1081*y - 4 - 3.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195569 is divided by 81310?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107506825 to the nearest integer?\nAnswer: 10369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*y - 74*y = 75 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*y**4 - 4*y**2 + 61*y**4 + 0*y**3 + 0*y**3 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 88 = -3*u + 48, 0 = -2*u + i + 91. Suppose -16 = 3*p - u. Solve 4*q = -q - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18627 + -18477.23. What is q rounded to zero decimal places?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1290 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7337364 milligrams?\nAnswer: 0.0007337364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/(((-351)\/(-26))\/(-27))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-3)\/8 + (-2)\/(-8). Does 12 divide (3*16\/6)\/(w\/(-92))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 9. Let n be b(-3). Let l = 121 + -117. Solve n*d**2 + 0*d**2 - 3*d**l - 3*d**2 + 21*d**3 - 27*d**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 169133.28 months?\nAnswer: 14.09444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -26*d + 17. Let q be f(-6). Suppose v - 177 = 3*m, 5*v - 4*v = m + q. What are the prime factors of v?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*t - 377*t + 133*t - 11933 = 9592 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44407*k**2 + 22062*k**2 + 22346*k**2 - 185*k**3.\nAnswer: -185*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 730 + -729. Let o(z) = -b - 8*z + 1 + 7*z - 2 + 1. Let q(y) = -55*y - 66. Calculate 66*o(f) - q(f).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose -659*j + 658*j - 3 = 0. Which is the nearest to k? (a) 2 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3920*v**2 + 15*v.\nAnswer: 5*v*(784*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103\/130 - -5\/26. Let x = 0.18 - 0.08. What is the nearest to x in 1, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -19. Let u be (c + -7)\/(6\/(-8)). Suppose 0*p + u*p - 64 = 0. What is the remainder when 28 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34783 is divided by 156.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 9*g**2 + 10*g + 2. Let b be n(-10). Let i be (-10)\/3*(-2574)\/715. Solve 5*v - b = -i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/3 + 5*k**2\/2 + 6*k + 2. Let q be m(-4). What is the first derivative of -y**3 - q*y - 1 + 3 + 2*y wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1786\/(-133))*7 + 33\/(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 7*u - 4. Let p(v) = -8*v - 8. Let o(f) = 4*f + 4. Let y(h) = -7*o(h) - 3*p(h). Let z be y(-2). Does 3 divide k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21860 (base 10) in base 11?\nAnswer: -15473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.1? (a) 1\/7 (b) -1 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35*(16 + (-1131)\/(-145) + -26)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v*z**4 + 6*v*z**3 + 681*v*z**2 - 273*z**4 - 650*z**3 + 633*z**2 + 5 wrt z?\nAnswer: 48*v*z + 36*v - 6552*z - 3900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/16? (a) 4 (b) -0.5 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 - 88. Calculate the highest common divisor of o and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = a - 2*h, -12 = -8*h + 12*h. Differentiate a - o**2 + 156*o**4 - 150*o**4 + o**2 with respect to o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - -2?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**3 + 6*z**3 + 3*z**3 - 22*z**2 + 6 - 2 to o + b*z**2 + c*z + t*z**3 and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1013649 and -26\/597793?\nAnswer: 23313927","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 94945.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 156820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d4 + -9?\nAnswer: -2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18305*u**4 - 9564*u**2?\nAnswer: 439320*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 15, 34, 53?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72841 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.613282 grams to milligrams.\nAnswer: 2613.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.1387 to 1 decimal place.\nAnswer: 106.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28545, -57089, -85633, -114177, -142721, -171265?\n\"Answer: -28544*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -73) + -3 - 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/5 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.488 - 0.088. Let k = m + -7. What is the closest to -0.1 in 0.5, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 259?\nAnswer: 3\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4)\/2 + (-460)\/38 + 11\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 35 - 1\/15*r**3 - 1\/5*r**2 + 3\/5*r. Suppose h(c) = 0. What is c?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**4\/6 + h + 134. Let z(o) = 1610*o + 1. What is i(z(l))?\nAnswer: 5184200*l**2 + 6440*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 454596221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17715 - -47312. Suppose 7388 = p - 2*g - 2*g, 0 = 4*p - g - m. What is p rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 62 - 2*g + 0*g**4 - 10*g**5 - 19\/2*g**2 + 0*g**3. Find the second derivative of r(d) wrt d.\nAnswer: -600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -509 or -507?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 21*r + 150. Let c be d(-11). What is the greatest common factor of 2008 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - -16) - -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/377 or -1?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/7, -0.4, -195?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zknknkzznkknnznnzkkk. What is prob of sequence zzk?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21341, -21258, -21175, -21092, -21009, -20926?\n\"Answer: 83*h - 21424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 3\/(-12)*-32.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b + 1. Calculate v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36, 1\/3, -3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/5 in -1\/9, -3\/2, -2\/23, -78?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 23 - 69. What is the first derivative of 12 + 12 + 4 - j*s wrt s?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18262836*z**4 - 16149122 wrt z?\nAnswer: -73051344*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - i + i)*(-1324*i**2 - 43*i + 43*i + 221*i**2 - 871*i**2) to t*i + h + a*i**2 + z*i**3 and give z.\nAnswer: -5922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3a51 (base 15) to base 13\nAnswer: 588a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznnznnnnnnznnnnnnnn. Give prob of picking 2 n.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c - 68. Give s(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*b**3 + (4*b - 2*b - 4*b)*(4*b**2 - 3*b**2 + 5*b**2).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 2. Let l be b(-6). Let z = 21 + l. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1767)\/62)\/((-1)\/(3*2)). What is the greatest common factor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x - 1. Let w(v) = -2*v**3 + 6*v**2 - 27*v + 5. Calculate -6*u(r) - w(r).\nAnswer: 2*r**3 + 33*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/6843 and 13\/2050619?\nAnswer: 6151857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 2. Let y be i(-6). Suppose 2 = y*v - 38. What is the smallest common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5325158t?\nAnswer: 532515.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 12:28 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -2, 3.\nAnswer: -2, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 165, 322, 537, 840, 1261, 1830, 2577, 3532?\n\"Answer: 5*l**3 - l**2 + 125*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14766.00006061 + -14766. What is j rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/155538 and 151\/84294.\nAnswer: 728384454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60599922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 379483.65us?\nAnswer: 0.000000627453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osoor. What is prob of sequence so?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = -4*k - 16, f = 2*k + 12. Solve 5*u - 14 = -4*i, u - i - 3 = -f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340584631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12635 - 2?\nAnswer: -12637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114636 is divided by 28629?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*x - 12, 3*x - 7 - 5 = -3*k. Let b be 1\/((-4)\/k + 1) + 3. Suppose b*q - 195 - 591 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -29.9. Let g = t - 4. Let r = 0.02 + 3.98. What is the second biggest value in -2, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 30 = 29*v. Let w(f) = 3*f - 8. Let l(h) = -3*h + 9. Give v*l(p) - 7*w(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from bcynfyo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((5\/2)\/5)\/(15\/60). Suppose -26 = -x*r - 12. Let k(v) = v + 1. What is the remainder when k(12) is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5540 = -3*u, -5*b + 4*u + 2596 = -2944. List the prime factors of b.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let z be g(-1). Let y = z + -2. Let w(q) = -2*q**3 - 3*q**2. Is 2 a factor of w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcf. What is prob of sequence cf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -8*z + 2. Let b = -4.4 - -0.4. Let s = 4.96 + 0.04. What is the nearest to z in s, b, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 29*a + 5. Let c be (2 - 4)\/(((-96)\/18)\/(-8)). Let p be z(c). Let y = 159 + p. Do 76 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - sqrt(567)*1)**2*4 - sqrt(567) - (5 + sqrt(567)*-2)) + 1.\nAnswer: -4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102) + sqrt(102)*-1)*-5)\/((sqrt(294) + sqrt(294)*-1)*-1 + sqrt(294)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 174*s**3 + s**2 + 2*s - 2. Let d be l(1). Let b = d + -48. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 10. Suppose 0 = 2*j + h + 5. Is -7 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13 - 5 = 0. Suppose -y - u*j = y - 4, 4*y = 4*j + 16. Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 1.7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 + 2 - 1) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.4 to one decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6569977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12142 - -12141.9. What is the fifth biggest value in h, 5, 3\/5, 3, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n = -99 - 161 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7022964 divided by -52?\nAnswer: -135057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.6. Let m = g + -3. Let f = 32\/143 - 10\/143. Put 1\/4, -1\/4, f, m in descending order.\nAnswer: 1\/4, f, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 3*q + 26. Let p be i(-11). Let l = p - -110. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 3. Let p be o(3). Let x(l) = l + 4. Does 2 divide x(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -525*s**3 + 14*s**2 + 10*s + 42. Let m be v(23). Let d be (m - (1 + 2))*-5. What is d rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6 + 5*r + 0*r**2 - 3 - 7*r**2 + 8*r**2. Let c be l(-7). Solve 2*v + 16 = -4*p, -4*v + c*p + 0*p + 33 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 21*x**2 + 71*x - 10. Let a be f(-24). Calculate the greatest common divisor of 98 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020 - -201201?\nAnswer: 121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8785.3 + 8783.3. Let a be (-256)\/(-847) - 4\/14. What is the second smallest value in a, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2*1)\/1)\/(65\/(-195)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-172522)\/(-42)*(-5 + (1 - 2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 8, y: 6}. Give prob of sequence ydyd.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.51 - -87.49. Let r = 87.999917 - c. Round r to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*116.1\nAnswer: -464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195620 is divided by 97614?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742120432.\nAnswer: 2, 13, 37, 226367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**4 + 65 + 2*t + 463 - 20728*t**2 + 20729*t**2 + 7407*t**5 wrt t.\nAnswer: 444420*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -302*b**3 + b**2. Let n(q) = -q - 6. Let v be n(-5). Is d(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x**2 - 6*x + 6. Let p(b) = -45*b**2 + 25*b - 25. Let q(z) = 25*l(z) + 6*p(z). Let h(c) = -7214*c + 14440*c - 7223*c. Give h(q(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100101111 - 10?\nAnswer: 10000100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565529 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.937 and -50?\nAnswer: 49.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 4*n - 43, -520*n = 4*k - 523*n - 42 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59009\/14 - 4211. Find the common denominator of (-10)\/(-25)*(-53)\/8 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8102620 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 194 (b) -3 (c) -11 (d) -1\/7 (e) 0.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -638 and 503605.\nAnswer: -321299990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 13*f - 10. Let v be l(-14). Solve v*n = 4*w - 4, -16 = -0*w - w + 4*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o + 23. Let q(b) = -4 - 12*b + 4 + 4 + 8*b. Let z(x) = -6*l(x) + 34*q(x). Calculate z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000676231 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/45 + 862*u**4\/9 + 1486088*u**3\/9 + 12*u**2 + 61*u. Determine f so that j(f) = 0.\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3910548 = -4*o - 0*o. Let n = -577637 + o. What is n rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000111 (base 2) to base 6.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 + p - 2)*(0*p - 3*p + 2*p).\nAnswer: -p**2 + 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -16. Let b(n) = 2*n**2 - 4*n - 8. List the prime factors of b(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, and 1 l when three letters picked without replacement from qpljhggpq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14499*w - 8. Let s = -126 - -178. Suppose p - 4*x + 12 = 0, 3*p - s = -p - 4*x. Let f be k(p). What is f rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 13. Let v be (-2 + (-4)\/(-2))*(-32)\/64. Solve i = -v*x + 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442322 (base 5) in base 2?\nAnswer: 111100011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -95\/2. Which is the fourth biggest value? (a) 0 (b) 2 (c) -1\/5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2)*f\/f**6)\/(f\/f**0*f\/(f**(6\/11)\/f)*f))**25)**(-2\/23) assuming f is positive.\nAnswer: f**(250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**15*f*f\/(f**(1\/10)*f)*f assuming f is positive.\nAnswer: f**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 8*j**2 - 8*j. Let q be n(-7). Let b(t) = 15*t - q*t - 7*t. Let v(k) = -6*k. Give b(v(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/8 - 4*q**3\/3 + q**2. Is a(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86104 - -198?\nAnswer: -85a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -13) + 10 - (-1 + 3) - -20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -696.83 (b) -4 (c) 4\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -1\/6*a**3 + a + a**2 + 1\/12*a**4 + 0 - 1\/60*a**5. Let f(u) be the first derivative of p(u). Factor f(i).\nAnswer: -(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/3 of a week in hours?\nAnswer: 4648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1186 = 128*i - 418. Let a(n) = n**3 + 5*n**2 - 11*n - 14. What is a(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**4 + 2*s**3\/3 + 3. What are the prime factors of b(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1437, 1455, 1499, 1581, 1713, 1907, 2175?\n\"Answer: 2*v**3 + v**2 + v + 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2345885302\nAnswer: -2345885297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 3*(2*sqrt(832) - sqrt(832))))**2.\nAnswer: -240*sqrt(13) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.24 and -3?\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888052 is divided by 295582?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20 = 5*n, 0 = -5*v - 0*n + 2*n + 8. Let d(g) = -56*g + 25*g + g**2 + 6 + 25*g. Let b be d(4). Which is bigger: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k - 649 + 69 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64933*b*n**2*r**3 - 321*b*n**2*r + 86*b*r**3 - b*r**2 - 8*n**2*r + 5*n**2 - 9*n*r**2 wrt r?\nAnswer: -389598*b*n**2 + 516*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*b + 20 = 3*c, -3*b - 7 = c. Solve -16*a = -17*a - c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8847 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 51\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -5. Let b(q) = -q**3 - 7*q**2 - 7*q + 7. What is the remainder when z is divided by b(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 597569744*s**3 - 54*s**2 + 217510*s - 4.\nAnswer: 3585418464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7809784.\nAnswer: 2, 397, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (8 + -7) - 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 6*t - 3. Is d(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*-4*-1)\/((sqrt(56) + sqrt(896))\/sqrt(7) + -1*sqrt(512)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11*k - 3 - 3 + 3*k.\nAnswer: -8*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3629339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3571, -8981, -14391, -19801, -25211?\nAnswer: -30621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - 44 - ((5 - 13) + -5).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 bigger than -212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19*i**2 + 3*i + 13. Let x be d(5). Let y = 81 + x. Round y to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 135 + 1\/4*d**3 + 0*d + 1\/32*d**4 - d**2. Factor u(z).\nAnswer: z*(z - 2)*(z + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 894755 + -596930.6. Let u = -297846.40019 + p. Let i = -22 - u. Round i to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 78095 = -52*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j = -45*j + 62*j - 456 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -38. Let w = x - 7.942. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 208 = -5*m, 4*m - 77 - 92 = r. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1 + 9*i**3 + 18*i**3 - 20*i**3. Determine t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from yaoppplpp?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4806 and 70848?\nAnswer: 6305472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*p + 5*r, 0 = -3*p + 5*r + 14 - 0. Solve 2*l + 2*c + 12 = -2*l, 5*c = p*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let f(c) = 8*c + 4. Let q(i) = -81*i - 42. Let o = 121 - 100. Let a(m) = o*f(m) + 2*q(m). Calculate a(n(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5\/7 + 905564*u**4 + 5022814412992*u**3\/7 + 50227713082240*u**2\/7 + 160728235602432*u\/7 + 160728032756736\/7 = 0.\nAnswer: -1584732, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l**2. Suppose -5*t + 11 = -2*j, 0*j - 5*j = 2*t + 13. Let r(c) = -21*c + t + 10*c - 1. Give g(r(u)).\nAnswer: -3025*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 6516*x**3 + 3344640*x**2 + 518928400*x.\nAnswer: 4*x*(x + 289)*(x + 670)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 21*p + 87. Let x be w(15). What is the closest to 2 in -0.02, 1, x, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1376*n + 2859.\nAnswer: -1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + 646 = 4*t, -2*t = 2*d - 318. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 17. Let r = y + -11. Solve -8 = 4*d - r*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 - 3977*z**2\/4 + 3980*z - 3981.\nAnswer: -(z - 2)**2*(z + 3981)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18235904 - 348.81262096. Let r = 349 + j. Round r to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 4*q**2 - 9*q + 14. What is l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**10\/1008 - c**6\/360 - c**3 - 3*c**2. Let j(q) be the first derivative of o(q). Find the third derivative of j(k) wrt k.\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2559, 10310, 23383, 41910, 66023, 95854, 131535?\nAnswer: 173198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893387.\nAnswer: 11, 241, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 280, 1067, 2 in ascending order.\nAnswer: -5, -3, 2, 280, 1067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 9498, 0, 6 in descending order.\nAnswer: 9498, 6, 0, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - u + 302 = u, m - 2*u + 68 = 0. Let q = -70 - m. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1, -6 in descending order.\nAnswer: -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 524514?\nAnswer: 1049028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q. Let j(p) = -2*p**2 + 66*p**2 - 2*p**2 - 10*p**2 + 19*p**2. What is j(i(u))?\nAnswer: 5751*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*o**2 - 5*o**2 - 6*o**2)*(-4*o**2 - o**2 + 3*o**2)*(-2 + 3 - 3 + (3 - 5 + 4)*(4 - 1 - 5) - 1 + 5 - 2).\nAnswer: -280*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.8 + 8. Let n = -25.069 + 25. Let o = n - -3.069. Which is the nearest to -3? (a) 2 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417247 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2 + 34*p + 53. Let k(y) = -y**2 + 7*y + 11. Let w(j) = 5*k(j) - n(j). Let t be 1*4*1\/(-2). Give w(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 21. Give q(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (145 - -4)*(-595)\/(15\/(-3))?\nAnswer: 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29468 times -4?\nAnswer: -117872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - u**2 - 16674 + 8336 + 8346 + 127*u. Let h(p) = -p**2 + 42*p + 3. Give 8*h(j) - 3*q(j).\nAnswer: j**2 - 45*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -39*v - 5. Let a be c(-6). Let n = a - 120. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 10\/3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) + (-169)\/(-52). Let w(s) = 7*s**2 - 3*s - 6. Let o(j) = -9*j**2 + 4*j + 8. Let x(h) = -4*o(h) - 5*w(h). What is x(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/6? (a) 5 (b) -42 (c) -3 (d) 3 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64322868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12758752 - 0?\nAnswer: -12758752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**5 - 240*k**4 - 60*k**3 + 2960*k**2 - 3840*k = 0.\nAnswer: -4, 0, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119292, -238537, -357778, -477015, -596248, -715477, -834702?\nAnswer: -953923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -57. Suppose -f = -6*n + n. Calculate the remainder when 18 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6169460.\nAnswer: 2, 5, 11, 29, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -18.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9216 and 432?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 1. Let f(n) = 1. Let p(m) = 5*m**3 + 6. Let y(w) = -2*f(w) + p(w). Calculate -4*s(l) - y(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1 - 7676?\nAnswer: -75b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 25. Let b be (-9 - 0)*6\/n. Suppose -82 = b*v - 5*v. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (-6 - 5858\/145) + 1*-2?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1941, 4\/17, -0.55?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 2\/5 (c) -4 (d) 4 (e) 4\/281\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/5, -1\/2, -354.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12621.\nAnswer: 3, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 204, 519, 970, 1563, 2304?\nAnswer: 3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahahaa. Give prob of picking 1 a and 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wajw when four letters picked without replacement from {w: 4, a: 8, j: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 6. Let s(c) = -3*c + 7*c + 4*c + 3*c - 13*c + 3. Let l(x) = -h(x) - 2*s(x). Let v(u) = 4*u - 2. Determine l(v(r)).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31 + -41?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 + 13 - (-1 - 0). Suppose m = o, 3*v - 547 - 221 = -5*m. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 55*c - 1. Calculate z(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104485, 208955, 313425, 417895?\nAnswer: 522365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 15 = v. Suppose n + 12 = v*n. Let b(l) = -l**3 + 6*l**2 + 5. List the prime factors of b(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 215428.958 to the nearest 100.\nAnswer: 215400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + z**2 - z + 2. Let h be d(0). Suppose 5*m - 30 = 4*q - 554, 0 = -h*m + 5*q - 213. List the prime factors of (-2)\/2 - (-1 + m).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28c435 (base 14) in base 4?\nAnswer: 11121320133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 9. Let r be h(4). Let b be (r + 1)\/(4*2\/(-1308)). Is 14\/((24\/b)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, i: 3, w: 1, b: 4}. What is prob of picking 1 z, 2 w, and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 3:55 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17594520 divided by 3518904?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 198*v**2 - 186*v**2 - 90 - 10*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(2*a + 0 + 0) + 0 + 0 + 2*a + 3*a - 4*a + 2*a + 2 - 2 - 3*a + (a - 22 + 22)*(0 - 2 + 0).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.7 and 0.1129?\nAnswer: 1.20803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 9) to base 12.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 224698341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -64. Suppose -j*c = -10 - 16. Put c, 4, -2 in descending order.\nAnswer: 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/10)\/(3\/60). Let h = -4 + y. Suppose -h = z - 53. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 + -29?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 3*l**2 - l + 1. Let n be d(2). Suppose -n*h + 5*h - 10 = 0. Let y(i) = -i + 1. Let t(f) = 7 - 4 - 2*f - 5 + 3. Determine h*y(u) - 4*t(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1 - -21) + 0. What is the units digit of 2\/6 + l\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*y + 14 = -4, 5*y - 6 = 4*g. Does 9 divide 57 - (-2 - (3 + g))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -13, 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -36*((-634980)\/1808 - (0 + 0)). Let j = -12644 + w. Let c = -11789\/2034 + j. What is the common denominator of c and -95\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 2*y + 2*y - 2*y + y - 2*y - 1 + 2*y + 1 + (-2 + 2*y + 2)*(0 - 2 + 4) - 7*y + 9*y - 40*y.\nAnswer: -37*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**3 - 7. Let t(i) = -3*i**3 + 4. Suppose 0 + 3 = h - 5*b, -3*b + 6 = 2*h. Suppose 0 = 2*c + h*c + 35. Calculate c*t(o) - 4*k(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/(b\/b**(1\/2)))**(-6\/11) assuming b is positive.\nAnswer: b**(21\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 71*q + 15. Let m be s(-36). Suppose 2*i - 4298 = 6*k - 2*k, 3*i - m = 3*k. Is i 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 {w: 3, o: 5, n: 4}. Give prob of picking 2 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216087996 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1379 + -1375. Put h, 5, 8, -3 in ascending order.\nAnswer: -3, h, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*u**2 + 2 + 5*u + 2*u**3 + u + 8*u**2 + 7*u**2 in the form p*u**2 + v*u**3 + m*u + d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - 42*z. Let f(g) = g**3 + 48*g**2 + 516*g + 139. Let i be f(-32). What is l(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)\/x**(6\/13))\/(x**(1\/13)\/x**10) assuming x is positive.\nAnswer: x**(479\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4.07, 14, 0.209, 17, 0.1 in ascending order.\nAnswer: -4.07, 0.1, 0.209, 2, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*r, 447 = 3*j - 5*r + 436 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2094588 divided by 1047294?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4966309l in millilitres?\nAnswer: 496.6309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 74689 = -3*j, 0 = 2*x + 2*j - 36536 - 38148. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -28 + (-65 - -91)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 + 79. Suppose -4*g + 216 = -4*l, -1 = v*l - l. What is the greatest common divisor of 689 and g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -62. Solve 10*i + k = 14*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/6)\/(-2)*3. Solve -f*i = -7 + 27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 512579, 512416, 512253, 512090, 511927, 511764?\nAnswer: 511601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10311 (base 5) to base 3\nAnswer: -222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 15*c + 15 = 0. Let r be (((-21)\/9 - c) + -1)*-15. Solve 4*p - n + 2 = 5, 3*p = r*n + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(-2*w + 6*w - 2*w)*(-21 - 4*w + 21)*(-1072 - 198 + 218) to the form n*w**2 + j*w + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 8*p + 9*p)*(0*p**2 - 3*p**2 + 4*p**2 + (-4*p + 4*p + p)*(-7 + 2*p + 7)) to the form a*p + g + n*p**3 + v*p**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {e: 4, s: 8, v: 2, b: 1, c: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -23, -17, -9, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 83232\/11*u - 816\/11*u**2 - 2\/11*u**3.\nAnswer: -2*u*(u + 204)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 1. Let w(a) = a + 1. Let q(y) = -3*r(y) - 4*w(y). Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 5*q + 3*q)*(2074*q**3 - 35*q**4 - 2074*q**3).\nAnswer: -70*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 5)*(-28*z + 78*z - 30*z) + 0*z - 33 - z + 32)*(-14*z + 5*z - 15*z).\nAnswer: -1416*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 + 4*b + 2 + 57*b + 5*b**3 + b**3 + 332*b**2 - 333*b**2 to i*b**2 + a*b + x + r*b**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2*o + 95 + 1\/4*o**4 + 5\/2*o**2 + 11\/3*o**3. Find the second derivative of c(w) wrt w.\nAnswer: 6*w + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*d - 2, 0*i + i = -4*d + 10. Suppose -12*l + 15*l = 12. Suppose -4*c = 3*w - l + 3, 0 = -c + 4. Sort 0, 3, w, i.\nAnswer: w, 0, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 415*i**2 - 9200*i + 24000.\nAnswer: -5*(i - 40)**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 20, 49, 78, 107, 136?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*h = 531*h - 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {k: 7, e: 3, z: 1, s: 5, l: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 650840 < 650832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 214 = -44. Let p = c + 122. Suppose 0 = -m + p + 40. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + (sqrt(1377) - 5*sqrt(1377)*-3))*-1)**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5719.\nAnswer: 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -222?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2543.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-17)\/(n*n**(-2))*n*n\/n**3*n\/n**(2\/23) assuming n is positive.\nAnswer: n**(-370\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 44 - 3*y**2 + y**2)*(6 - 3 + 1)*(-5*y - 3*y - 3*y).\nAnswer: 88*y**3 + 88*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133507.\nAnswer: 11, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 44022 = -p, -3*w - 176058 = -4*p - 4*w. Does 168 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 42*p**4 - 13*p**3 + 11*p**2 - 7*p. Let r(g) = 21*g**4 - 7*g**3 + 6*g**2 - 4*g. Let n(y) = 11*r(y) - 6*u(y). Find the second derivative of n(w) wrt w.\nAnswer: -252*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4208*q**3 - 128*q**2 - 128*q - 128. Let n(s) = -165*s**3 + 5*s**2 + 5*s + 5. Give -5*j(d) - 128*n(d).\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 12:54 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9, 5\/3, 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 17*n**2 - 9*n + 464. Let c be u(-14). Sort c, -4, 5, -7, -19 in decreasing order.\nAnswer: 5, c, -4, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + n + n - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.883092 grams to nanograms.\nAnswer: 8883092000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, n: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -27. Suppose -i + z*c + 10 = -13, -84 = -3*i + 3*c. Suppose -2*m + i = -15. Which is greater: m or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f - 3. Let b = f + 10. Suppose 3*x - 38 = 49. Solve x = -u + 4*u + b*v, -v + 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1530*m**6 - 208*m - 77451*m**3 + 77451*m**3 - 3*m**2 wrt m?\nAnswer: -183600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 29916543?\nAnswer: -3\/9972181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 * -0.02.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 + 11201111?\nAnswer: 11210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 10 = -8*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.21, 230, 2?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.2555505s?\nAnswer: 0.004259175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*g + 20 = -11, 5*g = 2*v + 33. Let q be (-2)\/v + 44\/8. What is the tens digit of ((-2)\/q)\/((-2)\/204)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3543.38 + -3580. Let a = 1.62 + h. What is the second biggest value in a, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 2, f: 1, n: 1, y: 1, b: 1}. Give prob of sequence fv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39229 - 39166. What is the greatest common divisor of w and 1743?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120629954 divided by 31529.\nAnswer: -3826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42988\/(-816) + (-2 - (-25)\/20). Let x = 370\/17 + d. Let r(h) = -7*h + 9. Let v be r(6). Is v at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/(248\/250 - 1). Let d(x) = -x - 6*x**2 + 49*x**3 - x - l*x**3 + 4 - x. Determine d(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 9:49 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**3\/2 + 21*x**2\/2 - 10*x. Let j be s(-11). Let w be (12\/21)\/(j\/(-14)). Put -2\/13, -2, w in ascending order.\nAnswer: -2, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 2252*m**2\/5 - 2*m\/5 + 2252\/5.\nAnswer: 2*(m - 1126)*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19603*h**5 - h**4 - 4*h - 21 wrt h?\nAnswer: -392060*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (832\/(-17472)*6*-3)\/(1\/(-91)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7854.919 millennia in years?\nAnswer: 7854919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/7*(32\/6 - 2). Solve f = -3*x - x - u, 0 = 2*f + 2*x + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23*a**3 - 20*a**2 - 155*a - 591. Calculate p(-4).\nAnswer: 1181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 8*h**2 + 7*h + 5. Let k(d) = -d**3 + 9*d**2 - 14*d - 7. Let w be k(7). Give c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9912172298419+-5\nAnswer: -9912172298424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 107. Let k = 108 - o. Solve 0 = -2*n + k - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -1\/6*l**3 + 0 + 24*l + 0*l**2. Let o(w) = 5*w + 1307 - 1307. Calculate v(o(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176231311 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/30 - 4*s**2 + 727. Determine n, given that m(n) = 0.\nAnswer: -80, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10816 and 398320.\nAnswer: 20712640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9 times 4301?\nAnswer: 81288.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19493, 19492, 19483, 19460, 19417, 19348?\n\"Answer: -u**3 + 2*u**2 + 19492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (-3 - (-105)\/10). Which is the second smallest value? (a) -2 (b) w (c) -5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1846*x + 3664*x = 1833*x - 60 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3101 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/5)\/l*l*l)\/l*l)\/l)\/((l*(l\/(l\/((l**(-3\/11)*l)\/l)))\/l)\/l*l) assuming l is positive.\nAnswer: l**(26\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(12)*-6)**2 - -3*(sqrt(240)\/sqrt(5) + -1*sqrt(3)*1))*3*2.\nAnswer: -10368 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5092 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5 - 57. Suppose 3*f = f + 104. What is the highest common divisor of f and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-2) + ((-1530)\/(-20) - 3) is divided by 225\/6*(20\/(-6))\/(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {n: 1, a: 1, s: 2, h: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 494023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + sqrt(1872) + 0)**2 + sqrt(1872))*5 + 1.\nAnswer: 60*sqrt(13) + 37441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - 4*z**2 + 2*z + 2. Let n be k(2). Let j = 1947 + -1943. Sort j, 0.4, n in ascending order.\nAnswer: 0.4, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1991002 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*(-3 - 2\/(-1)). Suppose x - o - v = -2*x, -o = 0. Let w(r) = 2 + 8 - r + 7 - 5. What is w(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 21*h**3 + 24*h**2 + 48*h - 19. Let g(u) = -5*u**3 - 6*u**2 - 11*u + 5. Let b(o) = -13*g(o) - 3*s(o). What is b(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 plus 4706297540364?\nAnswer: 4706297540363.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/(-54)*16*1*8\/24\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -14) + (-24 - (-31 + 58 + -23))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.7 - 71.7. Let r = 62.0000939 + m. Round r to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 15*b - 1080. Suppose 18*z - 21*z = -522. Suppose -z*n = -169*n - b. Solve 0 = 4*u - f + n, -5*f = 5*u - 0*f + 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**7\/6720 - h**5\/960 - 17*h**3\/3 + 21*h**2. Let m(z) be the first derivative of v(z). Factor m(p).\nAnswer: p*(p - 1)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5.4. Let w = -24 + 24.4. Put w, g, -1\/4 in increasing order.\nAnswer: g, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 7*z**2 - 6)*(2 + 1 + 3).\nAnswer: -42*z**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m - 3*r = 16, -3*m = -4*r - 4. What is the third biggest value in 21, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zvvzv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/748 and -57\/476?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -168?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26206880 a multiple of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -37\/7, -1\/5, -4, -0.3.\nAnswer: -37\/7, -4, -0.3, -1\/4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17670 and 87020?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Suppose -n - n + 3*b + 13 = 0, -2*n + f*b = -16. What is the nearest to 2\/7 in 4, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1507\/3730 - -3\/746. Which is the third smallest value? (a) -1\/3 (b) t (c) 0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2, 7, 2.1, -697?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*g = -125*g + 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = s + 7. Suppose -4*y + s = 12. Suppose -4*i + 2*i = -4*b - y, 0 = 5*i - 5*b - 35. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*q - 21, -35 = 5*q + 1007*g - 1011*g for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + (sqrt(1872) - (sqrt(1872) + 0)*-5))**2 - (-4 + sqrt(1872) + -3 - (((sqrt(1872) - 3*sqrt(1872))**2 + sqrt(1872))*-2 + sqrt(1872))).\nAnswer: -168*sqrt(13) + 52425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -835*c - 48. Let k be m(8). Let z = -215275\/32 - k. Calculate the common denominator of z and -77\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*t + 10 = 0, -2*t - 1 = -2*r + 15. Sort 4, 0, r.\nAnswer: 0, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 5*h**2 - h + 6. Let p be i(-2). Suppose p*n - x + 68 = 0, 0 = n + 3*x + 14 + 16. Which is greater: n or -21?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 680 divided by -136.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(98))**2*2 - sqrt(98)) + 1 + sqrt(98) + 5 + -1.\nAnswer: -56*sqrt(2) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 124, 127, 132, 139, 148?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283420966.\nAnswer: 2, 141710483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - p - 10325506 = -0*p, 4*p = -24. What is o rounded to the nearest 10000?\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1750? (a) -0.1 (b) 6 (c) 0.045 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((sqrt(2057) - -1*sqrt(2057)*-4) + -1 + 5)*-4)*-5.\nAnswer: -1980*sqrt(17) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u + 5. Let t(p) = -p**2 + 56*p - 27. Let r be t(22). Let k = 12258\/17 - r. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -3. Let g be (-1 - 3)*q\/(-6). Let j(m) = m**3 - 6*m**2 + 2*m - 8. Determine j(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s - 11. List the prime factors of i(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 26 - 46, -q + 10 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9638 - -9634. Which is the second smallest value? (a) -0.7 (b) 4 (c) -0.26 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*t - 8, 3 = -2*m + 4*m + 5*t. Let q(i) = 4*i**2 - 12*i + 10. Let p be q(m). Suppose 29*f - p*f - 219 = 0. What are the prime factors of f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 27*l**3\/5 - 51*l**2\/5 - 87*l\/5 - 9\/5 = 0?\nAnswer: -1, -1\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -20, 0 = 4*g + 5*u - 3 - 13. Suppose -1 = -w, -4*k + 5*w + g = 22. Sort -0.3, -3\/2, k in descending order.\nAnswer: -0.3, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2)**(-3))**(-17)\/((j**11*j)\/((j*j*((j\/(j*j**(-11))*j*j)\/j*j)\/j*j)\/j))**48 assuming j is positive.\nAnswer: j**249","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.04?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 148?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24448607 + 0.15235.\nAnswer: 24448607.15235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121186315?\nAnswer: 5, 24237263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -2 - (-21 + 15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 8. Let w = -0.4 + o. Let c = 6.4 - w. What is c rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12784664?\nAnswer: 2, 139, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543815827 is divided by 3516?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19193 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3076?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + q**2 + 24 - 2*q**4 - 16 - 20 in the form k*q**4 + s*q + x*q**2 + j*q**3 + r and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/502179 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b + -2?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 0*g - g)*(21020 - 10031 + 28483 + 20693) as b + j*g and give j.\nAnswer: -60165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 23*h + 141 = -22*h, 830 = 6*a + 4*h. Calculate the least common multiple of 1083 and a.\nAnswer: 7581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-27)\/(-360)*-4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 7 - 6)*(11 - 8 - 8)*(-6*r + 6*r + 3*r**2) + (-3*r + 0*r + 4*r)*(0*r - r - r).\nAnswer: 358*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7052 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80.6 + -81.2. Let z = 0.2 + 0. What is the third smallest value in z, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttwt when four letters picked without replacement from {x: 1, t: 3, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1031385 from 0.04274.\nAnswer: -1031384.95726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = 2*w, f + 3*f - 4*w = 12. Let q(g) = f - 5 + 0 + g + 5. List the prime factors of q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-11 + 3) - (-1950)\/2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19890*y + 99458. Calculate s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, s: 12}. Give prob of picking 4 s.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 299 - 73. Let u = k - 190. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*s = 28, -3*h - 6*s = -3*s - 42. Suppose 0 = -r + 2*c - 2, -2*r = -3*c + 8*c - h. Suppose 0 = 2*j + r*j - 492. What are the prime factors of j?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 5*b**2 - 8*b + 1. Let r be l(6). Let f = -6 - r. Suppose 0 = -f*w - v + 8, -2*v - 2 = w - 0*v. Let k(i) = -4*i + 3. Give k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 9, 287*f - 284*f + 3*i + 6 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 873*u + 89125. Give o(-102).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 84, 748, 2560, 6096, 11932, 20644, 32808, 49000?\n\"Answer: 96*j**3 - 2*j**2 - 2*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2. Let i(x) = -111*x + 112*x - 55 + 12. What is i(w(m))?\nAnswer: -2*m**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 1 + 0*j + 1)*(-580*j**2 - 297*j**2 + 214*j**2) + 6*j**3 + 0*j**3 - 3*j**3 in the form u*j**3 + o*j + d*j**2 + s and give d.\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 d when four letters picked without replacement from hhssdhdsss?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 552569543 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23615861.\nAnswer: 23615861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549 is divided by 120.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 0.14 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 5}. Give prob of sequence yyo.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/5*(-95)\/19*1\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(3) + sqrt(3) + sqrt(3) + 2*sqrt(3) - ((sqrt(3) + 2 - sqrt(3)) + 5)))**2.\nAnswer: -80*sqrt(3) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/4 + 22595*p\/4 - 33897\/2 = 0. Calculate p.\nAnswer: -22598, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 5*z. Find the second derivative of 0 - 12*n**4 + z + 20*n**4 - 6*n wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a7 (base 11) to base 16\nAnswer: -ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -118198700 rounded to the nearest 1000000?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*m - l - 5 = -427*m, 2*m = 2*l - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1001)\/(-14) - 8\/(-16). Solve z = 45*w - 27*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by -100.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 213*v - 845*v + 205*v - 10 + 213*v + 213*v.\nAnswer: -v - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23886 + -23982.773. Let x = g + -0.227. Let l = -96.9953 - x. Round l to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 162*x + 2025. What is the remainder when v(12) is divided by 179?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*((-1 - 1 + 0)*(2*a**2 - a**2 - 4*a**2) - 1791*a + 1791*a - 1517*a**2)*(-a - 2*a - a) to the form o*a**2 + n + v*a**3 + x*a and give v.\nAnswer: 12088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -1370, -2305, -3240, -4175, -5110?\nAnswer: -6045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**2 + 18*w**2 + w**2.\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 51032548.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85223\/32472 - 2\/4059. Calculate the common denominator of b and 228\/(-8)*2\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*z = 10, -4*i + 5 = -2*z + 7. Let w be 31\/5 - (-7)\/(-35). Let m be ((-85)\/i)\/(-5) + (-3)\/w. Is -9 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18*1\/(-60))\/(18\/315))\/((-6)\/(-104))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 14 = f. Suppose 10*b - 3 = f*b. Let w(a) = -4*a**3 - a**2. Give w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318210 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5632751 (base 8) to base 14.\nAnswer: 2b84c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (83 + -83)\/(2\/(-2)). Let h*m**2 + 0 + 14\/9*m**5 + 52\/9*m**4 + 0*m - 16\/9*m**3 = 0. Calculate m.\nAnswer: -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918747917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose 3*n + 9 = -2*g, 6 = -m*g + 4*n + 18. Solve g*v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.069 and 359.\nAnswer: -24.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 divided by 23739.\nAnswer: -167\/23739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -50. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {b: 3, z: 1, v: 5, p: 8, r: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16540 (base 7) in base 3?\nAnswer: 20111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18891 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: Expand -4*m**3 + 3*m**3 + 2*m**3 + ((-10*m + 0*m + 20*m)*(-2*m + 0 + 0) + 2*m**2 + 0*m**2 - m**2)*(2 - 4 + 3)*(0 - 2 + 4)*(-8 + 8 - 16*m).\nAnswer: 609*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 22. Let i = -3 + g. Which is the nearest to i? (a) 4 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(7\/6)*w*w\/(w\/(w\/(w\/w**(-7)))) assuming w is positive.\nAnswer: w**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 4*a - 3. Let k(j) = -2*j**2 - 7*j - 5. Let x(z) = -5*c(z) + 3*k(z). Let g be x(-1). Factor -2\/3*n**4 + 0*n + g - 2\/3*n**2 - 4\/3*n**3.\nAnswer: -2*n**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 27. Suppose 0 = r + 2*q - 0 - h, 2*r - q - 10 = 0. Let b = r - -22. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15947 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -126 in 0.5, -10, -1.43, 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92718, 183107, 273496, 363885, 454274, 544663?\n\"Answer: 90389*n + 2329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:20 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose 3 = 2*r - 2*b - 3, -r + 4*b = -12. Suppose g - 224 = -5*a + t*g, 5*a - 4*g - 236 = r. What is the least common multiple of 20 and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 75186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -m - 2, 0 = -b + 4*m + 4. Let j = 2.1 - 2. Sort -4\/7, b, j in descending order.\nAnswer: j, -4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 13*o + 42. Let l(b) = b**3 - 7*b**2 + 11*b - 36. Let w be l(6). Give s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - -100. Suppose 6*s = 7*s - v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + a**3 + 7*a**3 - 3*a**2 + 3*a**2 - a**3 + (0*a - 2*a + a)*(-2*a**2 + 2*a**2 + 2*a**2))*(-5 + 3 + 4)*(-55*a + 10 - 10).\nAnswer: -220*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b - 1\/2*b**2 + 0.\nAnswer: -b*(b + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 11. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 184\/44 - 0\/(-2). Which is the closest to 8? (a) 4 (b) p (c) 1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vkfvffkfkkvkkk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295.00000326 - -295. Round j to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-60) - 206\/12. Let o be (-298)\/(-8) - 4\/16. Let y = o + j. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/((-1266)\/(-18)). Let t = s - -432\/1055. Let b = 27 + -161\/6. What is the third smallest value in 3, b, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1822.0255 - -58478.876.\nAnswer: 60300.9015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) - (sqrt(11) + 2))**2*-5 - (sqrt(11) - ((sqrt(11)*-1)**2 + -5) - (1 + sqrt(11) + -1)**2).\nAnswer: -sqrt(11) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1490 or 1484?\nAnswer: 1484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 159211.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from ewo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.9 and 30056527881?\nAnswer: 30056527865.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = -0. Suppose 2*y + 0*d - 4*d = -10, 5*d = -2*y + 26. Solve 16*i - 4 - 4 + 0*i**3 - 10*i**m + 2*i**y = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -1161, -2074, -3163, -4410, -5797?\nAnswer: -7306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/14)\/(((-24)\/10)\/((-67011)\/(-15955)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19*o**2 + 2*o - 8. Let t be j(-2). Let h = t + -55. Solve 0 = -y + 7 - h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3383 - 1906662*z + 3383.\nAnswer: -1906662*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40923227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2820 = -9*w - 2757 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -250, -248, -244, -238?\n\"Answer: w**2 - w - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.6 and 479.05120305.\nAnswer: 476.45120305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 5*z + 1. Suppose 9 = 5*j - 2*j. Calculate v(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 6029 = 5349 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 7*d**2 - 8*d + 4. Let p be (-1)\/4 - 99\/(-12). Let b be z(p). Suppose 0 = x + b*c, x - 8 = -x - 4*c. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-32)*(-208)\/12. What is the highest common factor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (358*(-1)\/5)\/((-448)\/(-80) + -6). Solve 43*n + d = -79 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3469078 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 766459 - 62.\nAnswer: 766397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40915 + -112475333\/2749. What is the closest to -8 in z, -1\/9, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1144?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1952387*0.3\nAnswer: 585716.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-5)*q*q*q**7)**(-26) assuming q is positive.\nAnswer: q**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(-43 - -37 - 19\/(-180)*57).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 35 = -6*m. Suppose m*r - r - 30 = 0. Suppose 4*w - 93 = -r. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -2 (c) 0.3 (d) 0.5 (e) -1\/7 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*t + t**3 - 26 + 42*t + 42*t + 0*t**3 to the form s + n*t**2 + f*t + z*t**3 and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22111021 - 21?\nAnswer: 22111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:24 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/12)\/(3\/(-9)). Let c(v) = v**3 - 6*v**f + 3*v + 0 - 3 + v**3 - v**3. Let k be c(6). Calculate the greatest common factor of k and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*m - 5*m. Factor -4*u**3 + 6*u**m + u**5 + 2*u**4 - 4*u**5 - u**5.\nAnswer: -4*u**3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 43. Let z(r) be the third derivative of -2*r**2 - 1\/120*r**b + 1\/20*r**5 + 0*r**4 + 0*r + 0 + 0*r**3. Find the third derivative of z(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6995463 and 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 28. Suppose -5*z = -d - 5, g*d - z + 1 = 3*d. Suppose 5*w - 267 + 17 = d. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 48 = 858. Let w = -137 + a. Let q be ((-265)\/10 + 0)*w. What is the highest common factor of 583 and q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*413\/(-1416).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:47 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706420 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*y = -48, -2*p + 22 + 2 = -4*y. Let x be 1\/5 - p\/40. Solve 8 = -4*o + 2*i, 0*o - o - 2*i - 12 = x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - l. Let o(y) = y**3 + 5*y**2 + 5*y + 5. Let a(h) = 6*m(h) - o(h). Let j be a(-7). What is j rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -897634526*g**3*k*o + g**3*o + 2*g**2*o + g*o - 1827*o + 496 wrt k?\nAnswer: -897634526*g**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(4\/(-40)*-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/19 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beu when three letters picked without replacement from biuquiewbbu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -459, -422, -385?\n\"Answer: 37*a - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g**3 - 3*g**2 + 2*g + 5. Suppose 5*d = n - 8, 0 = 2*n + 4*d + 14 - 2. Let c be h(n). What is the highest common divisor of 621 and c?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 8, -0.4 in increasing order.\nAnswer: -5, -0.4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14022030 (base 5) to base 14\nAnswer: -39b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -300 - -322. Calculate the highest common divisor of q and 660.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.047069 and -57?\nAnswer: -2.682933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.9 from -1.3.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3035 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from rrrryrtycyyrytyyyy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -11101?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = -0*p. Suppose 3*w + 4*d = -0*d, -2*w + 2*d + 14 = 0. Suppose j + 14 = -0*b + b, -w*j + 28 = 2*b. Solve b = p*k + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246 divided by 5?\nAnswer: -1246\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, i: 2}. What is prob of sequence ici?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 120.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 158*m**2 - 7*m + 15. Determine v(2).\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:36 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 2*j**2 - j**4 + (-3*j**3 + 3*j**3 + 2*j**4)*(-58 - 6 + 10) - j**4 - j**4 + 0*j**4.\nAnswer: -111*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75948.\nAnswer: 2, 3, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 415.33 and -5.\nAnswer: -2076.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559065 and 5490?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7125, 7123, 7121, 7119?\n\"Answer: -2*b + 7127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 - 7*a + 2. Let x be j(7). Let k be ((-4)\/3)\/((-4)\/6). Solve -x*u = -6 - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*t - 8550 - 4827 + 1443 = 0 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983947294.\nAnswer: 2, 11, 44724877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5, s: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 10. Let h(a) = a - 1. Calculate -f(c) + 3*h(c).\nAnswer: 2*c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5 + 7 = r, 4*r = -2*x - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 3. Let r be c(-3). Suppose s - 1 - 2 = r. Suppose 3*h + 4*g = 31, h - s - 6 = -g. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8964463\/213 - -42087. Calculate the common denominator of 139\/216 and w.\nAnswer: 15336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 2 + 1 + 0*w + 2*w + 5*w**3. Let j be 8\/6*(5 - 2). Let t = 167 - 170. Let o(d) = 6*d**3 - d + 4. Calculate j*v(q) + t*o(q).\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229 + -197. Suppose w + 3*l = c, -6*w + l = -5*w - 16. What is the remainder when 38 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2495 * -8468.2.\nAnswer: -21128159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21088424 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (3 + -3) - 2. Put 5, -4, y in descending order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (378\/24)\/9*(1*5 + (-13 - -20))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/29, -0.5, 1434055, 1\/5 in increasing order.\nAnswer: -0.5, -1\/29, 1\/5, 1434055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 69 + 9*p - 137.\nAnswer: 9*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21179667 and 1773.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -5\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 73102*d**2 + 32*d - 1. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (-10)\/6 - (-50534)\/66?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 450*b + 3204. Calculate m(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 5:48 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*l + 70, -8*w = -5*w + 3. Solve 42 = l*f - 9*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4090 + 4084. Let w(r) = r**2 + 13*r. What is w(k)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157919 and 737.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 482741983 and 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*o + 12 - 11, -3*o + 5*g + 35 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 22103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 20 = -4*a. Let m be (1 - 3 - a) + 0. Find the first derivative of -2*q**m - 3*q**2 - 26 + 28 wrt q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1054 - -1061. Let v = 248 - 245. Calculate the remainder when g is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 19*l. Let j be y(1). Let q = 44 - 148. Let k = j - q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3506846, -3506853, -3506862, -3506873, -3506886, -3506901?\n\"Answer: -i**2 - 4*i - 3506841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5661262 by 3.\nAnswer: 5661262\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is -642\/8339035 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(637) - (-3*sqrt(637) + 4) - sqrt(637) - (sqrt(637) - ((sqrt(637) - 1*sqrt(637) - sqrt(637)) + -2))))**2 + -2.\nAnswer: -2100*sqrt(13) + 16823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -431400 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 7*y - 4. Let x be c(6). Let 3*d**x + 30 + 7*d - 3 + 11*d = 0. Calculate d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + y + 3 = -3, -9 = -2*p - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -59.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -277, -416, -551, -682, -809?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**8\/168 - 22*b**7\/105 - 55*b**4\/3 - b**3\/6 - 2*b**2 - 33. What is the second derivative of q(u) wrt u?\nAnswer: 40*u**3 - 528*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14555250 + 12?\nAnswer: 14555302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 663 = 3*m, 3*c + 656 = -4*m - 226. Let h be 58\/7 - (-2)\/(-7). Is (m\/(-2))\/(4\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 18711.\nAnswer: 18714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*x + 3937 - 837 = 0. Which is the nearest to x? (a) 0.1 (b) 1 (c) 3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1919 - -2092. What is the remainder when 307 is divided by q?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (315\/36)\/(623\/4984)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -128314 (base 9) to base 5\nAnswer: -10001014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 26*s - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53403113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = h + 34, h + 23 = -2*l. Suppose 5*p = 15, -4*p - 84 = -8*n + 4*n. Let u = n + l. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-21))\/(-8)*(8\/40)\/((-4)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from gvyygt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0 + 0)*(11*r - 13*r - 12*r)*(r + 0*r + 4*r).\nAnswer: -70*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13084, -13113, -13162, -13231, -13320?\n\"Answer: -10*w**2 + w - 13075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*j = 3*j + 200, 0 = 5*j. Sort 2, 5, 4, a.\nAnswer: 2, 4, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24718706 or 67?\nAnswer: 24718706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 2*q + 5*v - 7, -v = -4*q - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3300\/1800*(-294)\/(-231).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216 - -216. Let u(s) = 0*s + s - 74 + v*s + 74. Let r(y) = -9*y**2 - 2*y + 1. Let m(z) = z**2 + z. Let i(g) = -4*m(g) - 2*r(g). Give i(u(q)).\nAnswer: 14*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*l - 4. Suppose -2*n - 3*j - 4 = -17, -l*n + 2*j = -2. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 2. Let b be n(-3). Let s be (21\/(-6))\/((-112)\/3520). Calculate the greatest common factor of s and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 + -2. Let v = -22 - -26. Which is the closest to -1\/3? (a) -0.3 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:52 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2 - 2*p**2 - 2*p**2 + p**3 + 2 + 3*p. Suppose 0 = -0*c + 5*c + 3*a - 21, 0 = 4*a - 8. Give z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 1a23c577?\nAnswer: 1a23c578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -1.12. Let b = 5.1 - o. Let n = 4.000254 - b. What is n rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91611 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1. Let m(y) = 49*y + 8. Let i(l) = -59*l - 6. Let s(a) = -5*i(a) - 6*m(a). What is 18*f(z) + 2*s(z)?\nAnswer: 2*z - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 8*r**2 + 10*r + 12. Let w be q(-9). Suppose -4*c + 3145 = k, 2*k + 15 = -w*k. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 6*p + 5. Let h be d(3). Let m be 4*(1 - (0 + 0)). Suppose -m*z = 3*k - 15, -h = -z - 0*z - 2*k. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4, 5 = 3*a - 4*k + 3*k. Determine c, given that a*c**2 - 5*c + 19 - 2*c - 7 - 3*c = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/12191868 and -127\/156.\nAnswer: 12191868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557320 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 206 - 185. Suppose 19*i - 5 = b*i - 5*n, -i + 5*n - 5 = 0. Solve -5*t = -4*g + 24, i = -0*t + 2*t + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.02193 - -0.02193. Put -59, -0.3, k, 2 in decreasing order.\nAnswer: 2, -0.3, k, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 12*v + 16. Let r be y(-11). Let a(g) = 3*g. What is a(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and 0.1.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 10 = 3*u. Let a be 5*((-2)\/u)\/((-20)\/6). Solve -a*o - 2*o - 2*m + 18 = 0, -2*o - 3*m = -5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265115 is divided by 88357?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**3\/3 - 48*h. Let z(g) = -16*g**2 + 3. What is m(z(s))?\nAnswer: 32*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-4))\/((-3)\/(-4506))*2 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11182162.3 to the nearest one thousand.\nAnswer: -11182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.4, -1, 15 in descending order.\nAnswer: 15, 0.4, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - 6) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxbbb. What is prob of sequence xxb?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*s - 9. Solve 20 = 7*r - s*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -0.6. Let d be ((-4148)\/1290 - 0) + 3. Let l = d - -2\/129. Sort l, 3\/5, m in increasing order.\nAnswer: l, 3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10151, -21634, -33117?\nAnswer: -44600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2282 - 1023. Calculate the remainder when z is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011001000101000110100 (base 2) to base 15.\nAnswer: 1563236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - 388\/(-14). Let w = r + 41. Which is smaller: 70 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -37, -90, -173, -292, -453, -662?\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 9) + 2 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/7 - 25148*g**3\/21 - 1364966*g**2\/21 + 100592*g\/21 + 5459960\/21 = 0. Calculate g.\nAnswer: -12409\/3, -55, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yel when three letters picked without replacement from yeeoeeooeoeyelee?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 2*w - 3. Let f be b(3). Suppose 0*n - 3*z + 8 = 2*n, f = 2*z. Let y be (-4 + 4)\/(-2 + -8). Solve -t + n*t = y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000053833318 to 6 dps.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -91, 24 in descending order.\nAnswer: 24, 5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.69 + 10.31. Let t = -9.19 + j. Round t to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 21*d**3 - 20*d**2 - 17*d + 80. Let l be z(-15). What is l rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/9)\/k)**39)**1)**33 assuming k is positive.\nAnswer: k**(-1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 1.965. Let k = d + 7.235. Round k to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -312 from -0.1.\nAnswer: 311.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from uuuumuuzmzuuuuu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(252))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 6*u**2 + u - 6. Let y be m(6). Let n(l) = l**2 - l + 6. Let r be n(y). Solve -3*k - 3 - r = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 1521275 = -12*h + 3121041. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - n**2 + n**2. Let w be (-4)\/(-2) - (-5 - 6). Let p(f) = -5*f**2 + w*f**2 - 6*f**2. Determine l(p(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*a + 0 = -1, -a + 1 = 0. Let g(k) = k - 1. Determine g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.48 - -2.4. Let v = -0.12 - l. What is the closest to -1 in v, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2159648847 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*f + 5*o, 4*f + 2*o = 42 + 32. Calculate the smallest common multiple of 1026 and f.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - y**2 - y. Let o(h) = 22*h**3 - 10*h**2 + 12*h. Let g(x) = 17*x**3 - 8*x**2 + 11*x. Let q(v) = 7*g(v) - 6*o(v). Give 4*p(d) + q(d).\nAnswer: -9*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.66988024 + 11.67. Round h to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1073302311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43.7 + -43. Let j = 91.4 - 91. Which is the closest to w? (a) j (b) -1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -230*y. Let m(a) = -168*a. Determine j(m(f)).\nAnswer: 38640*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 4*r - 2. Let w be ((-3)\/3 + 0)\/(1\/6). Give b(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 30*q - 919. Solve -35*w + q = -41*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-25) + 34\/(-425))*2\/(-28).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdnqvwd. Give prob of sequence xn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99734 is divided by 81725.\nAnswer: 18009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*c - 406, -19*c + 17*c = -2*z - 272. Suppose 0 = 2*k - 23 - 47. Calculate the remainder when c is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1053 and 158548?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5040)\/210*4\/10*-10.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(-2*h + 6*h - 2*h) + (6 - 1 - 3)*(-3 + 2*h + 3) + (-3 + 0 + 1)*(5*h - 3*h + h) in the form b + i*h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 91 = -4*w + 129, -115 = -2*w + 3*a. Let v = -46 + w. Solve -c = -v*z + 4, 0*c - z = -4*c + 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 6*r. Let y be -9*(-89 + r\/(-6)). Calculate the common denominator of -2\/3 and 8\/(1296\/y) - 2\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*a, -4*c + 33 = -3*a. Suppose -1218 = -c*i + 3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24597*d*l**3*o - 20*d*l**2 + 3*d*l + 2*d*o + 113*l**2*o wrt l.\nAnswer: -147582*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3 - 8) + (44 - 47).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = h - 5. Suppose -13*b + u = -11*b + 69, 3*u + 163 = -4*b. Is h greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.02, 11123, -0.04, -1, 2\/7, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:25 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-136)*2\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.93 - -1.9299779. What is k rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b (base 16) to base 7.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*b = -56, 28*p - 5*b + 59 = 27*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3393, -1, 1, -13 in increasing order.\nAnswer: -13, -1, 1, 3393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10554?\nAnswer: 2, 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, d: 3, s: 4, o: 1}. Give prob of picking 3 d and 1 o.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/((-8)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = d + 2*p, p = -0*d - 2*d + 21. Let z(m) be the second derivative of 0 + 1\/6*m**3 - d*m + 0*m**2. Let c(i) = 4*i. What is c(z(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -14 (c) -3203\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggugguggggugugggg. What is prob of sequence uuug?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w*w**(1\/24))\/w*w)*w)\/(w\/((w\/(w**(-5\/3)\/w))\/w)) assuming w is positive.\nAnswer: w**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, p: 3}. Give prob of sequence papa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2673*o**6*z**2 + 1545*o**6 + 39*o**2 + 3*o*z**2 + o - 10*z + 39 wrt o.\nAnswer: 320760*o**3*z**2 + 185400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 34*p**2 + 2*p + 2. Let y be g(-1). Suppose y = n + n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-27)\/9*(-22)\/4. Let n be i\/77*4\/(-6). Is 13 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*w**2 - 2296*w**2 + 638*w**2 + 642*w**2 + 632*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-105)\/(-5)))\/(270\/162).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*i + 23, -5*i - 13 - 6 = 3*b. Let k be b\/(-5) + (-2)\/(-5). Find the second derivative of 3*t**5 - t + k*t - 6*t**5 + 0*t wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + -88 + 84 + 4 + -24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3 - (-10012813)\/(-20)). Let k = 495829 - m. Let q = k - -4816. Find the common denominator of q and 103\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - j**2 + j + 1. What is the remainder when g(-2) is divided by 3 - (2 + -1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1294, -2582, -3870?\nAnswer: -5158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46.22311 milligrams?\nAnswer: 0.04622311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -17. Let z be o + (-2 - (-1 - 0)). Suppose 2*w + 3*w + 5 = 0, -z*y + 200 = -2*w. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81090 divided by 5\nAnswer: -16218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 34. Suppose -p*a - g - 13 = -5*g, -4*a = -g. Which is bigger: 6\/47 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**3 + 106715*h**2 + 106695*h.\nAnswer: 5*h*(h + 1)*(4*h + 21339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -431\/3 + 138. Let j = b - 17\/6. Calculate the common denominator of j and -29\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6535 - -1?\nAnswer: 6536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f - 2. Is r(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -120 (c) 2\/15 (d) 1\/6 (e) 160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45a079c - -5?\nAnswer: 45a07a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -0*d - 4*d. Suppose 5*o = -0*o + d. Let x = o + -7. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kspssssas. What is prob of picking 2 s?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.1, 5, 4, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) - sqrt(4)\/sqrt(2)) + -5 + -1)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -50*z**3 - 2*z**2 - 2*z - 1. Let w(k) = k - 4. Let v be w(4). Suppose 3*a + v + 3 = 0. Is d(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-513568)\/5836*1*(-15)\/20?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 76598.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 49 * 0.1\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 - -217.36. Let l = u + -10. Let y = l + -0.3600027. What is y rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 2*t + 4. Give q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1. Let v(m) = 368*m + 32. What is 32*c(z) - v(z)?\nAnswer: -368*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 + 459*u**4 + 2673*u**3 + 3969*u**2.\nAnswer: 3*u**2*(u + 3)**2*(u + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 99*v**6\/40 - v**5\/15 + 7*v**4\/24 - 2*v**3\/3 - 2*v**2 + 44. Let w be g(3). Round w to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 4:06 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 953214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(249\/1245)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 74?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2707 and 56457192?\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4))**(-4\/19) assuming o is positive.\nAnswer: o**(-3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-16))\/(-9)*-24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(21\/36))\/(-2). Solve 2*d - 4 = 5*g, -3*g = 4*d + 12 + p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2*i**3\/3 - 4*i**2 + 6*i + 5. Factor c(p).\nAnswer: 2*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 30. Let r = -33 + f. Suppose -2*u = u - 15. Put r, u, 1 in ascending order.\nAnswer: r, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 11*c - 17. Let a be 0 + 2\/(-3) - 66\/9. Let x be t(a). Calculate the greatest common divisor of x and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5534862793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose d - h = -6*h + p, d - 3*h = 2. Let c = 5 - d. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/4)\/(-1) + (-42756)\/(-336)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -90*w - 4. Let f(b) = 0 + 7 - 4 + 60*b. Let a(k) = 7*f(k) + 5*p(k). Let u be a(-1). Calculate the highest common divisor of u and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -7*a**6\/6 - 7*a**2\/2 - 5. What is the second derivative of d(b) wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 27*y**2 + 118*y + 2417. Determine s(-27).\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 10*y + 4. Let g be m(10). Suppose -3*d + g*t + 9 + 2 = 0, t + 17 = -4*d. What is the least common multiple of ((-42)\/(-2))\/(0 - d) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/24 - (-31)\/(-6). Let j be t*(4 + 68\/(-20)). Let p = -3\/2 + 1. Sort j, p, -2\/7 in descending order.\nAnswer: -2\/7, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:22 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*r + 26649 = 34629 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1827*x - 1442*x + 59302 = -31982 - 248 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 - 168. Let m = d + 41.3. What is the closest to -10\/7 in -3\/4, m, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.6 - 12. Let m = 5.6 - x. Let w = -137 - -137. Which is the nearest to 2\/5? (a) -1\/2 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224 (base 10) to base 16\nAnswer: -e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3 - 1128306*j**2 - 1128309*j = 0. Calculate j.\nAnswer: -1, 0, 376103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 88 + 22 = 0. Let n = 9 + d. Find the third derivative of q**5 + 6*q**5 - 50*q**2 + n*q**2 + 10*q**5 wrt q.\nAnswer: 1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 13*x = 10. Suppose -5*d = -2*d + 6, -5*t - 2060 = x*d. What is t rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(121) - 6*-1*sqrt(121)) + (-1*2*sqrt(121) - sqrt(121)))\/(sqrt(1100)*-1*-5))*1)**2.\nAnswer: 12*sqrt(11)\/25 + 5669\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 379*j**2*s*u**3*z + 2*j**2*u**3 - 2*j**2*z + 3*j**2 + 601*s - 2*u*z + 2 wrt z?\nAnswer: 379*j**2*s*u**3 - 2*j**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*g - 12*g = -226*g + 194516088. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.1. Let b be ((-4)\/54*-3)\/(16\/18). Put h, 8, b in ascending order.\nAnswer: h, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 8*m + 78. Let i be q(-13). Differentiate 58*n + 41 + 73*n + i + 2 + 64*n with respect to n.\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6 and -53\/28572?\nAnswer: 28572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -4, -0.04, -1\/12, 1\/49, 1\/8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 10*u + 0*u. Let v be n(0). Which is greater: v or -6\/31?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-103*19 + 4). Suppose 3*u + l = 10*u. Suppose 36 + u = 5*n - 5*j, 4*n - 264 = -2*j. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003006 rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from spw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 442, 681, 924, 1171?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2620 + -5019. Let y = -578 - v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 11. Suppose -3*z - 4*y - y = l, -2*z = -y - 10. Suppose 12 = v - k + 3*k, z*v - 36 = 4*k. Calculate the remainder when 45 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*r - 99. Let z = -37 + 55. Let n = r - z. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-900) - (677\/3)\/(475\/(-57))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25\/2 + -12. Let t = -5 + 5.02. Let h = 2.98 + t. What is the third biggest value in h, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 7. Which is the nearest to 0? (a) 0.5 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37200809 is divided by 108?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*(q\/(q*q\/(q**(-6)*q*q*q*q))*q*q)\/q)*q*q**(-4)*(q**(-2\/5))**40 assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/2 + 2871*h**2 - 63041*h\/2 = 0.\nAnswer: 0, 11, 5731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100001 - 101?\nAnswer: 111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 7*g**2 + 6*g. Let y be b(6). Solve y = x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3611166, 3611081, 3610852, 3610407, 3609674, 3608581, 3607056?\n\"Answer: -12*m**3 - m + 3611179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 5, p: 7, e: 8}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -48. Let k be 2 + -2 + (-6 - -6). Which is the biggest value? (a) 1 (b) -1\/3 (c) k (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*d**2 - 2*d + 0*d**3 + 11 - 35 + 24 + 2*d**3 to y*d**2 + l*d + n*d**3 + b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/7 + 2 + (-87)\/609.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 420488569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21603 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 518479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517661854.\nAnswer: 2, 3, 29, 181, 26647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191 divided by -191.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/2 + 63*y**2\/2 - 42*y. Let b(z) be the first derivative of w(z). Let v(k) = -6*k**2. Determine v(b(j)).\nAnswer: -864*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87783577 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109061527 - -109061526.692060755. Let t = c - -54.307946645. Let n = 54 - t. Round n to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184100000 rounded to the nearest one million?\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 333 + -2?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24627690 = -689*b + 644*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 49, 108, 191?\n\"Answer: 12*o**2 - o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2003641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62923 and 2.\nAnswer: -62921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 140 times 164\nAnswer: 22960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(30\/5)*(2 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 48*m - 294. Let j(p) = 2*p**2 - 48*p + 296. Let t(g) = g**2 + 12*g + 17. Let r be t(-2). Let y(q) = r*j(q) - 4*v(q). Solve y(k) = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -933, -1418, -1921, -2448, -3005, -3598?\nAnswer: -4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)\/(a*((a*a**28*a)\/a)\/a))\/(a**(-2\/9)\/((a*(a**5\/a)\/a*a*a)\/a)))**42 assuming a is positive.\nAnswer: a**(-3500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 39. What is the remainder when t is divided by (6\/4)\/(-3)*-12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*o**3 - 378*o**3 + 195*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 15 = -3*y. Suppose 2*u = -4*r - 12, y*u + 2*r + 7 + 3 = 0. Let k(t) = -t**3 + 4*t**2 - t + 5. Let d be k(4). Sort u, d, 3 in ascending order.\nAnswer: u, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 694*q - 71027. Determine b(-126).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1264 = -8*z + 200. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -226, -4, 2 in increasing order.\nAnswer: -226, -8, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 6*c + 40. Differentiate -99*i - 16 - 34*i**c + 99*i wrt i.\nAnswer: -136*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 4*n - 1. Let x = 13 + -18. Let d be -2*1\/(-2) + 2. Let h(v) = -v**2 + 7*v - 1. Determine d*h(z) + x*g(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let n = -3 - -5. Suppose 3*p + 2*g = 17, -5*p = n*g - 10 - 13. Let q(j) = j - 3*j + p*j. What is u(q(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/y)**45\/((y*y*y**8*y)\/(y*y\/(y*y**9*y))) assuming y is positive.\nAnswer: y**(-175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 29 + -39 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3865042 and 44722.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*s + 19, 10 = 3*n + 2*n - 5*s. Suppose -2*r + n - 1 = 0. Let j = 0.95 - -0.05. Which is greater: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - d - 2. Suppose -3*g - 3*n = -5*n + 35, -5*n - 6 = g. Let x(y) = 8*y**2 - 2*y - 6. Let t(c) = g*p(c) + 4*x(c). Factor t(m).\nAnswer: -(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 1. Let z be g(3). Let s be (-5)\/((-2)\/(-44)*-2). Suppose j - 4*a + 19 = s, -z*j + 5*a = -166. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r + 63 = 0. Let u be (4\/(-14))\/((-135)\/r). Which is the nearest to 0? (a) 1\/4 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -16*l + 317. Let w be t(20). Let f(y) = y**2 + 5*y + 9. What is f(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a. Let h(s) be the first derivative of s**4\/3 - 12*s + 5. Let u(v) be the first derivative of h(v). Calculate b(u(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -177662 (base 8) to base 11\nAnswer: -451a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6d2 (base 14) to base 12\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-2 + -5.\nAnswer: -6*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -207125*f + 1864123. Calculate o(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*b + 2*b - 29, -23 = 2*s - 3*b. Let j be 17\/2 + 2\/s. Solve 2*q + 0*q + j = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6166 to the nearest one hundred.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64538 or -65201?\nAnswer: -64538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/60 - 291*r**2. Let h(a) = -a**2 + 3. Determine -2*b(n) - h(n).\nAnswer: -n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/109?\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 28. Suppose 0*u - 5 = -2*x - u, -z*u = -2*x. Solve 0 = -0*t - x*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 97, 228, 387, 574?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgll when four letters picked without replacement from {l: 5, j: 1, g: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)\/sqrt(4)*-6.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 3:25 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + 0*g - 2*g - g - g - 1 in the form z*g**3 + w + c*g**2 + i*g and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 26 + 400 = -204 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6490*c + 3316*c + 3801*c. Let z(w) = -2*w**2. Calculate j(z(k)).\nAnswer: -1254*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196 + -192. Suppose -2*z = -v*a - 262, 0 = 2*z + 5*a - 17 - 245. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -3, -1124, 1, -2 in descending order.\nAnswer: 15, 1, -2, -3, -4, -1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (5 + -1213)*(7 - 4)\/(-6) and 12?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1610\/19 + 207614\/2451. Does 0 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 12*y - 196. Let r(d) = -d + 49. Does 4 divide r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22536 + -22535.80001. Let l = 3.5 + -3.7. Let d = l + h. What is d rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + -2. Let i = -6 - x. Suppose -2*r - b = -13, i*r - 23 = -2*r - 5*b. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**2*x**5 + j**2*x**2 - 11619486*j**2*x - 3889334*j*x**3 wrt x.\nAnswer: -180*j**2*x**2 - 23336004*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620, -1220, -1818, -2414, -3008, -3600?\nAnswer: -4190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((8 - 13) + (-490)\/2 - -6)\/1. Which is the nearest to 2\/3? (a) -5 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, 2, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*w - 2*h - 3*h, -4*w + 88 = -3*h. Suppose -d + 12 + w = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*g - 1. Let h(u) = -u + 16. Let c be h(26). Let z = c + g. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1314 - 1318. Which is smaller: 4\/243 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*c + 150 - 136 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**7\/560 - h**6\/80 - h**5\/40 - 49*h**2 + h. Factor d(m).\nAnswer: -3*m**2*(m + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19291.32 take away -0.4?\nAnswer: -19290.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -3*h**6\/40 + 7*h**3\/6 - 4*h**2 - 12*h. Let u(s) be the first derivative of l(s). Differentiate u(p) with respect to p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -4 (c) -363 (d) 8 (e) -1\/15 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -4. Let p = j - -14. Let k = p - 9.2. What is the second smallest value in -4, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 4. Let f = 4.5 + k. Which is the third biggest value? (a) f (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600853017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((54\/1530)\/(((-408)\/17)\/120)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 4719.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-3 + -9)\/4 + 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -144, -139, -132, -123, -112, -99?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 90 = 9*b, -30*o + 60*o - 6 = -3*b + 23*o for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4180 and 30\/803.\nAnswer: 305140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996*l**2 + 20 - 20.\nAnswer: -996*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -24*b + 29*b. What is the lowest common multiple of b\/(-7) - (-2)\/(-7) and 57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 3. Let n = -1 - d. Let l = 123 + -105. Calculate the remainder when l is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 2, 1 in descending order.\nAnswer: 92, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 124, 6, -308, -914, -1908, -3386, -5444?\n\"Answer: -16*f**3 - 2*f**2 + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, 4, -4, 5, 0 in decreasing order.\nAnswer: 5, 4, 1, 0, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 5}. Give prob of picking 3 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25456 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.4 (b) 0.1 (c) 72756 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 - 13*v**3 + 31*v + 49*v**3 - 21*v**3.\nAnswer: -2*v**3 + 31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooozp. Give prob of sequence pop.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 136. Suppose 5*y - 5*t = -t - 61, 0 = 2*y + 4*t + 30. Calculate the remainder when w is divided by 2*1\/(-2) - y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2208014, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5712, 5711, 5710, 5709, 5708, 5707?\nAnswer: 5706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 10001001111110?\nAnswer: 10001010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1\/2, 7, -1\/10 in decreasing order.\nAnswer: 7, 1\/2, -1\/10, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104207 - 104199 + 208413 - 2*p**2.\nAnswer: -2*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 8*r**2 + 7*r + 8. Let h be s(9). What is the hundreds digit of (-8152)\/h - (-24)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*i - 240*i = 64. Let w(p) = -p**2 - 5*p + 7. Let n be w(-6). Let y(j) = -3*j**2 - j + 1. Let k be y(n). Put i, k, 3 in decreasing order.\nAnswer: 3, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/18)\/(((-8668)\/264)\/(-197))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxl when three letters picked without replacement from xmkmkrklk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1505.4 and 4?\nAnswer: 1509.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:17 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 6)*(-2*b + b - b) + 4*b - 2*b - 3*b)*(-b**2 - 6*b**2 + b**2) + (3 - 3 + 2)*(-10*b**2 - 22*b**3 + 10*b**2) + 2*b**3 + 0*b**2 + 0*b**2.\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 46*q**2 + 300*q + 17. Determine x(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 8 + 7. Solve -3*g = -r*w - 3, -g + 8 = w - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2463117 - -0.0475013. Let u = c - 0.294. Round u to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbkb when four letters picked without replacement from hrrekvkervbbrvv?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -52, 0, 3, -1 in decreasing order.\nAnswer: 3, 0, -1, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 9. Calculate w(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 - 37021.66.\nAnswer: -36999.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 - -2159\/8. Let l = -31 - -95\/3. Which is the nearest to -1? (a) h (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(2\/9))**(-15))**(8\/3))**(43\/3))**(8\/13) assuming v is positive.\nAnswer: v**(-27520\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:45 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -50, -70, -88?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10492, 10495, 10498, 10501, 10504?\nAnswer: 10507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 33*u - 2 = 0. Let n be (-90)\/(-36) - u\/(-2). Solve 5*x - n*l + 30 = -7*l, x = -2*l - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b - 24*b + 3*b + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 84 - 37 = 3*w, 7*w = 5*x + 93 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1246, 5024, 11328, 20164, 31538, 45456, 61924, 80948?\n\"Answer: g**3 + 1257*g**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1521*d - 5. Let f(z) = -12*z. Calculate f(s(j)).\nAnswer: 18252*j + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 - -701\/5. Let u = -4 + -1. Which is the third biggest value? (a) z (b) u (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0588 and 23.7.\nAnswer: 23.7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/10 + 8\/(-3). Sort -3, u, -2\/5 in descending order.\nAnswer: -2\/5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 19, 31, 47, 67, 91?\n\"Answer: 2*l**2 + 2*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*y**3 + 54*y**3 + 3 + 39*y**2 - 6*y**2 as w*y + m*y**3 + t + x*y**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*z - 15 - 29 + 44 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 - -2.165. Let j = x - -0.035. Which is the nearest to -1? (a) -17 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 9*v + 72. What is the smallest common multiple of y(-9) and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66020 divided by 9.\nAnswer: -66020\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*v**5 - 958*v**4 + 25*v**3 + 10584206*v**2 + 3*v wrt v.\nAnswer: -8280*v**2 - 22992*v + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (-3*sqrt(204) + sqrt(204)))\/sqrt(12) + -1*sqrt(2057))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99380338*n**5 - 231981*n - 3 wrt n?\nAnswer: 1987606760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 + 9894*u\/7 - 7163816\/7.\nAnswer: 2*(u - 641)*(u + 5588)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 650 + -648. Solve 5*x = -0*x + 20, -4*x + 6 = -i*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/9 + -847\/450. Let v(u) be the third derivative of 0*u + d*u**5 - 1\/525*u**7 + 3*u**2 - 1\/60*u**4 + 0*u**3 + 1\/300*u**6 + 0. Factor v(s).\nAnswer: -2*s*(s - 1)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 46*i**4 + 619*i - 619*i + (-4*i**2 - 4*i**2 + 6*i**2)*(-104 + 104 - 14*i**2) as g*i**3 + a*i + z + s*i**2 + o*i**4 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 269768*s - 54581080368.\nAnswer: -(s + 404652)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Let v = -1 + j. What is the closest to 0.1 in 5, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 20*l**2 + 44*l + 25. Calculate w(22).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + 2 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1 - 0 - -48. Let k be ((-2)\/(-4))\/(4\/q). Let m = k + 3. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1044*g**4 - 27*g**2 + 6 + 1056*g**4 - g + 29*g**2 as k*g + t*g**2 + f + j*g**3 + n*g**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-15))\/((-8)\/20)*3831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*w + 11, 5026*r - 5030*r + 28 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 8:32 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 637 and 8651656?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -2*s**2 - 6*s + 0 - 3\/2*s**3 - 1\/12*s**4. Determine k(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let p(v) = -5*v. Let o(n) = 2*n - 3. Let m(w) = -w + 2. Let j(d) = 3*m(d) + 2*o(d). Determine c*p(b) + 6*j(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408880.\nAnswer: 2, 5, 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -a982e0?\nAnswer: -a982e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 13*t + 8. Let y be c(-13). Suppose -6*b = -10*b + y. Suppose -b*h = -5*h + 135. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**4 + 97*r**3 + 2592*r**2 + 4900*r + 2404. Let l(h) = -h**3 - 2*h**2 + 1. Let m(v) = -c(v) + 3*l(v). Find t such that m(t) = 0.\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205258 and 1292.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 4532376. Suppose -l + 106188 = 4*v. What is v rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.62*-3\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 12*g**2 - 10*g + 1. What is b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134220 (base 5) to base 2.\nAnswer: 101001011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ievzzazizvozozzoazzz. What is prob of picking 1 o and 1 i?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*c*k**3*x - c*k + 201*c*x - 5411*k**3*x + k*x wrt c?\nAnswer: -26*k**3*x - k + 201*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3553, 3567, 3579, 3589, 3597, 3603?\nAnswer: 3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -84*a + 182*a - 86*a. Let b(t) = 2*t**2. Give b(m(v)).\nAnswer: 288*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152947 is divided by 76462?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*i, 4*i + 19 = 4*x - x. Suppose v - x + 5 = 0. Let w = 8 + v. Solve -w*a + 3*h + 5 = -2*a, -5*a = -3*h - 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 + 4.3. Let g = -20.7 + p. Is 1 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/((-34)\/(-85))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -15, -11, -9, -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose -26 = -3*t + 5*y, -t + 5*y = g*y - 14. Suppose 8 = t*o - 4. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24261477563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n - 13. Let y be (-6 - -3)*3 - -3. Let p be o(y). Find the third derivative of 4*q**2 - p*q**4 + q**4 + 3*q**2 + q**4 wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 2*x + 1. Let r be v(4). Let h = 44 - r. Suppose 2*l - h + 15 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/110, 52, 0.1, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from ttccccttcctcc?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**7\/2520 - u**5\/30 - 3*u**2. Let z(w) be the third derivative of i(w). Let v(m) = 2*m. Calculate z(v(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 1:46 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 4*o + 4. Let a be q(1). Suppose 68 = -0*s + a*s. Calculate the remainder when 118 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13991718?\nAnswer: 2, 3, 13, 179381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 42 = -2*i, -m = 3*m + 2*i - 54. Suppose -18*b - 1255 = -5*z - 13*b, -3*b - 1259 = -5*z. Let y = 264 - z. Is y >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/8 + 89*z - 15842.\nAnswer: -(z - 356)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -4\/9, 2\/1153, 2\/17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -25*-1*3\/1059. Let i = -171077\/3177 + o. Let b = i + 54. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 109*w**3 - 67*w**3 + 416*w**3 + (2*w**2 - w**2 - 3*w**2)*(4*w + 3*w - 6*w) + w**3 - 2*w**3 + 4*w**3.\nAnswer: 459*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in 1, 2\/9, 0.52, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 3 - 11*o - 3 with respect to o.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7727139 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 27*c**2 + 6*c + 6. Let m(b) be the first derivative of 649*b**3\/3 + 143*b**2\/2 + 143*b - 1930. Calculate 143*g(z) - 6*m(z).\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -177*s + 889. What is q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:58 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y, -3*o = y - 4*y - 30. Let s be -55*(1 - (-6)\/(-10)). Let f be (-260)\/(-22) + (-4)\/s. Is f greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 425 = 495. Suppose 0 = -0*x - x - o. Does 32 divide x\/(-6) - (-8)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -935\/3708 + 2\/927. Let i = 0.0008 + 0.0992. What is the second smallest value in m, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28866 - -32145.8. Round q to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 4*y**3 - 15 - 6*y**2 + 16*y**2 - 3*y**3 - 8*y**2 - 18*y as c + m*y + k*y**2 + i*y**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 - 4\/(-6). Suppose x - 252 - 303 = m. Suppose -h + 4*h = x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2975778352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123111, -246091, -369071, -492051, -615031?\nAnswer: -738011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 808 - 1611 + 6*i + 803.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-21) + -2 + 324\/63.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670576668?\nAnswer: 2, 3, 199, 280811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddq when four letters picked without replacement from {d: 3, q: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 79 (c) -5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254 - 266. Let o be (z + 102\/8)\/(15\/8). Which is smaller: -34 or o?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 112 = -10*p. Suppose 0 = -2*w - 4*y + p, -5*y + 4*y - 4 = -w. Solve 0 = s + 7*h - 2*h + w, 0 = s - 4*h + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4445*r**2 + 34*r - 4445*r**2 + 8894*r**2.\nAnswer: 4*r**2 + 34*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 + 4315*u**3 = 0.\nAnswer: 0, 863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -43. Let f = 25 - r. What is the closest to 1\/3 in -0.4, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/6 + (-16)\/3. What are the prime factors of ((-52)\/8 + n)*-6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -8013807.\nAnswer: -8013806.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/14404 and -127\/11998532.\nAnswer: 11998532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 204?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 5?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*c - 139 + 596, -c = -5*k - 130. Let h = c + -68. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v + 13. Let f(g) = -2*g + 3. Let w(y) = -26*f(y) + 6*k(y). Let p(c) = 4*c. Give p(w(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (76 - ((-7 - 31) + 72)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = 64*a - 330 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1748 divided by 134?\nAnswer: -874\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbbbbbbpppbbbpbbbb. What is prob of picking 1 b and 1 p?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2526 is divided by 633?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1 + -5 + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 3 + 2 + 0. Let s be k\/12*1 - 0. Which is the third biggest value? (a) -3 (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268840 by 2.\nAnswer: -134420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 653889622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 7*k = -60 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/10)\/(1326\/39). What is the third biggest value in -0.1, -1, 5, q, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3838000 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -234364 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 121, 964 in descending order.\nAnswer: 964, 121, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22306929 and 658619.\nAnswer: 22965548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 20 (c) 107 (d) 0.12 (e) -3 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*a - 15. Let l be a - (-284)\/((-8)\/2). Let f be (-6)\/24 + l\/(-8). Solve f = 2*q + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10572981\/76300 + -15134\/109. Let s = 4\/175 + o. Does -5 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6197 + -8181. Is -1985 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -646*g**5*p**2 - 10258*g**5 - 63699*g**2 - 61*g*p**2 wrt g.\nAnswer: -38760*g**2*p**2 - 615480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8163 is divided by 4050?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 3\/7, -4\/7, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 11578?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*x + 5960, 0 = -f - 5*x + 7*x + 1493. Let c(a) = 0*a - f + 1485 + 19*a. Let d(n) = -5*n**2. Give c(d(t)).\nAnswer: -95*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 15 - (0 - -1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 36 = -6*q - 3*n, -5*q = 5*n + 40. Let r be 2 + q\/12*4. Factor r - 4\/13*j + 6\/13*j**2 + 0*j**3 - 2\/13*j**4.\nAnswer: -2*j*(j - 1)**2*(j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = -4*k + 12*v - 11, -k - 2*v - 5 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 50 = 2*t, 16*t - 21*t = z - 125. Solve 3*q = 3*j + t - 1, 3*q - 5*j = 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -180453432 and -20966.\nAnswer: -180474398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(12\/40))\/(-1). Suppose 0 = -23*k + 137 + 47. Calculate the remainder when ((-92)\/(-5))\/((-4)\/v) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:38 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -455*n - 1768. Let w be i(-4). Calculate the greatest common factor of 260 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {j: 13, y: 3, d: 3}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*j - 58*j - 9 = 0. Let o be ((-15)\/j - -1)*9\/309. Is o >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -70. Let w = -41 + p. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(sqrt(891) + 4*((1 + sqrt(891) - sqrt(891)) + sqrt(891)) + sqrt(891)))**2.\nAnswer: 172800*sqrt(11) + 12836800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/1 - (-1 + -10). Solve f*a + 9 - 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/7, -4, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2. Let b(t) = 34033*t**2 - 1. Determine b(o(h)).\nAnswer: 850825*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 38*g + 191. Let s be j(-32). Let a(o) = -2157*o**3 - 3*o**2 + 3. Is a(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10544 - 376*a + 2*a**3 + 10544.\nAnswer: 2*a**3 - 376*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210333103 (base 4) to base 5.\nAnswer: 14322012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*(r**35\/r)\/r assuming r is positive.\nAnswer: r**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 11*m**3 - 41*m**2 + 159*m + 468.\nAnswer: (m - 13)*(m - 4)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104 - 4*q + 0*q + 221 - 111 - 32*q**3 - 3*q to k*q**2 + z*q + x*q**3 + j and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 7 - 3. Sort r, 5, 0 in descending order.\nAnswer: 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/2019 - -1318\/14133. What is the second biggest value in 2, 28, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d - 5. Suppose -482*h = -7176 - 1500. Calculate the remainder when w(-5) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9327 less than 4499.053?\nAnswer: 13826.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/21)\/(-5*(-6)\/(-105))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.05901 micrometers in nanometers?\nAnswer: 98059.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -514706181 divided by -17748489\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - 693\/(-81))*-1. Put l, 3, 5 in descending order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 7308?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 1596 = 15*b. Which is smaller: b or 688\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*v - 27*v + 312 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from iddl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -a + 2*j + 4, -2*j = 2*a - 32. Let x = -20 + a. What is the remainder when 3 is divided by (-4)\/5*15\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d = 46*d - 5*a, -9 = -3*d + 2*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -18*j + 4. Let z = -24002 + 24006. Let k(t) = -19*t + 5. Give z*k(b) - 5*w(b).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 217, 283, 353, 427?\n\"Answer: 2*w**2 + 60*w + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4268, -2, 1, -5 in descending order.\nAnswer: 4268, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2406*u. Let f(c) = -c**2. Give f(r(l)).\nAnswer: -5788836*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 97, 108, 139, 196, 285, 412?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71 - -29.29. Let y = d + -29.9999925. Round y to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 3 (c) -2.93 (d) 0.08 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*o - 8 = -0*s, 0 = 4*s + 4*o - 16. Let n = s - 3. Let t be n\/3*18\/3. Solve t*l + 6 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -54 (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59494 rounded to the nearest 100?\nAnswer: 59500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-9)\/(-12)*(-8 - (-896)\/21) and 112.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11465962 - 36.\nAnswer: -11465998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8787*h**2*p**3 + 3*h**2*p**2 + h**2*p + 370*h**2 + 2*p**2 wrt p.\nAnswer: 52722*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 4. Let p be d(-5). Let w = p + 13. Factor 0*r**2 - 9 + 6*r - r**w + 0*r**2.\nAnswer: -(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 10*a - 16. Let q be p(-7). Solve -q*y + 3*z + 13 = 0, 9 = 3*y + y - z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 + 2*p - 15. Let k(c) = 2*c**2 + c - 5. Let h be (264\/154)\/((-21)\/98). Give h*k(s) + 3*b(s).\nAnswer: -s**2 - 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 242060 to the nearest 1000.\nAnswer: 242000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.379838 + -0.381. Round f to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 11*c**2 + 0*c**3 + 0*c + 0 + 1\/12*c**4. What is x(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 526039 by 3.\nAnswer: 526039\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Let z(q) = 14*q**3 - 1. Let d be z(1). Let x(n) = -n. Let o(t) = d*x(t) + 6*s(t). Let l(r) = -2*r. Calculate l(o(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.88 - 64.68. Let t = p - -59. Is t less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(0 - 1))\/(-6 - -5). Let o(s) = s**2 + 4*s - 7. Let m be o(-5). Sort m, -4, a in descending order.\nAnswer: a, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -129 - 30 - (-31 + 0).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 + 6*q - 1. Let h be z(5). Let o = -50 + 27. Let b = 23 + o. Solve h = 2*i - b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**2\/2 + 193. Let q(c) = 3*c + 18. Determine k(q(v)).\nAnswer: 3*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.46478652 rounded to 4 dps?\nAnswer: -11.4648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -16 (c) 2\/3 (d) -10 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -352, -493, -634, -775?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 71\/3 - 4\/6. Find the third derivative of -13*o**3 + k*o**2 - 12*o**3 + 7*o**3 wrt o.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24054375 to the power of 1\/2, to the nearest integer?\nAnswer: 4905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.2908 milligrams to grams.\nAnswer: 0.6502908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -11 - (-3 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 224293172 a multiple of 1513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 435020948 a multiple of 2596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u + 0)*(u + 2*u - 4*u)*(10*u**2 - 22*u**2 + 34*u**2).\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303226 is divided by 368.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*g - 21. Find the first derivative of 4 - 2*v**2 - 3 - g wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v. Let o(f) = 100*f. Let y(z) = 45*k(z) + 4*o(z). Let r(h) = -2*h. Determine r(y(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.22 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -1\/12*u**4 + 0 - 5\/6*u**3 + 1\/10*u**5 + 1\/120*u**6 + 0*u - 2*u**2. What is the units digit of g(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 49*t**2 - 131*t + 20. Let b be j(-3). Which is bigger: b or 2\/134881?\nAnswer: 2\/134881","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2659253?\nAnswer: 127, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + (sqrt(68)*-3 - sqrt(68)) + (2 + sqrt(85)\/sqrt(5) - sqrt(68)\/sqrt(4)*1))**2.\nAnswer: -64*sqrt(17) + 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -2. Let j = 908 + -908. Let i = j + u. What is the closest to 1\/5 in i, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:51 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2038 and 323.9?\nAnswer: -660108.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.921 - -29.921. Let g be (-2)\/9 - 4\/(-6). Let h(m) = m**2 + 4*m - 3. Let c be h(-5). What is the closest to x in 3, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(2\/3)*y*y)\/y*y*y)**(12\/5))**6 assuming y is positive.\nAnswer: y**(408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 92*n + 564. Calculate j(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -64147*b - 64142. Calculate x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -28. Let f(d) = -d**3 - 7*d**2 + d + 24. Let n be f(-4). Let v be (105\/n + 3)*-4. Solve 3*w + v = q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let a(b) = -27087424*b. Determine t(a(n)).\nAnswer: -54174848*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14568865.\nAnswer: 5, 2913773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258797, -517583, -776369, -1035155?\nAnswer: -1293941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4325, 17032, 38137, 67646, 105565, 151900, 206657, 269842?\n\"Answer: r**3 + 4193*r**2 + 121*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73548644, -147097284, -220645922, -294194558?\n\"Answer: k**2 - 73548643*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 14) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14691707 to the nearest integer?\nAnswer: 3833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - 100011110?\nAnswer: -100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1167, 0, 2 in decreasing order.\nAnswer: 2, 0, -1167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41368720013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 102\/(-8) + (-7)\/28. Let q = 16 + z. Suppose -7*j = q*h - 2*j - 60, 0 = 3*h - 5*j - 60. Calculate the smallest common multiple of h and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)\/c**(-3\/11))\/(c\/c**(2\/3)*c*c**(4\/7)) assuming c is positive.\nAnswer: c**(-2225\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -67. Calculate the smallest common multiple of 13*((-6)\/3 + 3) and m.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 875443, 875491, 875539, 875587?\nAnswer: 875635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 871 + -868.9. Sort l, 1\/5, 8.\nAnswer: 1\/5, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-9 + 7 + 25).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57\/5, -0.1, -1\/5 in increasing order.\nAnswer: -1\/5, -0.1, 57\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 29 + 15 + 14.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1680*y - 164632. Calculate d(-98).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -41)\/(24\/((-64)\/(-8)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1190*u**4 + 4*u**3 + 688*u - 4. Let x(a) = -2379*a**4 + 7*a**3 + 1369*a - 7. Let l(w) = -7*f(w) + 4*x(w). Find the second derivative of l(s) wrt s.\nAnswer: -14232*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - 2 - (-2 - -3). Suppose -6*a = 2*a - 32. Suppose -15 = -3*f + 2*f - 4*h, -26 = -a*f + h. Is m != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*1580*(-17)\/(-34) + 2. Suppose -10*q - 82 = -d. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 0\/5 - (-2 + -3). Let g(h) = 392*h**3 + f*h**2 - 4 + h**2 - 391*h**3. Give g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33022210102 - -111?\nAnswer: 33022210213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 24.5. Suppose -d - 2*d + 231 = 2*n, -216 = -3*d + 3*n. Let i = d + -75. What is the closest to 19 in c, i, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-12) - -1*2. Suppose 0*s - s + 3 = 0. What is the third smallest value in -3, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaw when three letters picked without replacement from {w: 4, f: 3, a: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r - 6. Let n(i) = i**3 + 17*i**2 - 17*i + 8. Let b be n(-18). Is x(b) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x = -2*f - 69*x + 944, 3*x = 2*f - 848. Let m(h) = 5*h**2 - 4*h - 3. Let s be m(5). Calculate the highest common factor of s and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489 not equal to 898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -23*m + 35. What is the units digit of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28285, -28153, -28021, -27889, -27757, -27625?\nAnswer: -27493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3 - 1 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2427 and 66.\nAnswer: 53394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618, -313, 228, 1005, 2018, 3267?\nAnswer: 4752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*h - h - h)*(-h + 4*h - h) in the form s*h + q*h**2 + z and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {m: 7, g: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 0.2.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 9, a: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*f - 34 - 38, 0 = 4*f + 3*n - 64. Let m(j) = -4*j - 3. Let h be m(-7). Suppose -2*v + h = 3*v. What is the remainder when f is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 + 2*z + 1. Give f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575669 is divided by 533?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 36, 149, 372, 741, 1292, 2061, 3084?\nAnswer: 4397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44828704 and 23392?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 5:28 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330 (base 4) to base 12.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5468 + -3109. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 5, e: 1, v: 3}. What is prob of picking 1 k and 1 j?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:40 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9824 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3517 is divided by 1171.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36*1443\nAnswer: 51948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 9*v - 2. Let q be c(8). Suppose 16 = -4*f, -f + q*f - 64 = -4*x. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -29. What is the nearest to 1 in 3\/10, 4, k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 211 = -93. Sort -2, l, -1\/3 in increasing order.\nAnswer: l, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5395 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2494 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2 + 2*m - 6*m + m + 2*m. Suppose 3*j + 19 = -5*g, 0*j - 2*g - 14 = -2*j. Let q be t(j). Solve 0 = 4*b + 5*z - 21, -4*b + 2*z - 4*z + 18 = q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -9. Let j be (-5*(-8)\/(-20))\/((-1)\/(-2)). Let c be 231\/(-42) - (1 + 6\/j). Is c < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from sisaasshjiishasj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f**2 - 13*f - 241 + f**2 + 241. Let g(s) = 3*s**2 + 6*s. Give 9*g(h) + 4*i(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 47324*q**2 - 709862*q + 17. Calculate v(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2) + 4 + 9 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 2*o + 11, 3*c - 4*o - 25 = 0. Sort -5, c, -20 in decreasing order.\nAnswer: c, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by 11\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 10*w**2 - w - 8. Let z be j(-10). Suppose -z*q = 2*q - 56. Suppose 4*r - 26 - q = 0. Calculate the remainder when 19 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30273 (base 12) to base 10\nAnswer: -62583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 3, 1\/3, -0.3, -0.0191, -148, -0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -17*w**3 - 5*w**2 + 5*w - 8. Calculate q(2).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 83, 190, 341, 536?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6 = -4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114080674.\nAnswer: 2, 19, 3002123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:28 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 - 2*s + 6. Let c be w(4). List the prime factors of (c\/9)\/(-7) + (-272)\/(-9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4729 + 9480. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12214?\nAnswer: 2, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*v + 17 + 1 = 0, v - 8 = -2*t. Factor 0*p**2 - t*p**3 - 8*p**2 + 4*p**2.\nAnswer: -2*p**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 254*l + 85*l + 118*l - 151*l to the form r + c*l and give c.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 79777*s - 2393298. Give c(30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(162)*1 + (sqrt(162) - (-2*sqrt(162)*-2)**2)) - (5*(sqrt(162)*-2*-2 + 1*sqrt(162)*-2))**2.\nAnswer: -8424 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**6\/36 + b**5\/5 - b**4\/3 - b**3\/6 + 6*b. Let w(u) be the second derivative of k(u). What is v in w(v) = 0?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(99) + 4*sqrt(99)*-1)*2)**2 + 1.\nAnswer: 3570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 7904?\nAnswer: 7904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 25. Let g be (-5)\/15*0 + -3. Let r be (g*4\/30)\/(2\/(-40)). Put j, r, 5 in decreasing order.\nAnswer: r, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/960 and -13\/3300.\nAnswer: 52800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52\/545 + 379\/545. Let q(w) = -w**3 - 7*w**2 - 7*w - 5. Let m be q(-6). Which is bigger: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138*-0.10456\nAnswer: 14.42928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*d + 7, 8*f = 4*f + 2*d - 14. Let b be (f - (-28)\/20)*10. Let o be 6\/b + (-54)\/(-12). What is the greatest common factor of 24 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.99? (a) 1\/15 (b) 2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 25, 39, 59?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -2, -1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/s**(-15))*s**(-19\/5)*(s*s\/s**(1\/7)*s)**5 assuming s is positive.\nAnswer: s**(-193\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/4)\/(-9) + (-21)\/(-6). Suppose 1476 = l*b + 8*b. Suppose -3*g + 546 = -b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -18*n**2 + n. Let m = 1655 - 1656. Determine r(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53948 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.73 take away 305882?\nAnswer: -305886.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 3*k**5\/4 - k**4\/4 + 7*k**3\/3 + 88*k**2. Let f be p(2). Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 58387234?\nAnswer: 58387229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*s - 96*s = -491 - 909 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y - 61. Let t be h(-6). Let v = t - -21. Which is the fourth biggest value? (a) 2\/17 (b) v (c) 1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23902 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1900)*-4 - sqrt(1900)) + sqrt(1900))**2 + sqrt(2736) + 3 + 1 + sqrt(2736).\nAnswer: -56*sqrt(19) + 30405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324 + -324.263. Let r = y + 0.146. What is r rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35201.\nAnswer: 35201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.75 and 9.9?\nAnswer: 37.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -5\/2*q**2 + 1\/3*q**3 - 4 - 10*q. Is 8 a factor of p(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 <= -608\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1916528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cef when three letters picked without replacement from wfefcfiiifwifewewwi?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4 - 198*o**3 - 6414*o**2 - 48802*o - 42588 = 0?\nAnswer: -13, -1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 64*z - 45 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 853*m**2 + 23*m + 22. Let t be w(-1). Let i = t + -158. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66258, 66401, 66546, 66693, 66842, 66993, 67146?\nAnswer: 67301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100410103 (base 8) in base 16?\nAnswer: -1021043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15597421*n**4 - 61164623*n?\nAnswer: -187169052*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74828 is divided by 772.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/4620*-5)\/(((-10)\/2)\/(-140)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/29)*k**16\/k)\/(k**(-1))**(-12\/13) assuming k is positive.\nAnswer: k**(5281\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1)\/w)\/w)**30*(w**(1\/4))**(2\/37)*((w*w**(2\/3))**(-2\/43))**(-17\/3) assuming w is positive.\nAnswer: w**(-1705313\/28638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 87900 times -0.11\nAnswer: -9669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37837 - -497.\nAnswer: -37340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hugyuhguhuguuyu. What is prob of picking 2 g and 1 u?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:26 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(1 - (-5)\/(-2)). Let u(h) = -2*h**3 - 4*h**2 - 7*h - 6. Let i be u(x). Is i + -2*(-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let l(i) = 3*i**2 - 31*i. Determine l(k(j)).\nAnswer: 3*j**4 + 31*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1207401 at least -1207613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(85)\/(sqrt(5) + sqrt(80) + sqrt(5))*-6.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5 - 104*b**4 + 4104*b**2 - 11772*b + 7776 = 0.\nAnswer: -24, -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/4097 + -45043\/49164. Let v = y + -415\/12. Calculate the common denominator of v and 45\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from hwhbbwbhbwhbbhbwhbb.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1041098005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 3 (c) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32800, 32774, 32748, 32722, 32696, 32670?\n\"Answer: -26*s + 32826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6123 (base 11) to base 2.\nAnswer: -1111111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*c = -120487 - 33233. Calculate the lowest common multiple of 420 and c.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a*n*s + 17*a*n + 697*a*s**2 - 2*n*s**2 + 54*n*s - 2*n + 26*s**2 - 16*s + 1 wrt s.\nAnswer: 1394*a - 4*n + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -81. Suppose -l + 4*i - 3 = 13, -4*l - f = -5*i. Let b = 21 + l. What is the highest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 1. Let d be ((-9)\/(-18))\/((-10)\/4)*5. Let n(z) = -2*z**2 + 3. What is d*v(s) - n(s)?\nAnswer: 2*s**2 + s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 328*y**2 + 35*y - 85. Is p(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 187*135\/(-918)*(-20)\/(-25)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1717016166 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18 - (8 - 355\/45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/19, 0.2, -1, 1.9, -58 in descending order.\nAnswer: 1.9, 24\/19, 0.2, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + 3 + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 5*t**4\/4 - 3*t**2\/2 + 4*t + 3. Let k(q) = -q**3 + q - 1. What is -d(b) - 3*k(b)?\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1273 = -2*x - 2*f, -5*f + 1285 = 5*x. Let a = x - 181. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 780\/(-230490)*9\/22. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530231, 530192, 530125, 530024, 529883, 529696, 529457, 529160?\nAnswer: 528799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 533 - 313. Let c be v\/33 - (-7)\/3. Is 8 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 3*j = -540. What is the greatest common factor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 62\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 1816780?\nAnswer: -3\/908390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13327287859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67452, -134910, -202370, -269832?\nAnswer: -337296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-20))\/(((-2)\/(-54))\/(2\/(-6)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 = 108*b + 901 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60986*i**5*n - 6*i**3*n - 2*i**3 - i**2 + 2*i*n - 12*i + 39*n - 7 wrt i.\nAnswer: 3659160*i**2*n - 36*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 27*d**2 - 18*d + 4. Let q(n) = -2*n. What is p(q(r))?\nAnswer: 108*r**2 + 36*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 108129.11 to the nearest 100.\nAnswer: 108100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, m: 3, b: 1, t: 4}. What is prob of picking 1 u and 2 m?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2, 4*v + 37*s - 21 = 38*s. Let k(d) = -4 + 6 - 3*d**3 + 5*d**2 + 2*d**3. Determine k(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let d(u) = -3*u - 24. Let r(y) = 5. Let l(s) = 14. Let h(v) = l(v) - 2*r(v). Let j(a) = -d(a) - 6*h(a). Calculate j(t(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/332976 and -131\/5946.\nAnswer: 332976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - p. Let m(c) = -15*c**2 + 3*c. Let i be 465\/(-310) + 2\/(-4). Give i*m(k) - 7*v(k).\nAnswer: -5*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15831 divided by -5277\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10907*r - 681*r + 177*r to the form c + i*r and give i.\nAnswer: -11411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d158 - 3e?\nAnswer: -d197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let j(x) = -2*x + 107. Calculate j(m(v)).\nAnswer: 2*v + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*f + 197*f - 347*f - 348*f.\nAnswer: -1154*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 132\/924*(-7)\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0 (b) 2\/11 (c) -11 (d) -1\/13 (e) -3 (f) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686260552?\nAnswer: 2, 173, 397, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 9*c - 2. Let s be j(-4). Suppose 5*p - y - 579 = 0, -2 = y + s. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.7664 + -4.69. Let j = s + 0.0878. What is j rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2 - -27)\/2. Suppose t - 171 + 175 = 0. Sort t, 5, o, -3 in increasing order.\nAnswer: t, -3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4125 + 16413\/4. Let j = 147\/5 - 509\/10. Let z = i - j. What is the third biggest value in z, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850929991 to the power of 1\/3, to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v - 4. Let g = 7 + v. Let z(n) = n**3 - 5*n**2 + 9*n - 11. Let m be z(2). Sort g, m, -1 in ascending order.\nAnswer: m, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x + 7*x**2 + 3 - 2*x**2 + 0*x**2 - x**3 - 1. Calculate the remainder when n(-3) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12503500 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 563 and 1537.\nAnswer: 865331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 182.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {n: 2, b: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -23 in decreasing order.\nAnswer: -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + 2*q**4)*(-2 + 3 + 1) - 802227*q**4 + 9*q**3 + 807787*q**4 - 9*q**3 + 23*q - 10*q.\nAnswer: 5564*q**4 + 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**4 + 172*s**3 - 2*s**2 + s - 80.\nAnswer: 48*s + 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*u - 10 = 0, 5*f = 3*u + 2 - 24. Let y = 15 - 9. Let v be ((y\/f)\/3)\/(-1). Which is the nearest to 0? (a) -0.5 (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 - 3*y**2 + 2*y**2)*(-y**2 - y + y) + 25*y**4 - 22*y**3 + 22*y**3 as s*y**3 + w*y**4 + r*y + d*y**2 + x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let s(z) = -273735*z - 495. Let m(n) = -48306*n - 88. Let a(x) = -45*m(x) + 8*s(x). Determine l(a(c)).\nAnswer: 519064200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116\/4441 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d8c35 + -77?\nAnswer: -d8cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - -1108)*2\/(-6)*-222.\nAnswer: 2, 37, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*u + 3)*(-73 + 495*u**2 - 70 + 145).\nAnswer: 990*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2)\/(-4 - -3). What is the hundreds digit of (-3 - j)\/((-33)\/1364)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110010110000000 (base 2) to base 7.\nAnswer: 1614646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*p + 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 - -3)\/(-6))\/2. Let f be (-14)\/(-4) + -2 + -2. Let s = -2 + 1.6. Which is the closest to x? (a) -2\/11 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10908 divided by -3636?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -418 - -434. Calculate the remainder when 40 is divided by 36\/i*4\/3 - -36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914580396.\nAnswer: 2, 3, 263, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utkuuupufp. What is prob of sequence up?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018932671 to six decimal places.\nAnswer: 0.001893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612 - 10*j - 612.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 397 - 267. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(4455)*4)\/(sqrt(66)\/(sqrt(6)*-3) + sqrt(11) + sqrt(891) + -3*sqrt(891)))**2.\nAnswer: 91125\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m - 5*m - 2*m + m. Suppose 2*l = 5*c - 3*c + 20, 3*l - 2*c - 29 = 0. Let d(x) = 3 - 3 - 5*x - l*x. What is d(p(a))?\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(10\/12060) + 4. Let m = j - 402. Solve -m*h = b - 5, -3*h - 3 = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 671*w - 21929. Calculate y(38).\nAnswer: 3569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 322 + 560. Suppose 6*d - 2067 = -w. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvf when three letters picked without replacement from {f: 4, x: 5, l: 2, k: 4, v: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6)\/(16\/24). Let b be 3\/((-22)\/(-11) + (-1)\/t). Find the third derivative of 3 + 21*r**b + 22*r**3 + 4 - 7 wrt r.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + x**3 - 2*x**3)*(-61*x + 2372 - 2372).\nAnswer: -122*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73147, -146302, -219455, -292606, -365755, -438902?\n\"Answer: r**2 - 73158*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5118256.\nAnswer: 2, 11, 13, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.6 (b) -2\/13 (c) 0.1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-86 - -60) - -84?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**4 - 53496*u**3 - 189126900*u**2 - 67582615248*u + 204451432560 = 0.\nAnswer: -6486, -405, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -181426.0366 to the nearest one hundred.\nAnswer: -181400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-3*z**5 - 5*z**4 + 5*z**4) - z**5 + z**5 - z**5.\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -186*d. Let v(o) = 2*o**2. Give g(v(p)).\nAnswer: -372*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.5 + -22.838. Let j = -0.32 - u. What is j rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (11 - 8) - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-10))\/((-1)\/(-5)). Let w be (-17)\/(-2)*(-4 + b). Let a = -3 - w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5772 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: Suppose -4*d - 16 = 0, -h + 3*h = 4*d - 70. Let w = h + 45. Suppose 6 = -w*y, 0 = k - 5*y - 0*y - 17. Solve 4*z + 6 = k*t, -4*z = -0*t - t + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((q**15*q)\/q)\/q)\/q)**25)**(-8\/7))**(-35) assuming q is positive.\nAnswer: q**13000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 3*v - 2. Suppose -4*j - i + 2*i - 29 = 0, -10 = 2*j - 2*i. Let n be j\/((-8)\/(2 + 2)). Let x be b(n). Solve x*r = -2*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*k - 15 = 0, 3*k - 20 + 5 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 25. Let j = 7 - v. Suppose 2*n + f = 13 + 2, n = 2*f - j. Solve -x = n*s - 21, -3*s + x + x = -10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 8 - (0 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 + 2 + 11*z**3 - 2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63.733 - 0.233. Let d = o - 64. Which is the nearest to 1? (a) -2\/39 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 9:23 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -548*u + 2025. List the prime factors of p(-4).\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1455147319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 2. Let p be u(2). Factor -s**p - 7*s**3 - 2*s**3 + s**5 + 2*s**3 + 5*s**3.\nAnswer: s**3*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2845\/58 - -1350\/29. Which is the nearest to 8? (a) -3 (b) t (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 less than 0.0596563?\nAnswer: -77.9403437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6354 (base 11) to base 13.\nAnswer: 3a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**6\/600 - p**5\/150 + p**4\/40 - 10*p**2. Factor l(g).\nAnswer: -g*(g - 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*y + 3, 3*t + 2*t + 5 = 0. Let l be (-5)\/((-10)\/8) - (y - 0). Suppose -3*p + 1 = -2*q + 7, p = l*q - 12. Solve 0 = -p*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1) - 2 - (-27)\/3. Let u(a) = 31*a - 8*a - l*a - 11*a. Let b(g) be the second derivative of -5*g**3\/6 + 2*g. What is b(u(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -639*b + 641*b - 5*q + 32, 4*b - 14 = -3*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 5. Let v(w) = -108*w. What is z(v(c))?\nAnswer: -324*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + -84.5. Let c = u - -0.4. Let m = -1\/33 + 4\/11. Are c and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-6)*(-32)\/12. Suppose 5*p - 3*f - 86 = 0, 2*p - 3*p - k*f = -31. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 6 + -19 + -7 + (0 - -14)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:01 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-16 + 5 - -13)) + 12 - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -3 (c) 0.048 (d) -0.5 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -4*g**2 + 4*g - 13 + 7\/6*g**3 + 1\/12*g**4. Factor j(n).\nAnswer: (n - 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7197350.4 to the nearest 100000.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.1, -3, 0.3, 27, 4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/12 + 7*j**3\/6 + 5*j**2\/2 + 3*j. Let i be f(-7). Solve 0 = -4*t - 3*m + 7, -t - i*m + 31 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnl when three letters picked without replacement from {u: 1, i: 1, n: 2, d: 1, l: 2, z: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2500 and 228980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Let q(n) = -6*n - 1 - 5*n - 7*n + 19*n. Suppose 1 = -4*m - 3. What is m*b(s) + q(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2641*h - 40251. Give m(-15).\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 0.5, -22, 75, 2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(-2) assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41550 > 41550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:43 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 11885 = -11906. Let c(w) = -1. Let y(k) = -4*k + 2. Determine s*c(j) + y(j).\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**17\/t)\/t*t**(-1))\/(t**(-19)\/t*t)**26 assuming t is positive.\nAnswer: t**508","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 756 and 65298.\nAnswer: 49365288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w - 8. Let j be p(6). Let a be j\/4 - (-1)\/2. Let f be 5\/(-2) + a\/(-4). Which is smaller: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otzsofo. Give prob of picking 1 z and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 3938592?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.354*4.\nAnswer: -1.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neuk when four letters picked without replacement from euvvnkvneeevnnnve?\nAnswer: 5\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*p - 9, -8*p + 1451*l - 2 = 1448*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/36 and 27\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(1700)*-2*-2 + 3)**2.\nAnswer: 720*sqrt(17) + 27281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/36 and 49\/2064.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -12*m**2 - 4*m + 4. Suppose 181 = -43*v - 1754. Let f be v\/11 - 4\/(-44). Let a(p) = 84*p**2 + 27*p - 27. What is f*a(z) - 27*b(z)?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 13. Let c be g(14). Suppose 6*i - 111 - c = 0. Suppose -3*w + 49 = -i. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025 divided by 9?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 20*q + 7. Let x be n(15). Suppose -2*w = 0, -170 = -3*l + 2*w + x. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6) + (-12 - -14 - (0 + 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let r(x) be the second derivative of -x**6\/90 + x**3\/6 + x. Let d(b) be the second derivative of r(b). Determine d(u(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3390 + 4738. Suppose -c = -36*t + 26324. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40302, 40627, 41170, 41931, 42910?\n\"Answer: 109*x**2 - 2*x + 40195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29.56709097545 from 0.1.\nAnswer: 29.66709097545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1099 = -1099, 5*y = -3*n - 21 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (5 - 15 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1085 - 1085 - 87*p.\nAnswer: -87*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*b + 26925 + 5335 = -11589 + 4749 for b.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -110*c - 125 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 276*n**3 + 0*n - 464*n**3 + 385*n**3 to w*n**3 + o*n + d + c*n**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3 + 0 - 2*d - 1\/6*d**4 - 2*d**2. Determine c so that w(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39704, 89157, 138610, 188063, 237516, 286969?\n\"Answer: 49453*m - 9749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -484 + -96. List the prime factors of 10 - v - (-2)\/2*-1.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*z**2 - 18*z**2 + 33*z**2 - 32*z as g + w*z + l*z**2 and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:36 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**3 - 317*p**2 + 4320*p - 10357. Let a(t) = 2*t**3 - 106*t**2 + 1440*t - 3452. Let c(r) = 11*a(r) - 4*q(r). Solve c(j) = 0 for j.\nAnswer: 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by -17.\nAnswer: 154\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4*q - q + 8, 2*q - 4*h = -8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54064610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5646*t + 712. Does 71 divide a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 779\/232 - 72\/29. Let g = -1\/8 + x. Which is the smallest value? (a) g (b) -14 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -389, -388, -363, -308, -217, -84?\n\"Answer: z**3 + 6*z**2 - 24*z - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -165062, 2\/3 in descending order.\nAnswer: 2, 2\/3, -165062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = u + 5*f, -11*f = 5*u - 6*f - 1735. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/7)\/h*h)\/((h**(1\/12)\/h)\/h) assuming h is positive.\nAnswer: h**(233\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-10\/3)\/w*w)*w)\/w**6*w**(-1\/7)\/(w\/(w**(-4\/11)\/w)))**(2\/19) assuming w is positive.\nAnswer: w**(-1928\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(-5)\/18.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 + 365. Let n = m - 113. Which is the nearest to 5? (a) n (b) -2\/5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 5*v**7\/7 - 32*v**5\/5 + v**4\/4 - 5881*v**3\/3 + 3935. What is the third derivative of l(t) wrt t?\nAnswer: 600*t**3 - 768*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3013, -24\/11, -2, 0.5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2844, -5604, -8364?\n\"Answer: -2760*b - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10438.02840723 + 10957.0284026. Let d = 1201 - 682. Let o = d - r. Round o to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-105 - -74 - (-1 + 13)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203780710.\nAnswer: 2, 5, 7, 415879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(128)*-2*-4 + sqrt(128))\/(sqrt(4) - (sqrt(4) - sqrt(20)\/sqrt(5))*-5)*3)**2.\nAnswer: -139968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**2 + 2*d + 23*d**2 - 2*d.\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 4. Determine j(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 52*s**2 + s - 2. Let x(m) = 4*m - 2. What is the remainder when q(1) is divided by x(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 55. Suppose w = 4*l - 137 - 59. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*o = -o - 64, b + 4*o - 16 = 0. What is the greatest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, h: 4, r: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -157, -236, -335, -448, -569?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007412 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1210735, -2421472, -3632175, -4842826, -6053407, -7263900, -8474287?\nAnswer: -9684550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 2*q**2 - q. Let t(r) = -r**3 + r**2. Let f = -21 + 18. Let g be ((-2)\/3)\/((-2)\/f). Give g*h(l) + 4*t(l).\nAnswer: -2*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40321.\nAnswer: 61, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (5 + 3) - -12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1877246*q - 1. Let j be t(8). Let w = j - -7984899. Let d = w - -1533070. Round d to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 6*r**2 - r + 2. Let g(s) = 2*s**2 - s - 3. Let a be g(-2). Suppose c = a*c + 318. Let k = c - -59. Determine n(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*t + 15 = 0, 7*f - 6*f - 18 = -5*t. What are the prime factors of 1\/((f + -2)*(-7)\/(-5509))?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 8*b**2 - 94*b - 126. Calculate n(14).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918 and 4007954.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10 + 0 + g - 6. Let s be k(-4). Solve s = x + 4*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 14. Let g(m) = m**3 + 5*m**2 - 7*m + 5. Let f be g(d). Let y = -44 - -88. What is the highest common factor of y and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 + 47*y**2\/3 + 67*y + 51.\nAnswer: -(y - 51)*(y + 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -137*r - 957. Let d be p(-7). Let a(i) = 10*i + 61. Let k(m) = 2*m + 12. Determine d*a(c) - 11*k(c).\nAnswer: -2*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-4) + (-2457)\/(-1764). Put -9, 3, b, 0.2 in descending order.\nAnswer: 3, 0.2, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346 - -358. Solve 2*p + g = 3*p + 4*y, -y = -3*p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1219 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 49126, 0, -2, 1 in increasing order.\nAnswer: -5, -2, 0, 1, 3, 49126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 >= 510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 12 = 0. Let l = 20 - c. Differentiate -11 - 17*m**3 + 6*m**3 + l wrt m.\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 8*c + 9. Let v be y(-7). Is (6\/(-9))\/(v\/(-339)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 5*k - 1. What is the units digit of j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*h - 8, -5*h - 13 = -4*g - 5. Suppose 5*q = 5*c - 30, 5*c + 4*q - q - 6 = 0. Let n(x) = 0*x + 0*x - 4 + x - x**2 + c. What is n(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 20*m + 19*m + 6*m + 0*m - 3. Let k(h) = -h. What is k(i(j))?\nAnswer: -45*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 247621?\nAnswer: 247626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - x + 0)*((-x + 4*x + 0*x)*(0*x + 2*x - 3*x) + 2*x**2 + 4*x**2 - 4*x**2 - 3*x**2 + x**2 + 0*x**2 - 3*x**2 - 3*x**2 + 7*x**2).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-20) + (-15)\/(-4). Suppose j = -v*j. Suppose j*g - 5*d = -5*g + 35, -2*g = 3*d - 4. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(66)\/sqrt(18) + sqrt(33) - (sqrt(1617)*-2 - sqrt(1617)))*6)\/(-5*(sqrt(363)*2 + sqrt(363) + sqrt(363)) + sqrt(363) + 2*sqrt(363)*3).\nAnswer: -140*sqrt(11)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0888 less than 29972?\nAnswer: 29971.9112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -10*s**3\/3 + s - 27. Determine i(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166865 (base 9) in base 6?\nAnswer: -2115052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 + 8724*h**3 - h + 14866 wrt h.\nAnswer: 20*h**3 + 52344*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23751236 + 3296*k**3 + 23751236.\nAnswer: 3296*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 17*w - 12*w)*(0 + 4 + 3).\nAnswer: -168*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -28. What are the prime factors of (-2)\/v + 84\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 163, 250, 337?\n\"Answer: 87*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128137563?\nAnswer: 3, 14237507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110369, -441485, -993345, -1765949, -2759297, -3973389, -5408225?\nAnswer: -7063805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/405946 and -69\/3760.\nAnswer: 763178480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18513 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3462372 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3165, -2309, 1, -2, -4, 3 in increasing order.\nAnswer: -2309, -4, -2, 1, 3, 3165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110647037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6606.5 from -0.1307.\nAnswer: -6606.6307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -271, -553, -835, -1117, -1399?\n\"Answer: -282*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 197, 2, -27, 8, 17 in descending order.\nAnswer: 197, 17, 8, 2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -78144 divided by 74\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**4 - 3*p + 3*p**4 - 6*p**4 - 2*p**4 wrt p.\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6 + 3. Suppose -2*r + v + 12 = 0, 8 + 24 = 5*r - 3*v. Factor 3*q**3 + q - 1 - o*q**2 + 1 - q**r.\nAnswer: -q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 3*p - 14. What is the smallest common multiple of 16 and b(9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -381*w + 1. Let b(s) = 2*s**2. Calculate u(b(m)).\nAnswer: -762*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i - 19*i + 0 - 2.\nAnswer: -41*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 29.\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -294.\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1280) - sqrt(20))*-2)\/(sqrt(48)\/sqrt(3)).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 + s**2 - 39*s. Let l = -12 + 47. Let a be (-23)\/(-7) - 10\/l. Determine q(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.86 - 11. Let f = m - -0.04. Which is the closest to f? (a) 2\/9 (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 384457 in ascending order.\nAnswer: -1, 3, 384457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 182, 0.2, -0.68, -0.09, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8 - (22 - 1615\/68).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -74*i**2 - 1999*i - 36. Let l be m(-27). Put 5, -3, l, 83 in descending order.\nAnswer: 83, 5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10126*t - 243133. Give a(24).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 743, -4, 0, 2, 20, -14 in decreasing order.\nAnswer: 743, 20, 3, 2, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2813682060.\nAnswer: 2, 3, 5, 7, 2233081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13811592 and 132936.\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387 + 387 - h**3 - 776.\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 2, o: 1, z: 1, r: 2, a: 2}. Give prob of sequence zr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) 2\/5 (b) -1\/4 (c) -0.2 (d) 0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162.27 + 81.27. What is the smallest value in -2, -4\/25, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4\/5 - 106*a**3\/5 + 994*a**2\/5 + 11122*a\/5 - 12012\/5 = 0.\nAnswer: -7, 1, 26, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - sqrt(195)\/sqrt(45))\/sqrt(3).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2026286 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.332 * 80.1645.\nAnswer: -26.614614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 471486988 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 6*a + 63. Suppose 7 = 8*c - 33. Suppose a*w - 1758 = c*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01176667 * 65.\nAnswer: -0.76483355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5087 - -5141. Calculate the highest common factor of a and 1809.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, 9\/8, 89 in increasing order.\nAnswer: -2, 1, 9\/8, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 12. Let w be i(-5). Suppose w = 2*f + 6. Let y(k) = k**3 + 5*k**2 + 2*k - 1. What is y(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -0.2 (c) 0.02 (d) 38547 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2282, 2277, 2272, 2267?\nAnswer: 2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doy when three letters picked without replacement from odsyd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1530222, -1530242, -1530264, -1530288?\n\"Answer: -t**2 - 17*t - 1530204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7551085*j**3*q**3 + 24134*j**3*q**2 + 36*j**2*q**2 wrt q?\nAnswer: -45306510*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(2)*-6)\/(sqrt(4) + -2*(sqrt(4)*-2 + sqrt(4)) + sqrt(4)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yggggqggyg. Give prob of sequence ggg.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 94 + 82 = 0. Find the first derivative of 8619*f - 13*f**y + 14 - 8619*f + 2 - 5*f**3 wrt f.\nAnswer: -52*f**3 - 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:23 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**4 + 4*s**4 + 2*s**4 + (5*s**2 - 5*s**2 - 2*s**4)*(0 - 1 + 2) + s**4 + s + 2*s**4 - s**4.\nAnswer: -s**4 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 6, -3*o + 8 = -a - 3*a + 2*a - 5*o + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a)\/a)**37*a**(6\/11)\/((a*a**(-6))\/a)*((a\/a**2)\/a)**(-2\/49)\/(a**(1\/4)\/(a\/a**(1\/3)*a)) assuming a is positive.\nAnswer: a**(-426605\/6468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -i + 7, -2*h + 2*i - 15 = -i. Let g(r) = r**2 + 6*r + 4. Let m be g(h). Factor 3*w - 2*w**2 - m + 0*w**3 + 5 + 5*w**2 + w**3.\nAnswer: (w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314426059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4 - ((-28359)\/276 - -68)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 65*k**2 - k. Let o be h(1). Suppose 4*j = 6*j - o. Suppose 2*v = -4 + j. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -9. Solve -r*o + 12 + 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386464 is divided by 1319?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*w + 2720 = 0, 0 = -39*r + 37*r - 5*w + 2726. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37105878 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 397984 and 397984?\nAnswer: 397984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7312)\/9140)\/(2\/(-1300)*8).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 4*l**2 + 11*l. Let s(c) = -5*c**3 + 11*c**2 - 32*c. Give 11*i(m) + 4*s(m).\nAnswer: 2*m**3 - 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 - 64041?\nAnswer: -64115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10021874633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*t + 3*a - 3, 5*a = 4*t + 5. Let o = -49 + 68. Solve t = u - 2*u + 5*z - o, 4*u = 5*z - 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 0.52.\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-8)\/(-3)))\/(-34*84\/(-238)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-8)*(-1 - 5\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2730 and 13260.\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 17, w: 3}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Let r(z) = z**2 + 8*z + 1. Let q be r(-8). Let l(k) = -2*k**2 - 6*k - 6. Let p(w) = q*l(w) - 6*v(w). Let b(o) = 0 + 0 + o. Give b(p(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let z be ((-10)\/25)\/(x\/(-5)). Let j(k) = -2*k**3 - k**2 - 2*k - 3. Let q(s) = -2*s**3 - s**2 - 2*s - 2. What is z*j(p) + 3*q(p)?\nAnswer: -2*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 18 + 3 = 0. Suppose 0*j = -j + w. Let x = -685 - -687. Is j != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2421193 by -83.\nAnswer: 29171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 21*j + 10509*j**3 - 10500*j**3.\nAnswer: 9*j**3 - 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110*l**2 + 0 + 0 - 3715*l**4 + 120*l - 2*l**3 - 133*l**3 + 3690*l**4.\nAnswer: -5*l*(l + 2)*(l + 4)*(5*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10a9c94 (base 14) to base 3\nAnswer: -112221102211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.18 and -2\/207 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 + 390\/104. What is the closest to 3 in 1, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/(18\/(-6)). Let u(p) = 5*p**2 - 37*p + 28. Let r(i) = -i**2 + 9*i - 7. Let v(l) = -9*r(l) - 2*u(l). Let h be v(-8). Does j = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -0.14, 0.4 in ascending order.\nAnswer: -0.14, 0.4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 + 3.566. Let c = 37.134 + p. Which is smaller: c or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:46 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.691016 kilometers to meters.\nAnswer: 2691.016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1090.2538\nAnswer: 4361.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - ((13 - 36) + -22).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4072164.\nAnswer: 2, 3, 439, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-3993)\/(-17) + 5\/(765\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194997592.\nAnswer: 2, 17, 71, 123757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttmttttttmmt. Give prob of picking 1 m and 3 t.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*q + 28. Let x = q - -15. Suppose -3*m = x*m - 55. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyy. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -558*i**3 + 1029*i**2.\nAnswer: -3348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -35231497*p. Let v(l) = 2*l**2. Calculate v(n(x)).\nAnswer: 2482516761722018*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/2 >= 1\/58522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 0.4 (c) -3 (d) -1\/5 (e) 42 (f) 4.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000144424505 rounded to 6 decimal places?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (1 - -17) + 14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17162708 is divided by 122?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 632857919*x**3 + 16485*x**2 + 4*x - 243?\nAnswer: 3797147514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5183627 is divided by 410?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142372764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165*h + 684*h + 331*h + 92*h)*(-4*h + h + h).\nAnswer: -1884*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*p**3 - 7*p**2 + 7*p**2)*(3 - 4 - 1)*(2 + 6 - 4).\nAnswer: 192*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2830 - -110377\/39. Let x = r + 217\/312. Is x at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, m: 2, r: 5}. What is prob of sequence xrr?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226058124 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -8. Let o = u - -5.5. Let j = -1.3 - 1.7. What is the closest to 0 in -5, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00677 from -11356.\nAnswer: -11355.99323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*2\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 3 - 3) + -2. Let t be 2 - -2 - 21*13\/v. Let w = -63 - t. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*c**5 + 126*c**3 + 3*c**2 - 255*c.\nAnswer: 900*c**2 + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (52\/(-130))\/((2\/(-45))\/(25\/100)). Let 3\/4 + o*c**2 - 9\/4*c - 3\/4*c**3 = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*v - 61*v - 42. Let r = -1749\/17 + 103. What is the nearest to v in r, -5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 378 = 9*x. Let o = x + 57. Suppose -7*r + o*r + 596 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -1.0966?\nAnswer: -7.0966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187.\nAnswer: 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 1213848*b - 184178370888.\nAnswer: -2*(b - 303462)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w - 63*w = -14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 1. Let t(v) = -5*v + 3. Let j(c) = 3*b(c) + t(c). Let f be j(-2). Solve -f*q = -0 - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - p - 9 = 4*x, -4*x = -5*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*i + 0 + 120*i - 329*i + 0 - 121*i.\nAnswer: -487*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 114. Let m be 3 + (180408\/(-100))\/(w\/10). Let s = m + -2256. Find the common denominator of s and 127\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24692, -28158, -31634, -35126, -38640, -42182, -45758, -49374?\n\"Answer: -v**3 + v**2 - 3462*v - 21230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + x + 20 - 7, -2*x + 29 = 5*g. Suppose -f - 308 = -5*j, g*f = 7 - 22. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -1, -19, -45, -79, -121, -171?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 59*x = 207. Let h be x + 2 - ((-5 - -9) + 0). Let p(j) be the second derivative of j**4\/12 - 7*j**3\/6 - 3*j**2 + j. What is p(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/4 - 8)*667124*3\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12831*d**2 + 4*d*m**2*o - 1677*d*o**2 + m**2 - 740832*m - 7*o**2 - o wrt d?\nAnswer: 25662*d + 4*m**2*o - 1677*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16050390 to the nearest integer?\nAnswer: 4006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 + 3. Suppose 5*o - 4*p = -30, -5*o + 3*p - 30 = -0*p. Determine x(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-190))\/(60\/320)*2\/(-8)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -262, 0, 38, 146 in decreasing order.\nAnswer: 146, 38, 0, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2. Suppose -x - 2 = -4. Let d(y) = 36*y**2 - 23*y**2 - 19*y**x. Give t(d(a)).\nAnswer: -252*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 21*p + 4*j = 56, 0 = p - j - 31. Calculate the remainder when 211 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9911 is divided by 9434?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**4 + 19*q**3 + 3*q**2. Let n(s) = -6*s**4 + 20*s**3 + 2*s**2. Let d(k) = 7*n(k) - 8*p(k). Factor d(o).\nAnswer: -2*o**2*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 16)*2\/(-3). Let k be 4\/18 - 538\/(-9). What is the greatest common factor of k and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, s: 5, w: 4, l: 2}. Give prob of picking 2 w and 1 h.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471251?\nAnswer: 11, 42841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.0180654.\nAnswer: 0.00180654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*y = -14, 0*v - 4*v + 4*y = 8. Suppose -298 = -v*l - 25. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6050 or -6048?\nAnswer: -6050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7393778 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 35. Let x be z\/(3\/6*2). Let g be ((-6)\/12)\/((-6)\/x). Put 3, 1, g in decreasing order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -101. Which is the nearest to f? (a) -0.3 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-y - 2 + 2)*(1 + 2 - 1) - y + 0*y + 0*y)*(-8 + 3 - 3) as l*y + z and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-6)\/3 + 1. Let t be w - (2 + -3 + 1). Solve 0*r + r - 2 = t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/8 + 7 - -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160.91 + -161.21. What is the third biggest value in 0.5, -2\/43, 5, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 47619873.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670170?\nAnswer: 2, 3, 5, 89, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = -1. Let f(m) = -4*m - 6. What is the tens digit of f(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10032 minus -0.89?\nAnswer: 10032.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 646.4343 months?\nAnswer: 53.869525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2154 divided by -359\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d - 44. Let l = -107 + 116. Let i be k(l). Let s be 17\/(-3) - (-6)\/9. Put s, i, 5 in increasing order.\nAnswer: s, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*((2*w**3 - w**3 - 3*w**3)*(3*w - w + 0*w) + w**4 + 0*w**4 - 3*w**4 + 10*w**4 + 11*w**4 - 4*w**4).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzbjjzbzzzbjzbbbzj. What is prob of sequence zbz?\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 2*p - 4*p)*(-2*p + 16*p - 7*p)*(41*p - 14*p - 17*p) to g*p**2 + v*p + n*p**3 + j and give n.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 30661.21 hours?\nAnswer: 110380356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = 0, 0 = x + 5*i. What is m in 4\/9*m**2 + x - 2\/9*m - 2\/9*m**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -57, -65, -71, -75, -77, -77?\n\"Answer: t**2 - 13*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2370926 and -43\/14.\nAnswer: 16596482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-10) - 6\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrkk when four letters picked without replacement from rrnnnnrrkkrr.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 12*o - 21. What is q(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 - 4 = 0. Let a(l) = -l**3 + 8*l**2 - 4*l + 7. Let k(i) = i**3 + 5*i**2 + i - 2. What is the remainder when a(b) is divided by k(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 17*w**2 - 595*w - 3388. Calculate z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpd when three letters picked without replacement from tkddjpm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rraarrr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3\/4, -6\/5, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 244 - -2542e5?\nAnswer: 254539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8 - 17 + 2*f + 9. Let m(k) be the second derivative of k**3\/3 + k. Calculate m(r(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f + 1. Suppose -72 + 52 = -10*i. Let p be ((-14)\/(-28))\/(i\/(-4)). Give t(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.001 - 45.001. Let i = 10 + a. Let w = -35.0011 - i. What is w rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 125*w**2 + 2223*w - 1227. Let v(i) = -78*i**2 - 1334*i + 736. Let h(o) = 13*v(o) + 8*z(o). Factor h(q).\nAnswer: -2*(q - 31)*(7*q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 29 = 1. Let j be ((-15)\/10*u)\/1. Find the second derivative of -13*w**3 + w**3 + 5*w**3 + j*w wrt w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 98196, 196393, 294590?\n\"Answer: 98197*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 10*p + 13. Let h(v) = -2*v**2 - 10*v + 11. Let l be h(-5). Determine s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 130?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 28*d**2 + 26*d + 31. Let u be l(27). Solve 4 = -5*y + f - 3, -4*y + 4 = -u*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + n. Let z(f) = -f**3 + 7*f**2 - 5*f - 1. Calculate 5*a(c) + z(c).\nAnswer: -c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b2 (base 16) in base 13?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*r**2 - 213*r**2 - 242*r**2 - 52*r**2 + 128*r**2.\nAnswer: -515*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 8*z + 16. Which is smaller: 1.7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447537*t**3 - 447624*t**3 + 895166*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1250636 (base 7) to base 9.\nAnswer: 268355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w**2 - 2*w - 6. Let d(a) = -7*a**2 - a - 5. Let j(b) = -6*d(b) + 5*u(b). Let z = 6 + -2. Suppose 9*n = z*n + 15. Give j(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -53 - 3*i + 53. Let g(o) = -6*o. What is g(d(u))?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 8 = -4*r - 4 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -56, -131, -240, -389, -584, -831?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**2 - 7*g + 4. Let t be (-2)\/(-8) + 38\/8. Let l be o(t). Suppose -n = -2*a - 31, 6*n - 2*n - l = 2*a. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 181.15.\nAnswer: 905.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*y = -284*y - 4*s + 37, -5*y - 29 = -2*s. What is the nearest to 1\/2 in 2\/53, 3, -10, y?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*((sqrt(396) + -3 + 3)*5)**2.\nAnswer: -118800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s + 252. What is the common denominator of -3 + (-4 - s\/(-15)) and 11\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4.001. Let o = m - 0.289. Let h = -0.11 + o. Which is the biggest value? (a) 2\/3 (b) h (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*v - 2 = 0, -3*x - 4 = -5*x + 5*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (2 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 12*d - 8*d. Let j(n) = 2*n**2 - 15*n**2 - 2*n**2. Calculate j(t(s)).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) - (-5*sqrt(3)*1 - sqrt(3)))**2*4.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 587593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -149, -528, -1267, -2486, -4305, -6844?\n\"Answer: -20*x**3 + x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/(6\/126). Suppose l*o = 9*o - 8. Suppose -w + 24 = 2*a - 6*w, w - 6 = -5*a. Solve -a - 4 = 2*i + 5*k, o*i + 3*k = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240334004 (base 5) to base 4.\nAnswer: -10031321200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 80.3. Let s = -0.7 - d. Let g be 9\/18*(-3)\/9*2. Which is the third smallest value? (a) -1 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide ((-92)\/(-69))\/(2\/28458)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22479 at least as big as -5417550\/241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8 + 232. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49)\/28*2\/(-7). Find x, given that 1\/2*x**4 + 0*x**2 + 0 - i*x**5 + 0*x**3 + 0*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/11 - 34*j**3\/11 - 160*j**2\/11 - 128*j\/11 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/60 and 21\/26266.\nAnswer: 787980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 - -0.25. Let s = 2.07 - 0.07. What is the smallest value in x, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:15 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-9.91159\nAnswer: -10.21159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 96*a**2 - 923*a - 213. Calculate w(11).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l - 32*l + 760. Calculate the least common multiple of 10 and l.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1059, -1053, -1047?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/95 (b) 0.3 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013446 rounded to five dps?\nAnswer: 0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1151417 divided by -7.\nAnswer: -1151417\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 213941722 to the power of 1\/2, to the nearest integer?\nAnswer: 14627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**5\/15 - 9*z**2\/2 + 42. Let b(s) be the second derivative of u(s). Let h(d) = -5*d. Determine b(h(v)).\nAnswer: 200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w + 22 - 52 + 27 - 2*w**2 to i*w**2 + p*w + j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193988 divided by -193988.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59930, -60063, -60196?\nAnswer: -60329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -250 - -271. Find the first derivative of 27*c**4 - n*c**4 + 20 + 3*c**2 - 46 wrt c.\nAnswer: 24*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 1443?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 7*c**2 - 9*c + 6. Let p be w(8). Let a be (p\/(-8))\/((-9)\/(-12)). Is 0 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3474410?\nAnswer: 2, 5, 157, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - (135\/(-20) - 2) and 79\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9711 + 3602. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -1. Let d be 0 - 1\/c*2. Suppose -d + 6 = b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -87*v + 1. Let b be c(-1). Let o = -65 + b. Suppose 3*y + 2*t = 12, -2*t - o = -2*y - 5. Solve 0 = y*i - 2*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -10. Suppose -6*t + 4*f = -3*t - 16, 0 = -2*t - 3*f + s. Which is the smallest value? (a) 0.2 (b) t (c) -2\/3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (-75 - -86) - -17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*d**2 + 5)*(-38*d**2 - 5*d**2 - 26*d**2) in the form s*d**4 + f + c*d + k*d**2 + a*d**3 and give s.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26537152.\nAnswer: 2, 414643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 36. Let l(a) = 2*a - 4. Let r be l(b). Solve 0 = 2*q + r, 5 = -d + 3*d - q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 6*u - 15. Give n(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.135 times 8359?\nAnswer: 1128.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910762 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01541979 rounded to 5 dps?\nAnswer: 0.01542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6 + ((-200)\/16)\/(-5). Solve -4*f + h*c = 4, 2*f = -3*c - 0*c + 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11154234 divided by -5577117\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*(-36)\/440910*-15.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:45 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 30. Suppose 5*y - 15 = -2*f, -f - y + i = -0*y. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 - 4715*c\/6 - 210392\/3.\nAnswer: -(c + 91)*(c + 4624)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.70962 to 0 decimal places.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-1) - (-24 + 22)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/15 - 331*w**4\/6 + 220*w**3 - 1532*w**2. Suppose z(v) = 0. What is v?\nAnswer: 1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3672784 is divided by 493?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.71 - 0.29. Suppose 3*z + z = 0. What is the closest to -0.1 in f, -5\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13.1, -0.4, 1\/4, 5, -1100 in ascending order.\nAnswer: -1100, -2, -0.4, 1\/4, 5, 13.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8853 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 12:46 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.2 (b) -4\/7 (c) 259\/22 (d) -0.3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2\/12 - 44\/120. Which is the third biggest value? (a) 2\/5 (b) -0.5 (c) q (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*q + 3*q**2 + 62*q + (-6 + 4 + 3)*(3*q**2 - 4*q**2 + 0*q**2) + 0 - q**2 - 2 - 3*q + q in the form h*q + j + n*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 + 5*q - 12. Let a be x(5). Let g = 43 - a. Let c be ((-4)\/g)\/((-2)\/260). What is the greatest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27\/8 - -227\/72. Put 6, k, -3 in decreasing order.\nAnswer: 6, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = -0*l - 2*l, -3*u - l - 9 = 0. Let z = 1\/7639 + -45935\/771539. Let j = z - 374\/505. Which is the smallest value? (a) u (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*t**4 + 0*t**2 + 0 - 4\/15*t**3 + 0*t.\nAnswer: -2*t**3*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.52 and 0.1.\nAnswer: -9.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5309910*d + 3716220.\nAnswer: 5309910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -4, -0.3, 8, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:48 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 173*q + 169. What is the hundreds digit of x(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27508*-736.7.\nAnswer: 20265143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + m - 2 - 1 as v*m + p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202221 (base 3) to base 15.\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765251 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -527*o**2*p + 2698*o*p - 2*o - 8517894*p wrt o?\nAnswer: -1054*o*p + 2698*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2*3\/(-132)). What is the units digit of (-64)\/(-11) + 4\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217*s**5 + s**3 - 1547*s**2 + 15792386*s?\nAnswer: 4340*s**3 + 6*s - 3094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-3)\/6 - (-3791348 + -1). Suppose -4*r - c = -4*h, 4*r + 904897 = 3*h - 1938611. Let a = 547840 - h. Round a to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10240540301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 16. Let z(p) = 0*p + 4*p - x*p. Let s(w) = -w. What is s(z(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9714.9 minutes?\nAnswer: 582894000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from pojjpojpjpk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1501\/9 - -167. What is the nearest to n in -5, 2\/23, 0.01?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g + 5*b = -290, 2*g = -2*b + 592. Let f = 360 - g. Let u = 22 + -9. Calculate the highest common factor of u and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 850 - 836. Solve -9 = -c - f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0336 + 20.0336. Let z = s + -20. Which is greater: -6\/55 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.7 equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120526585 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148134\/5 - 141023\/5. Let o = b - 1434. Find the common denominator of o and (-224)\/3*(-4)\/14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -4*v - b, 10 = 4*b + 26. Let t = 12 + -8. Let z be 21 - -1 - t\/2. Calculate the highest common divisor of v and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5137 divided by -9332?\nAnswer: -5137\/9332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 3, 1\/3, -6\/953?\nAnswer: -6\/953","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11885\/(-9)*(-37)\/185 + (-7)\/63. Is p greater than or equal to 1858\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051012 to four decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88 and 0.2?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 13. Suppose 30*g = u*g - 36. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - 140.77. What is j rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2097 + 2101. What is the third smallest value in 2\/5, 113, p?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*l - 5*l - 40*l)*(5 - 1 - 2) + 2*l - 33*l - 11*l.\nAnswer: -290*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -539 + 2736. Suppose -4*y + 3443 + l = 0. What is y rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.19. Let a = z - -16.29. Let x = -15.982 + a. What is x rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*u = 2, -5*u = 3*h - 8*u - 12. Let z be (0 + 1)\/9 + h\/(-18). Put 3, 7, z in ascending order.\nAnswer: z, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g + 2. Let x(o) = 276883*o. What is x(u(k))?\nAnswer: -2215064*k + 553766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/2 + 37\/8. Put x, -4\/9, 2\/3 in descending order.\nAnswer: 2\/3, x, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 - 2*s**2)*(-94 + 105*s + 93 + 494*s).\nAnswer: -1198*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -121\/24*o**4 + 0*o**3 + 0 - 21*o - o**2. Let x(r) = 2*r. Determine x(d(f)).\nAnswer: -242*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -635?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -69690*a + 69668*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*f + 129*f + 831*f.\nAnswer: 1032*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1062654 (base 7) to base 4\nAnswer: -200133102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 9*b = 2*b - 4*c + 2*c + 10, 53*b - 5*c = -7127 for b.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(-40\/7)\/(y*y**(4\/9))**(2\/27))**(-5\/7) assuming y is positive.\nAnswer: y**(-31490\/11907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s\/s**(-25)*s*s**14\/s*(s*(s\/s**(2\/3))\/s)**(17\/3) assuming s is positive.\nAnswer: s**(404\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 3) + 10 + -14 - 2 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*4\/24*39. Let w(z) = 13*z + 2. Let q be w(p). Let r = q + -53. What is the remainder when r is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2*m**2 - 7*m + 6. Let j be u(4). What is the greatest common divisor of 8 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343606489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -23*u**2 - 4*u - 4. Let i(a) = 22*a**2 + 3*a + 3. Calculate 3*d(n) + 4*i(n).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133927487?\nAnswer: 47, 113, 151, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20639073 divided by 897351\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h*h*(h\/h**(3\/4)*h)\/h)\/h))\/(h\/(h\/(h\/(h\/(h**(-1\/3)\/h)*h*h)))))\/(h**(-14)*h**(-22)) assuming h is positive.\nAnswer: h**(481\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = 0. Let v = -4 + -3. Let h = -6 - v. Which is bigger: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 754.9609mm?\nAnswer: 0.0007549609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxymsnynxxg. What is prob of sequence xx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h**2 - 36*h**3 - 9*h**2)*(0 + 3 - 4)*(-2 + 3 + 0)*(6 - 5 + 3).\nAnswer: 144*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 10. Calculate the smallest common multiple of 8 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 72*d - 61. Let t(g) = -299*g + 246. Calculate 6*t(x) + 25*z(x).\nAnswer: 6*x - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*g + 816*g = 4*u + 16, -3*u = 4*g - 2*g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673963?\nAnswer: 227, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 0.4, 2\/35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {y: 3, s: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -0.07 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2244 and 19.\nAnswer: 19.2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8315 in 1\/5, -0.06, -6, -1\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = -65*m + 11*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oogg when four letters picked without replacement from {g: 7, o: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/4 - 77*m**4\/4 - 9*m**3\/4 + 4877*m**2\/4 - 8095*m\/2 + 2850 = 0.\nAnswer: -76, -10, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**3 - 2. Let c(u) = 0*u**3 - 3*u**3 + 2*u**3. Let x be 4\/6 - 2\/(-6). Calculate x*f(k) - 5*c(k).\nAnswer: k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-24))\/(6\/36). Let t be 6\/(-10) - ((-18)\/s - -4). Which is smaller: t or -1\/235?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690184 at most 690189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 5669840 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 33 + 21*p - 11*p + 24 - 15*p.\nAnswer: -5*p + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26554, 52672, 78790?\n\"Answer: 26118*k + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 20*h + 4. Let a be g(-5). Let p = a - 156. Let f be 9\/(-15)*2\/(-3). What is the smallest value in -4, p, f, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 4 (c) 0.02 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 4*t**2 - 4*t + 5. Let c be s(-6). Suppose 3*v + c = 5*o + 15, 0 = -3*o + v + 54. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 9, 9, 7, 3, -3, -11?\n\"Answer: -b**2 + 5*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 23.24535 micrometers?\nAnswer: 0.02324535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-72))\/(30\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -9627\/50570 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d + 4. Let c be a(-6). Suppose 0 = -2*u - u - 24. What are the prime factors of (18\/(-10))\/(u\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141418 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719 is divided by 101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**2 - 9*n**2 + n**2 + (5 - 2 + 2)*(4*n**2 - n**2 - 12*n**2).\nAnswer: -58*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10*c**3 - 3*c - 2. Let u be f(-2). Suppose -4*t = p - 23, t + 3 = -0*t. Let d = u - p. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 51*r + 567. What is h(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/70 and 2 + ((-2546)\/840 - 15\/25).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htobrrr. Give prob of sequence tb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 2362*f**2\/5 - 1896*f.\nAnswer: 2*f*(f - 1185)*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.82nm in kilometers?\nAnswer: 0.00000000003982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40471 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2443, -21, 0.2, -2\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*j = 5*l - 1595, 5*j = -5*l + 2005. Round l to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113677 at most as big as -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2145*o**3*z**3 - 133*o**3*z + 554*o**2 + 2*o*z + 2*o + 217*z**5 - z wrt z?\nAnswer: -12870*o**3*z + 4340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/((-177)\/(32922\/248)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(864)*-2 - sqrt(96)*1)\/((sqrt(96) + sqrt(96) + (sqrt(96) - (sqrt(96) + sqrt(96) + (sqrt(96)*-2 - sqrt(96))))*3)\/sqrt(12)))**2.\nAnswer: 163\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 82 times -34205.23\nAnswer: -2804828.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 50, 79, 88, 71?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-78)\/(-4)*(-6)\/(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 10*k**2 + 9*k - 38. Determine v(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128848 + 240031. Let h = 43783 - w. What is h rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 27724 - 55434 + 27710.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -766133, -766004, -765875, -765746, -765617, -765488?\nAnswer: -765359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42.7 - 20. Let f = 24 - n. Let k = 0.3 - f. What is the third smallest value in -3\/5, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6 - 10\/380*-53?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -126477*x + 126442. Give s(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Let k(i) = -2*i**3 + 4*i**2 + 8*i - 1. Let n be k(3). Let g(t) = -2*t. Determine n*g(c) - 6*r(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/63 and 5\/273?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y*y**(-15)\/y)\/y*y))\/(y**(2\/59)*y))**(-2\/57) assuming y is positive.\nAnswer: y**(-1648\/3363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwhmwwlmymy. What is prob of sequence lhyy?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 0.4 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119, 306, 671, 1304, 2295, 3734, 5711?\n\"Answer: 15*w**3 - w**2 + 85*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -3*sqrt(17)*1)*5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b24 (base 13) in base 4?\nAnswer: 333312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(176) - (sqrt(176) - (-5 + sqrt(176)*2 - sqrt(176)))))**2.\nAnswer: -80*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.4 - -21. Which is the nearest to 1? (a) 0 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18c7f5 (base 16) in base 10?\nAnswer: 1624053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 54 - 4 - 81.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 141, 5 in increasing order.\nAnswer: 5, 69, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*c**3*i**3*p + 2*c**3*i*p - 3*c**3 + 29*c**2*i**3 + c**2*i*p - 2*i**2*p + i wrt c.\nAnswer: 54*i**3*p + 12*i*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8410, 8400, 8386, 8368, 8346?\nAnswer: 8320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, -111, -233, -339, -423?\n\"Answer: k**3 - k**2 - 136*k + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 446*g**3 + 263 with respect to g.\nAnswer: 1338*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**9\/168 - z**5\/30 - 3*z**2\/2 + 3*z. Let v(q) be the first derivative of x(q). Find the third derivative of v(r) wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -350. Suppose 0 = -3*h - 15 + n. Calculate the highest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 12.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455942 divided by 823.\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evet when four letters picked without replacement from {t: 1, e: 4, r: 1, d: 4, v: 3, u: 2}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -76. Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5978 + -4.5978. What is the nearest to -1\/22 in 3, -2, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 25854717.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 7601 = 1595. What is the greatest common factor of 660 and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*o**4 + 1096*o**2*y**2 + 365625*y**2 wrt o?\nAnswer: -92*o**3 + 2192*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15*13\/(2496\/16)*228\/(-5)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4 - -2)*1. What is the tens digit of p*1 - (-3 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/(9\/(-18)). Suppose 0 = -4*f + j*q - 20, 0*q + 3*q - 12 = -f. Suppose f = 5*h - 27 + 2. Sort -2, 4, h in descending order.\nAnswer: h, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmxtmtxmxxtjma. What is prob of sequence tamt?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let c be (-3)\/(90\/228) + (-12)\/30. What is the tens digit of 15 - c\/(y - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*t = 0, 0 = -4*p - 5*t - 3 - 0. Let y = 16 - 12. Let g(w) = 2*w**2 - 2. Let m(h) = 3*h**2 - 3. Let d(c) = y*g(c) - 3*m(c). What is d(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 343\/5. What is the common denominator of (-165)\/(-4) - (-2)\/8 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/31)*y*y)\/y)**(1\/26)*y**9*y\/(y\/((y**(1\/27)\/y)\/y)) assuming y is positive.\nAnswer: y**(154787\/21762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 2642562.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 20*u + 13. Let s be a(19). Let l = 5422 + -5420. Solve 6*w = l - s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.08 - 0.98. Let s be (-16)\/10 - (-3 - -1). Let i = -5 + 0. Which is the second smallest value? (a) i (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1537.29 + -0.13.\nAnswer: -1537.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 28*l**3 + 4*l - 6. Let f(n) = -29*n**3 - 5*n + 7. Give 7*a(o) + 6*f(o).\nAnswer: 22*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041622 is divided by 276.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4*c + 14, -2*s = 5*c - 26 + 45 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(4\/11))*i**(2\/19))\/(i*i**(-2\/71)*i*i\/(i*(i*(i\/i**(-18)*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(259639\/14839)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 21 - (5 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.126 (c) 553.7 (d) -0.3 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -296 + a + 861 - 61*a**2 - 281 - 295. Let d(j) = -2*j**2. Give s(d(t)).\nAnswer: -244*t**4 - 2*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981.512us to seconds.\nAnswer: 0.000981512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 281 and -0.1.\nAnswer: -28.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -215b5 (base 14) in base 9?\nAnswer: -132643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 37*w - 6. Let m(r) = -75*r + 11. Give 11*b(a) + 6*m(a).\nAnswer: -43*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from ppaaaaap.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*3)\/sqrt(4)*5)\/(sqrt(175) + -1*sqrt(175) + sqrt(7) - ((3*sqrt(28) - sqrt(7)) + sqrt(7) + sqrt(7) - sqrt(7))) + 0)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5\/7 - 63582*z**4\/7 + 562348*z**3 - 64730760*z**2\/7 + 114224400*z\/7 = 0.\nAnswer: 0, 2, 30, 31729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1589465 decades to centuries.\nAnswer: 0.01589465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 11:38 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -10*r + 72. Calculate the highest common factor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 891440\/9 - 99050. Let s be (1 - 1) + 1\/(-1). Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2065\/18 + -1160\/9. Let w = 5497\/530 - -3\/106. Calculate the common denominator of s and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76b (base 12) to base 4.\nAnswer: 101003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 40698300 to the nearest one hundred thousand.\nAnswer: 40700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -532 * -16.\nAnswer: 8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-11 - (-2 - -6)). Let i = y - -13. What is the third derivative of 6*n**i - 8*n**2 - 7*n**3 - 2*n**2 wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/(sqrt(28)\/sqrt(4)) - (sqrt(5) - (1 + (sqrt(20)\/sqrt(4) - sqrt(5))))) + -3*sqrt(405)*-4)**2.\nAnswer: 216*sqrt(5) + 58321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 = 2*z, -5*u + z + 4*z = 5. Suppose 0 = 5*t + 3*p - 27, -p = u*t + 2 - 13. Let r = 0 - t. Let x(c) = 2*c + 6. Calculate x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2085961*r**3 + 214245.\nAnswer: 6257883*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*o + o. Let n = -6.3 - -6. Let h = 0.38 + -0.08. What is the third biggest value in h, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79401897 rounded to four dps?\nAnswer: 0.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 719*o**6\/3 - 699*o**2 - 1641. What is the second derivative of k(a) wrt a?\nAnswer: 28760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 52*a**2 - 70*a + 17. Give n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(1573)*-3 - sqrt(1573)) - sqrt(1573)) + sqrt(1573))*4 - (-4*sqrt(637)*-5 + 4).\nAnswer: -316*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhuhhhhhhhuuhhuhuh. What is prob of picking 2 u and 1 h?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167220165.\nAnswer: 3, 5, 7, 1592573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2133 = 5*s. Let n = -3322 + s. Let f = -2179 - n. Round f to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-23.36\nAnswer: -93.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 2, 10 in descending order.\nAnswer: 10, 7, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 2*c - 27. Let v(o) = -2*o**3 + 7*o**2 - 7*o - 82. Give -7*j(k) + 2*v(k).\nAnswer: -4*k**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26274200 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 627104*r**2 - 511 + r**4 + 55*r**3 - 627104*r**2 with respect to r.\nAnswer: 4*r**3 + 165*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(132)*2)\/sqrt(11))**2 + (sqrt(1200)*-2*6)**2.\nAnswer: 174528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00182 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852463 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 6500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2057)\/(-374)*10\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 95*r + r**4 + r**2 + 43*r + 52*r to the form u + z*r**2 + w*r**3 + k*r**4 + a*r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 456, 589, 724?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -178. Let z be -3 - -17 - 0\/(b\/6). Solve 0*t + z = 3*t + p, -2*t = -4*p + 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 20 - 0) + 0 + 12 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14890735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(612) - (sqrt(170)*-4)\/sqrt(10) - (3 + 0 + sqrt(272))*-5) + -2.\nAnswer: 9 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 4) in base 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(4 + -3 + sqrt(612)) + (sqrt(119) - (6*-2*sqrt(119) + sqrt(119) - sqrt(119)))\/(-6*sqrt(21)\/sqrt(3) + sqrt(7)) + 0)**2.\nAnswer: 1002*sqrt(17)\/5 + 474338\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79317.78ml in litres?\nAnswer: 79.31778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1\/2*o**2 - 3 - 1\/5*o**5 - 1\/4*o**4 + 0*o + 1\/3*o**3. Find k such that a(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*l + 3*z + 5, 2*l + 3*z + 2 = 0. Let g be -1*(4 - l)\/(-1). Suppose -d + g*s = 14, 3*d = -0*d + 3*s - 18. Sort 1\/2, 2, d.\nAnswer: d, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2689214 (base 10) in base 9?\nAnswer: -5047815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2381306862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 2*r + 2*r + 1 - 8*r - 5*r**3. Let z(k) = 4*k**3 + 0 + 2*k + 0*k - 1. Let n(f) = 2*l(f) + 3*z(f). What is the first derivative of n(m) wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*28\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010001010001001011 (base 2) in base 4?\nAnswer: 3101101023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - -127 - (8 - -18) - 73?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*f = 4*m, 0 = -5*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 723346 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (9 - 9) + -2 + 7 + -9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 = 3*u + 4, 3*u + 4*a - 16 = 0. Let q(h) = -h**2 - h**2 + u*h**2 - 2*h**2. Let m(x) be the first derivative of -x**3\/3 - 9450. What is q(m(g))?\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 220834363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 26 - 46 - 145*g + 122*g - 18*g.\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640125 to the power of 1\/2, to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndn when three letters picked without replacement from njnfdf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*o**5 - 11*o + 2 wrt o.\nAnswer: -1660*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 19) + -31 + 18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, 5, -2, -5 in increasing order.\nAnswer: -19, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 25*v - 20. Does 13 divide a(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 38944*t + 194719. Calculate a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 753956 greater than or equal to 753955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 + 953*z\/5 + 3828\/5.\nAnswer: -(z - 957)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/1374 (b) 5 (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13332.88603 - 13333. Let g = d - -78.12267. Let u = g + -78. What is u rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4661 - -4931. What is the remainder when h is divided by 75?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-165 + 25 + -11 - (-3 + -6))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*f - 8*f**4 - 4 - 31*f + (-3*f**4 - f**4 - f**4)*(2 - 3 + 0) - f**4 + f**4 - 2*f**4.\nAnswer: -5*f**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -100000111110?\nAnswer: 100000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133325 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*((-315)\/100 + 3). Let i be (-253)\/6*(-4)\/2. Let v = i - 86. Which is the second smallest value? (a) -5 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 85?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3083*g**2 + 6150*g**2 - 3071*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 - 1.44. Which is the nearest to 13? (a) -5 (b) t (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.07, 10370 in decreasing order.\nAnswer: 10370, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 454\/(-1) - -2. Is 1 + y\/(-6) + (-2)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/1 + -4)*(-3 + 8). Let u be 2\/4 + 168\/16 - n. Solve -7*s = -u - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + 9*o**3 + 86*o - 2*o**2 - o**3 - 84*o - 6 in the form n*o**2 + l*o**3 + z*o + j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 17) + (8 - -42)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/46 (b) -0.08 (c) 7\/2 (d) 4\/199 (e) -2 (f) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/8 + (6237\/968)\/21?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 j, and 1 b when four letters picked without replacement from xcbxjcvjxjxxjjjv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + 3.3. Put -0.5, -0.4, r in descending order.\nAnswer: r, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(816) - sqrt(816) - 5*sqrt(51)*1)\/(-2*(sqrt(15)\/sqrt(5)*-3 - -2*sqrt(3)*2)).\nAnswer: -7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 5*j**2 - 6*j + 7. Let g be t(3). Calculate the smallest common multiple of 4 + -2 + g + 8 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32415842159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/171*(-11 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15002698 is divided by 15002629?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12769803 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 28*y - 16*y - 7*y. Let a(j) = -33*j. Give a(h(z)).\nAnswer: -66*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:53 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i*i\/(i**(2\/7)*i)*i)\/i*i)**25)**27 assuming i is positive.\nAnswer: i**(17550\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2926 = -17*g + 2888. Calculate the greatest common divisor of 54 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7676444 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 0)\/3 - (-39)\/9. Suppose -k + t + 50703 = -0*k, 253512 = 5*k - m*t. Round k to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898780401 to the power of 1\/2, to the nearest integer?\nAnswer: 62440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = -4*q + c + 778, c = 5*q - 1887. Suppose -5*u + q + 47 = -w, -2*w + 87 = u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (63 + -1)*(-21)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)\/((-34)\/4). Let p(i) = i**2 + 12*i - 14. Let b be p(-13). Let n = -2 + b. Sort m, n, 1\/6 in ascending order.\nAnswer: n, m, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 46 - 16 = 0. Let q(z) = -z**2 + 6*z + 5. Let s be q(j). Suppose -o - s + 20 = 0. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - ((-14 - -6) + 7)) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*c - p + 137, 3*c - 72 = p. Suppose -2*x = -c - 9. What is the remainder when 0 + -1 - 68\/(-2) is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53, -156, -437, -986, -1893, -3248?\n\"Answer: -15*y**3 + y**2 - y - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:24 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 21*j**5\/40 - 93*j**4\/32 - 31*j**3\/4 - 9*j**2\/2 - 12. Let s(g) = 0. Calculate g.\nAnswer: -1, -4\/7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/((sqrt(48) + sqrt(3) - sqrt(3)) + sqrt(3)) - sqrt(40))\/((sqrt(32)\/sqrt(4) + sqrt(8))*5) + ((sqrt(10)\/sqrt(2))**2*-2 + 4)*-6.\nAnswer: -2*sqrt(5)\/25 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9 = 3. Let h be 3*(l + (-13)\/(-3)). Suppose 0*o = -o + h. What is the remainder when 11 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 10*w - 6. Calculate o(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a + 92*a - 50*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -198877, -397756, -596635, -795514, -994393, -1193272?\n\"Answer: -198879*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1265 - -556. Let j = l + 1211. List the prime factors of j.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19 - -2.81. What is the third smallest value in m, 0.5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*j - 78, 0 = m + 2*j + 1 - 19. Suppose m = 15*a - 5*a. What is the second derivative of -46*l**2 + 47*l**2 - 6*l - 42*l**a wrt l?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*h = -11564, -2*n - h - 5797 = -4*n. What are the prime factors of n?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 + 254*j**3 + 222364*j wrt j.\nAnswer: -24*j**2 + 1524*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**20\/h*h)\/h)\/(h*h**6) assuming h is positive.\nAnswer: h**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h - 532 = 23*h - 57*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g + 3. Let a(n) = n. Let j(r) = 4*a(r) - y(r). Let k be j(-2). Find the first derivative of -k*u - 4 + 9*u + 5*u wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8, -2\/5, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -388, -867, -1538, -2401, -3456, -4703?\nAnswer: -6142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 5*u**2 - 3*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3116852 - -23?\nAnswer: 3116875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240845 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) -19 (c) -3 (d) -4\/23 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2399955 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(3*sqrt(832)*-1 + sqrt(832) - sqrt(832) - sqrt(364)\/(sqrt(7) - sqrt(63)*-5)))**2.\nAnswer: 4358133\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -2. Let j = h + -15. Is 9 a factor of 0\/(-7) + (j - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.03, -1\/5, 1\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 128 = -6*i. Suppose -320 = 11*u - i*u. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose 0 = -w*f - z + 39, -4*z = z + 15. Calculate the remainder when 57 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r**3\/5 + 3786*r**2 - 168782*r\/5 - 24498\/5 = 0. Calculate r.\nAnswer: -1361, -1\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**2 - 68*i**3 - i + 3*i**3 - 10*i**2. Let y be x(-1). What is the highest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 3*r - 3. Let d be z(5). What is the units digit of (-6)\/15 + d\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {u: 2, z: 2, m: 1, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*f**3*j**2 - 2*f**3*j*r + 2*f**3*j + 18*f**3 - 110*f**2*j**2*r**3 wrt r.\nAnswer: -2*f**3*j - 330*f**2*j**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -11) + -7 - (-3 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2 + -2 + -4 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -24. Suppose -p = -2*p - a. Let t(x) = -3*x**2 - 8*x + 2. Let j(u) = -2*u**2 - 5*u + 1. Calculate p*j(g) + 5*t(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918816693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3789 by -1145.\nAnswer: 3789\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49839, 99678, 149515, 199350?\n\"Answer: -y**2 + 49842*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: c8 (base 15) to base 5\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/35)\/((814\/(-15873))\/(1\/((-3)\/10))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13\/(q*q**(-2\/29)\/q))**(-10)*q**4*q*(q**2\/q)\/q*(q**(-1\/4)\/q)**(-5\/12) assuming q is positive.\nAnswer: q**(-174235\/1392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.01 and -38031.\nAnswer: -76442.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6587 is divided by 151.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 2.595.\nAnswer: 2.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.03?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3))**(-20)*x\/x**(-6)*x**(1\/2)*x)\/(((x\/(x\/(x\/(x**0*x)*x*x))*x)\/x**(-4))\/(x**(1\/2))**(3\/23)) assuming x is positive.\nAnswer: x**(1028\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t - 4*t. Let z(c) = -1 - 3 + 2*c + 3 - c**2 + t. Let o be z(0). Solve 5*k - 18 = 4*y - o, 20 = -k - 5*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10048 is divided by 156.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26004801?\nAnswer: 3, 8668267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.67, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 193*r - 94*r - 97*r + 11, 3*h - 4*r + 5 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26283155, -52566316, -78849477, -105132638, -131415799?\n\"Answer: -26283161*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216150.1 weeks to nanoseconds.\nAnswer: 130727580480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -233251 - -145?\nAnswer: -233102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 128568067?\nAnswer: -128568069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4 - b**3 + 2017333*b**2 + 7472892*b wrt b.\nAnswer: -12*b**2 - 6*b + 4034666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/11 + 10298*a**4\/11 - 992910*a**3\/11 + 14731702*a**2\/11 - 66117856*a\/11 + 52368768\/11 = 0.\nAnswer: 1, 8, 81, 5051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f + 7. Let l be n(2). Let m = 94 + -56. Calculate the highest common factor of l and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 11*y - 4. Let a be w(8). Suppose a*g - 1402 = 398. Let d be (-2)\/(-4) - 71\/(-2). What is the greatest common factor of g and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-7)*i*i*i**(-2\/15)\/i)**22)**(-4\/7))**(-7\/11) assuming i is positive.\nAnswer: i**(-736\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 7:45 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 24. Suppose -c*r = -5*r + 3. Solve -p + r = -2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 3:07 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 980272 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117019527?\nAnswer: 3, 39006509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86930 is divided by 3086?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3846817 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 2*f - 2*f)*(150*f + 551*f - 221*f).\nAnswer: 960*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12389331*b**3*k**3 - 4*b**2*k**2 + 1497*b**2*k - 7*k**3 - 2*k wrt b.\nAnswer: 74335986*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (2 - 1) - -2. Let i be (-3)\/(-2)*2\/1. Suppose -4*f + 17 = -i*l, -2*f = 2*l - 4*f + 10. Put l, 0, k in decreasing order.\nAnswer: k, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (1 - 1))\/(-1). Does 23 divide -2 + 0 - (n - 26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47281 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -68, -168, -318, -524?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 59*a - 10. Let o be i(2). Suppose 0 = -7*z + 1124 + o. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1377, -2761, -4163, -5583, -7021, -8477, -9951?\nAnswer: -11443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 46 + 154. Let n = 45 + a. Calculate the remainder when n is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-12)*27\/(-450). Let v(y) be the third derivative of 9\/140*y**7 + c*y**5 + 3\/16*y**6 - 5\/12*y**4 + 3*y**2 + 0 + 0*y - 2\/3*y**3. Solve v(p) = 0.\nAnswer: -1, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877841680 a multiple of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/20)\/((-18)\/(-405)*9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208.472 weeks to milliseconds.\nAnswer: 126083865600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1722*r**5 + 1289*r wrt r?\nAnswer: -34440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -296*m - 10064. Let j be l(-34). Let w be (3 - 4)\/(1\/1). Let i be 3 + -2 + (-1)\/w. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5*n**2 - 5*n - 4. Let f be x(6). Suppose 2 = m, f - 1 = j - m. Find the second derivative of b - 3*b + j*b**5 - b wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/64 - (-1672)\/448) + -4. What is the nearest to 3 in y, -2, -1\/27, -1?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l + 3*l. Suppose -341 = -4*u + s, -5*s - 5 = -l. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -25*y**3 + 1195*y**2 + 13160*y - 30380. Let x(z) = 2*z**3 - 92*z**2 - 1012*z + 2337. Let q(j) = 3*h(j) + 40*x(j). Factor q(m).\nAnswer: 5*(m - 26)*(m - 2)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 17155688?\nAnswer: 17155688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -60, -87, -114, -141?\n\"Answer: -27*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x - 54. Let v be z(-17). Suppose -4*n = 9*n + v. What are the prime factors of (50\/8)\/n*-52?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 899, 1936, 3017, 4142?\nAnswer: 5311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/(-6))\/(-5))\/(47\/(-658))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21394285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 178 = 119. Suppose 3*c + 5 - 38 = 0. Calculate the greatest common divisor of b and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1003 (b) 141 (c) -121 (d) -4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.458 (b) 2.5 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.61 + -2.31. Let w = m - -5. Let b = w - 0.080006. What is b rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 12) in base 10?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) 5 (c) 1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -173, -697, -1569, -2789, -4357, -6273, -8537?\n\"Answer: -174*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/7 - 45*g**2\/7 = 0. Calculate g.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -4\/7 (c) -3 (d) 3\/2 (e) 35 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/285 - -49\/285. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, -4, -21 in descending order.\nAnswer: 27, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose 3*q - 28 = 7*q - a*o, 5*q = 5*o - 40. Which is bigger: q or -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 55. Let h(p) be the third derivative of p**5\/20 + 389*p**2. Give h(j(c)).\nAnswer: 3*c**2 + 330*c + 9075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 - 2*q - 2. Suppose 16*z = -119 + 87. Calculate y(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 + -1 - (5 + -4). Let q = 21 + a. What is the remainder when 15 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 2*u + 5*u + 31)*(-75*u - 2*u + 8*u).\nAnswer: -207*u**2 + 2691*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 23. Which is the closest to 2\/15? (a) s (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 9*x**2 - 28*x - 43. Let c be h(-6). Solve -b = 5*z - 23, 3*z - 22*b + c*b - 25 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/k**(-1\/3)*(k*k*k*k**(3\/2)*k)\/(((k**4\/k)\/k)\/k))\/(k*k**2*k*k**(1\/3)*(k\/(k\/k**0))**45) assuming k is positive.\nAnswer: k**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13 = 44. What is the highest common factor of 133 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 4*r**3\/3 + 91*r. Let o(q) = -29*q**2. What is j(o(g))?\nAnswer: -232*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-3)\/108*-188. What is the closest to -9 in 1, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0549 + 85453921.\nAnswer: 85453921.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 604\/(-151)*10\/8. Sort 0, o, 1, 200 in descending order.\nAnswer: 200, 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 16. Let b be d(21). Solve 0*n = b*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505786 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.9 - -27.92885. Round p to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4202*k - 9722*k + 2813*k)*(-4*k + 4*k - 2*k) to c + j*k**2 + m*k and give j.\nAnswer: 5414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2683 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 162.2. Let o = j - -15. Let i = -1446\/7 - -207. What is the third smallest value in o, i, -2\/5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 3*i**2 + 40 + 40 + 35.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9476777143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 6*q**3 - 5*q**3 + 3 - 4*q**2 + 8*q**3 + 4*q as k*q**2 + z*q**3 + p + o*q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 124390 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 8)*(698 - 698 - 108*v**3) to y*v**3 + f + k*v**2 + l*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d + -5?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.46 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6007 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 + 25*x - 39. What is the hundreds digit of w(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-14\/3))**(-44)*(l\/l**(-7)*l)**(17\/3) assuming l is positive.\nAnswer: l**(769\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 9:13 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)*k*k**(-1\/20) assuming k is positive.\nAnswer: k**(37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29148478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 7*z + 7. Let y be i(-6). Let b(s) = -s**3 - 9*s**2 - s - 3. Let t be b(-9). Let w be (t\/70)\/((-6)\/(-21)). Is w less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/5 (c) 41 (d) -0.0891299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54.8 - 55. Which is the closest to g? (a) 2 (b) -0.75 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-33)\/(-9))*-3. Let u(y) = -5*y - h*y**2 + 2*y + 3*y. Let o(z) = 6*z**2. Determine u(o(a)).\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -12*h**3 + 51*h**2 - 66*h + 27 = 0.\nAnswer: 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 32 = -27*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111741 or -103579?\nAnswer: -103579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 19*g**2 - 45*g - 76. Determine o(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -29, -98, -237, -470?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 28 = -7517*u + 7513*u - 143, -26*m + 3*u = 1369 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061076445.\nAnswer: 5, 11, 13, 1484023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 645\/(-45)*1*630\/(-105).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(13\/(-2))\/13*10\/55?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/9 + (-12)\/(-54). Let p(i) = 3 + j*i - 3*i**2 + 4*i**3 - 6*i + 0*i**3 + 2*i**3. Let d(f) = 11*f**3 - 5*f**2 - 5*f + 5. Calculate 3*d(k) - 5*p(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21626023 greater than 21626024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -384003 to the nearest 100.\nAnswer: -384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**3 - 4*v**2 + 4*v. Let p be ((-12)\/(-15))\/(2\/15). Let c(r) = 23*r**3 + 12*r**2 - 11*r. Let l(m) = p*c(m) + 17*f(m). Factor l(j).\nAnswer: 2*j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -25, -5, 14708, 0.014?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 - 3748098?\nAnswer: -3748098.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 8:38 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -77*o**2 + 93502*o + 93502. What is w(-1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 37*s**3 + 3*s**2 + 3*s - 4. Let p be i(-3). Let z = p - -1509. List the prime factors of z.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181367 and 11761.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 0.0025, -3 in decreasing order.\nAnswer: 5, 0.0025, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14747 + 14747. Solve -20*r - 80 = -a*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062442 rounded to four dps?\nAnswer: -0.0624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*k**5 - 84*k**5 + 39*k**5 + (0*k - 3*k + 2*k)*(k**4 - 1 + 1).\nAnswer: -17*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1211*c**4*g**2 - 161*c**4 - 2*c*g**2 - 142413*c*g wrt c?\nAnswer: -14532*c**2*g**2 - 1932*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - r = -w + 15333, -w - 4*r + 7689 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6 + 2 + 4 - 9*m**3 + 13*m wrt m.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 12. Suppose 0*b - 2*b = -x. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 586.3 - 1096.42. Let j = c - -510. Is 0.09 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95222\/16 + (-1 - 45\/(-72)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -1, 5580, -24, 2.\nAnswer: -124, -24, -1, 2, 5580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*d - 6, -d - 3*d = 2*i - 4. Let o(w) = w**3 - 16*w**2 + 25*w - 147. Let v be o(15). Solve d*l = v*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/660)\/(62\/1860)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + -7?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3 + 3 - r**2 + 381*r + 3*r**3 - 379*r. Let q(z) = -4*z**3 + 2*z**2 - 2*z. Let p be -1 - (-2)\/(-2) - -4. What is p*q(h) + 3*w(h)?\nAnswer: h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g + 8. Calculate the remainder when 18 is divided by 21*(-2)\/(-9 + g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3915 in 3, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 3637.60644 minus -5722?\nAnswer: 9359.60644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1939378?\nAnswer: 2, 7, 83, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {g: 6, n: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 + -76. Suppose 4*g + y + 18 = i, -3*g = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -54*l**4 - 251*l**3\/3 + 66. What is the third derivative of h(c) wrt c?\nAnswer: -1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(-10 + 105\/12). Solve a = 22*k - 17*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**6\/1200 + b**5\/600 + b**4\/240 - b**3\/60 + 119*b**2\/2 + 26*b. Let m(w) be the first derivative of x(w). Factor m(o).\nAnswer: -(o - 1)**2*(o + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98266203?\nAnswer: 3, 7, 173309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 15. Let x be y(9). Suppose 2*n = -4*k - 10, -4*k - x = 2*n - k. Suppose i = n*b, -3*i + 2*b + 6 + 15 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/4 + 4*c**3\/3 - 2*c**2 - 4*c - 6. Let i(s) = s**3 - 3*s**2 + 3*s + 3. Calculate -3*b(n) - 4*i(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 214*i**2 + 692*i**6 - 62*i**2 + 49*i**2 + 513*i**2 wrt i.\nAnswer: 83040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 339*m**4 - 95455*m**3 - 172*m**2 + 245772*m?\nAnswer: 8136*m - 572730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 163372741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/29091 and 79\/210.\nAnswer: 2036370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 3060671.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -1) + (290 - 302) + 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/808 >= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 1936151 times -0.02\nAnswer: -38723.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -211, -207, -191, -157, -99?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 346879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 26, 2.8, 4 in decreasing order.\nAnswer: 26, 4, 2.8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6946.\nAnswer: 2, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213124, 211592, 210060, 208528, 206996, 205464?\nAnswer: 203932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 381*i + 150?\nAnswer: 381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-1)\/2)\/(-1). Let d = 12 + h. Suppose 2*k = m - 3*k + d, 4*m - 5*k = 23. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -11.025. Let l = 0.028 + g. Let h = -1.697 - l. Round h to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1 (c) 1\/3 (d) -1559\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 26 = -3*a + 2*l, 5*l = -5*a + 35. Suppose 0 = a*u - 207 - 185. Calculate the remainder when 97 is divided by u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1964)\/67758 + 12980\/276 + 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -437133 (base 8) to base 5.\nAnswer: -14201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.751 * -60.4.\nAnswer: -45.3604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 44*n**2 - 6*n - 6. Let a(i) = 5*i - 37. Let k(z) = -17*z + 130. Let c(t) = -7*a(t) - 2*k(t). Determine 6*c(m) - d(m).\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -43*q**2 + 2*q - 20. Let z(u) = 29*u. Give y(z(f)).\nAnswer: -36163*f**2 + 58*f - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 4*g - 64, -3*x - 1138 = 4*g - 1209 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/6? (a) 20 (b) -0.1 (c) 0.4 (d) 0.01169 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 + 14*w**2 - 2*w - 15. Give a(-6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.69, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -110? (a) -5 (b) -0.5 (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1259238 and 149\/1740.\nAnswer: 12592380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 384571\/245490 - -1\/8183. Calculate the common denominator of -57\/65 and u.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-5))\/(2\/60). Let l = -4186 - -4189. Calculate the highest common factor of d and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = a - 0. Let b be (-14)\/(-6) - (-98)\/((-29694)\/(-505)). Solve 3 = b*h - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Suppose q = -3, 0 = 2*p + 2*q + q - 35. Let n(i) = i**2 + 10*i - 12. Determine p*g(a) - 2*n(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 71597398?\nAnswer: 21479219.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 18*j + 179. Is d(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2345800 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -y + m, -2*y + 3*m = 7*m - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7702012l in millilitres?\nAnswer: 770.2012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1*-4)\/(322*11\/(-77)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8153*j**2 + 1. Let h(v) = -1561*v. Calculate h(b(z)).\nAnswer: 12726833*z**2 - 1561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.3, -1\/2, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n - 11. Let s be g(-13). Let x = s + 208. Solve 0 + 0*j - 3\/4*j**3 + 3\/4*j**x = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w**3 + w**2. Let o = -38 + 12. Let b = o - -28. Suppose -4*x + 2*f + 10 = 0, 3*x + 0*f + b*f + 3 = 0. What is l(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let n = 300.0688 + -0.0688. Let u = n + -304. Which is the closest to s? (a) 0.1 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*i + 200810, 0 = 17*l - 16*l - 3*i - 66932. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 59*x + 3. Let y be t(0). Solve d + 5 = -4*z - 3, y*d + 17 = -5*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -70. Let a(g) = 842*g**2 - g. Is a(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 53. Let n = 36 + i. Let s = -16.99999949 - n. Round s to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/17683 and -47?\nAnswer: 17683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.2 + -6. Let h = 5.6 - 0.6. What is the closest to g in h, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/5)\/a*a\/a**(-3))\/(a\/((a*a\/(a**8*a*a)*a)\/a)*a*a*a\/(a\/(a\/(a\/(((a**(-1\/2)\/a)\/a)\/a*a))))))**(-28))**(-22) assuming a is positive.\nAnswer: a**(-16324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31102330 (base 4) to base 14.\nAnswer: 15bc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13672720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*m**5*w**2 + 3*m**3 + 12*m*w - m - 3*w**2 wrt m.\nAnswer: -740*m**3*w**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5 + 994*z**4 + 1004*z**3 - 3976*z**2 - 3984*z = 0. What is z?\nAnswer: -2, -1, 0, 2, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 3*p + 0*p - 4*p + 4*p + p + p + 4 - 4 + (0*p + 3*p - 4*p)*(3 + 3 - 7) - 30 + 2*p + 30.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68124*x = -68340*x + 5832 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -11)*-2 + -2. Suppose 26*a - z = 20*a. Solve 4*i = a*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5))**(-13)*i\/i**(-1\/3)*i*i**8*i assuming i is positive.\nAnswer: i**(229\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/4 + n**3 - n**2\/2 + n - 4. Let s be l(-3). Let u be 3\/(3*s) - 0. Which is smaller: -4\/3 or u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1626\/45 - (-4)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 32. Let h be j(12). Let k(r) = -r**3 + 8*r**2 - 3*r - 2. What is the tens digit of k(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6. Let l be i\/(-5)*(-25)\/10. Solve 0 = -4*j - 5*c - 21, l*j + 7*c - 4*c = -15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*s = 74, 0 = 2*d - 2896*s + 2881*s - 555 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.493237l in millilitres?\nAnswer: 1493.237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54, -70, -128, -252, -466, -794, -1260, -1888?\n\"Answer: -4*x**3 + 3*x**2 + 3*x - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -6\/23 (b) -0.0826 (c) -43 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1331) + sqrt(1331) + 1 + 1*sqrt(1331) + sqrt(1331) + sqrt(1331) + sqrt(1331)*2*-2 + 0 + -4 + sqrt(1331) + 1 + -5) + -1)**2.\nAnswer: -2640*sqrt(11) + 48316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v - 113 = 3*w, -3*w - 49 = -2*v. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6972 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*o = 13, 35*q + 5*q - 4*o + 30 = 34*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 555823.1 years in decades?\nAnswer: 55582.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 5. Let l be d(-7). Find the first derivative of 14*x**4 - x**4 + 21*x**2 - l - 21*x**2 wrt x.\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/65)\/((-2)\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3 - 3362*m - 9*m**3 + 0*m**3 + 3270*m - 7385 wrt m?\nAnswer: -30*m**2 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let j(c) = -3*c + 152. What is j(x(l))?\nAnswer: 6*l**2 + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2594 + 445 = 3*d. Let h be (-2)\/(-4)*2 - d. Let n = h + 6143\/6. Calculate the common denominator of -127\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 10*w + 25*w - 8 - 10*w.\nAnswer: -4*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 1. Suppose 4*w + 2 = 3*m, -5*m - 4*w - 50 = -0*w. Let z be (-4)\/m*(-9)\/(-6). Let t(f) = -1. Determine z*h(r) - 3*t(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 779.1594ms?\nAnswer: 0.01298599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2\/3 + 85*m - 3040\/3 = 0. What is m?\nAnswer: 19, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 8) to base 14\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.853495 + -0.835. Round o to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 2*v - 4. Let z be d(4). Let i be 55 + (-2 - -1) - 1. Suppose -a - x = 3*a - i, 2*a + x = 27. Solve -z*t + a = -3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/2 - 20896256*c + 218326757408768 = 0?\nAnswer: 20896256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 12448955*q**2 - 24897895*q - 12448945.\nAnswer: -5*(q + 1)**2*(q + 2489789)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -9*s + 744. Solve -n = -127 + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -35*c + 1045. What is k(29)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 3*s = 4*h + 43, 3*h - 67 = -5*s. Solve 2*x - 6*x + h = -2*j, -x = -2*j - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31699, -127128, -286275, -509140, -795723?\n\"Answer: -31859*l**2 + 148*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -178, -404, -720, -1126, -1622?\nAnswer: -2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101219967 and 4170111?\nAnswer: 1113419637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 156\/(-78) + 4201 + -2 + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530957431 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: Simplify (5*-4*sqrt(484))\/(sqrt(11) + sqrt(11)*-2*-1) + -4.\nAnswer: -40*sqrt(11)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ara when three letters picked without replacement from aaaaraaa?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 11. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzoowoz. Give prob of sequence oz.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76.49 + -77. Let o = 0.5 + q. Let f = -2.11 - o. What is f rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171169581 + 1\nAnswer: 171169582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0 + 1)*(2*u**3 + u**2 - u**2 + (2*u**3 - u**3 + u**3)*(3 - 4 + 2) + 0 + 0 + u**3 + 2*u**2 - 2*u**2 - 2*u**3 - 2*u**2 + 2*u**2 + u**3).\nAnswer: 8*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = -2*f. Solve f*s = -2*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0, -5, 86, 67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11894, 11891, 11888?\nAnswer: 11885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 3*t - h + 49, -3*t = 5*h - 108. Suppose -4*j - 33 = -2*k + t, 0 = 5*k + 4*j - 146. Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30267\/11 > -2752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62670 by 6.\nAnswer: -10445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/644 and 47\/92?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u + 950 = 32*u - w, -u - 469 = 2*w. Let j = -475 - u. Solve 3*z = -z + 5*r - 4, 2*r = j*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -2)*(-12 - -13). Solve -c*z - 4 = -8*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 214 (b) -4 (c) 0.1 (d) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*p + 11 = 0, -2*n + 0*p + 2*p + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0199069909 to six decimal places.\nAnswer: 0.019907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**2 - 18*w + 166. Let x(h) = -2*h**2 + 6*h - 56. What is 5*p(c) + 16*x(c)?\nAnswer: -2*c**2 + 6*c - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -19766\nAnswer: 632512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 7}. What is prob of sequence ld?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 5*r + 10. Let w(a) = -a**3 + 5*a**2 - a - 2. Let u be w(3). Let b be d(u). What is the remainder when 17 is divided by 4\/(-22) + b\/110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 + (117 - (-23 - -123)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(325) - (1 + sqrt(325))) + (1 + sqrt(325) - sqrt(325))*-5)*-6)**2.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77439907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317859, 317873, 317885, 317895, 317903?\nAnswer: 317909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = x - 95746, -2*x - 19913 = -2*t + 43931. Suppose 17*n - 14*n - t = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -14, 1, 3, -3.\nAnswer: -14, -3, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4\/2 + 288*x**3 - 6531*x**2\/2 + 4545*x + 8100 = 0. Calculate x.\nAnswer: -1, 3, 10, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -20*n + 2. Let v(h) = 14 + 10*h - 12 - 11*h - 18*h. Determine -2*k(p) + 3*v(p).\nAnswer: -17*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 8, -10, 45 in descending order.\nAnswer: 45, 8, 4, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1671\/63 + -2 + 2 + (-66)\/77. Let o = 42 + -17. Does g = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooowoww. What is prob of sequence ow?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247371 is divided by 1649?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -61. Let w = 8 + o. Sort 4, -2, w.\nAnswer: -2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + p**3 - 3*p - 2*p**3 - 3*p**2. Let m be (6\/(-9))\/(2\/(-6)). Let s(f) = -3*f**m + 3*f**2 + 5*f - 4*f + f**2. What is 3*s(t) + y(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.548 + -1.548. Which is bigger: w or 2\/2473?\nAnswer: 2\/2473","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20904776?\nAnswer: 2, 181, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 1031, 1564, 2289, 3194?\nAnswer: 4267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -56. Let y = 9 + -8. Which is the second biggest value? (a) l (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 211308658.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25729.\nAnswer: 11, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/13 (b) 19 (c) -0.3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8)*o**(-5))\/(o**2\/((o\/((o*o**5)\/o))\/o))*(o**(-1))**(2\/7)*(o**(-6)\/o)\/(o*o**(-1)*o*o) assuming o is positive.\nAnswer: o**(-1171\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38806771 is divided by 12935586.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 296 = 17*n. Let i(d) = -3*d**2 - 9*d + 9. Let g(l) = -5*l**2 - 18*l + 17. Let p(z) = -4*g(z) + 7*i(z). Determine p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/3 - 364*c**4 + 94875*c**3 + 7422538*c**2\/3 + 4662276*c + 2283336 = 0 for c.\nAnswer: -22, -1, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065161771 to the power of 1\/2, to the nearest integer?\nAnswer: 32637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 256*w**2\/3 + 2152*w + 9984.\nAnswer: 2*(w + 6)*(w + 26)*(w + 96)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301042140034 - -2?\nAnswer: -301042140032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28, 77, 160, 283, 452, 673, 952, 1295?\n\"Answer: u**3 + 11*u**2 + 9*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347093*u = 347168*u + 4575 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1912)\/(-3) - (-9 - -4)\/(-15). Suppose -28*x + 119 = -j. Solve -x*a + 9 = -24*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g**2 + 7*g**2 + 8*g**2 - 9 + (2*g**2 - 3*g**2 + 5*g**2)*(-2 + 0 + 0) - 22*g**2 - 1 + 3 + 24*g**2 - 2*g to the form c*g + i*g**2 + w and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.008.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68) + sqrt(68))*-1)\/(sqrt(128)\/sqrt(2)) - (-4 + (sqrt(1700) + 2)*5)**2.\nAnswer: -42536 - 1201*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111110011 (base 2) to base 15.\nAnswer: -19e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 3, f: 13}. Give prob of picking 1 h and 2 f.\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = -2*m - 4, -5*n = 5. Suppose m*i - 46 = -0*i. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46244512 (base 7) to base 12.\nAnswer: 143097a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2 - 12*h - 5. Let w(m) = 4*m + 5*m**2 - 3 + 0*m + 8*m + 7. Let y(d) = 4*t(d) + 5*w(d). Does 20 divide y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 9*h = -64474374 + 22359774. What is h rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 3\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 + 984 = -1187*a - 1020 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6358 (base 9) to base 15.\nAnswer: -15b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8*g - 1488 - 260, 4*l + 3*g = 3515. List the prime factors of l.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Suppose -2*t + u - 5*u - 12 = o, t = 3*u + 9. Suppose 6 = -2*j + 2*r, t*r = -2*r + 2. Let y(f) = -2*f**3 - f**2. Determine y(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 6 + -4 + -6 + 10 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*l + l - 14, -4*f + 8 = 0. Suppose -3*a + l*z = -6*a + 23, 5*a - 17 = 4*z. Let v(b) = b - 3. Let p be v(a). Solve -p*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/((-9000)\/(-16)))\/(1\/5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164406 - -202?\nAnswer: 164611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69838, -142608, -215378, -288148?\n\"Answer: -72770*b + 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 3 - 30)*(-1406)\/(-76)*2\/(-13)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -9 - -5) - 800\/112\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.049781, -0.31, 3\/2 in ascending order.\nAnswer: -2, -0.31, 0.049781, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 0.3, 0.4, -0.2, -1 in descending order.\nAnswer: 0.4, 0.3, -0.08, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/516 and -74\/105?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 578 and 22943.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1518 by 68392.\nAnswer: 759\/34196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 3 + 1)*(68 - 437 + 113)*(-4 - 1 + 3)*(1 - 1 + 2*z) in the form b + v*z and give v.\nAnswer: -5120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 55 = -53. Let n be (h\/45)\/((-4)\/(-20)). Let i(s) = -2*s - 3 + 4 + 3*s. What is i(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69944768.\nAnswer: 2, 1092887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 29 = 13*f. Let p(t) be the first derivative of 13*t**f + 69\/5*t**5 + 81\/4*t**4 + 0*t + 3*t**2 + 7\/2*t**6 + 6. Factor p(l).\nAnswer: 3*l*(l + 1)**3*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 2*w**2 - 3*w - 1. Let s(t) = 96*t**3 + 44*t**2 + 68*t + 173. Let r(g) = 2*s(g) + 46*u(g). What is the derivative of r(d) wrt d?\nAnswer: 714*d**2 - 8*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77088 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -206? (a) 0.1 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017643 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 9*u**5\/20 - u**4\/2 - u. Let c(b) be the third derivative of b**6\/15 - b**5\/12 + 80*b**2. Determine 6*c(t) - 5*d(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 147701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1642338 by -821169.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 - -5.1. Let w = -53888.6869 + 53891. Let x = w - m. Round x to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 - 1 - 2*b**2 + 2*b**2 + 5*b**2 + 9*b**3 - 2*b in the form u + k*b**3 + h*b + o*b**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8819 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -261072*m**2 + 1772*m**3 - 4*m**4 + 12704320*m - 2917070 + 9028920 + 4756633 + 2098685 = 0.\nAnswer: -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4 and 69\/7420.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 3*p)*(-3 + 1 - 1 + (3 - 3 + 1)*(-1 + 2 - 3)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.60638 nanometers to meters.\nAnswer: 0.00000002660638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38582.\nAnswer: 2, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7986439 decades to months.\nAnswer: 95.837268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:52 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591469, -591459, -591435, -591391, -591321, -591219?\nAnswer: -591079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18671450 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-22) + (-13976)\/88. Let c(b) = -3*b + 9. Let n be c(12). Let m be s\/(-27) - 3\/n. Which is bigger: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 7:40 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -745380 divided by -9090.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251879 - 25*a**3 - 251942 + 503821.\nAnswer: -25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5697898 and 43\/2.\nAnswer: 5697898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.031039 and -0.6.\nAnswer: -0.0186234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2241 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40.4471 in -8, -0.2, -2, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Let r = -161 - -161. Let v(m) be the third derivative of 0*m**3 + 0*m + 1\/10*m**5 + r + 0*m**4 + 4*m**2. Determine v(p(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3691269*l - l**2 + 3691269*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*m + 11 = 277 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(88)*-3*6)\/(-1*sqrt(128)*-5) + 0.\nAnswer: 27*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-198)*(-3)\/(-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143543 - 141119 - 143543 + 428205 + 4*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 5*b + 7. Let x(c) = -6*c**2 - 14*c + 20. Give 8*d(h) - 3*x(h).\nAnswer: 2*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*z**2 - z**4 + 20*z**3 - 53*z**2 - 113*z**2 - 314*z**2 wrt z?\nAnswer: -24*z + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -7.6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1905, -1908, -1913, -1920, -1929?\n\"Answer: -q**2 - 1904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 8*p, 2*p - 121 + 119 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 6*w - w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 15*w + 5. Let i be c(0). Solve i*k - 25 = -0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/48 - (-2 + 1). Let h be 9\/(-12) + 102822\/154728. Let m = -3\/307 + h. What is the nearest to 0 in o, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4068*u + 4067*u - 1 + 2. Let q(j) = -3*j - 13. Give f(h) - q(h).\nAnswer: 2*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 68248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2883 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -41*j + 2. Is 15 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*z + 12 = 198*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - ((-2 - -1)\/(-1))\/(-1). Let o be r + 1523\/(-1190) - (0 + -4). Let f = o + -1\/170. Put -2\/15, -1\/3, f in ascending order.\nAnswer: -1\/3, f, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 257 = 257 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*b + 96, 2*f - 2*b = -5*b + 201. Find the second derivative of -2 + 2 - f*d**3 + 98*d**3 - 8*d wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 20698*m - 1 - 51720*m + 0 + 1 + (2 - 2 - 1)*(-2*m - 2*m + 5*m).\nAnswer: -72419*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 8*z - 6. Let t(g) = 612. Let v(u) = 47. Let q(x) = -t(x) + 13*v(x). Give a(f) - 6*q(f).\nAnswer: 3*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -123, -235, -375, -543, -739, -963?\n\"Answer: -14*g**2 - 42*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38162536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, s: 6, d: 1}. Give prob of sequence sf.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, w: 4, s: 1, a: 8, t: 1}. Give prob of sequence aas.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auiuiiuxuaeeuuuiiau. What is prob of picking 1 u, 1 a, and 2 i?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*k**2 - 22 + 22)*(2*k + k - 5*k - 13 - 3*k + 13 - k - 2 + 2 - k - 2 + 2 + (0*k - 3*k + 2*k)*(-5 + 2 + 4) - k + 5*k - 2*k).\nAnswer: 174*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2, -7 in descending order.\nAnswer: -1, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 4*u - 4*u)*(-1 + 1 + 2) - 4*u + 2*u + u + 0 + 3*u + 0 - 2 + u + 2 + 4 - 11 + 30*u + 7 + (-2 - 2 - 2)*(8*u + 5*u + 7*u) to p + w*u and give w.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or 2863916\/21?\nAnswer: 2863916\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 384281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n*o*y + 955*n*o + 2*n*y + n + 334315*o*y + y - 30 wrt y?\nAnswer: -2*n*o + 2*n + 334315*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-10 - -3) - -2. Let k = n - 8. Let q be ((-4)\/2)\/(-4)*-1. What is the closest to k in 6\/5, -2\/5, q?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/6)\/((z**8*z)\/z))\/(z**(-8)\/z**(-5\/6)))**(18\/7) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/21)*a)**(-2\/61)*a**(-2\/15)\/a*a*((a\/((a*a**(4\/5))\/a))\/a)\/a)**47 assuming a is positive.\nAnswer: a**(-197447\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 39 (c) -4 (d) 16 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -8, -j + 12 = -0*x - 5*x. Let b = -1 + j. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:03 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 573*p**2 + 127*p + 379. Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s + 2. Let b = s + -3. Is 0 + b + 1 + 86 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 - 2*b**2 - 3*b**2 + (-2*b + 3 - 3)*(3 + 2*b - 3) - 2*b + 2*b + b**2 - 81*b**2 + 6*b**2 - 45*b**2 to u*b**2 + j*b + t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*g = 72*g - 3515 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (0 - (6 - -1)) - 18 - -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4 + 20240*n**3 + 29022288*n**2 + 8649280640*n + 730464227584 = 0.\nAnswer: -2348, -182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g - 284 = 1831 - 320 + 137 for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1, n: 6, a: 2}. What is prob of sequence nn?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 780 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*f**4 + 45969*f**3 + 622095*f**2 - 942669*f + 274590 = 0. What is f?\nAnswer: -3051, -15, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 - -7. Calculate the remainder when 151 is divided by a.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 952\/(-6)) + (-14)\/21?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 232983.\nAnswer: -4193694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 + 40098721.9911?\nAnswer: 40098723.3911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/3, 183, 0.55?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -64 - (-3 - -2) - 2. Let s be (-6)\/(-9)*-3 - f. What is the highest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -75, 15, -148, -1\/4 in increasing order.\nAnswer: -148, -75, -1, -1\/4, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3288*h**2 + h + 3280*h**2 - 24*h.\nAnswer: -8*h**2 - 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:59 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 10*u - 24 = 0. Calculate the lowest common multiple of 66 and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -2137?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 2. Let h be b(2). Let a be 4\/h + 3 + 1. Suppose 3 = a*n - 7. Solve 4*r + n = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 + -34. Suppose 2*t - 8*t = -h. What is the lowest common multiple of t and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180086 + 335133. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b**3 - b**2 + 9*b - 9. Let o(u) = u**3 - u + 1. Let z(m) = -1626*m + 2. Let v be z(0). What is v*k(a) + 18*o(a)?\nAnswer: -4*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -15. Suppose -4*k = f - 25, -2*f + 4*k + 125 = 3*f. Calculate the remainder when f is divided by (-1 + 1 - n)*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b = 2*p - 19*b - 8, -3*b - 6 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a13 (base 13) to base 3.\nAnswer: -2100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = -4*q + 11*i + 4, -2*i - 3 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from khddddhddthk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + 40*m**2 - 38*m + 7. Let o be k(19). Solve 2 = -o*z - 26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234588 is divided by 2655?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -563 + 687. What is the remainder when 366 is divided by y?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 3*o**2 - 1. Let u be s(3). Let k = u - -3. Calculate the remainder when 5 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = f - 7, 20*q = 21*q - f - 8. Suppose q*i = -2*p, 5*i = 5*p - 0*i - 50. Suppose 3*z - 29 = -4*c, -c + 22 = -z + 4*c. Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -7*q + 412. Suppose 8*g + 8 = q. Calculate the greatest common divisor of g and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyxyyypy. Give prob of picking 3 y and 1 x.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + -1.97. Let y = 6\/25 - 11\/150. What is the nearest to -1 in w, y, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -14 - 17) + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198187 is divided by 347?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/11036781 and 65\/19359.\nAnswer: 99331029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d)**46\/((d\/(d**4*d*d*d)*d*d)\/(d*d**(-3\/8)\/d)) assuming d is positive.\nAnswer: d**(-707\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 51202125?\nAnswer: -51202140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 82 + 62. What is the remainder when z is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 2088.\nAnswer: -14616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 76a (base 11) to base 2\nAnswer: 1110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l - l)*(-5 + 4 - 1)*((0*l**3 + 3*l**3 - l**3)*(l + 0*l - 5*l) - 19*l**3 - 7*l**4 + 19*l**3).\nAnswer: -60*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2577706.\nAnswer: 2, 1288853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1354 - -1360. Suppose 0 = -4*q + 3*k - 15, 0 = -4*q + 8*q + 5*k - 25. Suppose -4*t + 8 + 40 = q. Calculate the remainder when t is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-9\/7)*v\/(v*v**(-4)*v)*v*(v\/v**(2\/11))**20 assuming v is positive.\nAnswer: v**(1744\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/7 (b) 4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402.3 + 402. Let k = -3.5 + 2. Let p = k + 0.5. What is the second smallest value in -1\/8, l, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmm when three letters picked without replacement from {p: 5, m: 11}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52162.884925737 - -0.118074263. Let s = b - 52192. Let c = -29 - s. Round c to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4782.234 millennia?\nAnswer: 47822.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 - c. Let g be m(-5). Suppose -g*v + 6*v - 12 = 0. Solve v = 2*i + i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Factor 2 + q*d + 2 - d**2 - 7.\nAnswer: -(d - 3)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3544602, -3544599, -3544596, -3544593, -3544590?\n\"Answer: 3*h - 3544605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.0512 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.2 to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670110262.\nAnswer: 2, 251, 1334881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 3, v: 5}. Give prob of sequence suu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 7:02 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -973036 rounded to the nearest 1000?\nAnswer: -973000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15553 or 2.1?\nAnswer: 15553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 0.5 (c) -1\/2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -116, -360, -614, -884, -1176, -1496, -1850?\n\"Answer: -b**3 + b**2 - 240*b + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-12)\/4 - (-6 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 412*o**2 + 613*o - 2414. Let j be s(4). Calculate the highest common factor of 40 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2021, -2012, -1995, -1970, -1937, -1896?\nAnswer: -1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 486865 bigger than 486865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/3))**(-13))**(-4\/9)\/(u\/((u**(1\/2)*u*u)\/u)*u**(1\/14))**(-24\/5) assuming u is positive.\nAnswer: u**(7156\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 180*l - 317*l)*(-5 + 3 + 0)*(-4 + 2 - 2).\nAnswer: -1144*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n**2 + n + 1. Let t(x) = x**2 - 43*x + 119. Let h be t(40). Let m be g(h). Solve 0 = 24*q - 29*q + m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1902447, -3804900, -5707353, -7609806?\n\"Answer: -1902453*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*f - 4*r - 5, -f + r + 2 = 0. Suppose -5*u + f*u = 0. Let a(h) = h + 9. What are the prime factors of a(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 4*y**2 + 5*y + 6. Let d be j(5). What is the second derivative of -r - d*r + 0*r + 10*r**2 wrt r?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 51 - 40 = 0. Calculate the remainder when (-52)\/r*1\/(-4)*281 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/477 in 21, 2, 5.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z - 7. Let v be u(2). Let b = v + 4. Solve -a + 6 + 7 = -b*g, 0 = 2*g - a + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, -3, 2, -2 in ascending order.\nAnswer: -3, -2, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12921 in 0.2, 2\/3, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -11*g - 4, -28*m - 3*g - 7 = -27*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -76713 to the nearest one thousand.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 75*n**3 + 60*n**2 + 140*n.\nAnswer: 5*n*(n - 14)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + -3. Let j = 1789 + -1791. Let h = -17.3 - -17. Which is the nearest to h? (a) j (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*x + 3404 = -1012 + 402 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 43. Let d be m(-40). Put d, 9, 5 in increasing order.\nAnswer: d, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -1\/10, -6, 2\/17?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 24*j - 20. Let g = -157 - -142. Let z be y(g). Calculate the greatest common divisor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.578*-102262\nAnswer: 59107.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9722419617 to 5 decimal places.\nAnswer: -0.97224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 350576899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2077\/102 + -92\/51. Let d = 1597\/33 - 559\/11. Find the common denominator of c and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liiiyiliiiyly. What is prob of sequence yi?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -22.8. Let k = -9.7 - -9.7. What is the second biggest value in k, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose 0 = 3*p - 4*p - 4*v + 3, -3*v = 0. Suppose p*o - 15 + h = 0. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 11*l**3\/3 - 9. Let f(h) = -3*h**2 - 2*h. Let d(x) = 2*x - x + x**2 + 3*x - 3*x. Let k(j) = 2*d(j) + f(j). Give a(k(b)).\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -50, -3, 24, 62, 1 in descending order.\nAnswer: 62, 24, 5, 3, 1, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 944991250 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s**2\/11 + 78103128*s\/11 + 254170775141016\/11 = 0.\nAnswer: -6508594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 15) + 0 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -38.1. Round c to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1360206.577 + 1359116. Let h = i - -1090. Let q = -0.053 + h. What is q rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -976 + 969. Let s(x) = x**3 + 7*x**2 - 8*x + 6. Determine s(n).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1554, -1553, -1550, -1545, -1538, -1529, -1518?\nAnswer: -1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 77 = 3*l, 0 = 5*l - 3*r + 112 + 5. Let n be (3\/l)\/((-3)\/8*2). Sort n, 0.1, 1.5.\nAnswer: 0.1, n, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {f: 1, b: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0798104 months to millennia.\nAnswer: 0.0000899842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276889016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 949 + 1ee?\nAnswer: b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 0 + 0 - 14*g - 3 + 1. Let r be a(-3). Find the second derivative of -5*i**2 + 7*i + 40 - r wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 827758*f**2*m - 6*f*m + 24*f + 111*m + 2 wrt f?\nAnswer: 1655516*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22140009301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c + 34*c + 2 + 29*c - 3 - 96*c.\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3)*(640\/48)\/5?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 76*h**3 + 2*h**2 - h. Suppose 1 = -3*z + 4. Let u = 0 + z. Is f(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17378.7 rounded to the nearest 100?\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 296 + 289. List the prime factors of t.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let w(l) = -2*l**2 - 24*l + 24. What is the remainder when w(-10) is divided by u(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 178585563139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 14 - 5*c - 12)*(3 - 5 + 0).\nAnswer: 8*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 1\/36*g**4 + 0 + 0*g**3 - 7*g + 0*g**2 - 1\/60*g**5. Factor p(r).\nAnswer: -r**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/7 + 7472*v**4 - 21373850*v**3\/7 + 2924871084*v**2\/7 - 132341593176*v\/7 - 19326841488 = 0. Calculate v.\nAnswer: -1, 138, 25739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2142011 and 0.1?\nAnswer: -214201.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 248750775 divided by -1575\nAnswer: -157937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-76)*(-2014)\/636\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 4*w + 2. Let n(y) = y. Determine f(p) - 6*n(p).\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + s. Let y be (3\/15)\/(4\/60). Let c(d) = -3*d**2 - 2*d. Determine y*c(l) + 6*k(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 12*v - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 42.76 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from llslsqqs?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k + 3\/5*k**3 - 6\/5*k**2 + 108\/5.\nAnswer: 3*(k - 3)**2*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + f**2 - 1. Let u(b) = -3*b**3 - 5*b**2 + 20*b - 5. Let v(i) = 2*j(i) - u(i). What is the tens digit of v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 214125*p**2 + 42825*p - 14275. Let s(u) = -16*u**2 - 3*u + 1. Calculate l(i) + 14275*s(i).\nAnswer: -14275*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28177447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28606.\nAnswer: 2, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62052190 a multiple of 730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84597.01 nanoseconds to seconds.\nAnswer: 0.00008459701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = d - 5*j, 3*d + 5*j = 23 + 3. Let g(l) = -2*l - 32. What is the remainder when g(-19) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u. Determine s(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.00809l to millilitres.\nAnswer: 43008.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2862*n + 43000. Give a(15).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -11*p**4\/8 + 65*p**3\/3 - 93*p**2 - 36*p + 148. Factor q(a).\nAnswer: -(a - 6)**2*(11*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j - 5*j**3 + 12*j + 12*j - j**3 + 5*j**3.\nAnswer: -j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 16*d)*(0*d + 2*d + d).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 4 - (7\/1 - 17). Solve -5*l + h*q = 2*q, 15 = 3*q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(704) - (sqrt(704) + -2 + -5))**2 + sqrt(704) - 5*(sqrt(704) - (-2*sqrt(704))**2)) - (1*(-5 + (sqrt(704) + 2)*-5))**2.\nAnswer: -60212 - 1104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 2, 0.2, -0.2 in descending order.\nAnswer: 2, 0.2, -0.2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.9 + -17. Which is the second biggest value? (a) -1 (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/352*((-1)\/2 + (-29)\/(-42)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.111901.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626707 + 626379 = 164*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11309274 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.712 and -674.313.\nAnswer: -672.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q. Let w(j) = -j**3 + j**2 - 2*j. Let l be w(0). Let p(u) = 0*u - u + l*u. Determine p(z(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-9 + 8 + (21\/3 - 1)). Factor 0*n - 4\/5*n**2 + 2\/5*n**3 + o.\nAnswer: 2*n**2*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 3, 0 = -3*c + 4*z - 7. Let h be (-2)\/(((-4)\/(-14))\/c). Let w(q) = h - 7 + 0*q - 2*q. Let m(y) = 3*y**2. What is w(m(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 2:58 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 31*y**2 - 227*y - 34. Determine g(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.23 + -24. Let t = y - 0.03. Let f = -74\/213 + 1\/71. Is f at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 6 - 7\/3*w**2 + 2*w + 4\/9*w**3. Determine z, given that u(z) = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhchvxaxcct. What is prob of picking 2 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 25 - 26 - 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 44265*y**2 + 61*y + 137. Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 40*z. Let k(b) be the first derivative of -45*b**2\/2 - 518. What is k(v(x))?\nAnswer: -1800*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*t**2 - 138*t**2 + 7*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 5*j = 6, -2*a + j - 3 = 0. Factor -4\/7*t - 1\/7*t**4 + 0 + a*t**2 + 3\/7*t**3.\nAnswer: -t*(t - 2)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -2*a - 5*u, 4*a - 3*u + 4*u = 318. Suppose 0 = 2*d + 62 - a. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + 320\/152.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095785547.\nAnswer: 3, 53, 6891733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 - 4) + -8 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186911 < 1186911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -244*w**4 + 9527*w**3 + 6*w**2 - 13*w + 103986?\nAnswer: -5856*w + 57162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 3*t**7\/70 + t**6\/75 - 27*t**5\/50 - 7*t**4\/5 - 43*t**3\/30 - 3*t**2\/5 + t + 111. Factor n(k).\nAnswer: (k - 3)*(k + 1)**3*(9*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -388 - -376. Which is the smallest value? (a) g (b) 22 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -351*l**3 - l**2 + l. Let v(d) = d**3 - 2*d - 1. Give m(b) + v(b).\nAnswer: -350*b**3 - b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 + -3 + -4 - (-10 - 9)) + 52\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 998?\nAnswer: 8982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(220))\/sqrt(4) + sqrt(55) + 5*sqrt(165)\/sqrt(3))\/(-5*sqrt(10)\/sqrt(2) - sqrt(320)) + -1.\nAnswer: -6 - 4*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -215\/47? (a) -1\/8 (b) 0.5 (c) 575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 6.1. Let r = q + 0.1. Let g = -59\/5 + 11. Put r, 0.2, g in decreasing order.\nAnswer: 0.2, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*j**2 - 380*j wrt j?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618475 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9*(21\/(-9)*3 - 150).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(sqrt(112) - (sqrt(112) + -2)*-2).\nAnswer: -16 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzzz when four letters picked without replacement from {v: 2, x: 2, z: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*p**2*q**3*x + 4*j*p*q**3*x**2 + 3163*j*x - 104762*p**2*q**3*x**2 - 2*p**2*q**3*x + 3*p*q**3*x + p*x wrt x.\nAnswer: 8*j*p*q**3 - 209524*p**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5352\/731 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 - 865*k**2 + 865*k**2.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i + 1. Let p(n) = -n**3 + 3*n**2 - 1. Let r(l) = -2*c(l) - p(l). Calculate r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 267 or 0.037?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 3963548, -2\/7, 2 in ascending order.\nAnswer: -2\/7, 4\/7, 2, 3963548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25726 and 1064.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 564144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose g*f - 6 = -f. Suppose 0 = -3*h - n + 62 - 45, -36 = -4*h + 2*n. What is the remainder when h is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/80 + 5*o**4\/48 - o**3\/8 - 9*o**2\/8 - o. Factor t(j).\nAnswer: -(j - 3)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 780*n**3 - 29455*n**2 - 81480*n.\nAnswer: -5*n*(n + 3)*(n + 56)*(n + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p - p. Suppose 2*s + 2 = -2*t + 4, 5*t = 3*s - 27. Solve -s*k + p*k = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*a - 8862, a + 4*p = p + 2211. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 132*m**2 - 132*m - 152. Determine t(133).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/45 - 326\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3296 + 2*q - 261*q**4 - 25809998*q**2 + 25809998*q**2 wrt q.\nAnswer: -1044*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10525 + -3?\nAnswer: 10522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/3413, 0, 0.1, -3222.\nAnswer: -3222, -0.5, 0, 2\/3413, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 4*z - 13*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = 25*o + 14*o - 13*o + 390 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 15*f - 80 = 0. Which is the smallest value? (a) -5 (b) f (c) -0.39 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Let h = -6863\/24 - -286. Let d(g) be the third derivative of 0*g - h*g**4 + 0 + 0*g**3 + g**2. What is d(m(i))?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1126*g**2 + 2*g - 9. Calculate x(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*r - 14, 11*r - 22 = -o + 16*r. Is -2199 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + -18. Let t = o - -67. Suppose -t*i = -107 + 27. Solve 4*k = -k + i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/3 + 990*a.\nAnswer: 5*a*(a + 594)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from njnzjtqzx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 19 + 4*m**3 + 578*m - 578*m to n*m**3 + i + w*m + y*m**2 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4 + sqrt(147) + -1)**2 + 5 - (-3 + (-2*sqrt(432) - sqrt(432))*-4)).\nAnswer: -180 + 214*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 12*q**2 - q - 9. Let z be d(-12). Let o(w) = 5*w**2 + 4*w + 5*w**2 - 20 - 3*w**3 + 4*w**z - 7*w + 10*w. Determine o(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 5 = -2*w. Let u be (-43)\/w + (-2)\/(-9). Suppose -2*n = 3*n - j - 96, -4*j = -u*n + 84. Calculate the highest common factor of 160 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 348 = 3*n - 385, -5*n + 60 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*t - 3*w, 0*t - 5*w - 1 = 3*t. Solve -g + t = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x - 11. Let m be f(-4). Solve -1 = -3*t + m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x, 3*h + 5*x = 33. Let p = h - 12. Let v be (-2 + 5)*1 + 1. Which is the smallest value? (a) p (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 16 = 7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2202*v - 180 = -2220*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:51 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*u = 1069, 12*c - 7*c = 4*u + 1057. What is the remainder when c is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5.1, -5, -0.5, 6, -2 in ascending order.\nAnswer: -5.1, -5, -2, -0.5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 9:14 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 l, and 1 i when four letters picked without replacement from nfnfdnddnildddilluni.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3744521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2601*t - 2612*t + 957 = 0. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 288*h**2 + 3444*h + 11368.\nAnswer: 4*(h + 7)**2*(h + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637.5883 rounded to the nearest integer?\nAnswer: 3638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6513\/67 or -98?\nAnswer: -6513\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2427 and 12567006?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, v: 2}. Give prob of sequence vf.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose 4*x + 12 = 5*x + f*l, -2*x + 16 = 4*l. Solve x*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861736 <= 861735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 4 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((42*h - 45*h - 32*h)*(2*h**2 - 5 + 5) - 6*h**3 - h**3 + 33*h**3)*(-1 + 1 + 1).\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - x**2 + 7*x + 9. Suppose 0*c + 9*c = 0. Suppose 3*n - 2*n - 5*g = -19, -n - 3*g + 5 = c. List the prime factors of y(n).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 8:14 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4487?\nAnswer: -3\/4487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z. Let f be 1 + 3*(-6)\/(-9). What is the units digit of -2 + z + 7*f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30075678889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = 2*o + 2, -2*o + q = -13. Suppose -5*b + 57 = o*u, u + 26 = 3*u + 2*b. Suppose d - u = -4. Solve 2*v = v + d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 - 2*j**2 - 4*j - 4. Give v(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90472831?\nAnswer: 103, 878377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -631 + 265. Let p be (-9)\/(297\/(-6)) - 460\/(-11). What are the prime factors of 2\/7 - c\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from wtajavtz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 27*n**2 + 6*n - n - 25*n**2 - 5*n**3 to the form u*n + p*n**2 + q*n**3 + l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/40*(7\/((-336)\/(-160)))\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127718377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/10)\/(8\/10). Let q = 131 - 130.9. What is the closest to q in 0.3, 2\/3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 5204720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n*n)\/n*(n*n*n**(-6)*n)\/n*n**(1\/5)*(n**(-7)*n)\/n*((n*n**3\/n)**(-45))**12 assuming n is positive.\nAnswer: n**(-8164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365 - 44396*a**2 + 367 - 1470 + 44402*a**2 + 369 + 369.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, 0, 15, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278790084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*g + 22, 7*g - 16 = 4*z + 9*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13321886 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2478981 is divided by 45907.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 - 254*a\/5 + 1452\/5.\nAnswer: 2*(a - 121)*(a - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18418 + -110507\/6. Which is the nearest to 55\/17? (a) 1\/4 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(245)*-4 + sqrt(245) + 4) + (-4*sqrt(245) + -3 + sqrt(245))*-3*3.\nAnswer: 28 + 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + a70?\nAnswer: a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -44, 2, 2\/17, -5 in increasing order.\nAnswer: -44, -5, 2\/17, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (41 + -5 + 1) - (-4 + (-1 - 1))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.0781 - -0.0781. What is the nearest to u in 3, 8, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -743.77 - -2.039?\nAnswer: -741.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-8 + 2)) + (-2 - -9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-30) - (-992)\/(-192)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -898 - 6*c - 875 + 2671 - 908.\nAnswer: -6*c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 54 - 26 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.13 + -37.13. Which is the fifth smallest value? (a) 1\/6 (b) -0.1 (c) 5 (d) -4\/7 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 737, 2346, 4819, 8156, 12357?\nAnswer: 17422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56147824 smaller than 56147827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 32, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - f**2 - f + 1. Let v be d(0). Let y = v - -17. Suppose -j + 3*n - 3 = 0, 2*j + 2*n = 6*j - y. Solve b - j*b = 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/5 - c**4 - 2*c**3\/5 + 42*c**2\/5 - 63*c\/5 + 27\/5 = 0?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/975 and -24\/65?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmjmkkkmhbcmkjk. Give prob of sequence jbm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*5*sqrt(110)\/sqrt(2))\/(sqrt(500)\/sqrt(4)*6*-6).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 9 = -d - 3*s, 5*d - 2*s = -104. Let y = 12 - d. Suppose -7 = x + 5*t - 25, 0 = 2*t. What is the remainder when y is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 453, 693, 931, 1161, 1377, 1573?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 4:21 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a - 1. Let y be j(-1). Find the third derivative of d**y + d**2 + 6*d**4 + 4*d**4 wrt d.\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2274128, 4548269, 6822432, 9096617?\nAnswer: 11370824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.436 * 1603\nAnswer: 698.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(128) - (sqrt(128) - (sqrt(128) - (2 + sqrt(128)))))**2 - sqrt(2)).\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**6 + 3*s**5 - 2*s**2 + 29*s + 3. Let n(z) = z**6 + z**5 - z**2 + 1. Let j(u) = f(u) - 3*n(u). Find the third derivative of j(y) wrt y.\nAnswer: -1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -43. Suppose -l*h + 6 = 2. Solve h*p = 4*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-28) + 92920\/51520?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 452 + -450. Suppose 4*t - 5*u - 28 = 0, 4*t + 3*u = -t - f. Solve 4*h + 13 = 7*h + 5*p, t*p = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24*9.816\nAnswer: -2.35584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -93 and -8.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-129)\/(-8) + ((-7)\/8)\/7. Let b(m) = 11*m - 171. Let n be b(t). Solve 4*k - 5 = n*l, 5*l + 30 = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/21496857 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1397, 1401, 1405, 1409?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/4 - (-2)\/(-8). Suppose 0 = -j*g + 3*g. Let a(x) = -x**2 - x + 8. Give a(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259\/4 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c + 54 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -799798 and 4.6186.\nAnswer: -799793.3814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2012 = 2032 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**5\/15 - 4*w**4\/3 - 8*w**3 + 15*w**2 + 5. Let u(q) be the second derivative of z(q). Factor u(d).\nAnswer: -4*(d + 2)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(2 + 11)*-1. Let a(p) = -25 - 23*p - h - p**2 + 4. Is a(-18) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d. Let w(z) = -24 + 24 - 2*z - 11*z. Give w(b(o)).\nAnswer: 91*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*a = 10 + 13, 2*a + 31 = l. Suppose 0 = -4*t - 3*h + 177, -138 = -3*t - h + 4*h. Calculate the smallest common multiple of l and t.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286.64 + -272380258?\nAnswer: -272377971.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5 - 45844*a**4 - 48665984*a**3 - 13491209360*a**2 + 54550296576*a - 54745694208 = 0.\nAnswer: -10313, -576, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 9\/1645 (b) -119 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 18*j**2 + 15*j + 3. Is 15 a factor of m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -35. Let k(y) = 180*y - t*y - 79*y. Let l(d) = 5*d**2. What is k(l(x))?\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d + 117. Let p(o) = 3*o - 59. Determine 6*h(w) + 13*p(w).\nAnswer: 3*w - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 112 - 72 + 0*l**2 - 40 + 5*l**2. Let z(u) = 1160*u. Determine j(z(r)).\nAnswer: 6728000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 213 = -6*y. What is the highest common factor of 81 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 21*j**2 + 86*j - 18. What is the hundreds digit of s(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-2 + 0) - (79 - (96 - 14))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - (-2 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 126\/(-35)*(-5)\/2. Solve -5*z - x = 4*d - d, 2*z + 5*d - 4 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 45\/11 (c) -5 (d) -36 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17741436671 to the nearest one million.\nAnswer: -17741000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410879 is divided by 4199.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 39, -0.3, 1\/2, -102?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let j(u) = -14*u. Let m(v) = -12*f(v) + j(v). Let w(h) = 3*h**2 - 1. Calculate m(w(g)).\nAnswer: -6*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 3*s**3 + 15*s**2\/2 - 17*s - 8. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2177.8 + 404570\nAnswer: 406747.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z - 1565 = 28*z + 79 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13*h**2 + 4*h - 4. Suppose 0 = -7*l + l - 78. Let x(m) = 78*m**2 - 26*m + 26. Let a(k) = l*t(k) - 2*x(k). Let f(p) = -27*p**2. What is f(a(w))?\nAnswer: -4563*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t**2*((t*((t\/t**(4\/3)*t*t)\/t)\/t*t)\/t)\/((t*t\/t**(-1\/6))\/t))\/((t**(2\/5))**(-19)\/(t**5*t*t\/t**(-1\/5))) assuming t is positive.\nAnswer: t**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**5\/60 + 5*k**4\/12 + k**3\/6 + k**2. List the prime factors of a(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5 + 3. Let c(g) = -g**2 - 3*g + 1. Calculate c(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288649411.\nAnswer: 43, 1109, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 7*n**2 + (-5*n + 6 - 6)*(-3*n + 2*n + 2*n) + n**2 - 3*n + 2*n + 2*n.\nAnswer: 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 215\/4 = 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 1)*(-18939 + 18957)?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 6) to base 9\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4459, -17836, -40129, -71344, -111487?\nAnswer: -160564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a factor of 481259100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (37 + -37 + 35)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**3)*z\/z**(-6))\/(z**(-5\/2)*z*z\/z**(-3)) assuming z is positive.\nAnswer: z**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50176, 100382, 150588?\nAnswer: 200794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 3*m**3 + 0*m**2)*(-4*m - 12*m - 4*m).\nAnswer: -60*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -681 + 683. Solve -f = -q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5402 (b) -6 (c) -15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111164420 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 9*s**2 + 21*s + 14. What is g(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**6\/90 - 11*q**5\/20 + 197*q**4\/36 - 133*q**3\/6 + 39*q**2 - 1134*q. Solve d(u) = 0 for u.\nAnswer: 1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*d**4 + 3\/5*d**3 - 3\/5*d + 0 - 1\/5*d**2.\nAnswer: d*(d - 1)*(d + 1)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25398045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39599294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9583.014 centuries in years?\nAnswer: 958301.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -1, -2, -7\/3, -4\/3, 15.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:41 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 28. What is b(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 q when four letters picked without replacement from qdqkaqkqdk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11321301 - -11?\nAnswer: 11321312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 45071\/3490?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z - 5. Suppose 0 = 5*o + 8 + 12. What is the units digit of h(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**4 + 723*s**3 - 18*s**2 - 7*s + 2. Let y(t) = -181*t**3 + 4*t**2 + 2*t. Let f(h) = 2*a(h) + 9*y(h). Find the second derivative of f(c) wrt c.\nAnswer: -24*c**2 - 1098*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m. Let a(l) = -l + 2. Let u(s) = 5 + s - s - 3*s. Let o(r) = 5*a(r) - 2*u(r). Determine o(j(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5001, -10010, -15009, -19992, -24953, -29886?\nAnswer: -34785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*p - 6 - p**3 - 2 + 76*p as k*p**3 + n*p + r*p**2 + g and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 44*l**2 + 251*l - 112. Is o(-37) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 162 - 2*j - 46 - 108. Give t(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 298 - 2?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 105 = -2*k, -11045*v = -3*k - 11046*v - 34 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 162*s**2 + 8*s + 6. Let x be y(7). What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/2 - -2)*(-93)\/2. Suppose 5*l + 512 = -o, 2*o = 3*l + 209 + k. Let z = -100 - l. Solve -3*b - 1 = -z*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 - -5. Let n = 18 - 18.45. Let u = n + 0.05. Put u, h, 0.1 in ascending order.\nAnswer: u, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(6\/8*(-1034)\/33).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -1\/18?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u + 7. Calculate h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423677, -847349, -1271021?\nAnswer: -1694693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -1. Let r = 8.4 + -9. Let u = r - q. Put u, -1, 3 in descending order.\nAnswer: 3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -45*m + 119. Let s(n) = -n**2 - 4*n + 550. Determine s(t(d)).\nAnswer: -2025*d**2 + 10890*d - 14087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 20. Suppose -3*y + 21 = i - 24, -5*i + v*y + 265 = 0. Let t = 85 - i. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4 + 189\/2. Suppose 0*b = 3*b - q. Suppose 0 = 5*i + 25, -3*i + 70 = 4*c - b. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1063305585 to the nearest integer?\nAnswer: 32608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.62 and -0.04.\nAnswer: -0.5448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -28062, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-45)*(-18)\/(-4). What is the hundreds digit of (-1)\/n*303*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*o = -29, 2*v - 3*o - 1 = -6. Let q be (-13)\/(-3) - v\/(-21). Let j be q\/(-6) - 1\/3. Which is the smallest value? (a) j (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-34868)\/1334 + 2?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 406*g**3*z + 26068139*g**3 - 12*g**2*z + 2*g**2 + g*z + 11*z wrt z.\nAnswer: 406*g**3 - 12*g**2 + g + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-1569)\/1563 + 1). Calculate the common denominator of v\/60 - 24\/(-60) and -119\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 - 1043*b**2 - 6177*b + 1. Give k(-6).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 13*y**2 + y + 16. Let f be m(-13). Let o = f + -1. Solve o*g + 3*g - 8 = -3*i, 0 = 5*g + 5*i - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 84279791, 84279800, 84279809, 84279818, 84279827, 84279836?\n\"Answer: 9*d + 84279782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, o: 3}. What is prob of sequence oioo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9283061 and -2.\nAnswer: -18566122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -41 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose 0 = -k*t - t - 27. Let z = t - -7. What is the second smallest value in z, 0.1, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720) + 4)**2.\nAnswer: 96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(1 - 0) + 0. Let o(t) = -t**3 + 3*t**2 + 36*t - 75. Let v be o(2). Sort 5, 7, f, v.\nAnswer: f, v, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-24) - -6 - (-2)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 5. Let b be (v\/2)\/(3\/(-8)). Suppose -b*w - 22 = -3*q + 8, -q + 9 = -w. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -24. Let s = w - 2. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13777.3 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**2*c**2 - b**2*c + 8*b*c - 32*c**2 + 4 wrt b.\nAnswer: -10*b*c**2 - 2*b*c + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 13, 22, 31, 40?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43661 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-980)\/42 - (-504)\/180*(-5)\/(-6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 570, 1180, 1786, 2388, 2986, 3580, 4170?\nAnswer: 4756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 911 and 1965027.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 5*n + 1. Let r be k(6). Let q(y) = 2*y**2 + 7*y - 2. Let s be q(r). Is 2\/(-1) - (-16 - s) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i + 3*x - 37, 3*i = -2*x - 11. Let q be (-15)\/(-5) + 15\/(-1). Let y = i - q. Calculate the greatest common factor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(48)\/sqrt(4) + 4)**2 - (-1 + sqrt(300))).\nAnswer: 12*sqrt(3) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1266, -2294, -3378, -4518, -5714?\nAnswer: -6966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-14) - (-85)\/(-14) and -54\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 480. Let w = v - -443.98. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/2)*c**(3\/2))\/(c**(4\/5)*c**(4\/3)) assuming c is positive.\nAnswer: c**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.081 - 0.08100097. Round w to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970810319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 26. Let o be s(15). Let z be (-4)\/16 + o\/((-1216)\/84). Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -g - 3*a, 2*g + 69 = -g + a. Sort 5, g, 2 in ascending order.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*d**3 + 18 - 15.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66529822 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 4*g**2 - 1. Let m(p) = -p. Let r(b) = -10*b. Let o(h) = -22*m(h) + 2*r(h). Determine o(l(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/10, 17.\nAnswer: -1\/10, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.40734 - 2.41. What is h rounded to 4 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 790 = 95. Does 32 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 43, 1, 5, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3010 and 59850.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**2 + 64*k + 129. Determine y(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1745*f + 4. Let o(h) = 109938*h - 251. Determine -4*o(n) - 251*u(n).\nAnswer: -1757*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-20))\/((-4)\/(128\/(-3))))\/((-66882)\/(-2006460)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(-5 + ((sqrt(190) + (2*sqrt(190)*-2 - sqrt(190)))\/(sqrt(40)\/sqrt(4)*-5 + sqrt(10)))**2).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -66*g - 4406. Determine x(-67).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.08 - -5.0800009. Round m to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/6)\/((-2)\/(-4)). Let s(m) = -m**3 + 5*m**2 + m - 5. Let u be s(i). Suppose -2*d + 0*d = u. Is d < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 6*k**2 + 2*k. Let d be 18*(-2 + 21\/9). What is the units digit of q(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 341*8\/2232 - (-28)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 151\nAnswer: 4\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/17052 and 163\/2160.\nAnswer: 3069360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + 34. Suppose 140*i - v*i = 0. What is the nearest to i in 0.3, -18, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34661 plus -3?\nAnswer: 34658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j - 1. Let m be b(0). Let t be (-11)\/66 + (-1730)\/(-12). Let w = t + -2158\/15. Is m at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 234, -5, -2140, 0 in ascending order.\nAnswer: -2140, -5, 0, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1448 + -0.0552. What is the smallest value in -4, 0.5, p, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 11*o - 16. What is the remainder when r(8) is divided by ((-6)\/(-15))\/((-5)\/(-25))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b + 6, -b = -3*k + 11. Suppose -y = k*j - 0*j + 1, -3*j = 3. Let p(h) = -y*h - 2*h + 2*h. Let g(d) = -2*d**2. Calculate p(g(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.182 and 55?\nAnswer: 54.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -406*p**3 - p**2 + 2*p + 2. Let v(x) = -1626*x**3 - 4*x**2 + 9*x + 8. Let m(h) = 9*o(h) - 2*v(h). Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, -0.1, -3\/13, -19, 25 in descending order.\nAnswer: 25, 0.2, -0.1, -3\/13, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**6\/120 - 3*x**5\/10 - 3*x**4\/4 + 4*x**3\/3 + 5*x**2. Is 24 a factor of z(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34116, 67886, 101654, 135420, 169184?\nAnswer: 202946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 8*w**3 - 2*w**3 + w + 0*w**3 in the form k*w**3 + v + x*w + g*w**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 601115429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 5 + (-5 - -2) - (5 + -15).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3323.8 * 37\nAnswer: 122980.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64076.06 weeks to minutes.\nAnswer: 645886684.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7545692kg in micrograms?\nAnswer: 754569200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (12\/33)\/(16\/(-1672)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, -716, -5 in decreasing order.\nAnswer: 1, -5, -12, -716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and -708571054168.\nAnswer: -708571054168.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 13*s + 11. Give z(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071334 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1677 + 1152. Let s = -459 - b. Calculate the highest common factor of s and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13430505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (2 - (19 - 10)) - -12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1573*r - 110845 - 24020 = -1424*r for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1709881 - 0.171. What is i rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1036490 * -1.8.\nAnswer: 1865682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**1)\/r*r*r\/r**(-37)*(r*r**20*r)\/(r*r\/(r*r**22)))**17 assuming r is positive.\nAnswer: r**1394","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 121991940.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -50034 (base 6) to base 4\nAnswer: -1211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 829179467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 586 - 586 + 66*p**2 - 186*p**2 to k*p**2 + g + u*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 49*t**2 - 3*t**3 - 13*t**2 - 20*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*b = -5*b + 320, 3*h - b - 1024 = 0. Let x = h + -335. Solve p + 3*o + 1 = -2*o, 0 = x*p + 2*o - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9.446 (b) -25 (c) 5 (d) -2\/15 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 387976051 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -568 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.7 minus -2802.6?\nAnswer: 2929.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 378?\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 16*h**3 - 6*h**2 - 10*h - 218. Let l(a) = 5*a**3 - 2*a**2 - 3*a - 72. What is 10*l(j) - 3*x(j)?\nAnswer: 2*j**3 - 2*j**2 - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/10)\/(1\/(-30)). Let t be (46 - -4) + 190\/19. What is the greatest common divisor of t and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -b + 15. Suppose -380 = 2*c + 700. Let q be (3 + -2)\/((-6)\/c). Calculate the greatest common factor of q and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 6*b**2 - 4*b + 5. Calculate h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/27 and (-1404)\/(-1215)*1\/(-4).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 14\/664147?\nAnswer: 14\/664147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -74*z + 259*z - 185*z + 5*z**2 - 6. Let u(m) = -9*m**2 + 11. Suppose -3*a - 27 = 3*p, a + 10 = -3*p - 11. Determine p*u(f) - 11*v(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18105 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = 0, 3*n + 19 = 2*m - m. Let h be (-56)\/(-35) - 747\/45*1. What is the hundreds digit of -1*m\/20 + (-3033)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 3*h + 27, 22 = 13*r - 15*r - 3*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a - 41*a - 45*a - 43*a + 326*a**2.\nAnswer: 326*a**2 - 107*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqkpqqquqqukquuqcq. Give prob of sequence cqk.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5139573 centuries?\nAnswer: 5.139573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, o: 2, j: 1}. What is prob of picking 1 j and 2 i?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859 + 1028 = -5*j + 3*s, -3 = -s for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 57 = -3*o, -25 = -v + 5*o. Suppose -2*y = -4*s + v - 86, 0 = y + 4*s - 4. Let h = y + -4. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/364 and -179\/390.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 57039?\nAnswer: -2\/57039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {f: 2, h: 9, b: 7}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03026 rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2994, 5989, 8982, 11973?\nAnswer: 14962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a65b4 (base 12) in base 4?\nAnswer: -2232313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787473857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2 - 22*y + 11. Calculate i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12605c - -385?\nAnswer: 126403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - z - 3. Suppose 2*a + 5*o + 6 = 0, 3*o = 2*a + 1 + 5. Let y be s(a). Let j be 8\/36 - (-76)\/y. Sort 5, j, 0 in decreasing order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + (sqrt(2736) + 1 - sqrt(2736)))**2 + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142326 + 336816 + 197510 = 32*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 4*v - 5. Suppose -3*t + 3 = -o - 9, 3*t + 2*o = 3. Let x be k(t). Let b(g) = -x*g**2 + 16*g**2 - 18*g**2. Let h(c) = -2*c. What is b(h(i))?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -639 times 4\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 + 0 = -5*y. What is the remainder when 39 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 493, 1114, 1983, 3100, 4465?\nAnswer: 6078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 1. Let z(t) = t**3 + 19*t**2 + 2*t + 45. Suppose -6*m - 120 = -6. Let k be z(m). Let x = -1 + 6. Let b(c) = 6*c + 1. What is k*q(d) + x*b(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 + 177. Let m(o) = 57*o - d + 54*o - 112*o. Calculate m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**5 + 21*h**3 + 40*h**2 + 67*h - 53 wrt h?\nAnswer: -60*h**3 + 126*h + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 496.326?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.1 (b) -3\/2 (c) -8.8 (d) 106 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/140*16\/(-1286). Let d = f + -64322\/35365. Are d and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/19 (b) -2\/45 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oookbbbodaoeoaaa. What is prob of picking 1 e, 1 a, and 1 k?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5922 and 6.\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6670 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19065 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)*j*j**(-2\/19)\/j)\/(j**(-1))**(4\/27))**49 assuming j is positive.\nAnswer: j**(-225155\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 3:22 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let g(b) = -5*b + 2*b + 2 + 0. What is the least common multiple of 8 and g(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1603*f - 5712 = 22902 + 35506 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/1)\/(3\/3). Let x be 0 - (i + 3)\/(-2). Calculate the highest common divisor of x and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 3*n**3 + 3*n**4 + (-2 - n + 2)*(-320*n**3 + 626*n**3 - 408*n**3).\nAnswer: 105*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-22)\/(-88))\/(2\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1771.267621 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7346\/385 - 636\/35. Factor -8\/11*y**3 + 0 - 2\/11*y**4 - 4\/11*y - u*y**2.\nAnswer: -2*y*(y + 1)**2*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3382879 and 0.045356314?\nAnswer: 3382878.954643686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 97207.92 to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 629*u**6\/30 + 509*u**3\/6 - u. What is the second derivative of s(i) wrt i?\nAnswer: 7548*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10001010111?\nAnswer: 10001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from {x: 2, e: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-42))\/((-10)\/35 - 0). Solve 2*y + 17 = 3*u + y, -y - 12 = -n*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from ubliuqc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 265, -1.1, -5, 0.3 in decreasing order.\nAnswer: 265, 0.3, -1.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 289, 450, 621?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1300))*-2.\nAnswer: -20*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*c**2 - 6228*a**3*c**2 + 18*a**2*c**2 + 13*a**2 - 2 wrt a?\nAnswer: -24*a*c**2 - 37368*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*q - 4*q = -139, 5*h + 3*q = 232. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15664 and 152735?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3))**29*d\/(d**(-6)\/d)*d**(-1\/15))**(-2\/181) assuming d is positive.\nAnswer: d**(-176\/905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 44*f + 3. Let j(x) = 118*x + 8. Let u(m) = -3*j(m) + 8*k(m). Let c(n) = -172*n**2. Calculate c(u(l)).\nAnswer: -688*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 446654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7730569 or -7730570?\nAnswer: -7730569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 509*j**3 + 450 - 5*j**2 + 3*j**2 - 448 + j**2 in the form y*j**2 + r*j + m*j**3 + h and give m.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Suppose -6*q + 2*d + 26 = -q, -32 = -5*q + 4*d. Let g(b) = 9*b - 2*b - q*b. Give o(g(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + ((-148616)\/(-3) - 2\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215 - -75. What is x rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/33 + -28 + 30.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128.17 - -124.17. Which is the smallest value? (a) 1 (b) -18 (c) -3 (d) 0.01 (e) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134446660 rounded to the nearest one million?\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 112, 7 in decreasing order.\nAnswer: 112, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -8, 2700 - 2670 = 2*g + 5*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*r = 105, 7*t - 2*t = -5*r - 140. Is t at most as big as -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 6. Which is greater: v or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 215*s. Let i(p) be the first derivative of -2*p**3 + 6206. Determine n(i(k)).\nAnswer: -1290*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1851094 and 175.\nAnswer: 46277350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + v = -0*v + 658, 5*w + 5*v = 815. Let d = 171 - 7. Is w smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c - 17*c - 25*c - 35*c.\nAnswer: -61*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 1976*m + 21978.\nAnswer: -2*(m - 999)*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, z: 2, c: 1, d: 1, a: 2}. Give prob of picking 1 m, 1 z, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/24)\/(15\/(-3))*576\/16.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooooroooooo. What is prob of sequence ooo?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14303.28503 rounded to the nearest one hundred?\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, -21 in decreasing order.\nAnswer: 4, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/2 + 2 + 590. Suppose f = -m - m - 293, 4*m + 5*f = -t. Let i = -93 - m. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(68)*4 + sqrt(68))*3 + -1 + -5)*3*-5)**2.\nAnswer: -405000*sqrt(17) + 17253000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 8*l - 16. Give d(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*h - 1474*h - 10121 - 163 = 67556 for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/6*2 - (-10 - -2). Find the second derivative of 19*y + 0*y**j - y - y**5 - 3*y wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1269060663\/578584 + -6507\/4666. Let t = v - 2192. Let p = t + -617\/744. Calculate the common denominator of p and -37\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/27)*j)\/(j**(2\/15)\/j*j))\/(j**(-17)*j)**(-13))**(2\/47) assuming j is positive.\nAnswer: j**(-55636\/6345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/19 + (1 - 0). Let r = a - -3\/38. Calculate the common denominator of r and (48\/(-100))\/((-46)\/(-115)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*w = -4*h + 29, -4*w = h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.630305l to millilitres.\nAnswer: 5630.305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 14*t**2 + 13*t + 12. Let b be g(-13). What are the prime factors of (-4)\/b + (-25)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7903 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 546.4 + -546.6. What is the smallest value in -4, m, -18387?\nAnswer: -18387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2633, -5581, -8841, -12413, -16297, -20493, -25001?\n\"Answer: -156*l**2 - 2480*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + -81 - ((-2 - -3) + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3838 - 2*r + 1918 + 1917 - 111*r**2 - 22*r**2 as g + s*r + t*r**2 and give t.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iad when three letters picked without replacement from aapppdadaiai?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-6)\/(-6)*(0 + 74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 61167, 11 in descending order.\nAnswer: 61167, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -20. Let k be (f - 61)*(4 - 7). Let m = -312 + k. Round m to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -234*i + 7958. Let w be a(34). Solve 3\/2*v + 1 + 1\/2*v**w = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h + 2*h - 660. Suppose 0*m = 15*m - h. Solve m*o = -s - 11, -s + 5 = -0*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -91, 2, -4\/7?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -j - x + 8, 2*x - 4 = 0. Calculate the remainder when j is divided by (-319)\/(410\/(-20) + 15) + 0\/(-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 8*d**2 + 5*d - 12. Let r be x(-7). Let u(w) = 28*w**2 + 20*w**r - 43*w**2. Let p(t) = t - 2*t**2 - t. What is u(p(a))?\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o + 2*o**2 - 5*o + 11*o + 2*o to r*o**2 + a*o + g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 38*j - 29. Let x(p) = -21*p. Let g(k) = 2*x(k) + z(k). Give g(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 12 + (-131 - (-47 - 53))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(1\/2)*n**9*n**4\/n**9 assuming n is positive.\nAnswer: n**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - r + 6. Suppose 5*z = -12 + 2. Let c = -2 - z. Is m(c) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8) + -5 + 8 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/19 - 17770*b**2\/19 - 39480496*b\/19 - 39462728\/19 = 0 for b.\nAnswer: -4442, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-3)\/(-3)) + -2 - -19. Calculate the highest common divisor of g and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let v(h) = 66*h + 1. Let y(g) = -6*d(g) + 2*v(g). Let f be y(1). Let c = 293 - f. What is the highest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 25*v. Let z(j) = -7*j + 3*j**2 + 12*j - 5*j. Give z(c(x)).\nAnswer: 1875*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 10:20 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 + 3*m**3 - 220*m**2 + 436*m**2 - 227*m**2 as v*m + y + k*m**2 + a*m**3 and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15602470 is divided by 3945?\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + n + 2. Let g(w) = 1364*w**2 - 220*w - 440. What is 2*g(v) + 440*s(v)?\nAnswer: 1848*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -1\/15*i**6 + 0 - 113*i**2 + 65\/24*i**4 + 0*i**3 + 0*i - 1\/60*i**5. Find the second derivative of f(o) wrt o.\nAnswer: -48*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 165*c - 694. Give z(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5 = -v - 5*h, 5 = 5*v - 5*h. Let p = 501 - 238. Suppose v*m = -m + p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 11*x**2 + x - 9. Let u be f(11). Suppose -d = -0 + u. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1.85.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*n**2 - 48*n**2 - 71*n**2 + 2*n**3 + 340 + 30.\nAnswer: 2*n**3 + 370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 25\/3, -3\/7, -0.0018, -40?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9744\/(-76560)*2\/(-7)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/76869 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, k: 2, j: 2, d: 1}. Give prob of sequence jq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402906 by -2534.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j + 414601 - 1113301 = 11*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -0.02508274\nAnswer: 0.35115836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 2 + 8 - 6.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.843 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7596685 is divided by 422038.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4*(-372)\/(-144) + 11)*(-6)\/(-4). Is q less than or equal to -2\/13063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 + -173. Is 1\/2 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*i + 26 = 0, 17 = 5*o + 5*i - 23. Suppose o*z + 2 + 13 = 0. Let p = z + 5. Solve p*k - k + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6931*g - 343. Is y(-1) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47, -76, -93, -92, -67, -12, 79?\n\"Answer: s**3 - 36*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 669 + -668.9. What is the nearest to o in 0.065, -0.5, 4?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**6\/60 + a**5\/5 + a**4\/6 + 4*a**3\/3 + 11*a**2 + 14*a. Calculate t(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*z + 12 = -0*z, 5*z + 22 = 2*f. Solve 0 = -j - j + f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -321*w**4\/2 + 2*w**3\/3 + 10840*w + 275. What is the derivative of h(n) wrt n?\nAnswer: -1926*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 18. Suppose 0 = t - 68 + 48. Calculate the remainder when t is divided by q(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 20. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 - 4*j - 3. Suppose -12 = 2*u - 18. Let q(l) = u*l**2 - 7*l**2 + 4 + 11*l**2 + 5*l. Suppose 2*p + 8*p + 28 = 3*p. Calculate p*r(i) - 3*q(i).\nAnswer: 3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 47 - 33 + 34)*(-u**5 - u**5 + 3*u**5).\nAnswer: 65*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -494425*r**2 - 17*r + 184020799?\nAnswer: -988850*r - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 1\/233, 10\/9, -2?\nAnswer: 1\/233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -59. Let u = -1.1 + 1.8. Is v smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204456, 204698, 204940, 205182, 205424, 205666?\nAnswer: 205908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36337 and 16453353.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -378 (b) 1\/5 (c) 2\/21 (d) -1341 (e) 5 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -9. Solve q*d + 2*d + 11 = -4*n, 5*d + n = -14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let s(o) = -372662*o**2 + 2. Determine f(s(w)).\nAnswer: -372662*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**3 + 431657*v**2 + 748393 wrt v.\nAnswer: -6*v**2 + 863314*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/18*(-1)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 318 in -0.2, 312, -4.24, 2?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 9*b - 12. Let g be n(-11). Suppose -5*h - 3*t + 19 = -g, 0 = -5*t + 15. Solve 5*w + 29 = -h*l + 3, 0 = 3*w + l + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -2. Let t = n - -10. Solve 0*z - 12 = t*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33086920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98682016259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.798 + 3.57. What is b rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z**3 - 31*z**2 + 13*z + 120. Does 9 divide j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*q + 28806, -3*q + 13549 = 5*b - 22456. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 746, 4879, 16066, 37823, 73666?\n\"Answer: 586*z**3 + 11*z**2 - 2*z + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 134?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/4 + 819*t**3\/4 - 1590*t**2.\nAnswer: -3*t**2*(t - 265)*(t - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213 by 113525.\nAnswer: 213\/113525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3483*v**4 - 6975*v**3 + 4662*v**2 - 1044*v + 8\/3.\nAnswer: (3*v - 2)**3*(387*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(5\/9)\/o))\/o**14 assuming o is positive.\nAnswer: o**(-122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.16\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(468)\/sqrt(4) - sqrt(13))**2 - sqrt(13) - sqrt(13)).\nAnswer: -10*sqrt(13) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (-3 + sqrt(605)*2)) + -5)*5 - ((6*sqrt(35)*1)\/(-3*-2*sqrt(7))*5)**2.\nAnswer: -135 - 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -2*y**5\/5 - y**4 + 2*y**2 + 32*y. Find f such that p(f) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/176*28\/770. Let v = k + -6059\/1452. What is the common denominator of -49\/2 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/144*8*(-60)\/10?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from ooaga?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476434 and 12838.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.046 + -0.002. Let v = 0.044275 - x. Round v to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 570 = f + 522, 5*x + 4*f + 97 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211431221 (base 6) to base 7.\nAnswer: -43425511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-6)\/90*(-9)\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*v**2 - 14086*v + 7064*v + 7042*v to a + k*v + f*v**2 and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 79*p + 9316. Determine w(-118).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/25)\/(8\/(160\/12))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 5. Let w be 114\/22 + 4\/(-22). Let b = w - -2. List the prime factors of l(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 23*z - 6*z. Solve 5*p + z = 2*o + p, 3*o + 2*p = 10 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 820. Let c = s - 58. Suppose c = g + 16. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18272756?\nAnswer: 2, 17, 19, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8)*(7 + -3). What is the common denominator of -47\/21 and (m + 1 - 212\/(-96))*1?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195563 and 1614?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.131961428 and 9982.5.\nAnswer: 9982.368038572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d**2 + 48*d**2 + 46*d**2 + 48*d**2 - 144*d**2 - 39*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*r + 2*r, -5*r + 34 = w. Let o be w\/(-35) + (-17)\/(-5). Suppose 0 = o*y - y - 108. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4\/9 - 68*f**3\/9 - 580*f**2\/9 + 644*f\/9.\nAnswer: 4*f*(f - 23)*(f - 1)*(f + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 6, 3, 0, -3, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23875437?\nAnswer: 3, 883, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l - 3731 = -70*l. What is the remainder when 128 is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.65549?\nAnswer: 1.96647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 16 = 2*v + 52, -52 = -11*p + v. Solve 0*w + p*b + 8 = -4*w, -4*b = -2*w + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = -25. Suppose -20 = 4*n + 4*t, -3*t - w = 2*t. What is the closest to -5 in -2, 2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (27 + 279)*28\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18508703, -37017398, -55526093, -74034788, -92543483, -111052178?\n\"Answer: -18508695*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 46*x - 51*x + 2*x**3 + 195*x - 44*x + 1 - 52*x. Let j(c) = -c**3 - 3*c**2 - 3*c - 1. Give 2*j(z) + 3*n(z).\nAnswer: 4*z**3 + 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Let c = -2 - -4. What is the least common multiple of (-52)\/(-5) - u\/10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejn when three letters picked without replacement from {n: 1, j: 5, b: 1, e: 1, t: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*u**3 + 3*u**2 + 5 + 18*u**3 - 2*u**2 to the form m*u + i*u**2 + f + k*u**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7597728 divided by -72.\nAnswer: 105524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t - 3. Let o(g) = 35*g - 7. What is -6*o(m) + 14*w(m)?\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3271027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 24 - 1 = 0, -2*c = -5*r + 19705. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578 = -463*c - 3126. Put -2, c, 4, 44 in increasing order.\nAnswer: c, -2, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1103 divide 38671180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 10) + (-19 - -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 797996 and 8156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-1) - 3 - -74. Let i = 9 + z. List the prime factors of i.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16822 is divided by 8393.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 36*p**2 + 37*p - 305. Does 100 divide t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10100101000110001111?\nAnswer: 10100101000110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/150 - 11*h**4\/90 - 26*h**3\/45 - 16*h**2\/15 + 320*h. Suppose k(u) = 0. Calculate u.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 2. Let v(t) = -90*t - 57. Let n(r) = -18*l(r) - v(r). Is n(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137497518 and 738.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -18. Let m(q) = q**3 - 5*q**2 - 7*q + 8. Let a be m(z). Suppose -20 = -4*t + 4*s, 6*t - a*s = 2*t + 10. Solve t + 2 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 at most as big as 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4319*r**3 - 5*r**2 + 4366*r**3 + 358 - 2*r - 356 as p*r + c*r**3 + v + j*r**2 and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-25) + 9157\/(-920). Let b be 988*(-5)\/(1 + 229). Let z = b - f. Find the common denominator of 97\/36 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10855*w + 252. Let v(a) = -217098*a - 4998. What is -119*p(n) - 6*v(n)?\nAnswer: 10843*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1. Let s be a(1). Let j = s - -3. Calculate the smallest common multiple of j and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 22*n + 83. Let i be b(-4). Let p(z) = z**3 + 7*z**2 + 4*z + 30. Let m be p(i). Calculate the greatest common factor of 300 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + o = 0, -2*j + 5*o - 28 = j. Let m = j - -12. Let p = 13 - m. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2*b - 11. Suppose -3*o + 2*o = 3. Calculate the remainder when f(6) is divided by (-34)\/(-6) + 2\/o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 502.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 14*a**3\/3 + 3*a**2 - 6*a + 12. Let q(l) = -l + 1. Let w(m) = 2*p(m) + 12*q(m). Let z(g) = 2*g**2. Calculate w(z(o)).\nAnswer: 112*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6064729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 less than 10490165795?\nAnswer: 10490165968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 649299133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17+153.7\nAnswer: 170.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 - -127. Suppose 0 = -4*c + 2*i + 34 + 184, -3*c - 5*i + 170 = 0. Let d = y + c. Put -9, -5, d, -1 in descending order.\nAnswer: d, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*w + 2*v, w + 0*w = 4*v - 3. Solve -28 = -w*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**12\/f**(-1\/13) assuming f is positive.\nAnswer: f**(157\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 31*q**2 + 2*q - 79. Does 73 divide s(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-118)\/(-220) - (-334)\/(-9185)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53\/2 + -107\/4. Let w be (-13)\/(-26) - 1\/2. Which is the closest to w? (a) 4 (b) -2\/15 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/((-236)\/1180)*-24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 62. Suppose 597 - 146 = 11*l. What is the third smallest value in u, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*h**4 + h**3 + h**2 + 48.\nAnswer: -3072*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.2 + -29. Let f = 240 - 238. Put f, 5, b in decreasing order.\nAnswer: 5, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, a: 7, p: 2, g: 5}. What is prob of sequence ppa?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 3, e: 4, r: 6}. What is prob of picking 3 e?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1677 and 396019.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1236)\/(-48) + 1\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 10:41 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25921 < 25919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 4 - 4 + (1 + 3 - 5)*(1 - 2*c - 1) + 4*c + 10*c - 2*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0.1 (b) -33\/2 (c) -1\/9 (d) -0.05 (e) 4 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + (308\/(-98) - 3). Sort 1, -3, f in decreasing order.\nAnswer: f, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-7) - (-8)\/(-28). Let z = 0.1 - 0. What is the third biggest value in c, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1191 at most -1223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 2\/9 (c) -9 (d) 0.2 (e) -2\/271 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from xxvxvsvxxxmvvxsx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 8 - 8, 4*c + 500 = 4*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -751, -1513, -2291, -3085, -3895?\n\"Answer: -8*i**2 - 738*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5 times -42?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 7*l**2 + 4*l - 8. Let a be c(-6). Suppose 6 = b - a. Let s be (-2)\/b + (-4)\/5. Which is smaller: -5\/4 or s?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - d + 5 = 0, -3*v - 1 = -5*d - 4. Suppose -w = -0*w - v. Sort w, -0.1, -2\/3 in decreasing order.\nAnswer: w, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**3 + 26*t**3 + 2*t - 3*t + 16*t**3 + 37*t**2.\nAnswer: 56*t**3 + 37*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-14)\/(-18) + (-218)\/(-981))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**7\/3780 + u**6\/810 - u**5\/180 - 5*u**3\/3 + 3. Let h(x) be the third derivative of o(x). Factor h(f).\nAnswer: 2*f*(f - 1)*(f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14787 times -5579\nAnswer: -82496673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -806.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501 is divided by 1427.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4503 - -4554. Is v <= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 4. Let j be l(8). Let x = j + 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4423 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3384642929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 3*m**2 + 9*m - 225. Let g(q) = 9*q + 14. Suppose 0 = -9*h + 21 + 24. What is h*g(a) - 8*f(a)?\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2, -2\/7, -15, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1\/18 (c) 0.073\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-168) - 1 - (-374)\/12?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18*s - 135 = 0. What are the prime factors of ((-12)\/s)\/((-14)\/1113)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7685 and 1166?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000011010 (base 2) in base 8?\nAnswer: 11032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)*z*(z*z**(-17)*z)\/z)**(-1\/40) assuming z is positive.\nAnswer: z**(109\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29531?\nAnswer: 29531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1175 divided by 17.\nAnswer: -1175\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**2 - 17 + 2*v**2 + 21 to the form l*v + d*v**2 + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.2, 5463?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10672, -9862, -9052, -8242, -7432?\n\"Answer: 810*v - 11482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 + 0 = 0, -4*d + 4 = 5*g. Suppose b + 3 + 2 = g. Let l(z) = 2*z**3 - 48*z**2 + 2*z - 43. Let s be l(24). Sort 4, s, b.\nAnswer: b, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 - -1001010011001100?\nAnswer: 1001010010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 60. Let k = n - -15. Suppose 7*z = -k + 1. Let d(w) = w**2 - 1. Give d(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5543*t**3 + 253*t. Let s(x) = -44*x**3 + 2*x. Calculate -6*j(h) + 759*s(h).\nAnswer: -138*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 3*u**3 - 8 - 8)*(-8*u - 2*u - 4*u).\nAnswer: -14*u**4 + 224*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 323565800 to the nearest one hundred thousand.\nAnswer: 323600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*r**3 + 228*r**2 - 50*r**3 + 155*r**3 - 49*r**3 + 654*r.\nAnswer: -2*r**3 + 228*r**2 + 654*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*6*-12. Let t = h + 63. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 9. Let m = o - -5. Calculate the remainder when 52 is divided by (3 - 4)\/(m\/54).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (11 - 4 - (-2 - -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, 4, 2, -3, -1, 16, 29.\nAnswer: -115, -3, -1, 2, 4, 16, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*a = -298*a - 3410 + 25300 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*i + 32 - 11, -5*i + 4*h + 27 = 0. Let l(c) = 1 - 3*c - 4 + i. Let g(o) = o**2 - o**2 + 2*o**2 - 3*o**2. What is g(l(q))?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315808431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-42 - -17)) + 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180243 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 - -12) - (-5 + -4 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 3 - (-65702)\/19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 0.3051.\nAnswer: -0.1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 33*i + 93. Let j be o(30). Let b be (-66)\/(-14) + 28\/98. Solve j*c - 4*c = -3*u + 12, -5*c - 30 = -b*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5130 divided by 5\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 + 67. Let c be s(-8). Calculate the common denominator of c\/36 - (18 - 24) and 89\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22116794801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1062 + -24424\/23. Which is the nearest to 0? (a) 0.2 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93055748 divided by -2?\nAnswer: 46527874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 n, and 1 j when four letters picked without replacement from {d: 5, b: 6, n: 1, j: 5}?\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**2 - 30*y - 42. Let s = -235 - -238. Let m(r) = -r**2 + 1. Let l(j) = s*m(j) - v(j). Find i such that l(i) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**13\/(z*z**14\/z)*(z*z**29*z)**(-42) assuming z is positive.\nAnswer: z**(-1303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obo when three letters picked without replacement from {b: 3, n: 3, o: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/25*2\/8*-2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -8*j + 37, 0 = -207*j + 205*j + 2*a + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l - 6. Let m(r) = 7*r + 5. Let a(z) = -6*m(z) - 5*u(z). Let f(k) = 14*k. What is a(f(o))?\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -50. Sort 11, l, -5 in decreasing order.\nAnswer: 11, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let p be 3\/5 - 15\/25. Suppose p*b - 15 = 3*b, -b + 27 = 2*i. Suppose 2*y - i + 5 = w, 3*y = 15. What is r(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12138 = 4*h + v, 298*v = -5*h + 303*v + 15160. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.43 - -18. What is k rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n. Let m(c) = -7*c. Let y = -424 + 420. Let h be -3 + (-24 - 0)\/y. Determine h*g(j) - 7*m(j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -1877?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.09 - 4. Let c = 3.09 - j. Let n = -5\/9 + 8\/9. What is the closest to n in c, -1\/5, -2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, o: 5}. What is prob of picking 3 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 158c6?\nAnswer: 158cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 6*f**2 + 2*f + 1. Let i(u) = u**3 + 6*u**2 - u. Let d(p) = -3*i(p) - 2*q(p). Let n be d(7). Suppose -14*x = -9*x - n. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:32 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 109, 210, 301, 376, 429, 454?\n\"Answer: -u**3 + u**2 + 105*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 6*z**2 + 8*z + 24. Let i be l(-5). Let d be 4\/(-6)*(0 - -6). Sort d, i, 4, 2.\nAnswer: d, 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2135475 and 135.\nAnswer: 6406425","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-202)\/3*(-1)\/(-2). Let r = d - -33. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 2 = 0, -414 = -3*p + 3*i. What is the least common multiple of 9 and 1240\/p + 1\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270631 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9509408ms in nanoseconds?\nAnswer: 950940.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 490692618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcssbccbnc. Give prob of picking 1 s and 1 c.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -155*l - 1850. What is s(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -10 + 25. Suppose 4*t + c = 251, -2*c + 5*c - 177 = -r*t. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - 1*sqrt(833))*4 + 2*sqrt(833) + 1 + -2)*1 + -2*1*(sqrt(833) + 5 + sqrt(833)*-2 - sqrt(833)) + -4)**2.\nAnswer: -1260*sqrt(17) + 30213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4421 - -4428. Suppose 0*k - 2*k + 10 = 0. Solve 0 = -k*a + x + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1)\/((-8 - 0)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t + 1 + 26*t - 11*t + 3 - 2. Let p be -12*1\/(-2)*1. Let y be (3 - -1)*(-9)\/p. Let v(l) = -4*l - 3. What is y*k(n) - 4*v(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i**3 - 3*i**2 - 293*i - 5. Let y(s) = 15*s**3 + 4*s**2 + 295*s + 6. What is 4*q(p) + 3*y(p)?\nAnswer: -3*p**3 - 287*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4*k - 1764, k + 2209 = 5*b + 5*k. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 18044*c + 1900968.\nAnswer: -4*(c - 4614)*(c + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-3 - 6) + (-1)\/((-1)\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2342108 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -80*((-30)\/(-25))\/(6\/(-8)). Let j be (-2 + 260\/i)\/(4\/72). Sort j, -0.1, 0.5.\nAnswer: -0.1, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/18 + (3\/2 - 2). Suppose r = -5*a - 91 - 154. Let v = 93 + a. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1671\/2 + -831. Suppose -3*j**3 + q*j**2 + 3\/4*j**4 - 3*j + 3\/4 = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 16 + (-9)\/(-3). Let b = -20 + l. Find the first derivative of -b + f**4 + 3 - 5 + 1 wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2*(15 + -13). Suppose 0 = -5*r + 2*j + 457, 5*j = -3*r - m*r + 450. Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*((-68)\/(-3))\/1. Does 17 divide ((-5)\/2)\/(6\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.01 + 0.01. Let r = 11.04 - 4.04. Which is the nearest to 0.1? (a) y (b) 1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -9352.\nAnswer: -37408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = 2*i, 0 = -3*z + 213*i - 216*i - 6. Let g = 3\/16574 + -5328547\/33148. Let f = g - -160. Is f less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2761\/60 + -46. Calculate the common denominator of -139\/60 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 107*x + 91*x + 111*x - 308*x. Let q(j) = -716*j. Give m(q(u)).\nAnswer: -716*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = -4*s - 20, 4*i + 3*s = -1. Solve 3*m = 2*v + 22, -m + i*v + 6 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 567994948*w**3 - 510892530?\nAnswer: 1703984844*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2 = 75*p - 77*p, 3*p - 9 = 4*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24411360761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2\/5 - 679728*f\/5 + 147359709\/5 = 0.\nAnswer: 217, 226359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16) - (591\/(-72) - 3)) + -10?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226 - -2036\/9. What is the closest to 5 in 0.1, -24, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - s - 58, 0*g + 4*s = -4*g - 40. What is the least common multiple of (-2)\/6 + (-172)\/g and 30\/(-9) - 714\/(-63)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 6*p + 6. Let v be m(7). Let d(i) = -2*i**2 - v - 7*i - 4 - 16*i**2 + i**3 + 3*i**2. Is d(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*c - 4, 5*c - 2*z - 5 - 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476 is divided by 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679536 is divided by 305.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 991536 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05196 + -637.15196. Round d to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 14*c - 1620. Calculate the remainder when c is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869997.5cm in kilometers?\nAnswer: 8.699975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042134 (base 5) in base 6?\nAnswer: -421340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12515*j + 12536*j = 42 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-90335)\/812)\/(((-2)\/88)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-58 + 6)) + -19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2310, 2313, 2318, 2325, 2334, 2345, 2358?\n\"Answer: m**2 + 2309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7715584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 2) + 10 - (-19 + -2 - -8).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2985106 and 2985128 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(15 + 2552\/(-174)))\/((-70)\/(-68) - 1).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -8 + 20. What is the remainder when -1 - (-4 + -4*11) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*b**(4\/3))**(2\/15)\/((b**(2\/5))**(2\/51)*b\/(b\/b**9)*b*b*b**(-3)*b) assuming b is positive.\nAnswer: b**(-74167\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhhhhhhjjhjhkkjhh. What is prob of sequence hhjj?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z = 27917586 + 1924314. What is z rounded to the nearest ten thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3000\/(-225))\/((-285)\/513).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*k - 67. Let w(j) = 42*j - 347. Is 35 a factor of w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12702137 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Suppose -5*t + b = -3*t. Solve t*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2100186?\nAnswer: 2, 3, 11, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11224542 (base 6) to base 7.\nAnswer: -2640116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/27)\/((-2)\/3). Factor -1\/2*x**2 + 0 + 0*x - f*x**3.\nAnswer: -x**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 12:20 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 + 2*b - 5. Let y be z(2). Suppose 4*w - 2*a - 9 - 3 = 0, 9 = y*w - 3*a. Solve 0*h = w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7463772 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 253. What is the remainder when h is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = 2*i - 619. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 45, 65, 85, 105?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17059, -31956, -46853, -61750?\n\"Answer: -14897*a - 2162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1290685 or 1?\nAnswer: -6\/1290685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 16*v + 6. Let x be s(16). Suppose -4*j + x = -2. Let k = -0.6 - -1. Which is the closest to -2? (a) k (b) j (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 152ba8 + -b?\nAnswer: 152b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 12 + (-150 - -129).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-30))\/((-2)\/(-5)). What is the closest to -1\/3 in s, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 251*k**2\/2 + 769*k + 940. What is the derivative of h(f) wrt f?\nAnswer: 251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 104 = -38. Suppose 7*n - 335 + 160 = 0. Suppose -d - p = 2*d - n, -2*p + 20 = 3*d. Calculate the smallest common multiple of h and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42.7, 2, -3\/5, -1380, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4006037 + 2806037. Round g to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20584.\nAnswer: 2, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -187*y + 168*y + 16112. What is the greatest common factor of y and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43175718 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g + 1. Suppose -10 = 2*u - a, 5*u - u + 14 = -a. Calculate j(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3\/5 + 756*t**2\/5 - 11907*t\/5.\nAnswer: -3*t*(2*t - 63)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5608 divided by -5\nAnswer: 5608\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**2 + 22*j + 83. Calculate q(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 182 + 752. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 804 = -153. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*a - 38 = 2*z, -40 = -4*z + a. Let i = 30 - z. Solve 3*v - i = -6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/12*6)\/(6\/472)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.042 - 73.958. Let s = l + 77. What is the third biggest value in 2\/3, 1\/6, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/((-1)\/1). Let k = 0.1188 - 0.5188. Which is the nearest to -1? (a) 9 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2 - 1 - 0). Let v = 9521\/19 + -501. What is the closest to f in 3, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 15*g**2 - 59*g - 51. Give o(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/6)\/(1325\/(-1590))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o - 19. Let s be n(5). Solve -3*d - 9 = 0, 0*m - 5*d - s = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/36 + ((56\/(-7))\/(-4) - 2). What is the closest to -0.13 in v, -1\/5, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -99641 + -35?\nAnswer: -99676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 3. Let i be t(6). Let z = 22 + i. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -7*o**6 - 74*o**3\/3 - 141*o - 1. What is the second derivative of s(k) wrt k?\nAnswer: -2520*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/2 of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37, -1, -3, -10 in decreasing order.\nAnswer: -1, -3, -5, -10, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + z)*((7282 - 5522 - 16467)*(-2 + 2 + 1) + 1 + 1 - 4).\nAnswer: -14709*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-42))\/(1\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - n - 2*n**3.\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425163375 by 1625.\nAnswer: -261639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4247 is divided by 1985.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 555*s**3 - 159*s**2 + 3*s + 24700 wrt s?\nAnswer: 3330*s - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**3 - 3*g**2 + 3*g. Let v(q) = -7*q + 2*q**3 - 4*q**2 + q**3 - 9*q**3 + 11*q**2 - q**3. Give 3*v(r) + 7*y(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069923353.\nAnswer: 71, 677, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*t - 4 + 4)*(-13*t + t + 9*t) + 6*t**2 - 2*t**2 - 2*t**2)*(-4*t - 2*t**2 - 6*t + 2*t) as c*t**3 + s + x*t**2 + v*t**4 + y*t and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12058 is divided by 3952?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {x: 4, u: 2, p: 3, m: 2, o: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162896 = 4*k - 44*h + 48*h, -203604 = -5*k - h. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (22 + (-52 - -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*h + 11675, 0 = -2*l + 28*h - 23*h + 4685. What is l rounded to the nearest ten?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 137872482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnzqzzn. Give prob of sequence znzq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133958 = -990*m + 77528 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3336 and 8838.\nAnswer: 4913928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 29682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.2469781 rounded to 1 decimal place?\nAnswer: 152.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19753 - 1282. Is 131 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -2*5\/2. Suppose -4*x + i + 2 = 0. Is x <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4509 take away -12734367.5?\nAnswer: 12738876.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 488184*c - 1952800.\nAnswer: 4*(c - 4)*(c + 122050)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342250 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 80 = -28*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) - (-550)\/66.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 157744 = 2*u. Let z = -1144603 + 793475. Let s = z - u. What is s rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okfo. What is prob of sequence fo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 - -222. Let j = v + -31.32. Round j to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555541.8 hours in microseconds?\nAnswer: 1999950480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.019 * 0.1082.\nAnswer: 2.9234558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 16 = -5*f, f + 0*f + 3*k = -4. Factor 5*l**f - 15*l**5 + 6*l**5 - 24*l**3 - 4*l + 16*l**4 + 16*l**2.\nAnswer: -4*l*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-7 - -11) + -1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 2 + 398*n**4 - 17*n**2 + 10*n**2 + 7*n**2 as b*n**4 + y + x*n + d*n**2 + s*n**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114\/11 - -603\/55. Let r be (2\/(-6))\/((-2)\/6). Let y = r + -3\/2. Sort n, y, 3 in descending order.\nAnswer: 3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -346 + 186. Let y = h - -163. Solve -12 = y*o + 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*d**5 - 47*d**2 + 24*d**2 + d**2 wrt d?\nAnswer: -900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*b - 16 = 0, -3 - 7 = 2*j - 2*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -6. Suppose 0*u + g = -3*u. Let j(q) = 2*q - 1. Let d(b) = 2 + 6*b - 8*b - 1. Determine u*j(l) - 4*d(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*w - 14, f + 4 = -3*w - 2. Let d(u) = -u**2 + 6*u + 3. Let t be d(f). Which is the biggest value? (a) -2\/7 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 16. Calculate the least common multiple of 7 - (-2 - d\/(-1)) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982582450 to the power of 1\/2, to the nearest integer?\nAnswer: 31346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*v - 7*v - 341, 4 = 2*v. Let t be ((-645)\/(-25))\/((-1)\/(-5)). Let c = t + s. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 738497404 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 10*u**2 + 5)*((0*u - 2*u + u)*(3*u - u + 0*u) + 3172 + 286*u**2 - 3172) as n*u**2 + x*u + i + a*u**4 + t*u**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(13)*-3 + sqrt(13) - 3*sqrt(1872))*3*-4.\nAnswer: -2280*sqrt(13) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 4. Let f be o(-2). Suppose -22 = 4*w + 26. Let y be ((-2)\/(-3))\/(2\/w). Is f less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-4*v - 19 + 19) + v + 10 - 10.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 30\/9)*0. Let i be u - 8 - (5 + -6). Calculate the remainder when 10 is divided by 1\/(i\/(-6) - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 16*j. Let k be w(-13). Suppose k*g - 5 = 40*g. Let t be ((g - -2) + 6 - 6)\/(-1). Solve -2*h = t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (5 + 2 + sqrt(162) + 0 + sqrt(162) + 4)*5)*3)**2.\nAnswer: 82620*sqrt(2) + 169209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, m: 2, g: 5, v: 3, r: 1}. Give prob of sequence rvgv.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0164734 - 0.5\nAnswer: -0.5164734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2535 and 698385?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 713 - 713. Let g(m) be the third derivative of 0*m**6 + a*m**5 - 1\/42*m**7 + 6*m**2 - m**3 + 0*m**4 + 0*m + 0. What is the derivative of g(k) wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32268 is divided by 10747?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 342*p - 347*p + 319, -78 = -z - 3*p. What is the least common multiple of z and 891?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d + 897. Suppose 2*h = b + 611, -4*b + d = 3*h + b. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/9, -8, 1.6, -2\/35?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + 1 + 13 + -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -d + 2*g, d - 522*g - 33 = -519*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*o = -o + 12, 12 = -2*l - o. Let c = 266 + -269. Put c, l, 1\/2 in ascending order.\nAnswer: l, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*x - 400, -505 = 3*x - 8*x + 5*n. Calculate the greatest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/567 and -73\/632529?\nAnswer: 4427703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 39. Let v(m) = -2*m - 1. Let r(y) = 4*y + 2. Let g(u) = -4*r(u) - 9*v(u). Calculate g(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96833011 divided by 2?\nAnswer: 96833011\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 7638 - 7692 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -15086833505.4?\nAnswer: 15086833505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**(-20\/9)*(l*l**(1\/5)*l)\/((l*l*l\/l**(-4\/3)*l*l*l)\/l*l) assuming l is positive.\nAnswer: l**(169\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 81, -38, 3, -0.4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39514807?\nAnswer: 43, 918949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -247, -780, -1817, -3526?\n\"Answer: -28*c**3 - c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 0 = 4*u. Is -10*(-27)\/3 + (u - 4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 183*o**3 + o**2 - 89*o**3 - 98*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 77 = 63. Let y(h) = -18*h**3 + 6*h**2 + 4*h - 34. Let u(c) = -4*c**3 + c**2 + c - 7. Let m(w) = r*u(w) - 3*y(w). Factor m(b).\nAnswer: -2*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let y = 37 + t. Let l = y + -41.892. Round l to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5 + 1186*b**4 - 215252*b**3 + 13402360*b**2 - 137805200*b - 151424000 = 0.\nAnswer: -1, 14, 130, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = o + 4*o. Suppose v - o = -2*v. Solve 2*g = y - 2*y - 7, 4*y - 4*g - v = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 4*v**2 - 3*v + 3. Let c be b(2). Let f = 10 + -4. Let x = c - f. Is -1\/7 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 733, 1450, 2165, 2878, 3589, 4298, 5005?\n\"Answer: -u**2 + 720*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180.8879 + 1.8421. Let t = 246 + -432. Let c = t + o. What is c rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 29*q**4\/24 + 61*q**3\/24 + 3*q**2\/8 + 5830*q - 1. Solve n(j) = 0.\nAnswer: -1, -3\/58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3 + 6 + 4*g - 3*g. Let h = 9 + -16. Let s be y(h). Solve -o + 10 = -4*z, -z + 4*o - s + 7 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 25. Let j be (u\/(-10) + -1)*-2. Suppose -a = -3*r - 5*a + 14, -5*r + j*a = -70. What is the greatest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 80 = -51*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 43*v**2 + 134*v + 22. Is c(40) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16b2ecb8 + 1?\nAnswer: 16b2ecb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -20*j - 30. Let g be k(3). What is the common denominator of 19\/24 and (-4 + 170 - 1)*(-10)\/g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 212, 213, 216, 221, 228?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 309.\nAnswer: 1\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*g*x**4 + 3*g*x**2 + g*x + 2*g + 25*x wrt x.\nAnswer: 408*g*x**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3 + 244*a - 781 - 3*a**2 + 3*a**2 - 244*a - 1037*a**4 with respect to a.\nAnswer: -4148*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*a - 3*m - 0, 9 = 3*a - 4*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 9. Suppose n*u - r - 8 - 3 = 0, -5*r + 1 = 3*u. Is (-1)\/(u - (8928\/8926 - -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, 72, 171, 270?\n\"Answer: 99*c - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/246 and 73\/66.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/35*(-6)\/((3 - (-1 - 2))\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 1 + 16, 3*i - 2*o = 1427. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72072)\/(-224))\/99*-1*8 - (-7)\/(-1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4708321 and -3.25.\nAnswer: 4708317.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882)*-1 - sqrt(18))\/(sqrt(30)\/(sqrt(5) - sqrt(5)*-2)) + (2*(sqrt(192) + 2) + sqrt(192))*2)**2.\nAnswer: 384*sqrt(3) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*m - 2*j - 2, -5*m - 5*j = -5. Let x be (-4)\/3 + m + 0. Let z = -28954 + 28948. What is the nearest to x in -1, -3, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*x + 4. Let i be (-25)\/x + (-2)\/(-4). Are -9\/4 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -663.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68822 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21434 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.3, -2\/11, 9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 12 - 12 + (3*k + 0*k - k)*(-5 + 2 + 4) + 7 + 9*k - 7)*(1 - 5 + 3)*(k + 0*k - 2*k).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -586 + 588. Let u = 2 + -5. What is the biggest value in 1, c, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3503*t**2 - 132*t + 6. Let j(h) = 1303115*h**2 - 49126*h + 2233. Let q(x) = 2233*i(x) - 6*j(x). Let m(z) = -2*z. Give m(q(b)).\nAnswer: -7018*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c - 6. Determine p(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 - -202. Let n = c - 51. Which is greater: n or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/5500 and 113\/264?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004706 rounded to seven dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322618 is divided by 115.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -44. Calculate the lowest common multiple of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/81 + 0\/5.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3727*s - 4655*s - 1776*s - 5601*s.\nAnswer: -8305*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, v: 2, g: 7, a: 2, j: 2}. Give prob of sequence pa.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1611, -3090, -4449, -5700, -6855, -7926?\n\"Answer: -2*a**3 + 72*a**2 - 1681*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + df?\nAnswer: de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -11*z - 4. Suppose 4*j - 9 - 3 = 0. Let f(w) = -22*w - 9. Let q(o) = j*f(o) - 7*r(o). Calculate the remainder when 35 is divided by q(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 94, -0.61 in descending order.\nAnswer: 94, -0.4, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 + 2*v**3 - 4*v - 7*v**2 - 2*v + 5 + 8. Let s be k(-6). Let u(f) = 3*f**2 - 31*f - 12. Calculate the remainder when u(s) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1855 + 2150. What are the prime factors of l?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 378159.\nAnswer: -8\/126053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, -163, -1\/11, -5.\nAnswer: -163, -5, -2, -0.2, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 5*c**2 + 3*c - 4. Let s be w(-4). Suppose -5*l + 2 + 13 = s. Solve -l*m = m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 105. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (10 + -4)) + -18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1335)\/(-534))\/(84\/(-24))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/6 - 2550\/(-180))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 188448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 5*x + 4*x - x**2)*(-3 - 2 + 4) + (x - x - 2*x**2)*(-3 - 5 + 6) + 3*x**2 + 3*x**2 - 4*x**2.\nAnswer: 7*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1098\/4392*((-21)\/(-9) + -1). Factor 0*q + 0 + 0*q**2 - l*q**5 - 2\/3*q**4 + 0*q**3.\nAnswer: -q**4*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 17. Suppose a - 19 = 2*b, -a - 2*b + 4 = -3. Suppose -a = 5*l + 27. Let u be g(l). Solve 0 = z + 5*p + 26, 4*z + 4*p + 25 = u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 7*c**2 - 15*c**2 + 595744*c**3 - 1 + 3*c**2.\nAnswer: 595744*c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-21) - 148\/(-14). Let r = 14 - g. Suppose -y + 6 + 17 = 4*m, -5*y = -r*m. Let f(d) = -2*d - 1. Give f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3196547 months in millennia?\nAnswer: 0.000109971225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10156*s + 203128. Give u(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d5ca - -d7?\nAnswer: -d4d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3951\/189 - 21)*-21. Sort h, 17, -2, -40.\nAnswer: -40, -2, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - w = 21, v - 3*v + 6 = -w. Suppose -v*h = h - 12. Solve 5 = h*o - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvllbvbbbl. Give prob of picking 1 v and 1 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 434?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -308 + 327. Let v be 21\/(630\/160)*(-42)\/(-8). Solve v = -3*k + i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 1151*l - 139714. Determine g(-174).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*m**6 - 262*m**5 + m**3 + 189521*m**2.\nAnswer: -3240*m**3 - 15720*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*t + 1 = 0, 2*c + 13*t - 16*t = -1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.079092m to kilometers.\nAnswer: 0.000079092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-31))**(-2\/61)\/(s*s**41*s)**(20\/11) assuming s is positive.\nAnswer: s**(-51800\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 25. Suppose 155 = 3*y + z, -y - n*z = -2 - 63. Suppose 4*j + 3*i = 100, 0*i + y = 2*j - i. What is the remainder when j is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 100. Which is the nearest to -1? (a) j (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83114.\nAnswer: 2, 29, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 3*w + 4. Suppose 7*v = -799 - 503. Let z = v - -189. What is g(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from nnnanynynyanpnnnnann?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 2*b**3 + 2 + 13*b**2 - 4*b**2 - 6*b**3 - 5*b**2 to a + y*b**3 + v*b**2 + k*b**4 + t*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 324841 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10684893, -10684894, -10684895?\n\"Answer: -b - 10684892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 1 + 1)*(-5 + 5 + 20)*(0*c + 0*c + 7*c) as q + f*c and give f.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -20*c + 112. Suppose 0 = -23*o + c*o - 10160. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2 - 4294*h - 8681. What is a(479)?\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 8, a: 1, r: 2, l: 2}. Give prob of picking 1 s and 1 v.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3 + sqrt(832)*-1 + sqrt(832))*6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 244 (b) 2\/7 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 2*v. Let d be w(-4). What are the prime factors of 2\/d + 42\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 95 = -5*w, 622*q - 50 = 1258*q - 635*q - 4*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/161 - 276\/112.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 + (-2 - -3) - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 43 (b) -4 (c) 1\/3 (d) -5 (e) -2\/5 (f) 2\/5 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**2 - 6. Is 10 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 v when three letters picked without replacement from {i: 3, q: 1, v: 2, w: 1, z: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/3*2124\/(-2478)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3 - 291*j**2 - 2838*j = 0?\nAnswer: -86, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1668 or 1738?\nAnswer: 1738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqdqqqq. What is prob of sequence qd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.7 + -5.9. Is c at least 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3153 (c) -1 (d) -2\/11 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - (1 - -2))*(1 - 90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and (9\/18)\/(4\/240).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 652 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -17 (b) 0 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1128 and -119\/940.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 70. Suppose 198 = y*r + r. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 144768.\nAnswer: 144768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 x when three letters picked without replacement from {a: 2, x: 2, i: 6, f: 1, u: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4913756 divided by 4913756\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 224, 221, 218, 215?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51201944 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 7*y - 8*y + 111 - y as g*y + c and give c.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*h**2 - 55 + 55)*(0 - 1 + 0)*(0 - 2 + 4).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-2*2)\/(-4)*325\/(-650). Let v = 2\/185 + -571\/1480. Which is the nearest to q? (a) 10 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 42 = -20*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 3797 + 513. Let r = 513 + x. Calculate the least common multiple of r and 4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 z when three letters picked without replacement from zddydzdyyzy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56527497 and 22815?\nAnswer: 3674287305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.697399 millilitres to litres.\nAnswer: 0.000697399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*m + 2, 3*m + 0*l - 13 = -l. Let y(b) = b**3 - 5*b**2 - 5*b - 9. Let t be y(m). Let s = 43 + t. Solve s = a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) -10 (c) -17\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 6\/2)*(-2)\/5. Suppose m - 1 = q. Let o(d) = 312*d - 1 - 286*d + q. Let t(j) = -j. Calculate o(t(z)).\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4, -2*t + 3939 = -3*s + 1600. Sort -3, 1\/4, -0.5, 1, s in descending order.\nAnswer: 1, 1\/4, -0.5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 8:24 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9793 + -5544. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6 (b) -2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2664 and 12136.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/63 - -4225\/252. What is the common denominator of -1 - -3 - 5\/120 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 2855190?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 1\/2*s**2 + 0*s + 1\/12*s**4 + 0*s**3 + 2. Let f(w) be the second derivative of a(w). Let b(g) = -2*g**2. Give b(f(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -43. Which is the biggest value? (a) 2\/5 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -61. Let y(n) = -j + 8 + 4*n + 7. What is the units digit of y(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 6*t - 14. Let f be a(-17). Let w be (-10)\/(-4)*(-93464)\/f. Let d = -471 + w. Find the common denominator of 43\/8 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**4 + 4*h**4 + 21*h + 3*h + 10*h + 52*h**2 wrt h.\nAnswer: 12*h**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*m - 4*f - 6, 2*m + 4*f = 4. Let k(w) = 6*w - 5 + 5*w + 5*w**m - 6*w**2. What are the prime factors of k(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/32*((-90)\/16 + 2\/16). Suppose 4*c - 2*x - 6 = 0, -4*c + 3*x = 1 - 4. Let i = c - 3. Which is smaller: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y**3\/21 + 12*y**2\/7 - 26*y\/7 - 76. Find u such that c(u) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-16) - (-483)\/4. Let i = w + -52. Is 6 a factor of (i\/16)\/((-1)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(8\/(-10)))\/5. What is the highest common factor of 11 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 (base 6) in base 8?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91262 is divided by 14856?\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5608 = 5*f + 3*d, d - 3*d = -4*f + 4504. What are the prime factors of f?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(228) + (sqrt(228) - 2*sqrt(228))) - sqrt(228)) + -5*(sqrt(228) + sqrt(228)*1))\/((sqrt(72)*-1*5)\/(sqrt(12)\/(sqrt(2)*1))) + -1.\nAnswer: -1 + 11*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. What is the greatest common divisor of c and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1870*o + 940*o + 932*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14624573 to the power of 1\/2, to the nearest integer?\nAnswer: 3824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 714\/335?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27308 + -27297. Let u be 3 - (-12 - (-3 + 3)). Let w = 0 + u. Solve f = -5*j + 2*b - 9, b = 5*j + w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*a + 201*a = 53587. Which is smaller: 1305 or a?\nAnswer: 1305","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6244\/155 or 4\/5?\nAnswer: 6244\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0597 take away -0.5?\nAnswer: 1.5597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 26 - (-1 + -3) - 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36 (b) 1\/3 (c) 1\/5 (d) -6 (e) 0.29 (f) 5 (g) -97\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 22 + 18 = 4*o, 5*o - 45 = -4*p. Suppose y - 403 = o*d, 0 = -y + 2*y + 5*d - 423. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 2.1. Let g = -1\/134 - 263\/670. Put 5, r, g in decreasing order.\nAnswer: 5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85931552 divided by 16.\nAnswer: 5370722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 3) to base 4\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/125*-5 + (3 - 0). Let w = 21 + -83\/4. Let q be ((-3)\/6)\/((-1)\/2). Which is the second biggest value? (a) q (b) w (c) -4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2717 and -0.018?\nAnswer: 2716.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 3899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25676 is divided by 5029?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2486229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 0. Let j = 3 - g. Suppose -3*y = -34 + j. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91073192.\nAnswer: 2, 7, 23, 70709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7321470 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17623*z + 7307*z - 181334*z.\nAnswer: -156404*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38089767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 999 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 3*r**5\/10 - 47*r**4\/30 + 8*r**3\/15 - 3201*r**2. Let z(t) = 0. Calculate t.\nAnswer: 4\/45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(-8) + ((-25)\/(-4) - 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166 or -9?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050620 is divided by 1310.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r. Let o = 3 + r. Suppose 2*q - k - 9 = 2*k, 4 = o*q + 5*k. Is 3 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - (-195)\/18 - 15\/6. Let m = 73\/4 + -18. Sort 0.5, y, -0.07, m.\nAnswer: -0.07, m, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*d**5 - 2*d**4 - 34*d**5 + 48*d + 0*d**4 - 158*d wrt d?\nAnswer: -40*d**3 - 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 + 13*a + 9*a**2 - 2*a as q + b*a + c*a**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82011000 divided by -1500.\nAnswer: -54674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 - 2*o**5 + o**5 - 265*o**5 + 16212 - 16212 - o**5 - 2 + 2 + (-4*o**2 + 4*o**2 - 2*o**4)*(-17*o - 6*o - 6*o).\nAnswer: -209*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 9:22 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22534 is divided by 6859?\nAnswer: 1957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25716287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.32 (b) -2\/9 (c) 3\/7 (d) 12 (e) -2\/73 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.7 + 4.9. Which is the nearest to -0.1? (a) -0.5 (b) -3\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1404*i + 200*i**5 - 190*i**5 - 3*i**3 + 97*i - 94*i wrt i.\nAnswer: 200*i**3 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1405 - 2805 + 1394 + 2*b**2.\nAnswer: 2*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -308 - 252. Suppose 0 = 6*t - 13*t + z. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + -19 - (-14 - -2)) + 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = b - 1. Is (-6)\/45 - (-124135)\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**5 + 6*q**4 + 675*q**3 + 3126*q**2 + 4836*q + 2376 = 0.\nAnswer: -11, -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1247*w**2 + 315*w**2 - 196*w + 931*w**2.\nAnswer: -w**2 - 196*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-1)\/(-12)). Let w be 7\/42 - (-31)\/q. Let m = 0.48 - -0.02. Which is the smallest value? (a) -1\/3 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {f: 2, c: 1, n: 4, x: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s**2\/3 - 134*s\/3 = 0. Calculate s.\nAnswer: -67\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(12))*-1.\nAnswer: -2*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-50)\/3)\/((-58)\/18 + 3). Suppose -v + w = -20. List the prime factors of v.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -67*p**2 - 74*p - 154. Calculate n(-2).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/(360\/64)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-1)\/(-2) - (-252)\/(-520)). What is the highest common divisor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 178485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 21. Let a be j(-25). Let x = a - -29. Solve 4*p + 5*q - 2 = -x*q, 0 = -4*p - q + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2560.546498 + -5309.\nAnswer: -2748.453502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -21*x**2 - 42*x**2 - 60*x**2. Let j(o) = -219086 - 2*o + 219086. What is j(m(h))?\nAnswer: 246*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22e (base 15) in base 13?\nAnswer: 2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*q - 6 + 3 - 2 + ((-4 + 4 - 7)*(3*q - 4*q + 3*q) - 1 - 2*q + 2*q + 2*q)*(-3 + 3 - 2).\nAnswer: 6*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 2. Suppose -5*z + 30 = -5*q, -2*q - 2*q = 2*z - 24. Let w be u(z). Calculate the greatest common divisor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 43.8, 0.2, 0, 4, 2.\nAnswer: 0, 1\/11, 0.2, 2, 4, 43.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*r + 233*r - 701*r**2 - 358*r**2.\nAnswer: -1059*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose 2 = -4*j + 2*j - 4*f, -2*j + 2*f = t. Let k = -95 - -95.5. What is the third biggest value in k, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*a**3 - 6*a**2 + 5*a wrt a.\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.059 + -0.041. Let p(t) = t**2 - t + 1. Let r be p(2). What is the closest to c in -2, 4, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*x - 5, 96 = g + 5*x + 92 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/a**(-5\/7))**(-7\/6)*(a*a*a*a**(-8)*a*(a\/a**(-4\/3))\/a)\/(a*a*(a\/a**(-2)*a*a*a)\/a*a*a*a)**33 assuming a is positive.\nAnswer: a**(-1945\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 2930*f - 2923*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4)*3) - (sqrt(475) + -1) - ((-1*sqrt(76))\/sqrt(4) + (sqrt(684)*-3)**2).\nAnswer: -6155 - 11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p\/((p**(-24)\/p)\/p))*p*p*p*p**(2\/7) assuming p is positive.\nAnswer: p**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 11\/4)\/(2\/80). Let b = l - -32. Let i(k) = -b*k**2 + 1124 - 1123 - 11*k**2. Give i(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41174382 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**5\/60 - y**4\/12 + y**3\/6 - 3*y**2 - y. Let c(w) be the first derivative of k(w). What is the units digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252080 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5\/8 - 15567*n**4\/8 - 187119*n**3\/8 - 608433*n**2\/8 - 109221*n\/2 = 0 for n.\nAnswer: -7, -4, -1, 0, 5201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20471526+0.1025\nAnswer: 20471526.1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 7:19 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 9*s**2 - 4*s + 7. Does 9 divide t(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38\/53 - 8\/159. What is the biggest value in -0.13, d, 2\/11, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 11545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91164 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17698.\nAnswer: 2, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 - 10023*b**2 - 20045*b\/2.\nAnswer: -b*(b + 1)*(b + 20045)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/f)**47\/(f*f**(1\/4))**0 assuming f is positive.\nAnswer: f**(-423\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**4 + 45*g**3 - 131*g**2 - 24*g + 168. Let v(p) = -9*p**4 + 69*p**3 - 196*p**2 - 36*p + 252. Let y(u) = 7*k(u) - 5*v(u). Factor y(m).\nAnswer: 3*(m - 7)*(m - 2)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 131025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -52*((-130)\/2600)\/(((-6)\/(-1))\/30)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m + 30. Let c be t(2). Suppose c = 57*u - 62*u + 8900. What is u rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.47 - -2.156. Let u = 0.214 + x. Which is greater: -282 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 329968881 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 - 0.18.\nAnswer: -105.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104 - -115 - 110) + 69.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 20868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12555*r = 12577*r - 1201684. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 87 (c) -2 (d) 0.1 (e) -2.7 (f) -2\/5 (g) 12.896\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -7 - (-12 - (-53 + -2))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83914 and 15724?\nAnswer: 659731868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjjjjwjwjjjwwwwwjw. What is prob of picking 1 j and 1 w?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6 = 0, 27 = 5*v - h + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 4, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031191841 rounded to six dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42\/5 of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 3*z - 3*z)*(2*z + 5*z - 5*z) + 4*z**2 + z**3 - 4*z**2 + (0*z + 0*z - 2*z)*(3*z**2 - z**2 + 0*z**2) + 2 + z**3 - 2.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/4*0)\/3. Suppose g = 5*n - p - 5, -n - 2*n = -p - 1. Solve 2*v = -n*x + 10, -3*v - 17 = -4*x - x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18965616069 - 0.17.\nAnswer: 18965616068.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 4*g**2 - g - 3. Let l be (-75)\/18 + 2\/12. Let j be i(l). Let p be 1*(-15)\/(-20) - j. What is the second biggest value in p, -3, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 875.07407 + -0.07407. Put 1\/10, -1\/3, o, 1 in descending order.\nAnswer: o, 1, 1\/10, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370595*g**2 - 740953*g**2 + 370574*g**2.\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1390, 2, -1, 4, 3, 0.\nAnswer: -1, 0, 2, 3, 4, 1390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from dwjjdddwj?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36399 + -181991\/5. Factor 4\/5*t**2 - 16\/5 - f*t**3 + 16\/5*t.\nAnswer: -4*(t - 2)*(t - 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92506*q**3 + 74164 wrt q?\nAnswer: -277518*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(7\/5)\/(x\/(x*(x**(-8)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12002 (base 4) in base 12?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, -12 in increasing order.\nAnswer: -12, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - m - m)*(2 - 3 - 6) - 5 + 4*m + 11*m - 13*m to the form n + z*m and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + (3 - (-98)\/(-14)). Solve -u*s + 4*w + 4 = -5*s, s + 2*w = 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poo when three letters picked without replacement from oooobbp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + -22.1. Let h = v + 18.8. Which is bigger: h or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-8 - 2 - (-15 + (2 - 0))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1486, -1483, -1480?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.5 (b) -0.1 (c) 1\/4 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) - 1 - -10. Suppose 186 = 2*p + l. Let a = 141 - 130. Calculate the greatest common factor of p and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 + a**5 + 0*a**4)*(13 + 20 + 7).\nAnswer: 40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5305, -20098, -44417, -78256, -121609, -174470?\n\"Answer: y**3 - 4769*y**2 - 493*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125572.5715 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -214564\nAnswer: -858256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 280*m.\nAnswer: -5*m*(m + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -140. Let x = t + 48.000034. What is x rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67d5 (base 14) to base 11\nAnswer: 125a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 4*r + 3, 3 = x - r. Suppose 2*u = u + x. What is the second derivative of 3*d**2 + u*d - d - 3*d wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4949 and 1327039.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*z - 21 - 24, 0 = 4*x - z + 77. Let q(v) = 84500*v. Let k be q(x). Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28936 + 28939. Sort -153, u, -2, -1.\nAnswer: -153, -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**3 + 5*u**2 - 20*u - 5. Let x(q) = 3*q**3 - 2*q**2 + 10*q + 2. Let d(g) = -2*b(g) - 5*x(g). What is the second derivative of d(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -55. Let t be (v - 2) + 0 + 3 + 2. Let y = t + -1. Sort y, -2, -5 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742986598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 2*w)*(5*w**3 - 2*w**3 + 0*w**3) + 2*w**4 - w**4 + 0*w**4.\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -117 + -1?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 35*a**2 - 1643*a - 52636. Determine q(-29).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1374, -1369, -1352, -1317, -1258, -1169?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 681 and 38389332?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 1. Let k(p) = -p**2 + 6*p + 28. Let d(j) = -k(j) - 4*z(j). Let w be d(6). Suppose w = 3*v - 3*c - 564, -2*c + 750 = 4*v - 7*c. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817368.5 litres to millilitres.\nAnswer: 817368500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 653289765 a multiple of 1349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*g = -1208 + 174 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 8*g + 3. Suppose -20 = 5*p - 4*y, -25 = 3*y - 10. Let d be a(p). Suppose -5*r - d = 2, -2*h + 2*r = -4. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 231, 496, 749, 984, 1195, 1376?\n\"Answer: -o**3 + 272*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 883302?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1957 and -53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwhh. Give prob of sequence wwhh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 28, -1, 6, -3 in descending order.\nAnswer: 28, 6, -1, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 5*y**5\/4 - 215*y**4\/8 + 590*y**3\/3 - 2065*y**2\/4 + 735*y\/4 - 1245. Determine z so that n(z) = 0.\nAnswer: 1\/5, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 45\/(-39) - 7.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*sqrt(17)*1*6.\nAnswer: 5 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s*s**(1\/3))**37*(s**(-1\/4)\/s**(-8))\/((s*s*s*s**0*s*s)\/s*s)**4 assuming s is positive.\nAnswer: s**(-1775\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9388 + 13225. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 4*a + 2. Let v be q(3). Let r(t) = 4*t**3 + 2*t**2 - 2*t - 3. Let w be r(3). Is w\/15 - v\/5 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {s: 4, r: 8, p: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a**2 - 28*a**2 + 63*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/8)*c*(((c**(1\/6)\/c)\/c)\/c)\/c)**24 assuming c is positive.\nAnswer: c**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7363*w - 12*t - 32 = 7367*w, 0 = -w + 24*t + 73 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32910, -65817, -98722, -131625?\n\"Answer: h**2 - 32910*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23331\/25 - -933. Find the common denominator of v and (165\/(-225))\/((-2)\/(12\/(-5))).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 22*i - 7. Suppose -2*m - 6*m + 120 = 0. Suppose 55 = 10*r - m*r. Is 15 a factor of g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67315760 and 3.\nAnswer: -201947280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13874.874 to the nearest ten.\nAnswer: 13870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbwb when four letters picked without replacement from {b: 7, w: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, -0.3, 37 in ascending order.\nAnswer: -0.3, 1\/5, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -3*y**5\/20 + y**4\/4 + 5*y**3\/6 + 5*y**2\/2 + 13*y. Let a be v(-2). Is 14 a factor of (3\/(-5))\/((-9)\/(-45)) + a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -424325104?\nAnswer: -424325116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 4 = -18*x. Is x*((-7990)\/(-4) + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -85, -121, -157, -193, -229?\n\"Answer: -36*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-4 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -19*t**3 - 570*t**2 + 2579*t - 150. What is b(-34)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15*(-25)\/(-30)*10)\/1. Suppose -123*x = -a*x + 10. Solve 2*s - 2 = k - 3*k, 3*k - x*s - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (0 - -1)) + 1. Let k(h) = 2*h - 1. Let t be k(c). Let v = 2 + t. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/2 - (8 - 5). Calculate the greatest common divisor of 110 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014\/8 + 7\/28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 7.5959677\nAnswer: 15.1919354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, b: 1, s: 5}. What is prob of sequence sv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose 0 = 753*y - 744*y - 27. What is f in -2*f**c + 4*f**y - 2*f**2 + 12*f**3 - 12*f**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1577*u + 89859. Determine k(57).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = 25*j + 300. Let a = j + -46. Let f = -41 + a. Calculate the remainder when 50 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyysyysyyyy?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -716, -1087, -1474, -1883, -2320, -2791?\nAnswer: -3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*t + 15, -4*g + 14 = t - 3. Suppose g*j + 140 = 18*j. What is the remainder when 18 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**3 + 2*r**2 - 1. Let d be p(-1). What is the hundreds digit of 208 - (-3)\/((-9)\/30*d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-4)\/(-4 + -15688)). Suppose -m - 675 = -11*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 4 (b) 1\/4 (c) 0.07 (d) 3827 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25003, 50003, 75003, 100003, 125003?\n\"Answer: 25000*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -14. Let l = -12 + 33. What is the greatest common factor of l and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/235 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143) + 3*sqrt(143))*-6)\/(-2*sqrt(22)\/(sqrt(2) - (-1*sqrt(2) + sqrt(2)))) + 5 + 2 + -2.\nAnswer: 5 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114489218 or 114489226?\nAnswer: 114489218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*(-1246 - 3890 - 708 - 557).\nAnswer: 12802*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r - 84. What is l(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -316 + 378. What is the highest common divisor of p and 1984?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + 0.1. Let p = -0.24 + f. Let g = 0.8 - p. Put -1, -2, g in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 139766 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (0 - (9 + -16)) + -18\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1850 - 0.111\nAnswer: -1850.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let t = -5 - 0. What is the nearest to c in 4, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.723686 to two decimal places.\nAnswer: -92.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 81.57025cm?\nAnswer: 815702500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 4*a - 2. Let h(n) = 2*n**2 - 8*n - 5. Let s(q) = 7*g(q) - 4*h(q). What is the remainder when (40 - 1)\/((-3)\/(-2)) is divided by s(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325734 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11675 by -4.\nAnswer: 11675\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglunuggl. What is prob of sequence nlgu?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (991*d + 107*d + 866*d + 819*d)*(-6*d + d + 0*d) in the form u + t*d**2 + o*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31143882 and 945?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3067752 or 3067750?\nAnswer: 3067752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*k + 5405, -2*c - 719 - 4711 = 5*k. Let z = k - -1778. Suppose -l - b = l - z, 0 = 4*l - 3*b - 1398. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140145 (base 6) to base 8\nAnswer: 31341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -90*a + 16005. Give b(178).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n**5\/25 - 190*n**4 - 32356*n**3\/25 - 58072*n**2\/25 - 19408*n\/25 + 11072\/25 = 0 for n.\nAnswer: -4, -2, -1, 2\/7, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmrt when four letters picked without replacement from rkmmrrtmrkrmmmrrrm.\nAnswer: 49\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -22*v**5 + v**3 - 32*v**2 - 4*v. Let o(w) = -w**5 + w**3 - 2*w. Let k(i) = 2*o(i) - y(i). What is the third derivative of k(p) wrt p?\nAnswer: 1200*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1828110.\nAnswer: 3656220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(15) + sqrt(1500)*1 + sqrt(60)\/sqrt(4)*-2)\/(3*1*(sqrt(3)*2 + sqrt(3))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1272846, -1272856, -1272866, -1272876, -1272886?\nAnswer: -1272896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-66)*3\/((-45)\/12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a - 21*a - 14*a - a as g + q*a and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6 and 157\/9198.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (14 + -20 + (0 - -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**4\/24 - 24*n**2 - 11. Let c(b) = 2244*b. Give x(c(h)).\nAnswer: 2244*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2, 6, -9.6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -21*k. Let l be (-2 - (6 - 0))*(-6 + -1). Let a(x) = -16*x + l*x - 17*x - 22*x. What is p(a(t))?\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*-17*(-2)\/170?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.298 (b) 1 (c) 1\/13 (d) 11 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, 1 in ascending order.\nAnswer: -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -138203255 - 1?\nAnswer: -138203256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 3*z**2 + 3. Let m be 1 - 0 - (0 + -3). Let l be 10\/m - 14\/(-28). Determine h(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(1300) + 5 + (-2 + sqrt(1300))*4)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 19. Let m be k(17). Let p(n) = -n - 5. Let h(t) be the first derivative of -t**2\/2 - 4*t - 271. Calculate m*p(b) - 3*h(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656, 2484, 5532, 9800, 15288?\nAnswer: 21996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24)\/108 + -2 + 20738\/9.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211111101002 - 12?\nAnswer: 211111100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 607, 22, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 - 121. Let h be 0\/((s\/9)\/(2\/(-6))). Factor 2\/7*w**5 - 2\/7*w**3 + h*w - 2\/7*w**2 + 2\/7*w**4 + 0.\nAnswer: 2*w**2*(w - 1)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4284 divided by 4.\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -216. Let i = 591 + c. Suppose 180 = 5*u - i. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + h + 7 = 0, m = -2*h - 9 - 2. Let x be (-1 - -2)*(-1)\/m. Let s(q) = -3*q**2. What is s(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*g + 0 - 115*g + 9.\nAnswer: 2*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114320140 + -14?\nAnswer: 114320121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 10679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 18?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47772 and 63696.\nAnswer: 191088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 57*u + 32. Let h be (-54)\/(-15) - (3\/5 - 1). Let j be v(h). What is the highest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 38. Let d = 35 - 15. Let g = k - d. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162209649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)\/(g**(-1\/10)\/g))**49\/((g**(2\/3)*g)**(-1\/63)\/(g\/(g\/(g*g\/(g\/(g\/(g*g**0*g)))))*g*g*g**(-1\/5))) assuming g is positive.\nAnswer: g**(167063\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11500508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 35*m**3 - 38*m**3 + 5*m**2 - 34*m**3 + 105*m**3 + 10*m as j*m**2 + f + g*m**3 + s*m and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1005)\/(-4340) + 36\/(-144). Which is smaller: 1.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/43 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4495.\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(2448) + 1)*3 - ((sqrt(2448) + sqrt(2448) + 0)*-5 + -2)) + -5 + -1.\nAnswer: -13 + 156*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 2484*p**2 + 751026*p + 12660512.\nAnswer: 2*(p - 629)**2*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/2 - 52*m**3 - 54*m**2 - 23*m - 16*m**4.\nAnswer: -(2*m + 1)**3*(4*m + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 56038\/38 - (-2370)\/7505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21120320 + 1120?\nAnswer: 21122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8 - ((-6)\/4 + -1). Let s be (i + (-3)\/2)*-2*0. Let o = -7 - -8. Which is the nearest to -0.1? (a) o (b) s (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*i - 475 + 175 = 1156 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -53, -69, -81, -83, -69?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -35564546.2 - 0.13\nAnswer: -35564546.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/5740533 and -73\/203565.\nAnswer: 28702665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {s: 2, v: 2, m: 1, k: 2, h: 2, n: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*y = 6, -3*u - 38*y + 37*y = 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65583.0557 - -0.02.\nAnswer: -65583.0357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*v - 2289 = -14 + 805 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 556 + -538. Calculate the lowest common multiple of (1*110)\/((-7)\/(-21)) and w.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -396460*l**3 - 3655*l**2 + 3655*l - 7310. Let a(t) = -217*t**3 - 2*t**2 + 2*t - 4. Determine 10965*a(w) - 6*o(w).\nAnswer: -645*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36346d - 0?\nAnswer: 36346d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*q + 23, 4*p - 9*q = -13*q - 28. What is the smallest common multiple of (-34)\/51*-2*(p - -5) and 65?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 849160, 849112, 849032, 848920?\nAnswer: 848776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52905524 is divided by 98.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 9*i + 74 = 4*y, 0 = 4*y + 4*i - 80. Calculate the remainder when y is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420296136 to the power of 1\/2, to the nearest integer?\nAnswer: 37687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*3\/9*1. What is the nearest to m in 1\/2, 0.4, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168659039 divided by -4\nAnswer: 168659039\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*s - 12 = 122*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14045926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-364)\/(-28) - 13 - 1\/(-21))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 = -5*f + 18, 4*f = 0. Let u be -8*q\/((-30)\/6). Solve -20 = -3*m + u*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m - 2794 - 682 = 0. What is the remainder when m is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 12*q + 327 = 0. Let n = q - -130. Solve -15 = p - 2*z, 5*p - 5*z + n = -29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 190 + 183 = 0. Solve x = -o + y - 3, 5*o = 5*x + 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -885, -3532, -7943, -14118?\n\"Answer: -882*p**2 - p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171)*1)\/(-4*sqrt(9)*-3 - sqrt(9)) + -5.\nAnswer: -5 - 4*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 132.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -19145?\nAnswer: 76580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3 - -2) + -2)*24\/18. What is m rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, 2, -0.3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, 40, 151, 306, 505?\n\"Answer: 22*a**2 + a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020333429 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 2, v: 1, m: 1, s: 2}. Give prob of sequence ss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6914470 - 0.23?\nAnswer: -6914470.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2950864 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -1, -10\/11, 15, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -2\/15*i**3 + 1\/5*i**4 + 0*i + 9 + 2\/25*i**5 - 2\/5*i**2. Determine m so that g(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/5, -2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1. Let y(z) = -z**2 - 11. Let l(t) = -22*p(t) - 2*y(t). Let q(s) = 28*s**2. Determine q(l(a)).\nAnswer: 112*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 + 2*g - 6. Let z(r) = r**2 - r + 2. Let w(k) = -q(k) - 3*z(k). Let b(i) = 10*i**2 + 6*i. Calculate b(j) - 6*w(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3308 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/19 (c) 483 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 6*n + (-4 + 0 + 3)*(2 - 2 + n) + 1 - 1 - n - 2*n + 2 - 2 + (2 - 3 + 3)*(0*n - n - n) + 2 - 2 - 2*n + (-5 - 5*n + 5)*(-1 + 2 - 12).\nAnswer: 51*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 67. Suppose 0 = 3*c + y - 45. Suppose c*w - 10 = -2*d, -2*d - 4*w + 11 = 1. Solve -25 = -d*f - 2*a - 3*a, -a = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -17\/2 (c) -0.1 (d) -4 (e) 1\/9 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.7 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74449547 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:02 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = m + 69, 4*i + 13 + 7 = 0. Find the common denominator of (-3 + 5)*((-73)\/m - 0) and -2 - 94\/4 - 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1787.206*12.\nAnswer: -21446.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*j - 76*j + 0*j.\nAnswer: -110*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10202 (base 5) to base 10.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54868 rounded to 2 dps?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose -4*j = -0*j + 4*t - 28, t + 11 = 5*j. Suppose 0 = -4*s + c*d + 2*d + 32, j*s + d = 4. Solve n - 6 = s*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*l**6 + 0*l**2 + 40*l**4 - 40*l**4 + 581*l - 2*l**2 - 62*l**3 + 557*l wrt l?\nAnswer: -2280*l**3 - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4312 - 4323.312. What is s rounded to one dp?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 3, z: 1, d: 6, n: 1, y: 2}. What is prob of sequence vy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 362968\nAnswer: -11\/362968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8393?\nAnswer: 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-36)\/(-45))\/(1\/115)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(-25))**(-22\/5) assuming d is positive.\nAnswer: d**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44486 is divided by 770.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 + 390 = -97*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = k - 188, -3*h - 41 = -66*k - h - 209 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.03209, 1\/7, -2, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 1:09 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1301158 and 41\/7372.\nAnswer: 2602316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*(2 - -3 - 15). Let w be g\/(-2)*-1*24\/10. Sort 0, w, -37 in decreasing order.\nAnswer: 0, w, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3297*q**2 + 3290*q**2 + 1 - 6590*q**2 - 3*q**3 + 3*q to k*q**2 + n*q**3 + v*q + i and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 22*d = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - 3*o - 2. Let m(v) = v**3 + 2*v**2 + v. Let k be m(-2). Let y be c(k). Solve 2*q = -y*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 23.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -32. Let r = z + -15.999926. What is r rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1665 equal to -1666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 1.49605.\nAnswer: -1.42605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*w + 67*w + 35*w**3 - 36*w**3)*(0 + 0 + w).\nAnswer: -w**4 + 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k**(-5\/2))**(2\/23)\/(((k*k*k\/k**(-2\/3))\/k)**(4\/23)*k**1\/(k\/(k\/k**(2\/9)))) assuming k is positive.\nAnswer: k**(-298\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 - (3 + 2 + -10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t + 23\/6*t**3 + 0 - 19\/60*t**5 + 19*t**2 + 1\/120*t**6 + t**4. Is r(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 129. Let r(b) be the third derivative of -b**6\/720 - 91*b**4\/24 + 58*b**2. Let w(p) be the second derivative of r(p). What is a(w(c))?\nAnswer: -c + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 14*o**2 - 75*o + 265. Let z be a(9). Let t(b) = 2*b**3 - b**3 + 5 - 5*b + 0*b**3 + 4*b**2. Calculate t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1032 + -8.8968. What is the smallest value in -4, -15, v?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 18}. Give prob of sequence coco.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**3 - 11*v**2 - 4*v. Let s(u) = 11*u**3 + 23*u**2 + 9*u. Let o(d) = -4*s(d) - 9*x(d). What is the third derivative of o(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 7343850?\nAnswer: 7343850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/7)\/(928\/812)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -472 (base 13) to base 10\nAnswer: -769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 277 = -62 + 39 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyt when four letters picked without replacement from {p: 3, t: 11, y: 1}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987074 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -10 + 23 + -4 + 13 + 51.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4498894, -8997768, -13496638, -17995504, -22494366?\n\"Answer: 2*q**2 - 4498880*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17985976.3 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6688453 = 2*s - 20301371. Let z be s + -1 + 1 + -1 + 1. Let f = -41494912 + z. What is f rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -79*f**2 - 161*f - 9. Let b(h) = -40*h**2 - 79*h - 4. Let q(n) = 9*b(n) - 4*m(n). What is the second derivative of q(l) wrt l?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3623633?\nAnswer: 13, 278741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(-2 + (6*(1*sqrt(2736) + sqrt(2736) + 5 + sqrt(2736)) - ((sqrt(2736)*2 - sqrt(2736)) + -2)*-4)))**2.\nAnswer: 274560*sqrt(19) + 33116416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 83, 120, 153, 182?\n\"Answer: -2*i**2 + 47*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -32*i**2 - 956*i - 6622. What is t(-11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - 2 - (-9 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -85873, -86233, -86841, -87697, -88801, -90153?\n\"Answer: -124*m**2 + 12*m - 85761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*o - 29, -4*o - 12 = m - 29. Suppose 1 = -o*a + 6. Let x = -2 - 3. Are a and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6b5 (base 12) to base 8\nAnswer: -1751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43518602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(196)*1)\/((sqrt(2) - sqrt(200)*-2)*2).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/291 or -1?\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 214747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, 5, -5, 25 in decreasing order.\nAnswer: 119, 25, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1502.57 - -1502.36. Suppose 0 = 3*i + 2*i + 2*q + 5, -5*q + 2 = -2*i. Which is the second smallest value? (a) -0.4 (b) i (c) t (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from {s: 5, f: 1, d: 2, e: 1, o: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2432173 is divided by 5961.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(((k*(k*k**(1\/4)*k)\/k)\/k)\/k))\/k)\/(k\/k**(-4)))\/((k*k**(2\/9))\/k**(-6)))**(-27) assuming k is positive.\nAnswer: k**(1347\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.0600969601\nAnswer: -0.5600969601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, 1410, -1\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -24*u**2 + 0*u + 0*u**4 + 0 - 1\/15*u**6 + 1\/2*u**3 + 0*u**5. Find the first derivative of l(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5)\/a)\/(a\/(a*a\/(a*a**(1\/5)*a)))*(a\/a**(-3))\/(a\/(a*a\/(a\/a**(-4\/5))*a)))**7 assuming a is positive.\nAnswer: a**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125585 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 29*c**3 - 17*c**2 - 17*c - 17. Let u(w) = 10*w**3 - 6*w**2 - 6*w - 6. Give -6*g(j) + 17*u(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 595\/(-34)*102\/(-5). What is the remainder when (-294)\/(-8) + 0 + z\/(-476) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 0, 2*y = p + 2 - 3. Let l = y + 5. Suppose l*s - 2 = 14. What is the smallest common multiple of s and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 4*n - 6*n - 4*n + 3 + n**2 + 3. Give b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = 5. Let g(k) = x - 16*k**2 - 1. Let l(h) be the third derivative of -h**4\/12 - 1284*h**2. Calculate l(g(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -24*m**2 - 1076*m + 1488. Let w(k) = 20*k**2 + 1084*k - 1488. Let f(z) = 2*u(z) + 3*w(z). Suppose f(y) = 0. What is y?\nAnswer: -93, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 346. Let d(a) = -a**3 - 28*a**2 + 36*a + 238. What is the remainder when f is divided by d(-29)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 11:10 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4104\/(-186) + 22 - 3696\/(-15004)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 5*y**4\/24 - 5*y**3\/3 - 5*y**2. What is the tens digit of v(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n + 45. Calculate a(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 354184 - 241301. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7172473 greater than 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 - 2*j - 3. Suppose 4*k - 171 + 71 = 0. Let g(d) = -19*d**2 + 29 - 72 + k + 5*d + 25. What is -2*g(t) - 5*h(t)?\nAnswer: -7*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, a: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -12. What is the least common multiple of i and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1179869 and 58?\nAnswer: 68432402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/6))**4)**(-1\/34) assuming z is positive.\nAnswer: z**(1\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-70) + (-6)\/14. Let w = -34\/13 - -679\/26. Let m = w + -24. Are m and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 26 - 136 = -2*t, -142 = -5*r - t. Suppose -u + x = -2*x - r, 15 = 3*x. Suppose -a + 4 = -7. Calculate the greatest common divisor of a and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w + 4*w + 53*w**5 - 12*w)*(4 - 3 - 3).\nAnswer: -106*w**5 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-10)*1 + 4\/(-10). Factor 1\/2*q**4 + 0 - 1\/2*q**2 + q - q**n.\nAnswer: q*(q - 2)*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3\/2 + 11250990*o**2 - 45003951*o\/2 + 11250987 = 0. Calculate o.\nAnswer: 1, 7500658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/60 - f**4\/8 - f**3\/6 + f**2. Let m be c(-3). Sort m, 3, -3 in ascending order.\nAnswer: -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 360*i**2 + 5947*i + 2. Calculate u(-17).\nAnswer: 2943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 63565586 + -8922303\nAnswer: 54643283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4312250 and 750?\nAnswer: 12936750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15735*u - 196568?\nAnswer: 15735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1, -59, -1\/4, 4 in decreasing order.\nAnswer: 4, 1, -2\/11, -1\/4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7 + 4 + 3 - b. Let z(n) be the third derivative of -n**5\/120 + n**3\/6 + n**2. Let q(d) be the first derivative of z(d). Determine q(y(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708746361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (39 - 2) - ((32 - 19) + -10).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:43 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 26*h + 29. Let k be 14\/(-77) + 140\/(-77). Let y(x) = x - 3. Let t(l) = k*i(l) + 10*y(l). Differentiate t(b) wrt b.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(704) + sqrt(704))**2*-2 + 0 + sqrt(1584) + 4 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + 1 + 0)))**2)*5.\nAnswer: 180*sqrt(11) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 780 + -779.81. Let b = 13 + -13.09. Let w = b + m. What is the third smallest value in -3\/4, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 16386\/853?\nAnswer: 16386\/853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2673, 2647, 2595, 2511, 2389, 2223?\nAnswer: 2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -127. Suppose -5*v = -3*t - q, 4*t + 20 = -0*t. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 53*s**5\/30 + 101*s**4\/30 - 8*s**3\/15 + 201*s**2. Suppose p(l) = 0. What is l?\nAnswer: -4\/5, 2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 5*o - o)*(-4*o**3 + 4*o**3 - o**3)*(0 + 2 + 1).\nAnswer: -12*o**4 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293 + 127*y**2 + 2*y - 63*y**2 - 65*y**2.\nAnswer: -y**2 + 2*y - 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -310 - -314.78. Let f = o + -4.48. What is the nearest to 0 in f, 11, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107685 is divided by 53825.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 5, -10, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9 - 7 = 0. Solve p = t - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/70*-5 - 1.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-396))\/((-13)\/((-31941)\/182)).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/8)\/x*x)**(9\/7)*((x\/((((x**(1\/3)\/x)\/x)\/x)\/x*x))\/x)**(-5\/2) assuming x is positive.\nAnswer: x**(-1147\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.49, 0.1, 0.048029, -3\/4 in descending order.\nAnswer: 0.49, 0.1, 0.048029, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 11:40 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4126912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -91550653?\nAnswer: 1\/91550653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14778049 - -1?\nAnswer: 14778050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -399, -892, -1715, -2868?\n\"Answer: -165*h**2 + 2*h - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(47\/(4089\/(-3422)))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.4 from -28.23.\nAnswer: -34.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024 less than 310350850?\nAnswer: 310346826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (8 + -5 - 9). Let m(r) be the second derivative of b - 1\/3*r**4 - 2\/3*r**3 - 7*r + 0*r**2. Factor m(a).\nAnswer: -4*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 14*v - 3. Let f(a) = -a + 11. Let r be f(5). Suppose 2*b = -b - 51. Let p(l) = 5*l - 1. What is b*p(x) + r*o(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80337.\nAnswer: 3, 61, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/10 and 67\/129390.\nAnswer: 129390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 15882246 to the nearest one hundred thousand.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69 and 5?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20702 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19\/3, -4, 1\/7, 4 in ascending order.\nAnswer: -4, 1\/7, 4, 5, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4685.36667 to the nearest integer.\nAnswer: 4685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -101100?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 2*j**2 - j. Let b be m(-2). Suppose 4*i - r + 4 = 0, 2*r + 2*r = 4*i - 8. Put b, i, 4 in decreasing order.\nAnswer: b, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478, 477, 476?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7008, 6996, 6998, 7020, 7068, 7148, 7266, 7428?\n\"Answer: s**3 + s**2 - 22*s + 7028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*v + 2008*v + 138*v.\nAnswer: 2958*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c - 4*c**2 - 5\/6*c**3 + 0 + 1\/24*c**4. What is h(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-8)\/((-80)\/3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 27, 2, -4.\nAnswer: -4, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 850, 1001, 1252, 1603, 2054?\n\"Answer: 50*l**2 + l + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r + 13. Let a be t(-14). Let c = a - -1355\/8. Sort 2\/9, -1\/4, c in increasing order.\nAnswer: -1\/4, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l = 155. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j + 5. Let u(t) = t. Let h(m) = -s(m) - 3*u(m). Let q(r) = 16*r - 26. Determine 11*h(a) - 2*q(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13571785*n = -13571802*n + 68 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4872 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - -2200221120?\nAnswer: 2200222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - l + 6*l**2 - 19*l**2 + 18 as i*l**2 + n + u*l and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 5. Let r(w) = -191668*w. Give r(i(u)).\nAnswer: -191668*u**2 + 958340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -1544, -416 in ascending order.\nAnswer: -1544, -416, -14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -207*c + 8. Let s(r) = 9*r + 29. Let u be s(-4). Is v(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2260335 and 55?\nAnswer: 2260335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4416 and 3864.\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23100 (base 6) to base 10.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37526883?\nAnswer: 3, 257, 48673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127280193 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20468)\/510 + 1\/9 + 19\/855\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 11 = 23*h. Solve t = 5*m - 4, 5*m - 1 = m + h*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.826132 days?\nAnswer: 244177804800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124512076 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 - 4 + 4 + (-5*i**2 + 0*i**2 + 3*i**2)*(i**3 - 3*i**3 + i**3) + 3*i**5 + 3*i**5 - 4*i**5 - 96167*i**4 + 96167*i**4 + 146*i**5.\nAnswer: 152*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.2. Let n = h - 0.54. Let l = n + -0.06. What is the biggest value in -4, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -361 + 366. Sort p, 9, 0.07, -2\/9 in decreasing order.\nAnswer: 9, p, 0.07, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6526442396 minus 1.9?\nAnswer: -0.2473557604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, -6, -12 in descending order.\nAnswer: -1, -2, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*w + 6*w. Let q be 3 + 38\/(-9) - w\/(-36). Let s be 4\/24 + ((-3)\/9 - 0). What is the nearest to q in s, 5, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(128) + 0 + sqrt(128))*-1.\nAnswer: -16*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 640. Let j = -347 + o. Suppose -3*n = 5*s - j, 5*n + 4*s - 320 = n. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22210020022001 + -111?\nAnswer: -22210020022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*s - 214 = 0, -4*t + 2*s = 67 - 483. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 5:13 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142 and 2955495913?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 38?\nAnswer: 25\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16073 + 15937 = -34*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4661150.\nAnswer: 2, 5, 13, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-six fifths of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -3 (b) -1.1 (c) 115\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1037\/(-61) - ((3 - 2) + 10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/239018880 and 7\/2489780.\nAnswer: 239018880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 6*j**2 - 13*j - 15. Suppose 0 = 2*k + 61 - 19. Let l = k - -38. Calculate the remainder when x(-6) is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h + 8. Let k(o) = -3 - o - 1 + 5 + 0. Determine -6*k(y) + q(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 8 (c) -0.1 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 2. Let x be p(-1). Let b = 16 - x. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5 - ((-48)\/15)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.8 + 25.2. Let x = n - 30.96. Let g = -0.6 + x. What is g rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -21. Let n(a) = a + 2*a + 0*a + 2*a + d. Suppose 4*i - 5*s + 13 = -4*s, 0 = -3*i + 2*s - 16. Let k(j) = 11*j + 3. What is i*k(z) + 5*n(z)?\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11781 is divided by 692?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6433484\/7 or -919068?\nAnswer: -919068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 287449 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/7, 1\/4, -19, -7, 1174?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfh when three letters picked without replacement from {f: 2, s: 1, g: 1, z: 1, c: 1, h: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 15 + (-4 - 32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775066 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/42*-6 - (-352)\/(-18)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352597891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 6 = w - 9, 2*k = 5*w - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (9 - 25) + 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 1:42 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 12*g + 8 + 36*g. List the prime factors of q(3).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 29. Find the common denominator of -3 - (-3)\/(-48)*-57 and n\/20*-4 - (-1182)\/(-820).\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(2 + -5*(sqrt(720) - (sqrt(720) - (sqrt(720) + 1 + sqrt(720)))) + 1*-1*sqrt(720))*-1*5 + -2)**2.\nAnswer: 73920*sqrt(5) + 8712784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491 = -3*r + 934. Is r equal to 477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253.8959l to millilitres.\nAnswer: 253895.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192)\/sqrt(392))\/(((sqrt(972) - (sqrt(972) + sqrt(972)*-3 + sqrt(972) + sqrt(972))) + sqrt(972))*6).\nAnswer: -sqrt(2)\/756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415637378 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -41a0?\nAnswer: -4206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 61 = 4*c, -5*c - 4*m = m - 70. Let b = c + -5. Solve -b*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 5*d + 0*d - 3*d)*(d - d + d)*(-21*d + d + 0*d) to a*d**2 + h + y*d**3 + x*d and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 82691546, 165383089, 248074632, 330766175, 413457718?\n\"Answer: 82691543*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230864275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**4\/6 - 2*v**3\/3 + 3*v**2. What is the units digit of j(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-345)\/(-23)*(-7)\/35*1*-12\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/6 + 52*w**3 + 311*w**2\/6.\nAnswer: w**2*(w + 1)*(w + 311)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*a + 132*a - 1646 = 157*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 2*p + 2. Let b be h(2). Let k = 5 - b. Solve 5*s**3 + 0*s**3 - k*s**3 + 2*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30434640?\nAnswer: 2, 3, 5, 211, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(h**2 + 3*h**2 - 6*h**2) + 13*h**2 - 18*h**2 + 7*h**2 in the form c + n*h + a*h**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -44\/3*u**3 + 0*u**2 - 46*u - 32. Differentiate v(s) wrt s.\nAnswer: -88*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 33. Suppose -7*k = -3*k + a. What are the prime factors of k\/12 + 561\/9?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43 - -1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:29 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*w = -268, 3*t - 5*w - 324 = -110. What is the highest common factor of t and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 822428 = 4*a, 3*a = 2*r + 414272 + 202564. Let v be -1 + (-5 - -25611) - -5. Let y = a - v. Round y to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aka when three letters picked without replacement from akaaaaaaka?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -9\/2*o**2 - 3 - 8*o - 1\/3*o**3. Let u = -4 - 3. Determine t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 25 + 18 + 26 - 70 + 3*u. Let s(x) = x. What is z(s(q))?\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245194 - -2208971\/9. Let d = v - 247. What is the closest to 1\/4 in d, -0.3, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2166492 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205938 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*f + 19, -4*j - 17 + 93 = 2*f. Let d = 1 + j. Suppose 8*s = 16*s - 16. What is the smallest common multiple of s and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289903 - b - 580529 + 289877.\nAnswer: -b - 749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:48 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*z + 9, 4*z - 12 = 3*r - 8*r. Solve r*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b = -59*b + 795. Suppose 3*l = -5*z + 2637, -5*l - 529 = -z - 6*l. What is the remainder when z is divided by b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2249 + -2108. Calculate the least common multiple of 141 and w.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*r - 8117 - 5623, -3*m - 13712 = -2*r. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1640)\/6)\/((-8)\/(-36)). Find the common denominator of (-35)\/((-1)\/1)*1 and 2\/13 - (-1 - t\/52).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, 1 v, and 1 x when four letters picked without replacement from {j: 2, v: 1, n: 1, x: 2, l: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12757 - 3945. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*t + 11. Sort 2, t, 1, 19.\nAnswer: 1, 2, t, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27509*o**2*p - 30884*o**2 wrt p.\nAnswer: -27509*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Let z = -86 - -89.2. Let t = z - 0.2. Put l, t, 10 in ascending order.\nAnswer: t, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 91 = 3*k. Let r = 22 + k. Let t be 4 - 11*(r - -4). Round t to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 5. Let h be f(-5). Let i = -12 + h. Suppose 5 - 122 = -i*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-35))\/(28\/(-35))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 470753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1699*d - 123450 = -1714*d. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -15*k - 17\/4*k**4 - 13 + 0*k**3 + 0*k**2. Differentiate v(o) with respect to o.\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114 + -1?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-1*2\/4)\/((-5435)\/(-1087))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - x + 1. Let w(d) = -88*d**2 + 108*d - 4. Let z(i) = 4*f(i) + w(i). Find the second derivative of z(q) wrt q.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 14*v + 120 = 0. Let o(f) be the first derivative of -f**4\/4 - 4*f**3 + f**2\/2 + 17*f + 2. Let q be o(v). Solve -q*s = -2*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 926\/13 - 8591\/104. What is the common denominator of y and -11\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(84)*6)\/(sqrt(175)*-2*-5*2).\nAnswer: 3*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.34 + -0.235. Let n = -1.6 - j. Round n to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: c84a2 (base 14) to base 9\nAnswer: 816663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 30. Let m be r(10). Suppose m = -18*b + 17*b. Solve -n + b*n + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 2\/((-1)\/1). Let l(p) = p**2 + 2*p + 9. Let w be l(i). Let j = w + -6. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g. Let t(q) = 8*q - 1. What is f(t(i))?\nAnswer: -24*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -15*y - 12*y + 41*y - 16*y. Suppose 3*v - 5*v - 10 = 0, -2*r + 5*v + 31 = 0. Let a(l) = r*l - 9*l - 10 + 10. Determine a(x(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2555622 (base 8) to base 4.\nAnswer: 2231232102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 13*i. Let u(l) = -4*l. Let t be (20\/(-15))\/(4\/(-6)). Give t*h(a) + 7*u(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/((-7050)\/100)*((-2)\/30)\/1?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7469070*d**4 + 73157853 wrt d.\nAnswer: 29876280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - (-13)\/((-130)\/(-550)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiieibeiiiiobi. Give prob of sequence beb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9200 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-3) - 32\/(-20). Which is the nearest to 1? (a) 5 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 6*j - 6. Determine b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4472*j**2. Let q(a) = 3*a**2. What is o(q(u))?\nAnswer: 40248*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8737.09 kilograms?\nAnswer: 8737090000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16180 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(88) - ((2*sqrt(88) - sqrt(88))*4 - sqrt(88) - sqrt(88)))\/(sqrt(8) + 5*sqrt(200)).\nAnswer: -sqrt(11)\/26 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(264)\/sqrt(24))\/(sqrt(16) + sqrt(784) + sqrt(784)*-2 + sqrt(784)).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o - 33. Let v be y(-3). Solve 0 = 4*r - r + v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*t + 181*t = 359*t + 3*b + 4, 29*t + 3*b = -35*t + 256 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.4, 1\/10, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/7)*b*b*b**(2\/7))\/((b\/(b**5\/b*b))\/(b\/(b\/(((b*b**(-1\/3)*b)\/b*b)\/b)*b)))*(b**0)**(-30\/13)\/(b**(1\/3)*b)**(-36) assuming b is positive.\nAnswer: b**(164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18 - (-114)\/27)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -72, 0.097 in increasing order.\nAnswer: -72, -4, 0.097, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-221)\/(-1292))\/(-13)*-4.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkukkkkkkkkkktkkkkkk.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (2 - (1 - 3 - -2)). Put 0, s, -3 in ascending order.\nAnswer: -3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 5715574.\nAnswer: 11431148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {o: 2, x: 3, d: 1, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/7472 and -69\/4670.\nAnswer: 37360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7376 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -23, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let r = 1.9 - i. Let w be 2*(-39)\/(-30) + (-2)\/(-5). What is the closest to 0 in w, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22053 + 2?\nAnswer: -22051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/(3700\/(-1776))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7236, 7349, 7536, 7797, 8132?\nAnswer: 8541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8473 bigger than -8474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7266 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1232, 1358, 1484, 1610?\n\"Answer: 126*r + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0\/(y\/y**(2\/15)*y)*(((y**1*y*y)\/y*y)\/y*y)\/y**(1\/3) assuming y is positive.\nAnswer: y**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 280118444?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:32 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 110220100?\nAnswer: 110220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q - 46*q = -193936. Is q a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.42073 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106823146*n**2*z**3 + 3*n**2*z**2 - 85*n*z**2 + 5*n*z + z**3 - 777*z**2 + 11*z - 1 wrt z.\nAnswer: -640938876*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (342\/(-12))\/(15\/20*-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) 30826\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-54))\/(2\/6).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -451 - -750. What are the prime factors of k?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times -117?\nAnswer: 3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 25, -8*r + 140 = -3*r + 4*q. Suppose 3*m + 6 = 0, -20*f = -r*f - 5*m + 42. Calculate the highest common divisor of 559 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 15*g**3 - 3*g**3 + (g**3 + g - g)*(5 - 3 + 0))*(g**2 - 5*g**2 - g**2).\nAnswer: 75*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/9936731 and -53\/12775797?\nAnswer: 89430579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 33*u - 12*u - 9*u - 12*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9.1. Let k = y - -0.9. Let v = -1.2 - k. Sort 0.2, 0.4, v.\nAnswer: v, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 1, q: 1, e: 1}. Give prob of sequence eq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3039*p + 121729. Give s(-40).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l**2 + 19*l**2 + 12*l**2)*(-6*l + 5*l + 2*l)*(-2 - 3 + 6).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqnjn. Give prob of sequence jf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -236\/900039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-83)\/(-3))\/(-4 + (-25)\/(-6)). Find the second derivative of -71*o + p*o**2 + 831 - 831 wrt o.\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51666045463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + 6 = 3*s, s - 12 = -4*f. What is the common denominator of ((-9)\/(-12))\/f + -21 and 5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0*s**2 - 3*s**2 + 5*s**2. Let p(a) = 20 - 20 + a**2 - 3*a**2. Give m(p(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -117, -112?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 119 - 8*b + 239 - 120.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 12*y + 78. Let q be v(-17). Let u = -62 - -60. Is u + (-11732)\/(-8) - q\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 2 + (1 - -4). Suppose n - w = -0. Let h(a) = 82*a - 3. Is h(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000668513 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2827142 or -48061404\/17?\nAnswer: -48061404\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -687\/4 - -173. Let a = -0.74 - -32.74. Let t = a - 29. What is the nearest to 0 in c, -0.6, t?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.2, -4895, 9.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.821388581 to 5 dps.\nAnswer: 0.82139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-70)*20\/(-12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -z + 4*n, 2*z - z + 2*n + 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 391*n**3 + 384*n**3 + 8*n.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1280, 17 in descending order.\nAnswer: 17, 2, -4, -1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -645? (a) -0.05 (b) -5 (c) -836 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = 2*m - 3*l, 5*l + 350 + 265 = 4*m. Let p = -99 + m. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + -47 + 5 + -14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n + 140 - 4\/3*n**3 + 14*n**2. Factor w(a).\nAnswer: -4*a*(a - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((-7 - 33) + 20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 21*t - 22*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 23*f**2 - 96*f - 30. Let v be y(6). Suppose 0*w - 13*w = -897. Solve -w*m = -72*m + v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + z**3 + z**3)*(101*z**2 - 178*z**2 + 102*z**2) + (-2*z**2 + 2*z**4 + 2*z**2)*(-3 + 3 - 6*z) - z**5 + 6*z - 6*z.\nAnswer: -38*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2875 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:09 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 5. Suppose -94 = -5*x - 119. What is o(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001111111 - -1010110101000111?\nAnswer: 1010010011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34\/9 - -341\/90. Let d(f) be the third derivative of 2\/9*f**3 + 0 + 0*f + 1\/12*f**4 + a*f**5 + 2*f**2. Factor d(n).\nAnswer: 2*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 4:49 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 208, 435, 1048, 2239, 4200?\n\"Answer: 32*d**3 + d**2 + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -65*o + 5121. What is j(78)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(5 - 4 + 0)*(-5*x + 7*x + 2*x)*(-14*x**2 + 5*x**2 + 3*x**2) in the form h*x**2 + t*x**3 + a*x + o and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 7867.7528476.\nAnswer: 7867.4528476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1000001111000000110101110100?\nAnswer: -1000001111000000110101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 + 23*g**2 + 12*g - 11. Let p = -16411 + 16404. Calculate l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3491 in 71\/3, 4, -2\/65?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 2*m**2 - 4. Let p be k(-3). Let d be (-711)\/(-6)*(-8)\/(-12). Let l = p + d. Calculate the highest common divisor of l and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 24 = -20. Let n = s - 3. Let r be (-36)\/n*60\/(-27). Is r != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/360 + r**5\/15 - 2*r**4\/3 + 32*r**3\/9 + 21*r**2. Factor k(s).\nAnswer: -(s - 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5071700 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11, -485, 87?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a week in hours?\nAnswer: 3472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 8*z - 4. Let m = -23 + 22. Let l be (m - 8)\/(3\/2). Calculate r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -416\/3 greater than -139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/269782 and -8\/387?\nAnswer: 2428038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3131093.624 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93\/5 + 19. Suppose -4*y + 16 = 2*f, -4*y - 4*f + 26 = y. Suppose -2*x = y*n - 4, 4*x + 5 + 5 = 2*n. Sort i, -0.2, n in ascending order.\nAnswer: -0.2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00338 + -29?\nAnswer: -29.00338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 + 26*m**2\/3 - 16883*m\/3 + 44296.\nAnswer: (m - 113)*(m - 8)*(m + 147)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2436.764 decades?\nAnswer: 292411.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3 - 1\/2*u**6 + 0*u**2 + 3\/5*u**5 + 3\/4*u**4 + 0*u + 7. Factor m(k).\nAnswer: -3*k**2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**2\/2 - 4*x - 16. Give g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(16\/4) + -1294 - 5. Are k and -1296 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -51. Solve -5*c**4 + 82*c**o + 68*c - 80*c + 40 + 25*c**3 + 127*c + 23*c**2 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/17, 5, 2\/11, 1\/4, 1\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 2. Suppose 2*n = 3*r - 6*r + 28, -3*n + 45 = 5*r. Let f(u) = -3*u - 1 + 3 + 3 + 0*u. What is r*f(h) + 15*b(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 393919 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 6 = -3*v. Solve -4*b + 8 = 0, -4 = g - 4*g - v*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1787 - -1222. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 324664\/21 + ((-105)\/14)\/15. Let f = q + -15458. Find the common denominator of f and 35\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8687)\/(-28) - (-3)\/(-12). Suppose b + 3*b + 248 = -5*o, w = -5*b + 4*o. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, t: 3, m: 13}. What is prob of picking 4 m?\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*o - 13 = 0, -5*p + 3*o - 5*o = -20. Solve 1 = -v + p*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*m*r + 913*k*m - 13*k*r + 3*m*r - 362*m + 2*r + 19 with respect to k.\nAnswer: m*r + 913*m - 13*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {l: 3, r: 1, n: 2, m: 2, b: 4, a: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 8*v + 1. Let j be w(-8). Let t = j + 2. Suppose -u = 5*c + 5, 4*u = 4*c + 6*u + 4. Put t, c, 5 in decreasing order.\nAnswer: 5, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - s + 2. Suppose 7*v - 27 = 50. Let g(d) = d + 3. Let b be g(v). Suppose 58 = 11*x + b. Let f(i) = -2*i**2 - 2*i + 4. Give x*f(u) - 9*j(u).\nAnswer: u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.07 + 1.06919. Round y to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 6*o + 5. Let r be h(-6). Suppose 4*u - r*u = 0. Suppose q = 5 - u. Sort -3, q, 0 in descending order.\nAnswer: q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21 - -7 - -32) + -16. Let h(t) be the first derivative of t**4 + 3*t**3 + 6*t**2 + t - 2. Let n(m) = -m**3 - 2*m**2 - 3*m. What is d*h(c) + 9*n(c)?\nAnswer: -c**3 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102\/11 smaller than 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = -p - 0, p + 15 = -5*y. Let o be (-16)\/(-6) - y\/(-3). Suppose -o*u = -6*u + 12. Which is the second smallest value? (a) u (b) 2\/5 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8 - 4. Let t = u + 0.2. Let o = -4 - -1. Which is the nearest to t? (a) o (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**4 - 16*x**3 + 48*x**2 - 64*x + 34. Let a(l) = 5*l**4 - 16*l**3 + 48*l**2 - 64*l + 35. Let h(d) = -4*a(d) + 6*f(d). Factor h(q).\nAnswer: 4*(q - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19637 (base 14) in base 10?\nAnswer: -64337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 125 = -5*c, -3*n + 19 + 28 = -4*c. Solve -2*o - 3 = 5*z - n, 0 = -3*o - 4*z + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -20, -68, -156, -290?\n\"Answer: -k**3 - 11*k**2 + 26*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 12 = l, -3*s + 2*l = 6*l + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/3391168 and 97\/3391168.\nAnswer: 3391168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, -6\/7, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 + -404.22. Let o = -402 - l. Which is greater: o or -51?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -469*n**4 + 14131*n wrt n?\nAnswer: -5628*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {f: 3, w: 4, b: 9, v: 4}?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**3 - 6*d**3 + 0*d**3)*(-20 + 21*d + 20)*(-3 + 4 - 7) in the form j*d + k*d**4 + h*d**3 + y*d**2 + r and give k.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -146? (a) -6 (b) -0.5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + 10*n - 8. Let s(w) = -w**2. Let d(p) = g(p) + 5*s(p). Determine d(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 4*z**2 + z - 2. Let x be f(4). Let a(d) = 4*d. List the prime factors of a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 2226*y + 111456.\nAnswer: 3*(y - 688)*(y - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 + f**2 - f - 1. Let m be n(-1). Let k = -13 + 12. Let d be (2*1\/(-2))\/4. What is the closest to -1\/4 in d, k, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 8:15 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2397583566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**11)\/(i*i**(-8)*i))\/(i\/(i**(-3)\/i*i*i*i)*i)**(1\/16))**(2\/37) assuming i is positive.\nAnswer: i**(301\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/9 + 21700*v**3\/9 - 108368*v**2\/3 + 585116*v\/9 - 281710\/9 = 0. What is v?\nAnswer: 1, 13, 10835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 90 (b) -5\/12 (c) -89 (d) -0.3 (e) 100\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 4*l**2 + 2. Let g be c(4). Let o(b) = 3 - 10*b**g - 2*b + 5*b**2 + 6*b**2 - 2*b**2. Calculate o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1530035713?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8527914511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14 and 101\/95122?\nAnswer: 665854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 63*c**2 + 20*c - 127. Is r(57) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1542 times 1.27\nAnswer: -1958.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddde when four letters picked without replacement from {e: 4, d: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30655 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*p - 315, -16*z = -14*z + 3*p + 552. Which is smaller: -283 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-1300)\/(-8))*(-10)\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-21) + 660\/9. Let n = j - 44. Let x = 30 - n. Which is smaller: -3\/20 or x?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 14, h: 2, x: 1, g: 2}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.17028.\nAnswer: 0.8514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Let i be l(2). Let u(v) = -2*v**3 - v**2 - 2*v - 1. Let s be u(i). Suppose 32 = 4*y + 4*z, -5*y + s*y - 4*z = -27. Solve -w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8281 - -8307. Solve m = 45*q - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 15 - 8 + 8*c**3 + 0*c**3.\nAnswer: 8*c**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -2*h - 2*s, 2*h - 3*s + 2 = 0. Let n = -3.2891 + 3.3691. Which is the third smallest value? (a) 0.4 (b) h (c) -0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f. Suppose 58 = 3*y + 2*n, 5*y + 0*n - n - 75 = 0. Let i(m) = 16*m - 30*m + y*m. Determine i(u(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 0*k**2 - 3 + 2\/3*k**3 + 5*k. What is the derivative of r(l) wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3234.01 (b) -0.3 (c) -4 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 16 = -2*m, 0*k - 12 = 3*k. What is the lowest common multiple of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 + 338*h**3 - 5*h - 115*h**3 - 108*h**3 - 111*h**3 + 5 + 5*h**2 as w + z*h**4 + q*h**2 + r*h**3 + u*h and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.7817801, 2\/9 in descending order.\nAnswer: 2\/9, -1.7817801, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144\/335 - 2\/67. What is the second biggest value in 0.2, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - c = 3*c - 36, 0 = c. Suppose 0 = -2*m - p + 60. Solve -5*n = -m*n + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -6*n**2 + 21*n\/5 + 9\/5 = 0.\nAnswer: -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -0 - 29 - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 + 1. Let u(v) be the first derivative of -1\/3*v**3 + 0*v**2 - 1 + 0*v. What is u(x(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 27 + 51 = 5*s, -5*s + 3*w - 24 = 0. Sort 2, s, 88 in descending order.\nAnswer: 88, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/z**(1\/2))*z)*z*z**(1\/3))\/(z**0)**11)\/(z**(-2\/3)\/z**(-4)*((z**(1\/3)\/z)\/z)**(-8)) assuming z is positive.\nAnswer: z**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g + 16. Let t be 7 - (-1 + 54\/9). Solve 28 = -4*z + 3*c, t*c = -4*z - c - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*o = 0, -13*o = -5*y - 9*o - 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/95)*y**(-46))\/(y\/(y**(-44)\/y)*y\/(y\/y**(-24))) assuming y is positive.\nAnswer: y**(-6367\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262 + 273.7. Let k = -6.7 + v. What is the nearest to 0.14 in -1, k, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18726429.\nAnswer: 3, 6242143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01079256681 to 5 dps.\nAnswer: -0.01079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 99812010 divided by 1\nAnswer: 99812010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/54)\/(-1))\/((-12)\/27).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b - 6. Let h(v) = v + 1. Let u(y) = 6*h(y) + z(y). Let j(i) = -10*i**2. Calculate j(u(r)).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 23, -1 in increasing order.\nAnswer: -60, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4 + 7. Let i = -37 - -39. Suppose 3*u = z + 4*z + o, i*z - 1 = -u. Solve 0 = 3*f - z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -201*n**2 - 145*n - 231. What is the derivative of q(g) wrt g?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(i - 1 + 1 + (-11 + 5*i + 11)*(-2 + 0 + 4) + 5*i + 0*i - 4*i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25339 is divided by 122.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 19*c**3 - c**2 - c + 1. Let i = -7 + 8. What are the prime factors of d(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -18 (b) 2\/3 (c) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 3*v + 1. Let x = -84 + 87. Let r be w(x). Which is smaller: r or -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-3)\/24) - (-675)\/(-90). Let p = -0.3 + 0.4. Sort b, -3\/4, p, 4 in increasing order.\nAnswer: -3\/4, p, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*y - 5, -3*d + 4 = 5988*y - 5989*y - d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344*h**2*w**5 - h**2*w**2 - 24*h**2*w + h**2 + h*w wrt w?\nAnswer: 6880*h**2*w**3 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 337848?\nAnswer: 1689240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12534690, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*5)\/sqrt(5).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -95, -2 in increasing order.\nAnswer: -95, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 32\/(-7)) + (-116 - (-276 + 163)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/13182 and 41\/17418?\nAnswer: 38267346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 - 408*d**3 - 8500*d**2 + 33600*d + 98000 = 0. Calculate d.\nAnswer: -70, -35, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 163?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - -2 - 85\/17. Suppose -4*v + 29 = a*t, 2*t - 6*t + v + 7 = 0. Solve 4*r + 8 = -2*x, r - 4 = 4*x + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*-6*(((1*sqrt(76) - sqrt(76)) + sqrt(76))*3 + sqrt(76))\/(5*sqrt(12)\/sqrt(3))*-5)**2.\nAnswer: 14183424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90376153 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -93338 <= -93347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1225 - 1222. Solve 5*z + 77 = -3*x + 99, 0 = -y*x + 4*z - 23 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f**2 - 1. Let a(x) = -x**3 + 9*x**2 + 3*x - 4. Let o(n) = -a(n) - 2*s(n). Determine o(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -32.\nAnswer: 15\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**6 + 1934*h**3 + 4624*h**2 + 2*h - 2.\nAnswer: -840*h**3 + 11604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6113, -5586, -4707, -3476, -1893, 42, 2329?\n\"Answer: 176*w**2 - w - 6288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47464, -47462, -47460, -47458, -47456?\n\"Answer: 2*b - 47466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 times 154?\nAnswer: -8316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (-48 - 1) - (-4 + 2 + 42 + 5)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 = -4*f - 2*g, -51*f = -52*f - 5*g + 145. Let j = 34 + -19. What is the highest common divisor of j and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -341, -447, -593, -773, -981?\n\"Answer: n**3 - 26*n**2 - 35*n - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 7 + 64 + -56?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let p(d) = -9*d**2 - 95 + 95 - 5*d. Let o(w) = 10*w**2 + 6*w. Let a(l) = -5*o(l) - 6*p(l). Determine a(y(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - (-6 + 7))\/2. Let k = 6 - 2. Put f, k, 5 in increasing order.\nAnswer: f, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**3\/6 + 2*y**2 - 3*y. Does 2 divide w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-9) - (-76)\/(-54)*3. Let d(n) = -19*n - 49. Calculate the smallest common multiple of d(a) and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -79. Let u = -0.01 - 0. Which is the nearest to 0? (a) u (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1161340429 divided by -15908773\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 19*o + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 365*s**3 - 19*s**2 + 3*s - 128. Is b(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386528770 rounded to the nearest 1000000?\nAnswer: -387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) - 126\/36. Let f(l) be the third derivative of l**6\/120 + l**5\/15 + l**4\/6 - l**3\/3 + l**2 - 44*l. What is f(q)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/89444 and 53\/134166.\nAnswer: 268332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v + 2*k - 5, 4*v + 3 = -k. Let p be (v\/(-4))\/((-2)\/(-12)). Let w = 0 + 0. What is the closest to w in p, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2136710*z + 2136715*z + z**2 + 2*z**2 - 8546846*z + 2136712*z + 2136709*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 702679 + -164?\nAnswer: 702515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6921 + -6921. Put 43, -38, x in ascending order.\nAnswer: -38, x, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 60*f**2 + 111*f - 54.\nAnswer: 3*(f - 18)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 v when three letters picked without replacement from vhvvvvvvvvhvv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 15*d. Let h be y(1). Let o(s) = s**2 - 14*s - 15. Let b be o(h). Let k be 1*(-3)\/(-27)*3. Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 6\/5, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 17*x + 1131. Let o be d(27). Calculate the highest common divisor of o and 4059.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 5*w + 229 = -7*c, 5*w = -5*c + 565. What is the greatest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z = 56*z - 106*z - 28 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 10. Suppose -o*g = -5*g. Suppose g = -3*x + 4*x - 14. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2967 + 44497\/15. Let q = 0.5 - 0.2. What is the biggest value in 4, s, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248696 and 6092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1003 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 355.999438 - 356. Round q to 5 dps.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -21*u + 13. Let c be (-904)\/(-6) - (9 + (-175)\/21). Let h = 144 - c. Let a(l) = 11*l - 7. What is h*q(n) - 11*a(n)?\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40033*c**3 - 305*c + 10213541 with respect to c.\nAnswer: -120099*c**2 - 305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 16*j**2 - 701*j - 8603. Let z be g(-13). Suppose 0 = -o + 3 + 7. Suppose c + 5*d = o, -2*d - 3*d - 5 = 0. Solve -z*p - c = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4130243 (base 5) to base 3\nAnswer: -10102200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2 - 20*b**2 - 7*b**2. Let t(q) be the first derivative of -2*q**3\/3 - 865. Calculate r(t(u)).\nAnswer: -136*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:31 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)\/(x**(-1\/4)\/x))\/(x**(-5))**(17\/2) assuming x is positive.\nAnswer: x**(89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) 1603\/6 (c) -1.5 (d) 4 (e) 3\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - sqrt(51)*2)\/sqrt(3) - (0 + sqrt(425))**2.\nAnswer: -425 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 1984206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5 + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148558 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3020825968 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, c: 4, z: 9}. What is prob of picking 2 z and 1 c?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(-1 + sqrt(99) + sqrt(99)) + 2*(-6*(sqrt(99) + 1))**2.\nAnswer: 216*sqrt(11) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -350\nAnswer: -3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/252 and 4\/22 + 1311458\/(-3183840) + 2\/10.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 + 212*a. Let i(s) = 2*s. Give i(o(b)).\nAnswer: 10*b**2 + 424*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 8*k + 9. Let v be l(-3). Let t be (15 - v)\/(12\/(-64)*-1). Solve s - t = 4*g, 5*g - 4*s + 40 - 9 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4301 + 1061 + 1064 - z + 1073 + 1090.\nAnswer: -z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + -2 + sqrt(76) + 0)*4)**2*5.\nAnswer: 16000*sqrt(19) + 160000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -18866681*x - 172. Let r be p(-12). What is r rounded to the nearest 1000000?\nAnswer: 226000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3*(1 - 10). Let l(g) = -3*g**2 - 3. Let v(j) = -3*j**2 + j - 2. Let r(x) = y*v(x) - 2*l(x). Find the second derivative of r(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) 0.3 (c) 2\/31451 (d) 0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 204\/238 - 12016\/13692. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - 2*b**2 - 3*b + 6. Let y(k) = 4*k**3 + 3*k**2 + 3*k - 7. Let u(m) = -3*s(m) - 2*y(m). Calculate the remainder when 17 is divided by u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -10*l + 7*l - 135, -4*l = -3*s + 194. Let f be 0 + 233\/(-10)*2. Let x = f - l. Put -0.3, x, -2\/11, 2 in ascending order.\nAnswer: -0.3, -2\/11, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 67. What is t(62)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - ((sqrt(385)*2)\/sqrt(7) + sqrt(55)))\/(-2*sqrt(1100)) + -5 + (-1 + ((2 + sqrt(320))*1)**2)*3.\nAnswer: 961*sqrt(5)\/10 + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**2)\/x)**(1\/18)\/(x**(-2)*x)**(-47)*(x**0*x**(-3\/7))\/((x\/((x*x\/x**(-5\/3))\/x))\/(x*x*x**(-3\/8)*x)) assuming x is positive.\nAnswer: x**(-21685\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/9, 2\/7, -2\/5, 1335?\nAnswer: 1335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28436 + -28410. Do g and -161 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j**5 - 165*j**4 + 990*j**3 - 1416*j**2 + 633*j - 9. Let x(y) = y**5 + y**4 + 3*y**3 + y - 1. Let q(w) = -n(w) + 9*x(w). What is m in q(m) = 0?\nAnswer: 0, 1, 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15019 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c + 8 + 10*c - 12*c + 4.\nAnswer: -18*c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43689.01953 rounded to the nearest ten?\nAnswer: 43690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 3*t**2 - 7*t - 17. What is h(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 16*q = 12. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/6*33\/93 and -67\/14?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 780 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12824)\/(-128240)*-10*(-5)\/(-12).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*a + a + 3404*a**2 + 25*a + 6*a to the form g*a + v*a**2 + w and give v.\nAnswer: 3404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 1 = -11. What is the units digit of (8\/(-28))\/(a - (-4174)\/(-2086))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:25 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 30.8915 * -0.311\nAnswer: -9.6072565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8840*q + 0 + 0 - 8864*q - 16920*q.\nAnswer: -16944*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -4. Suppose -3*v = 2*v - r. Solve 5*w = v*a - 19, 2*w = 5 - 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264*h**3 - 6857*h + 3605*h - 240*h**3 + 3949*h wrt h?\nAnswer: -3024*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(2448) + 4) + ((3 + sqrt(2448) + 4 - sqrt(2448)) + sqrt(2448) - sqrt(2448))**2).\nAnswer: -45 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbbbbbjjbbbbjbbjjj. Give prob of sequence bbbb.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 5*m + 6. Let l(s) = -4*s**2 - 5*s - 7. Let k(n) = 5*c(n) + 4*l(n). Let h be k(6). Let z be (-1 + 6)*h\/10. Sort z, -1, 1 in decreasing order.\nAnswer: 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6912)*-3)**2.\nAnswer: 248832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/2 - 9*j**2 + 25*j\/2 + 57 = 0.\nAnswer: -19, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 6:28 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (0 - (-1 + 1)). Suppose 3*c + 2*c - 20 = x. Let y be -3 - (-1 + 0 + 1). Sort c, y, -2 in increasing order.\nAnswer: y, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.93 - -10. Let y = v + -0.17. What is the second biggest value in y, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/620 and 111\/131200.\nAnswer: 4067200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.016984, -0.2, 2\/5, 1\/776 in increasing order.\nAnswer: -0.2, -0.016984, 1\/776, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdd when three letters picked without replacement from dsdd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -16798.552\nAnswer: -16801.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*z + 197. Let j = z + 133. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 25 - 157*i + 929*i)*(-3*i**2 - i**2 + 5*i**2)*(0*i - 4*i + 0*i) to b*i + o*i**2 + w*i**4 + f*i**3 + d and give w.\nAnswer: -3088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -7, 154, -3, 57, -2 in descending order.\nAnswer: 154, 57, 7, 4, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -360 + 722 - 8645*a - 19748*a - 362 + (-a - 1 + 1)*(-2 + 5 - 5) as j*a + o and give j.\nAnswer: -28391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 187?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11224 (base 5) to base 8.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/42, -285, 1?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3941, 2.32, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3 - 7) + 0)\/(-62). What is the nearest to p in 1, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.286132253 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 130, -1\/11, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 19*m - 17*m. Suppose -m*f - 43 = -2*f. Let y = -85\/2 - f. Which is the second biggest value? (a) -2\/15 (b) 2 (c) -1\/9 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30420 - -305505?\nAnswer: 235045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 118\/8 - 4\/(-16). Suppose -y = -3*x, -d + x - 15 = -3*x. What is the smallest common multiple of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126864 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/987281 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 38 - 52 - 41)*(0*p - 3*p + 2*p) in the form g*p + m and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/5 + 196\/70. Suppose l*a - 4*x = 2850, -36*a = -38*a - 5*x + 2823. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 29, 16, -33, -130?\n\"Answer: -2*r**3 + 25*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5586 is divided by 426.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 times 23?\nAnswer: -3082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 + 1) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*t + 27, 2*t + 6*o + 9 = 3*o. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001314979 to seven decimal places.\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + 3.6. Let t be (-3 - 2) + 10 + -7. What is the second smallest value in t, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23052 and 34680.\nAnswer: 3918840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 273029 + -44?\nAnswer: 272985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 39 - (-1 + -1). Let h(b) = -12*b - f + 42. Let k(w) = -6*w**2 + 3*w**2 + 2*w**2. Give h(k(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 9 + (-1 - 2). Solve 4 = 2*p - c*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*6275\/70 - 4\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 4*v**2 + 3*v - 9. Suppose 9*d + 16 = 13*d. Let q(c) = c**3 + 6*c**2 - 2*c - 2. Calculate the remainder when q(-6) is divided by o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-28)*(-236)\/413.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -176788*j**2. Let p(y) = 18*y**2. Determine p(q(w)).\nAnswer: 562571944992*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u. Suppose u*h + 6 = 2*h. Suppose -2*d**2 + 4*d**2 - 6*d**h + 0*d + 4*d = 0. What is d?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = 3. Suppose 78 + 82 = b*l. Let o = 77 - l. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 54, 85, 120, 159?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**(-5\/3) assuming o is positive.\nAnswer: o**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 7:38 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(-1)\/((-1)\/40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 2*p - 3*p + 14 + 2*p. Let g be b(-10). Suppose -n - 4*n - 5*y + 5 = 0, 5*n + g*y = 7. Solve n*v - 15 = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176217949 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-28) + ((-96)\/(-2640) - 2480\/7700)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**5\/20 + 17*j**4\/12 - 7*j**3\/3 + 5*j**2 + 2*j - 52. List the prime factors of z(8).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -2\/3 (c) -1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r**2 + 144*r + 24. Let f(d) = 11*d**2 + 96*d + 17. Give 7*f(p) - 5*h(p).\nAnswer: -3*p**2 - 48*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = 5*u - 32225 + 32210, 0 = 5*u - 11 - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/(-119) - (-374)\/7. Suppose 3*w - s = -2*z, -5*z = -w + 5*w - 59. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/15 or 185983?\nAnswer: 185983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -21*x. Let v(u) = 106*u - 1545. Calculate -5*s(c) - v(c).\nAnswer: -c + 1545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2064 - 35212*m - 2064 - 19286*m - 22655*m + (-m + 3*m + 0*m)*(-2 + 3 - 3) + 4*m - 2*m - 3*m.\nAnswer: -77158*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 256, 254, 252, 250, 248?\n\"Answer: -2*a + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/350 and (((-102)\/(-119))\/((-30)\/(-14)))\/((-5)\/6)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -487.0994717404.\nAnswer: -483.0994717404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341226812 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*t**5 + 31*t**3 + t**2 + 5558*t wrt t.\nAnswer: 7080*t**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - ((sqrt(153) - -1*sqrt(153)) + sqrt(153)))*2 + sqrt(153) + (sqrt(153)*2 - sqrt(153))*-4)*3)\/(1*sqrt(81)\/(4*sqrt(54)\/sqrt(6))).\nAnswer: -84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13)\/w)\/(w*w**36) assuming w is positive.\nAnswer: w**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9883275\/623 + 15864. Let k be (61018\/(-7476))\/((-1)\/1). Let p = k - x. What is the common denominator of p and 77\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 56 = -4*q + 4*u, 5*u + 290 = 4*q. What is the smallest common multiple of 560 and q?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846074 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 83. What is the highest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 881346894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**2\/2 + 1. Let r(p) = -12*p - 11*p + 70 + 42*p - 9*p - 69. Determine -6*a(t) - r(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 10. Suppose 3*n + 2*n = 0. Suppose n = -j*k + 56 + 12. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*b = -4*b - 10, -5*j + 25 = -3*b. Suppose -j*p = -7*p + 6. Suppose 0 = -p*k + 12 + 33. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 5759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 3*b**2 + 24*b - 36.\nAnswer: -3*(b - 2)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**3\/6 - z**2 - 3*z. Let d(t) = -t**3 + 8*t**2 - 7*t + 1. Let o be d(7). Let h = o - 4. What is p(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(228)*2)\/(-1*sqrt(12)*2) + 3)**2.\nAnswer: 18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15993 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3264)\/(-6800))\/(6\/5)*(-25)\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6*m - m - 13, -m = -5. Let y(c) be the second derivative of 3*c + 1\/6*c**3 + n*c**2 + 0. What is y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h - 7. Let i be z(-6). Let j = -29 + i. Suppose -2*f - j = -5*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**6\/30 - 13*x**4\/12 - x**3\/6 + x**2\/2 - 2*x + 2. What is the second derivative of w(k) wrt k?\nAnswer: -12*k**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 1. Suppose -4*z - 6 = -3*z. Let o = -12 - -17. Let k = 6 - o. Let i(n) = 7*n + 6. Determine k*i(f) + z*a(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -520344 (base 7) in base 2?\nAnswer: -10101101110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -689874000 rounded to the nearest one million?\nAnswer: -690000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 8*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 22*r**2 - 6*r - 132. Determine o(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 12 (b) -8 (c) 1\/2 (d) -0.4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5\/4 + 4295*q**4\/4 + 6431*q**3\/2 - 15034*q**2 - 51512*q - 34336 = 0 for q.\nAnswer: -4292, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3857184 by -6.\nAnswer: 642864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 10. Let u be l(10). Does u = 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 + 13*o**2 + 6*o - 10. What is u(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/4*(-468)\/2106*-18.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*p**2\/9 - 11962096*p\/3 - 5520968\/9.\nAnswer: 2*(p - 1380242)*(13*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 13 = i - 0*i, 41 = 4*u + 5*i. Suppose -5*j + u = 19. Let o be (-4)\/6*j\/1. Which is greater: o or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.03 (b) -8103 (c) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 14. Let q = -32.18 + 31.98. Which is the nearest to q? (a) u (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 10 - 7)*(1 - 3 - 2*a + 1 + (a + 3*a - 6*a)*(-2 + 3 + 1) - 184 + 184 + 22*a) as q + z*a and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002210 (base 5) to base 3.\nAnswer: 210212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Let l(q) = y*q**2 + q**2 - 3*q**2 + 19 - 4*q**2 + q**3. Does 10 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -497, -4 in decreasing order.\nAnswer: -4, -23, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483296 is divided by 163?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*b + 263*b - 35 = 0, 33 = 2*k + 5*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.9, 5, 1\/4, -2.\nAnswer: -3, -2, 1\/4, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*g - 28. Let o(z) = -3 + 3 - 7 - 3 + z. Calculate o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 = -2*k, 2*k - 5*k + t = -11. Solve -2*u = -4*u - k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + 4*o + 8. What is the remainder when y(-4) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 9*v**2 + 10. Let g be b(9). Solve -g = -3*i - 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*a + 2)*(-6*a**2 + 6*a**2 + 12*a**3) + 3*a**4 - a**4 - 3*a**4.\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 4 - 11 - 9 + 5*c. Let q = -49097 - -49090. Determine o(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqqn when four letters picked without replacement from {n: 4, q: 6, b: 9}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 80?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134745?\nAnswer: 3, 5, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52411707.\nAnswer: 3, 5823523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 4*g**2 - g. Let p(j) = j**2 + 5*j - 12. Let l be p(4). Let i = l + 21. Suppose 2*v - 39 + i = 0. What is b(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16*c**2 - 5*c. Let n(t) be the first derivative of -11*t**2\/2 + 989. Determine r(n(f)).\nAnswer: -1936*f**2 + 55*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/27449696 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267488*t + 2*t**3 - 267488*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**4 - k + 2. Let i(t) = -2189*t**4 - 9689*t**2 + 2*t - 4. Let n(b) = -i(b) - 2*v(b). Find the third derivative of n(w) wrt w.\nAnswer: 52584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 + 7*j + 12. Let z(h) = -5*h**2 + 6*h + 11. What is -4*x(o) + 5*z(o)?\nAnswer: -o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.67 * -5.82.\nAnswer: -32.9994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7830*m**3 - 9032*m + 9032*m.\nAnswer: -7830*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -21*t**3 - 93*t**2 + 78*t + 36. Let l(d) = -21*d**3 - 92*d**2 + 79*d + 34. Let y(p) = -2*k(p) + 3*l(p). Factor y(m).\nAnswer: -3*(m - 1)*(m + 5)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(90\/(-60)). Which is the biggest value? (a) -1\/9 (b) o (c) -5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1704033 microseconds in weeks?\nAnswer: 0.00000000003004365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/32 and 29\/212360.\nAnswer: 849440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from bozozzzo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -24, -0.26, 395, 4.\nAnswer: -24, -0.26, 4, 23, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, 1, -24, -9 in increasing order.\nAnswer: -24, -9, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 6*w**2 + 5*w + 1. What are the prime factors of k(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7654703034 and 425?\nAnswer: 7654702609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1365 (base 10) to base 2\nAnswer: -10101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddn when three letters picked without replacement from dbbdbbbbnbbbnb?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-3 + (6 - 4)). Suppose b = -5*j - 3*k + 4741 + 151, -5*j + 3*k + 4868 = 0. Is 61 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -4, 4, 269 in decreasing order.\nAnswer: 269, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 257459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 15*q**2 - q - 19. Is z(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 92, 179, 260, 335?\n\"Answer: -3*c**2 + 96*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.3 + -15. Which is the biggest value? (a) 3\/7 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229\/4 - 57. Let k = -2053\/8 + 257. Suppose 2*d - 71*l + 8 = -67*l, 0 = -5*d + 3*l - 41. What is the biggest value in d, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002173369 to 6 decimal places.\nAnswer: -0.002173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27256724561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 9*h = 2*i - 9, -5*h - i = -27. What is the least common multiple of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1019*t + 40731. Determine b(-40).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (19198\/580 - 7)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.21 times -1470.9?\nAnswer: 26785.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-5 + (-26 + 29 - (-11 - -4)))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k - 101. Let a be v(-25). Suppose -10*j = -a - 156. What is the least common multiple of 3 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87\/104 - -3893\/2184. Calculate the common denominator of 103\/12 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-75)\/18*(-4 + -2). Find the first derivative of 28 + 32 + j*u**4 - 40*u**4 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 44*d - 43 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i. Suppose i = -5*d + 31 - 11. Solve -w = -4*k - 0*w - 15, 5*w = -d*k - 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(525))\/(sqrt(108) - sqrt(108)*-2 - sqrt(3) - sqrt(3)))**2 - (-1*(2*sqrt(847))**2 + -3).\nAnswer: 217199\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*c - c + 463, -c - 3 = 0. Let j = 105 + h. Suppose t - j = -6. Solve n = -0*n + t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*3\/6 + 4541073. Suppose -5*p + 1858925 = -r. Suppose -3*f + 2*f - p = 0. Round f to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:59 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3 - 13 = 0. Suppose p*q - 14 = -4. Determine a so that 0*a + a**3 - 7\/2*a**q + 0 + 0*a**2 - 5\/2*a**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 165\/16 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 329714000 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 65168*o**3 + 114592*o**3 - o**2.\nAnswer: 179760*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k**2 - 2*k - 1. Calculate b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*2*7\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) + (-2 - (-1956)\/14). Suppose 9*x = 11*x - h. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000703233482 to 7 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/(-5) - (1 + -1 + -1). Let n be (-6)\/20*((-1542)\/d - 0). Which is smaller: n or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/126*-9*10. Suppose 0 = v*c - 5, 0 = 2*j - 2*c - 11 - 43. Calculate the highest common divisor of j and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 + 35623*l**2 - 35623*l**2.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 259501 less than 259497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/5 in -0.2, -2\/29, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 14*m - 33*m. Let o(p) = 6822*p + 5. Is o(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 68*a - 206. Let r(z) = -1395*z. What is m(r(v))?\nAnswer: -94860*v - 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 195912481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 0.7 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/627792 and -9\/47806.\nAnswer: 33272976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0398571 - 55753\nAnswer: -55753.0398571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 8:00 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7412156 + -230?\nAnswer: -7412406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozp when three letters picked without replacement from {l: 2, o: 1, z: 1, p: 2, y: 8}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 - 2*n**2 + (0 - 2*n + 0)*(1329 - 1329 - 144*n).\nAnswer: 286*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854.551 tonnes in nanograms?\nAnswer: 2854551000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2842 and 50759541?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1255 - 1260 - (2 + -48 + -3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**2 + 0*a**2 + 2*a**2 - a**2 - 3*a**2 + a**2 + (4*a - 2*a + 0*a)*(0 + 0 - a) - 2*a**2 + 2*a**2 + a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38786 + 12*m - 7*m - 38796.\nAnswer: 5*m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 156 + 36 - 47*m**2 + 37*m**2 - 62*m**2 + 150 wrt m?\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -37 - 0 - (-12)\/(-12). Let y be (-2)\/9 - b\/9. Solve -y*n = -2*x - 28, 0 = 5*x - x - 3*n + 31 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1462547?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7405 is divided by 218.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -52*c**2. Let w(x) = 4*x + 3. What is w(s(j))?\nAnswer: -208*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2776*r*t - r*z + 18*r - t*z - z + 2 wrt t?\nAnswer: 2776*r - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56287*n**3*x + 94526*n**3 + 14*n**2 + 2*n*x + n + 564*x + 7 with respect to x.\nAnswer: 56287*n**3 + 2*n + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 1. Let m(x) = -2*x**2 - 1. Let h be m(-1). Let r(c) = 0 + 3 + 2*c + 0*c. Let v be r(h). Determine b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284*q**6 - 18*q**5 + 13821*q**2?\nAnswer: -34080*q**3 - 1080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 5*y**5)*(-214 - 1515 - 969 - 1104).\nAnswer: -19010*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 8*q + 3. Let z be t(-7). Let r(u) = -u + 12. Let n be r(z). Suppose -a + 17 = -2*a - 5*j, -14 = 4*a + n*j. Which is greater: a or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 23*o**3 - o - 4. Let h(z) = -72*z**3 - z - 45. Let d(q) = 215*q**3 + 2*q + 121. Let c(x) = 4*d(x) + 11*h(x). Calculate 6*c(f) - 17*s(f).\nAnswer: 17*f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:30 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4762*d**3 + 2*d**2 + 25*d + 58. Let f(s) = -9525*s**3 + 5*s**2 + 50*s + 148. Let k(x) = -5*b(x) + 2*f(x). Find the second derivative of k(n) wrt n.\nAnswer: 28560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:02 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9683 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -41 + -32 + -36 + 101 - -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 309309 and 1634919?\nAnswer: 11444433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137845, 275690, 413535, 551380, 689225, 827070?\nAnswer: 964915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4680996.\nAnswer: 2, 3, 390083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*o**3 - 61*o**3 + 8*o**3 + (-2*o + 0*o + o)*(-4*o**2 + o**2 + 4*o**2) - o**2 + 13 - 13 + 3*o - 2*o**3.\nAnswer: -88*o**3 - o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 3\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/10)\/((-560)\/(-3500)). Let p be (-3)\/3*-2 + 3. Suppose -35 = -2*i + 5*f, 4*i = -i - p*f. Solve -i*s + w*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 + 9*b + 10. Suppose -6*h + 9 = -5*h - y, -2*h + 22 = -3*y. Let j be q(h). Solve -4*v + 10 = j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -320, 0.141 in descending order.\nAnswer: 0.2, 0.141, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10920000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 + 0\/2. Suppose -5*x + 216 - 71 = s. Calculate the remainder when x is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -48 + -23 + 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 1}. What is prob of sequence ee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.12 times -1?\nAnswer: 4.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1754\/(-4))\/(3\/(-6)) - -6. Let f = 888 - o. Solve -f*h = -2*b - 29, 5*b - 3*h + 17 = -8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 0*f - f)*(-2*f + 0*f + f) + 2*f**2 + 4*f**2 - 4*f**2 + 6*f - 7*f**2 - 4*f + 0*f as s + k*f**2 + g*f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 11817237 to the nearest 10000.\nAnswer: 11820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {n: 3, b: 1, x: 1, p: 1, c: 3, a: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -195361\/56 - -48849\/14. Let k = -1.5 + 1. What is the closest to x in 2\/11, k, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3865, 2\/23, 0.5 in ascending order.\nAnswer: -3865, 2\/23, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 658, 1006, 1354, 1702?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/169, -2\/49, 12\/11?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48689 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - t + 1, 6*t = 1164*q - 1162*q + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(6\/(-6 - -4)). Let f be 1 + 0 - (-5)\/(-1). Let p = -0.3 - -0.4. Which is the closest to y? (a) p (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/((-7)\/28). Find t, given that 0*t - 8 + 0*t**2 - 14*t**k + 32*t = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 8*a + 2. Let k be z(8). Suppose -c + 3 = k*c. Is 3\/5 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 + 6\/3. Suppose -4*q = q - g*w - 128, -q - w = -20. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 101100110110011101111101?\nAnswer: -101100110110011101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-2 - (0 - 2)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*r + 28020 - 7758, -2*r = n - 20297. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.026, -1\/8, 3\/2, 3.\nAnswer: -0.7, -1\/8, 0.026, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -4 + 3 + 11 + 23 + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/6 + 71*i**3\/3 + 138*i**2 - 28*i - 17. Factor f(u).\nAnswer: 2*(u + 2)*(u + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {l: 2, e: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/1439640 and -157\/26201448?\nAnswer: 131007240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**3 + 9*x**2 - 8*x + 6. Let b be n(4). Suppose -2*c - 90 + b = 0. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2. Let q(i) = 32*i - 39. Let a(u) = 9*u - 13. Let f(k) = 7*a(k) - 2*q(k). Determine t(f(b)).\nAnswer: 5*b**2 + 130*b + 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -305237\/706 or -432?\nAnswer: -305237\/706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29c1b (base 15) in base 11?\nAnswer: 91a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g + 2 + 116*g + 325*g - 5 - 168*g.\nAnswer: 325*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}