diff --git "a/data/dm_maths/full_data/1085_11255.jsonl" "b/data/dm_maths/full_data/1085_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1085_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put 21180.2, -0.2, 0.5, 0.254 in descending order.\nAnswer: 21180.2, 0.5, 0.254, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, s: 4, e: 3}. Give prob of sequence eis.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 8*x + 4. Let s be r(4). Solve 2*j = -4*d + 8, -3*d - 5*j + s = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 8:13 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -68. Let y(c) = c**3 - c**2 - 3*c + 5. Let x be y(p). Suppose -f = -k - 170, 0*f - 5*f = x*k - 834. What is the greatest common factor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 5*d + 674. Let v be b(0). Let q = v + -661. What is the remainder when 322 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -811 + 967. What is the remainder when 183 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 33*c + 400 = h + 3*h, -h - 52 = -4*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:38 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -1.155017889.\nAnswer: -4.155017889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 - 2*x - 2*x - 7*x**2 + 4*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w, -6*t = -4*t + 3*w - 153. Suppose -56*f - 8114 + 10466 = 0. What is the smallest common multiple of f and t?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/23)*v\/(v**(-6\/7)*v*v)*v)\/(v\/(v\/(v\/(v\/(v\/v**(4\/11)*v))))*v**(-2)\/v) assuming v is positive.\nAnswer: v**(5550\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus 15935?\nAnswer: 15950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*p + 2, -333 = -3*s - 5*p - 327. Let a be (-1)\/(-2)*(-18)\/(-7). Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.40921 and -0.119153?\nAnswer: 0.528363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 46. Let t be i(-13). Suppose -x - 2*x + 9 = 0. Suppose -x*j + 5*h = -58, -h = -j + 7 + 9. Solve k - 5*z - 18 = 0, -5*k = 3*z - j + t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 11010110?\nAnswer: -11001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38d6837 - 0?\nAnswer: -38d6837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzvovzvmwvw. Give prob of picking 1 w and 2 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -492 divided by -3.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + sqrt(98) + 1 + 2)**2 + 4*sqrt(98)*-6.\nAnswer: -84*sqrt(2) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -9 + (-7 - -8) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -37, -136, -325, -634?\n\"Answer: -5*i**3 - 4*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113\/((-2373)\/(-1890))*(-78)\/(-195)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g + 4. Let y(x) = -g*x**2 - 13*x + 2*x + 11*x. Let a(b) = -9*b - b**2 + 24*b - 15*b. Determine y(a(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -61 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11053406.9 + -33.\nAnswer: -11053439.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*u - 3102, t - 6005 = -4*u + 211. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 3 + 38*c - 6*c. Let x(u) = -21*u - 2. Give -5*g(m) - 7*x(m).\nAnswer: -8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 52815.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10657086, 10657154, 10657282, 10657476, 10657742, 10658086?\nAnswer: 10658514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1592102810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = b + 4, 0*h - h = 5*b + 16. Put h, 2, -2 in decreasing order.\nAnswer: 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -181, -200, -227, -262, -305, -356?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = 45 - 861. Suppose 5*r + 3*l = 93, 4*r - l - 3*l = y. What is the highest common divisor of 126 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647 (base 15) to base 9.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + t = -12, -4*h = -3*h - 4*t - 10. Suppose 0 = -4*g + 3*j + 5, -4*j - 3 = -5*g + 3. Calculate the remainder when g is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + q**2)*(-33*q + 6*q + 73*q).\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -3 - 3) + 4)*(-23829)\/1222?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 7*g + 6. Suppose 0*x = -5*x + 25. Suppose -x*p = 5*l - 15, 0 = -p - 0*p + 5*l + 33. Suppose -3*a = -p*a - 20. Give k(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 22. Let m = w - 16. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - t - 1. Determine q(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -9*j**4\/4 + 6227*j**3\/2 - 1042156*j**2 - 231744*j = 0.\nAnswer: -2\/9, 0, 568, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*g + 6*g + 58. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -23. Sort r, 1, 5, 0.\nAnswer: 0, 1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 262 + -267. Suppose -k + 2*k = -3. Which is the smallest value? (a) -3\/7 (b) p (c) 0 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.62158 + 157.35662. Let n = -169 + y. Round n to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1.71?\nAnswer: 0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19780 is divided by -18*7*(-16)\/32.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -74*w + 36. Let z be k(6). What is z rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**2 + 1240*j - 96100 = 0.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -19. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 389820633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 77 = -3*w. Is -2\/3 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 216*n**3 + 752*n**2 - 2400*n.\nAnswer: 4*n*(n - 2)*(n + 6)*(n + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 - -507\/7. Let z be ((23031\/(-2))\/(-3))\/231. Let o = d + z. Is o smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2\/9, -20, 0, 8184, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -101, -76, -15, 82?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -0.2. Let l = -765 - -773. Which is the nearest to l? (a) -3 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - b - 1. Let v be 0 + 3\/(-1 + 4). Let c = v - 2. Let j be s(c). Solve -j*y - 6 = -4*q, 0 = -y - 2*q + q - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -647 - -41?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k + k - 6*k - 11*k in the form h*k + f and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3 + x**3 + 2 - 4*x**3 - 2*x. Calculate c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 3. Suppose -4*c + 69 = 17. Suppose -c*b + 8*b = -50. Suppose 1 - 6 = 3*t + 5*v, 0 = 4*t + 5*v + b. What is y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64605.3 and -0.05.\nAnswer: -3230.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66.234777851 + 326.234777165. Let r = -260 + y. What is r rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -17*g - 32. Let y be a(14). Let i = y - -439. Suppose 5*l + i = 974. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 2\/25 (b) -1.2 (c) 388\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -85. Let d be ((-12)\/40)\/(12\/z). Which is the third biggest value? (a) -0.09 (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/37, 2\/7, 0 in descending order.\nAnswer: 2\/7, 0, -11\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*d**2 + 894*d**2 - 392*d**2 - 526*d**2 + 244*d**2.\nAnswer: -223*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2028 and -30.\nAnswer: -60840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*t**3*u + 8*d*t**3 - 27732*d*t*u + 22*d - 177*t**3*u - t**2*u wrt t?\nAnswer: 6*d*u + 48*d - 1062*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*j = 7 - 0, 0 = -4*g + j + 32. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 34, 41, 50?\n\"Answer: b**2 + 2*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**4 + 6*f**3 - 11*f**2 + 3*f + 3. Let q(g) = 4*g**4 + 10*g**3 - 21*g**2 + 5*g + 5. Let r(b) = 5*j(b) - 3*q(b). Factor r(i).\nAnswer: -2*i**2*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + (-1 + sqrt(847) - sqrt(847)) + -2)**2 - 5*-1*4*sqrt(847)).\nAnswer: -1100*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81*y**2 + 44*y**2 + 173*y**2)*(15*y - 2*y + 8*y) in the form z + d*y**2 + a*y**3 + h*y and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 41910093?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25312\/416559 + -2\/12623. Sort 3, f, 1 in ascending order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 37, 1\/2, 5, -0.5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83cd3 - -5?\nAnswer: -83ccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5 - 4*t**4 + 6*t**3.\nAnswer: -2*t**3*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5613970029157 take away 0.4?\nAnswer: 5613970029156.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.8 minus 7.908?\nAnswer: 23.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3323475*d - 3863642.\nAnswer: 3323475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82146632118 - 82146630695.99998574. Let j = a - 1422. What is j rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 5. Let m be s(-5). Suppose 8*g - 6 - 9 = 1. Solve m*u - 10 = 4*q - 55, 35 = -5*u + g*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t + 3. Let h be m(-5). Let x = -69 - -74. Find the third derivative of -3*y**5 + 8*y**x + 20*y**5 + h*y**2 wrt y.\nAnswer: 1500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*n = 638*n - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -9. Let p = -17 + 32. Let w = k + p. Let y(g) = 15*g**3 - 13*g. Let u(r) = 7*r**3 - 6*r. Give w*y(l) + 13*u(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -2)\/2 - -40. Suppose -3*b + 6 = 0, g + g + 2*b = r. What is the remainder when 50 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150999 rounded to the nearest 1000?\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3306, 3040, 2772, 2502?\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111373266 divided by 12346?\nAnswer: 9021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(612))*5.\nAnswer: -5 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/(1\/(-4)*2044\/(-219))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 - 32069493*o**3 - 577250145*o**2 - 2597624559*o = 0. What is o?\nAnswer: -10689813, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(190)\/(1*sqrt(10)*2))**2 - ((-4*(sqrt(76) + sqrt(19)))**2 + (sqrt(38) - sqrt(266)\/sqrt(7))\/sqrt(2)).\nAnswer: -10925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4668 is divided by 95?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 2*b - 8*b + 10. Let u be i(0). Solve u*p = 9*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 5784*h - 222680.\nAnswer: 2*(h - 2930)*(h + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(2*(-2)\/4). Suppose -4*n + 26 - 6 = m. Suppose 0*i + i = o - 3, 0 = 3*o - 5*i - n. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - 2*b + 7\/3.\nAnswer: -(b - 1)*(b + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -118, -92, -18, 128, 370, 732, 1238, 1912?\n\"Answer: 4*h**3 - 2*h - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 times 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/8 and -59\/166.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 3*y - 2*d + 43, 2*y = -3*d - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 21*h**2 + 4*h + 3. Is 23 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1369616254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -166 - 272. Let o = -51 - x. What is the second derivative of -o*v**2 + 21*v + 12*v - 80*v + 22*v wrt v?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.72 and 0.40752.\nAnswer: -1.1084544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -68 + 12*y - 115 + 183. Let o(l) = -l**2 - 58*l. Calculate u(o(h)).\nAnswer: -12*h**2 - 696*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:57 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*t + 36*t + 14*t)*(2*t + 3*t - 7*t + (0*t - t + 2*t)*(0 - 2 + 3) + 1 + 2*t - 1).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -11. Let m(i) be the second derivative of i**4\/12 - 3*i**3\/2 + 3*i**2 - 7*i. Determine m(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 24*o = 22. Suppose 3*p + 4*i = 24, -3*i = 3*p - 6*i - 24. Solve 0 = -2*b + 4*d - 4, -o*b + 2*d - p = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/12)\/5)\/(181885\/(-145508))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184\/27 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.6 + -1.4. Let v = k + 9. What is the smallest value in v, 5, -1\/10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59637 is divided by 918?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 991877 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.019 - 22.019. Let p = 23 + k. Let b = -1.005 + p. Round b to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j. Let p(a) = -a**2 + 7*a. Let d(i) = -2*i. Suppose -7*c + 6*c - 2 = 0. Suppose -5*m = -3*m + 14. Let k(o) = c*p(o) + m*d(o). Give k(y(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*1*-2 - ((1*sqrt(550) - sqrt(550))*-6 + sqrt(550)))\/((sqrt(12) + -3*sqrt(108))\/(sqrt(6) + sqrt(24)\/(sqrt(16) + sqrt(4)))).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*4*(-6)\/120\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521*t = 497*t + 96. Calculate the highest common divisor of t and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {k: 2, w: 1, c: 1, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2475*n**4 + 970?\nAnswer: -9900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3052 + 3504?\nAnswer: 6556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let b be r(0). Suppose -z + 4*k = 3 - 10, -4*k = 4*z - 8. Let f be 2*z*(-8)\/(-12). Solve b = u + f*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*j + 3*p + 4 = 21, -9*j - 2 = -4*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 9. Let x(c) = 6*c**2 + 6. Let g(y) = 2*y**2 + 2. What is n*g(d) - 5*x(d)?\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 1, o: 6, i: 3}. Give prob of sequence iooe.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1678.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = d - 10, -3*k + 5*d - 14 = 0. Let q = k + 8. Let y be -3*1\/(-3)*q\/(-1). Which is smaller: -7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2. Let s(z) = -11*z**2 + 3*z. Let p(r) = 6*q(r) - s(r). Let j(w) = -4*w**2 + 2*w. Calculate 6*j(n) + 4*p(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/60*(-45)\/(-60). Which is the fifth smallest value? (a) 0.4 (b) h (c) 20 (d) 1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1190, 474, 3276, 7216, 12294, 18510, 25864?\nAnswer: 34356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 23\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4045 (base 14) to base 2\nAnswer: -10101100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.6838cm to nanometers.\nAnswer: 776838000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27817203 divided by -3\nAnswer: -9272401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1984 and -4538 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 3*a**5 + 2*a**5 + (4*a**3 - 6*a**3 + 0*a**3)*(-7*a**2 + 16 - 16) + (-2*a - 2*a + 6*a)*(0*a**4 + 4*a**4 - 5*a**4).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 0*l**4 + 0*l**4)*(9*l - 11*l + 3*l + 2)*(2 - 6 - 2).\nAnswer: 6*l**5 + 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 - 57*c - 269*c - 4*c**3 - 105 + 70*c + 56*c**2 + 266 = 0. Calculate c.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 652, 980, 1310, 1642, 1976, 2312?\nAnswer: 2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j = 121*j + 48*j - 1288 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 75.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/87 - 17080\/4060?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 676\/383?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d + 1. Let q(u) = 11*u + 3. Give -3*f(k) + 4*q(k).\nAnswer: 2*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:07 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -117.76\nAnswer: -35.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-492)\/(-14) + 44\/56*1664\/(-1144)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627314226 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2282)\/(-4) - 2\/4. Let v = 13532 + -13522. Calculate the greatest common divisor of v and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(363) + 0)**2.\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 5*c = 2*m + 15*m - 3*m + 5, -21 = -m - 4*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 521?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46178 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5000921011 to the power of 1\/2, to the nearest integer?\nAnswer: 70717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 85. Calculate the greatest common divisor of g and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 2*h**2 - 2*h**2)*(1 - 2 + 0) + (-5*h - 2*h + 6*h)*(-2 - 2*h + 2) + 4*h**2 + 2*h**2 + h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 742675744 + 0.\nAnswer: 742675744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 2:31 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2483286, 2483228, 2483072, 2482770, 2482274, 2481536, 2480508?\nAnswer: 2479142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j - 6. Determine c(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 4.\nAnswer: 93\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, f: 1, u: 1, x: 2, l: 1}. What is prob of sequence slu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/468 and -32\/16137.\nAnswer: 839124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 123 in 14\/2115, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t - 4*t + 27*t - 1 - 12*t in the form v + o*t and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 275890494 to the power of 1\/2, to the nearest integer?\nAnswer: 16610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3527 - -14469. List the prime factors of q.\nAnswer: 2, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 18852\/887?\nAnswer: 18852\/887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -291, -5, -705 in ascending order.\nAnswer: -705, -291, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000383494482 to seven dps.\nAnswer: 0.0003835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z + 20. Let d be (z\/(-10))\/(3\/30). Let g = -9 - -21. What is the highest common factor of d and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*-17*3 + 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/19*-1 + (-660)\/(-228). Solve 19 = s*y + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (45 - (27 + (7 - 45)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(85)\/sqrt(5))*-4 + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/1)\/((-60)\/(140\/7))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 878, 929, 980, 1031, 1082, 1133?\n\"Answer: 51*o + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1680*f = 1661*f - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147881281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + b**2 - b + 3. Determine o(-4).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2 + 0 + 1). Let r be (-46)\/(-14) + f\/7. Let h be 1\/(-6) - r\/6. Which is the closest to h? (a) -2\/5 (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*y = -3*y - 1105, 0 = -x + y - 229. Let t = x + 323. Calculate the remainder when t is divided by (54 - 44)*((-6)\/(-4) - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.0553702.\nAnswer: 0.2214808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102000011111 (base 3) to base 13.\nAnswer: 777b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*o + 881*o - 391*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010118 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/294 and 145\/2448.\nAnswer: 119952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*(-4)\/(-96) + -15 + (-60)\/9.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10702 - 10701. Solve 14 = -4*n + 5*z, 5*n - k = -24*z + 21*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25861937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 53*a + 169. What is the remainder when 127 is divided by g(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2626*b + 2099*b + 237*b + 261*b.\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0407 and -1331.53?\nAnswer: -54.193271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -5*g - 78. Let j(r) = -r**3 - 3*r**2 - 11*r - 19. Let u be j(-5). Let w = g + u. Calculate the greatest common divisor of 115 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-285 - -267 - (-1 - -2)) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70003 + 70003 + 45*u + 3*u**2 - 3*u**2 - u**3.\nAnswer: -u**3 + 45*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 6. Let v = 13 - j. Calculate the least common multiple of 6 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/6010565 and -139\/127861110.\nAnswer: 1406472210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*a**3 + 3*a - 1706 with respect to a.\nAnswer: -87*a**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 6*t)*(-2*t + 5*t + 2*t) + 0*t + 2*t**2 + 0*t + (-2 - 9*t + 2)*(2 - 8*t - 2).\nAnswer: 99*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.5 (c) 0 (d) 2.5 (e) -4\/109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - u + 52 = 0, -j + 2*j - 4*u + 40 = 0. Let g = j - -27. Suppose 4*p - 8 = 2*y, -p + 0*p = -y - g. Is p >= 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z**2 - 2*z + 6. Calculate the remainder when 16 is divided by r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 14*u**2 - u + 18. Let l(r) = r**3 - 5*r**2 + 5*r - 11. Let s be l(5). Let v be y(s). What is the highest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 92*l - 512. What is i(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 plus 396889681?\nAnswer: 396889680.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 - (55 + -74)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 632\/237 - (-20)\/(-6). Which is the smallest value? (a) 2 (b) 0.05 (c) -1 (d) g (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/454685 and 51\/350.\nAnswer: 4546850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 1601600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 24*q - q**3 + 27 - 79 + 7*q.\nAnswer: -q**3 + 30*q - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 804 = -12*c + 94*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(242) - (sqrt(242) + -3 + sqrt(242)*-2 + sqrt(242))))**2 + 4 + (sqrt(2) - (sqrt(6)\/sqrt(3) + 0))**2*-5.\nAnswer: -44*sqrt(2) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 14*q**2 + 38*q - 85. Suppose 12*b = -k + 16*b + 20, 2*b + 82 = 5*k. Let h be d(k). Is 10 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/30 - 3\/(-9). Let l = 34032 + -34039. Which is the second smallest value? (a) -2 (b) l (c) i (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:29 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25199 is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/12 in -204, 0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2 + (0 - 1). Is 1\/18 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 48 = -4*r, 3*t - 4 = r. Solve n - 3 = g, t*g = -4*n - 3*g + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eea when three letters picked without replacement from emaeaeaapvee?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*r, 2*c + 2*r = 6*c - 294. Suppose -4*o = -5*s + 82, 2*s + c = -6*o + 3*o. Let b = -17 - o. What is the lowest common multiple of 8 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156334134 + -1?\nAnswer: 156334133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 3*g + 19, -282*o + 3*g = -285*o + 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -40. Which is the closest to -1\/3? (a) 4 (b) -1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 168*f - 7. Let d(b) = 3*b**2 + 169*b + 8. Let a(t) = -3*d(t) - 4*v(t). List the prime factors of a(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/12 - 8*j**3\/3 + 24*j**2 - 127*j. Factor o(q).\nAnswer: (q - 12)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 596 (b) -24.9 (c) 4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45.9 and -0.0813673.\nAnswer: -45.9813673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-63)\/(-6) - 3\/(-6). Let y = z - 7. Let m be (y - 1)\/(-1) + 3. Solve 3*w - 1 + 4 = m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 22*u**2 - 4*u + 26. Give v(4).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 3:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.44 (c) -8\/5 (d) -248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) -2 (c) -0.3 (d) 572\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(10)\/sqrt(2)) - sqrt(30))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 16*g**2 + 155*g - 27. Give z(23).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5 - 309*d**4 - 22434*d**3 + 222734*d**2 - 387165*d - 632025 = 0. Calculate d.\nAnswer: -159, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/20 - u**4\/2 - u**3 + 5*u**2\/2 - 5*u. Give d(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/24 + 5*v**4\/24 + 5*v**3\/12 + 7*v**2. Factor o(p).\nAnswer: 5*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) - sqrt(576)*-1 - sqrt(576)) + sqrt(9))\/(4*(sqrt(3) - sqrt(48))) - -1*(2*sqrt(3)*5 + ((-1*sqrt(24))\/sqrt(8) - sqrt(3))).\nAnswer: 29*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -810, 0, -2\/7, 0.2, -0.3 in descending order.\nAnswer: 3, 0.2, 0, -2\/7, -0.3, -810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36092723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50749*d**4 - 15550*d**2 wrt d?\nAnswer: 1217976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45*7\/(-2205) - (-1 - 58\/14). Let b = 2 + -3. Let r = b + 5. Solve r*w - y = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2794 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 68745, 66645, 64545?\n\"Answer: -2100*y + 70845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007009297641 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 3, z: 5, d: 1, b: 1}. Give prob of sequence hd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 3, s: 5}. What is prob of sequence wtt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*s**3 - 297*p*s**2 + 2*p*s - 8455*p + 26971793*s**3 wrt s?\nAnswer: -12*p + 161830758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -1 - -6) + -3 - (-1 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 - 16. What is the derivative of 108*w + 30*w**3 - z*w - 5*w**3 - 101 wrt w?\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18*(297\/5 - (-152 - -212))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0113376377 to 6 dps.\nAnswer: -0.011338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**2*r**3 - 35*d*r**2 + r**3 + r wrt d?\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12034, -3, 2, 14, -5, 1 in ascending order.\nAnswer: -5, -3, 1, 2, 14, 12034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 87205*s - 4. Suppose -19 + 15 = -4*f. Let n be w(f). Let m = n + -28201. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(50)*-4 + -5)**2 - (sqrt(882) - 4*sqrt(882)*2)**2.\nAnswer: -35993 - 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + -1 + (-2 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(2\/35)\/h))\/(h**(-3\/14)\/h))\/(h*h**(1\/3))**(1\/3) assuming h is positive.\nAnswer: h**(2339\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j + 81. Let x be u(-20). Which is the closest to 2? (a) 1\/3 (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -17317.\nAnswer: 259755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -j + 25*d - 20*d, 18 = 3*d. What is the highest common factor of j and 713?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 1:32 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-75))\/(4\/(80\/6))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -75, -112, -167, -246?\n\"Answer: -f**3 - 18*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1203? (a) 3 (b) 1\/4 (c) -0.4 (d) -0.5 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + h**3 - h**3)*(-5 + 2 + 4) + 3*h**3 + h**3 - 2*h**3 + (1 - 1 - 2*h)*(-h - h**2 + h) - 4*h**3 + 3*h**3 + 2*h**3 - 3*h**3 + 0*h**3 + 0*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 - 0 - (3 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2765*f - 4842*f - 91*f - 5084*f - 3266*f to the form a + n*f and give n.\nAnswer: -10518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**(2\/5)*(q*q**(2\/5)*q)\/q**0 assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -149*m - 25. Let u(o) = 296*o + 58. Determine 7*g(r) + 3*u(r).\nAnswer: -155*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 - (7 - 3) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 6*w + 354. Let o = w - -438\/5. Which is the biggest value? (a) 4 (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/(((m\/(m*(m*m**(4\/9)*m)\/m)*m)\/m)\/m))\/(m**(-3))**(-3) assuming m is positive.\nAnswer: m**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:38 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((5 - 13) + 2 + 4 - 4) - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-72 - -2) + (-300 - -294 - (2 - (11 + 0)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.035, -1\/4, 378, -1?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26452717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0 - 2 - 5 - 3*d + 1. 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: In base 11, what is -3 + -184145?\nAnswer: -184148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20973 - 5*r - 20973 + r - 4*r + 2*r - 7*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*o + 70*o - 25 = 5*v, -2*o - 3*v - 15 = 0. Is -4\/929 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diif when four letters picked without replacement from {d: 1, m: 1, i: 2, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*a**2 - 2716*a - 2160.\nAnswer: -4*(a + 135)*(5*a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 963521 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 43?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 13*r - 25. Let n = r - -44. What is the remainder when n is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1629647\/36 - -45271. Let o = 252\/5 - 487\/10. Find the common denominator of o and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -62.378\nAnswer: -31.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 6 - (0 + 2*5). Let u = -11 - o. Let k be ((-2)\/(-15) + u\/9)*-3. Sort 3, -5, k, 1 in decreasing order.\nAnswer: 3, 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32100654 and 135216.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 - 5*l + 26*l**2 - 20*l**2)*(-3*l + 3*l - 2*l).\nAnswer: -2*l**3 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*o - 42*o + 37*o = -332572. List the prime factors of o.\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -36 (b) 0 (c) -1\/3 (d) -34 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 238\/10 - (-4)\/(-5). What is the derivative of q**2 + 1007*q - x - 1054*q + 0*q**2 wrt q?\nAnswer: 2*q - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6232 and 2132.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784728*q - 1569463*q + 784722*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 - (-29)\/4. Let b = -6 + t. Let g(p) = p**2 - 1. Let i be 25\/8 - (-14)\/(-112) - 1. Let f(c) = -4*c**2 + c + 1. Determine b*f(z) + i*g(z).\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdddddddjuud. What is prob of sequence ju?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**2 + 832*k + 43264 = 0.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100791 is divided by 550273.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - a**3 - 7*a**2)*(-8*a**2 + 108*a**2 - 3*a**2).\nAnswer: -97*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/306*17)\/(3*-1). Which is the smallest value? (a) 847 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u. Let v(c) be the first derivative of -c**2\/2 - 15. What is -g(a) - 4*v(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 786 + 1628 = 722 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -1a12?\nAnswer: -1a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153212 is divided by 144?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6840 and 192204.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 2. Let a(q) = 3*q**2 + 2. Let w(u) = -6*u - 20. Let z be w(-4). Determine z*g(k) + 3*a(k).\nAnswer: -3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 + 355. Let v be t + 10*(-12)\/(-30). Let a = v + -235. What are the prime factors of a?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2838 and 14370.\nAnswer: 6797010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071 a factor of 230357596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*t - 740 = -5*k - 904, 5*t - 4*k + 73 + 16 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6110, -2, -37 in ascending order.\nAnswer: -6110, -37, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = l - 4*x, -23*l - 4*x - 6 = -26*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -w - 7. Let b(f) be the first derivative of -1 + 2*f**3 - 49\/20*f**5 - 1\/2*f**w - 21\/16*f**4 + 0*f. Suppose b(u) = 0. Calculate u.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 382 = -4*n, -2*i + 48 = -n + 137. Calculate the smallest common multiple of n and 7.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -30070*u**2 - 13*u + 30069*u**2 - 2 - 12. What is v(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-3)\/(-6)) - -7. Let t(r) = r**2 + 13*r + 52. Let o be t(-16). Suppose 0*z + o = l*z. What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -576, -563, -348, 69, 688, 1509?\nAnswer: 2532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855*z**2 + 292*z**2 - 8*z**3 + 4*z**3 + 281*z**2 + 282*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0394564 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8985337 is divided by 363?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/3, 5\/9, 1.2 in ascending order.\nAnswer: 5\/9, 2\/3, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 97. Let z = -0.11 + 0.61. Sort t, z, -5.\nAnswer: t, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.03 - 17.02995165. What is n rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 87, 301, 599, 981, 1447?\n\"Answer: 42*y**2 + 88*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*o**2 - 117*o**2 + 82*o**2 + 225*o**2 as w*o + r + x*o**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-3))\/((-18)\/27). Suppose -3*h = k*y - 3595 + 508, -3*h - 2448 = -4*y. What is the remainder when y is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 268\/1911 + 2\/147. Let j = 3.5902 - 3.5002. Is l bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*q - 82 + 4*q + 80)*(-3 + 2 + 0) to the form x*q + n and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30915*p + 14559 wrt p.\nAnswer: -30915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t + 1169. Let g(l) = 9*l. What is y(g(j))?\nAnswer: 36*j + 1169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -840 + 447. Let l = u + 458. Calculate the remainder when l is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13628 - -1212890\/89. Let u be -4 + (-4 - -1) + 2. Let l = u + 6. Are l and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u**2 + 3*u + 3 + 3*u**2 - 3 + (-u**2 + 3*u**2 - u**2)*(1 + 0 - 2) + 4*u + 2*u**2 - 4*u)*(4*u + u - 3*u)*(-8 + 3 - 5)*(0 - 3 + 1).\nAnswer: 200*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/39? (a) -4\/135 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -278. Let t = -234 - n. What is the closest to t in 0.1, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2245432 + -212?\nAnswer: -2250044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 44 (c) 17.5654\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 43. Let l be c(9). Let t = l + 64. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110111100100 (base 2) in base 6?\nAnswer: -201204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -87 (b) -3 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208 divided by 552?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 10*k - 266. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + 1\/(-2)*-7. Calculate the greatest common divisor of 118 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = d + 1, 3*v - 5*d = -20 + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37392*t + 36093*t - 73492*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let h be (-3)\/6*26 - (96 - 105). Sort h, 3, -0.2, b in decreasing order.\nAnswer: 3, b, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-12)*11448\/1272.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/2662389 and 76\/1479105.\nAnswer: 13311945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -42, -2\/3 in increasing order.\nAnswer: -42, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 67, 121, 197, 295, 415?\n\"Answer: 11*q**2 - q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.037 - -0.02. Let h = 0.017 - v. Let w = -39 - -38.8. Is h less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 252140570?\nAnswer: 252140613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyq when three letters picked without replacement from {v: 1, q: 2, i: 3, d: 4, f: 1, y: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c5d4 - -30?\nAnswer: -5c5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6*(-9)\/2. Let b(t) = -t - 3. Let s be b(f). Let u be (-135)\/9*(-1)\/(-3) - -8. Solve s*h + 4*w = -26, -u*h - 7*w - 31 = -2*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-3 - -1) + (479 - 488).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 5*c**2 - 4*c**2)*(-1 + 1 - 9*c**2) + 2*c**4 - c**4 - 2*c**4.\nAnswer: -19*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/36*(-1)\/((-5)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18883 + 76295\/4. Is 191 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 33*b - 3. Let s(d) = 11*d. Calculate i(s(k)).\nAnswer: 363*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/5)\/(2\/10). Suppose d = s + 8. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.0473 nanometers to kilometers.\nAnswer: 0.0000000000460473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634 = 2*p + 1652 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -2. Which is the closest to r? (a) -6\/7 (b) 1\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7) + (-103 - -99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 961902415?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(36\/(-44))*-6. Suppose -4*b = 45 + 19. Let a = b - v. Let h(k) = k**2 - 5*k - 1. Determine h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/795 and -48\/66515.\nAnswer: 199545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318956875 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**9\/3780 - x**5\/30 - x**4\/12 + x. Let y(n) be the third derivative of t(n). Differentiate y(b) wrt b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:02 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 73 = -61. What is the remainder when 4 is divided by 6 + -1 + 1 + 9 + j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/4 - 37047*c**3\/2 - 37053*c**2 + 74094*c + 148200 = 0.\nAnswer: -2, 2, 24700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*j + 201 = -189, -3*z - 383 = -4*j. Let n = 159 + z. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7935 = -20*h + 435. Let z = h - -842. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10258667 less than 4265.6927?\nAnswer: 10262932.6927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 - 149. Let g = 5.6 - 6. Which is the biggest value? (a) g (b) m (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12226 + -7061. Does 132 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffffffvfffffk?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -392, -389, -386, -383, -380, -377?\n\"Answer: 3*n - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-42)\/120*4. Suppose -17 = -g + 4*i, 0 = 2*g - 4*i - 11 - n. Let k = -6 + 5. Which is the nearest to -0.1? (a) 0.12 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 2*w**3 + 2*w + (-4*w + 4*w + 2*w)*(w**2 + 2*w**2 - 2*w**2) + w**3 - 4*w**3 + 0*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1) + (-15)\/7. Suppose -11 = -4*w - 5*c - 2, w + 5*c = 6. Is f > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2152 (base 6) in base 12?\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 7*p**5\/2 - 89*p**4\/2 + 8*p**3 + 748*p**2 + 1192*p + 280 = 0.\nAnswer: -2, -2\/7, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 + 2963*c - 11868 = 0. What is c?\nAnswer: -2967, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - -5 - (4 + 2). Solve b*p + 3 = 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**17\/y)**(14\/11) assuming y is positive.\nAnswer: y**(224\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 7*c. Let l be j(7). Let v be (10\/15)\/(-1 + l). Let a(f) = -f - 1. Let y be a(-2). What is the closest to v in -1, -0.2, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 - (3 - 5) - (35 - 25 - (-8 - -19)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1031, 4, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -10. Let b be (53\/3)\/((-4)\/(-12)). Suppose -6*s + b - t = 0. What is the least common multiple of s and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvccvkkvkccf. Give prob of sequence vf.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 570 - -3595. Calculate the greatest common factor of p and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/(-20) - (-2 + 5721\/(-12)) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*m + 14 - 14)*(-16 - 32 - 27) in the form t*m + o and give t.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32171.\nAnswer: 53, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1658*r**2 - 2*r - 1606*r**2 + 2*r.\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 759 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4 + 132685*o**3 - 132675*o**2 - 132685*o + 132680 = 0.\nAnswer: -1, 1, 26536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3575 in 0.09, 5, -1\/3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 0 + 7*y**2 + 3*y + 3 + y**3 - y**2. Let i be o(-5). Is i at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 11*y**2 - 27*y - 11. Let z be s(-13). Let i be (-28)\/(-6) + 4\/(-6). Solve -i*x + 12 = -z*b, -b + 6 = 3*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t - 111*t + 517*t + 221*t + (2*t - 3*t + 4*t)*(4 + 6 - 6) in the form l*t + r and give l.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1068 and 24?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.05 (b) -0.1 (c) -5 (d) -4.63 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 42. Let t = 9 - r. Find the first derivative of -10 - o**t - 199*o + 0 + 199*o wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -1 - (-19 + 5)) + (-17 - -15) + -62.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 13*v - 3*v + 26.\nAnswer: -16*v + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 119.01.\nAnswer: 122.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-41)\/(-3 + (2 - 0\/(-3))). Let c = w + -32. What is the greatest common divisor of c and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -5\/7 (c) -985 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 5. Let t = 80\/7 + -11. Which is the third smallest value? (a) t (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by -2?\nAnswer: -221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/6716088 and 59\/12852.\nAnswer: 47012616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - 39) + (28 - -17)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 4*g**2 + 3*g + 3. Calculate the lowest common multiple of b(3) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 108, 316, -4, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 314*c**2*i*q**2 - 72*c**2*i + c**2*q - 2*c**2 + 39*c*i - 2*c*q**2 + c*q - 11*i*q**2 + i*q wrt q?\nAnswer: 628*c**2*i - 4*c - 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-133)\/(-14) + -1 + 10\/(-4). Suppose z*i - 6 = 12. Solve -2*h - 3 = i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 3*m**2 - 4*m + 8. Let i be a(0). Solve -i*f = 18 - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111101011100100000 (base 2) to base 10.\nAnswer: -513824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.09 and -33532173.\nAnswer: -33532172.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -203?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 19 = -57. Suppose 4 = o - t. Suppose -2*a = 5*u - o, u + a = 4*u - 34. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1534, 200, -3 in decreasing order.\nAnswer: 200, -3, -1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*a + 23 = -61. Do a and -1\/846 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 5*a**2 + 7*a + 9. Let u be f(-6). Solve -5*m - 16 = -2*r, -3*m - 3 = -u*r + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) -8\/3 (c) -5 (d) 2\/7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4374, -8749, -13124, -17499, -21874, -26249?\n\"Answer: -4375*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**3 + 8*n**2 - 4*n - 17. What are the prime factors of l(7)?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:12 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150915 - -288722. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -55*h + 45. Let i(l) = 5*l - 4. Let x(r) = 45*i(r) + 4*j(r). Let n(k) be the first derivative of 2*k**3 - 215. What is n(x(g))?\nAnswer: 150*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11320*k**2 + 394 + 2*k + 11294*k**2 + k wrt k?\nAnswer: -52*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9374 is divided by 4649?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixixixjj. Give prob of picking 1 j and 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 586011 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 1289.\nAnswer: -90\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -43 + 53. Let z(c) = -600*c - c**2 + 5 + 609*c + s*c**2. Determine z(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -148923\nAnswer: 1489.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -37*d + 63. What is l(16)?\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3066*b**2*i**4 + 4083*b**2*i - 6*i**5 - i wrt i.\nAnswer: -36792*b**2*i**2 - 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 + 166. Let i be 6 + 5\/5*-2 + p. Solve 13*h = 8*h - i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -47, -69, -91, -113, -135?\n\"Answer: -22*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v + 8*v = -42 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -2 - 21516093\/(-4968). Let w = -19747\/69 - b. Let g = w - -4606. What is the common denominator of g and -77\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2 - 8. Solve l*w + 4 = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 69\/176?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 24. Let p be y(7). Let s = p + 17. List the prime factors of 160\/(-50)*((-177)\/s - -2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crytcycyscyyycrt. Give prob of sequence rysc.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**2\/2 + 10*p + 5. Let x be h(0). Suppose 2 - x = -4*f. Solve a + 4*a + 19 = f*w, 3*a = 2*w - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**3\/6 + 3*i. Let c(w) = -w + 1. Let h be (1 - 0) + 3 + -3. Give h*c(k) - z(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*k + 4*v = 2, 0 = 5*k + v + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1206 and -85\/47646246?\nAnswer: 142938738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 3*i - 512. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -14. Suppose -r*n + 2*n = -3. Suppose 2*m - 2 = 4*z, -5*m - 11*z + 13*z + 21 = 0. Solve m*p + n - 11 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2313128\/321 + -7206. Let b = 0 - 0. Which is greater: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/523993 - -8491306421\/18863748. Let p = b + -1769\/4. What is the common denominator of -9*8\/(-36)*(-5)\/11 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363861.\nAnswer: 3, 40429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d - 2)*(-2 - 2*d**2 + 2*d + 1 + 3) - 179*d**3 - 823*d**3 - 558*d**3.\nAnswer: -1556*d**3 - 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 300751 - 51029 = -83*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = 3. Suppose -2*n - 2*n + 12 = 0. Let a(y) = 5*y**n - y**x + 4 - 6*y**3 + y + 4. Give a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17456821 to the nearest integer?\nAnswer: 4178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02819508 take away 0?\nAnswer: -0.02819508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lay when three letters picked without replacement from {l: 2, y: 8, a: 4, m: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 15*n**3 - 8*n**2 - 35*n - 125. Calculate b(-3).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - a - 31 = 0, -43 - 52 = -5*g - a. Suppose 0 = 3*c - 6 - g. Calculate the remainder when (-4)\/c + 102\/4 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-9)\/63).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.69292 to two dps.\nAnswer: -2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 - 2*q + 1. Let u(p) = 7*p**2 + 2*p - 2. Calculate -5*t(x) - 3*u(x).\nAnswer: -6*x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = -0*j - y, y + 2 = 0. Let m(w) = 22 + j*w - 4*w - w - 1. Calculate the remainder when 19 is divided by m(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4048, -4056, -4068, -4084, -4104?\nAnswer: -4128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.1. Let c = 1.1 - 1.01. Let t = c - -0.31. Sort t, y, -5\/2 in descending order.\nAnswer: t, y, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = t - 6. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l - 24. Let j(w) = -4*w - 1. Calculate -4*j(p) + m(p).\nAnswer: -3*p - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 0.2, 2\/9, 3, 44, 1, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n - 16547 + 16787 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1377 and 37\/41310?\nAnswer: 41310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 497 - 456. Let t = v + 46. What is the remainder when 259 is divided by t?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -114*a - 723. Determine m(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 155*m**2\/2 + 64*m + 154. What is the derivative of s(l) wrt l?\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 81 = -7*g. Sort -3, g, 3 in descending order.\nAnswer: g, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9 + 23 - 5*h - 11. Let n(a) = -4*a + 2. Let z(v) = -5*j(v) + 6*n(v). Let u = 0 + 0. Give z(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 31\/5, -1.234?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610046 is divided by 536624?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) -55 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281006.\nAnswer: 2, 11, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-126)\/(-12) + 9\/6. Suppose 0 - 33 = -3*s. Let h = s - 7. What is the greatest common factor of h and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + s - 2*s)*(-1897 - 541 + 320) as p*s + h and give p.\nAnswer: -2118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2907098131?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1136, -2122, -3108?\nAnswer: -4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 64.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1700) - (sqrt(1700) - 1*sqrt(1700))) + -4 + -1 + sqrt(1700) + sqrt(1700) + (sqrt(1700) + 0)*4 + sqrt(1700) + 3)**2.\nAnswer: -320*sqrt(17) + 108804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/5))\/y**12)\/(((((y**(2\/5)*y)\/y)\/y)\/y)\/((y*y**6\/y*y)\/y)) assuming y is positive.\nAnswer: y**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -212\/19, 0.4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 89310.\nAnswer: 89310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiak when four letters picked without replacement from bsbqaaiqqbkqaaqbabi.\nAnswer: 25\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, g: 1}. Give prob of picking 1 g and 3 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 743\/440 + 24\/55. Is v >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -4 (c) -0.113556 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.81 and 0.5?\nAnswer: 7.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8484735 kilometers?\nAnswer: 848473500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**3 - 2637*w**2 + 2317923*w - 149. Factor c(s).\nAnswer: 3*(s - 879)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*d + 452 = 434, 0 = -s - 3*d - 3. Let c = 4 - -3. Is s > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 853.5 and 0.4.\nAnswer: 341.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 2*o**2 + 7*o**2)*(0 - o + 0) - 73 + 73 + 18*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**23*v)*v\/(v*v\/v**(-19))*(v**19)**(-15))**(-18) assuming v is positive.\nAnswer: v**5922","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 = -0*y. Suppose -4*l - 2 = q - 4*q, y*l = -5*q + 46. Let g(d) = -4*d + 0 - 1 + d**2 + 3*d - q*d**3. Calculate g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -32. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9663*w**5 - 25962*w**2?\nAnswer: 579780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.207 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((3\/6)\/(134\/4)). Let s = b - -68. Calculate the highest common factor of 7 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 6*h + 9. Determine a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 1. Let z be b(-9). Let f be 0 - (-5)\/(20\/z). Solve f*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*u = 473*u + 1. Suppose -10*o - 15 = 5*o. Sort o, u, -7 in descending order.\nAnswer: u, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*d - 16072 = -186*d. Which is smaller: d or 813\/29?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**4 + 13*q**4 - 8*q**4 + (-3*q + q + 0*q)*(0*q**3 - 3*q**3 + 5*q**3) - 5*q**4 + q**4 + 3*q**4 + q**4 + 0*q**4 + q**4 + 15829 + 682*q**4 - 15829.\nAnswer: 689*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 190 and -17?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.137? (a) -3 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, z: 7}. Give prob of sequence ztzt.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -32, -57, 26, 4, -1 in decreasing order.\nAnswer: 26, 4, -1, -6, -32, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + u)*(-6*u + 5 - 5) + (0*u + u - 3*u)*(2*u - 1 + 1).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by 5987?\nAnswer: 188\/5987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 13*c**2 - 15*c - 17. Let f be b(-12). Let t = f - 20. What is the nearest to t in 1\/7, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + x = 2*w - 2, 2*x + 11 = -3*w. Calculate the lowest common multiple of 55 and ((36\/(-15))\/w)\/(21\/350).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 8*y - 60.\nAnswer: 4*(y - 5)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**5\/11 - 121746*k**4\/11 + 1851725852*k**3\/11 + 31510757700*k**2\/11 + 57465850850*k\/11 + 27806940750\/11 = 0.\nAnswer: -15, -1, 30445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 137? (a) 9 (b) -2 (c) 115 (d) 0.5 (e) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 58*x**2 + 29*x - 1767. Calculate the remainder when 538 is divided by o(-59).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:06 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-136)\/10*15\/3. Let p = -43 - m. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 - (-3 + 2)*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/459 - (-12288)\/(-7616)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1444219 + -315555. Let q = y - -1759770.999998. Let u = q - -3. What is u rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 81*a - 86*a + 2*j, -2*a = -2*j + 44. Which is bigger: -383\/24 or a?\nAnswer: -383\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -224, -231, -238, -245, -252?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1382440 divided by -4280\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h - 9. Let p(n) = -n - 1. Determine -6*p(f) - q(f).\nAnswer: f + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -85. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y + 45 = 48*y. Suppose -8*x + 4*x + 8 = 0. Suppose -2*i - x*i = 0. Sort 2, y, i.\nAnswer: y, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (10 - 8) - (-14 - (0 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 + 905*h**3 - 25315*h**2 + 89295*h - 64890 = 0. Calculate h.\nAnswer: -206, 1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1757 and 322535.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -5. Suppose -w + 4*v - 12 = -0*w, v = -2*w + a. Solve -2*g - 4*d - 14 = 0, 3*d = w*d + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3\/6 - 11*v**2\/2 + 5032*v. Calculate o(-20).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, -52, 0.3, 3, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/7))**(1\/30))**(-41)\/((o**(-2\/7)\/(o*o*o**(-3\/5)))\/(o**(-1\/5)\/o**8)) assuming o is positive.\nAnswer: o**(-1573\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.233 + 178.767. Let u = -40680867.99613 + 40680689. Let c = u + q. What is c rounded to 4 dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(270\/6480)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/15 + 4*i**4\/3 - 32*i**3\/3 + i**2 - 10*i. Let p(x) be the first derivative of k(x). Solve p(s) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243126, -243126, -243118, -243096, -243054, -242986?\nAnswer: -242886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - sqrt(45)*-4).\nAnswer: sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 4*w**2 - w - 3. Let i(b) = 2*b**3 - 9*b**2 - 2*b - 7. Let y(u) = -2*i(u) + 5*v(u). Let f = 2 - -1. Determine y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from liuzslp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*m**4 - 8*m - m**2 - 34*m**4 - 1 - 20*m**4 + 2 + 88*m**4 as j*m + x*m**3 + h*m**2 + y + t*m**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35664.79 centuries to years.\nAnswer: 3566479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 11\/2932081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384224 and 302336.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 232\/(-3)*(-168)\/8. Let j(p) = 278*p**2 + p - 1. Let w be j(-2). Let d = y - w. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-231) + -18 + (-19388)\/(-777).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = -x, 4*x - 4 = -3*z + 2*z. Suppose 9 + 3 = z*f. Let w be 3 + -4*f\/2. Let u(o) = 2*o**2 + 2*o. Calculate u(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**6*n - d**4*n - 5*d**3*n**3 - 2172*d**2*n**2 + d**2 + 2*d*n**3 wrt d?\nAnswer: -480*d**3*n - 24*d*n - 30*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 65*c**2 - 156*c - 1187. Calculate s(-63).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/176*((-4)\/(-4))\/(7*(-75)\/(-700)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 182*r - 825*r**2 - 817*r**2 + 1643*r**2 + 8281 = 0. Calculate r.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1389 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/15 (b) -0.06 (c) -0.16 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2131\/9 - -237. Let u = 1.049 - 0.049. What is the second biggest value in -2, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -76, -144, -232, -340?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**(2\/7)\/v))\/v*v)**47*v*v*(v\/(v*(v**(5\/4)*v)\/v))\/v*(v**(-2)*v*v)\/v)**(-1\/14))**14 assuming v is positive.\nAnswer: v**(-2221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -39512 and -39513 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8856?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 30\/180*4\/(-1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4384*r + 121001 - 347197 = -876*r + 257724 for r.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 1. Let k be q(1). Let h(l) = -l**2 - 330*l - 10581. Let v be h(-36). Solve v*m = k*f + 12, m = 3*m + f - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (1*sqrt(17) - sqrt(17))*-6)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4. Suppose -2*s = 4*f + 2, 0 = -f - 2*s - m - 1. Solve f = 3*k + 4 - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-8))\/(-14) - (837\/(-21) + 0). What is the highest common factor of c and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -4.1 (c) 0.4 (d) 6\/137 (e) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -1122642533 - -0.0709?\nAnswer: -1122642532.9291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9346, -18702, -28062, -37426, -46794, -56166, -65542?\n\"Answer: -2*p**2 - 9350*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:18 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 - 16 = 0. Let p(u) = u**3 - 13*u**2 - 15*u - 21. Let i be p(n). Let z = i + 29. Let j(y) = -y**2 - 9*y - 9. What is j(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 - 2. Let q = -6 - -11. Let b be (9 + 30\/(-2))\/((-4)\/4). Let s(o) = -o**3 + 5*o**2 + 2. Determine b*f(t) + q*s(t).\nAnswer: t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/37*(-428)\/(-12) - (-15)\/9*3\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 28. Suppose -175*p + 174*p + 1 = h. Let z(w) = -22*w. What is z(p)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l - 37. Let f(r) be the second derivative of -r**4\/6 - 184*r. Give f(g(n)).\nAnswer: -32*n**2 - 592*n - 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9647.0657 + -9658.3046227. Let f = 2.2389192 + t. Let n = f + 9. Round n to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02062415861 to five dps.\nAnswer: 0.02062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bllllvulv. Give prob of sequence lv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 + -11000?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1034784 divided by -6.\nAnswer: 172464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 35, -23, -3564, -5.\nAnswer: -3564, -23, -5, 0, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 3, i: 2, j: 2}. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 27323 = -27179. Solve -4*g - 4*i + 5 = -o*i, -4*g - 25 = i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2 - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 3:11 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) -1 (c) -0.01 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 32*j + 159. Let t = -20524 + 20519. Give i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2 + 8*h + 9. Let f(i) = -4*i**2 - 8*i - 10. Let g(y) = -5*f(y) - 6*q(y). Factor g(d).\nAnswer: -4*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12 - (185458\/9464 + (-4)\/(-26))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203*g**5 - 173*g**3 - 6694*g**2 + g?\nAnswer: -12180*g**2 - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.5642 years in millennia?\nAnswer: 0.5065642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 116*a**2 + 17745*a + 1996939. Calculate f(-114).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042911 to five dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265 + -111. Let p = o - 297. Let d = p + 164.5. What is d rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**4 + 488*p**3\/3 + 496*p**2 + 525. Factor w(o).\nAnswer: -4*o*(o - 124)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-0.428838.\nAnswer: 4.28838","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127131 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:33 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -8, 0.13, 134 in increasing order.\nAnswer: -70, -8, 0.13, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*a*h**2 + 29*a*h + 512*a + h**2 - 7 with respect to h.\nAnswer: 118*a*h + 29*a + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p - 261. Let j(g) = g. Let q(w) = -h(w) - 3*j(w). Does 29 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 7*h - 2. Let f be (2\/(-2))\/(2\/(-84)). Let t = 48 - f. Let u be s(t). Sort -5, 2, u in ascending order.\nAnswer: -5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-365 - 370 + 396*w**2 + 735)*(w + w + 0*w).\nAnswer: 792*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 + 42*g - 69. Give m(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 + 0)*(-4*f + f - 6*f + (4 - 4 - 6*f)*(-1 - 1 + 1))*(-1 + 3 - 4) as r + y*f and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(2*t + 9*t - 6*t + 2*t**3).\nAnswer: -2*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -334.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/25 and -47\/29391628.\nAnswer: 734790700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*4 - (16\/(-1) + -4315)?\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 times 5?\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142918, -0.12, 3\/4, 5, 2.\nAnswer: -142918, -0.12, 3\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756491037.\nAnswer: 3, 67, 1879, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*g = -g + 26, -p - 3*g = -14. Let v(c) = 2*c + 3*c - 11 + p. Determine v(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-117)\/(-12) + 6\/(-8). Let s = i + 14. Let k = -12 + s. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + 0 - -13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.1567119 + 16.156. Round n to 5 decimal places.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-1 + 11 + -6. Suppose -4*c + 50 = -z*c. What are the prime factors of ((-160)\/(-50))\/(1 + (-46)\/c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 160, 435, 836, 1375, 2064, 2915?\n\"Answer: 2*m**3 + 51*m**2 + 108*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w**4\/3 - 7628*w**3\/3 + 9750*w**2 - 6492*w = 0. What is w?\nAnswer: 0, 6\/7, 3, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 = 26*i + 301 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 348*j - 184*j + 164 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.3. Let j = 128 - 127.9. Which is the nearest to -1? (a) j (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2670 and 4\/3471.\nAnswer: 34710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-197)\/26*-2 - 16\/728*7. Solve -4*c = -48*i + 53*i + 29, d = 5*c - 4*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 6*f - 729. Suppose 3*c - 4*c + 63 = -4*o, -o = 2*c - f. Suppose c = h - 15. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 49*w + 16. Let x(k) = 4*k**2 - 48*k - 16. Let g(o) = -3*f(o) - 2*x(o). Is 7 a factor of g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(91)*3 - ((sqrt(91) + (sqrt(91) - -4*sqrt(91)) - sqrt(91))*-5 - sqrt(91)))\/(sqrt(63)\/sqrt(36) - sqrt(7)*-5*-3))**2.\nAnswer: 53248\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 896 = -10*h - 5*q, 2688 = 3*h + 5*q. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*t = -4*t - 7, -3*o + 12 = -5*t. Let d(u) = -2 + u + 971*u**3 - 999*u**3 + u**2 + 3. What is the units digit of d(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29708948 is divided by 2866.\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71, 88, 563, 1862, 4351, 8396, 14363, 22618?\n\"Answer: 61*h**3 - 137*h**2 + h + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1 + n + 14*n**2 + 4*n - 3*n. Is x(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*j**3 + 3*f**3*j**2 - 112137*f**3*j - 13*f**2*j**3 wrt j?\nAnswer: 6*f**3*j + 6*f**3 - 78*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -162156606 + 0?\nAnswer: -162156606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 3640?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 970047*h - 188. Let w be s(4). Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = d - 12. Let p = 26 + d. Suppose 5*n - p = -x, 4*x = 3*x - 3*n + 13. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**9\/60480 + o**8\/20160 + o**7\/5040 - o**6\/720 + o**5\/30 - 3*o**2. Let v(j) be the third derivative of a(j). Factor v(w).\nAnswer: -(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/297 and 64\/99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-188 - -67) + 195?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*k**2 + 0*k + 0*k - 984*k**2 + 251*k**2.\nAnswer: -949*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 54 = -2*v. Let d = v - -30. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/500 and 41\/1105.\nAnswer: 110500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 194*w**4 + 7*w**3 + 23*w**2 - 1. Let b(k) = -193*k**4 - 6*k**3 - 20*k**2 + 1. Let x(f) = 4*a(f) + 5*b(f). What is the third derivative of x(s) wrt s?\nAnswer: -4536*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/4 + 3*c**3 - 5*c**2 + 8*c - 7. Determine g(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621 - 3707 = -w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v - 261 = -71. Which is the second biggest value? (a) v (b) 0.1 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:57 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/14 - (-50)\/(-14). Let q be (7\/7)\/(k\/6). Let u(a) = -a**3 - 4*a**2 + a + 1. Let b be u(-4). Sort 3, q, b.\nAnswer: b, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -11, -152810?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86579651.\nAnswer: 86579651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 86 = 32*a + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16*((-12)\/(-8) + -1). Suppose 3*w = x*w - 4185. Suppose -17*l + w = -455. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580026101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20*11\/(-88)*8\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and 27 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*g - 5*u + 207, -5*u = 0. Calculate the remainder when g is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 366, 332, 280, 204, 98, -44, -228?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177120 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -27. Calculate the highest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((sqrt(60)\/sqrt(6) + sqrt(10))\/sqrt(5)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/12 + (-8)\/12. Suppose 3*i = 7*i - 4*c, 45 = t*i + 5*c. Let h = -1 - 0. Sort -2, h, i in decreasing order.\nAnswer: i, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 71336.61 milliseconds?\nAnswer: 1.1889435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*c + 16, 5*q + 5 = 4*c + 51. Suppose -q = -5*i, 0*v - v - 3*i + 8 = 0. Suppose 3*b - 3*l = -b + 43, -v*b = -2*l - 22. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.06 + -0.06. Let t = -8 + l. What is the closest to t in 3, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0829907 - -0.4\nAnswer: 0.4829907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:46 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2304 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*w - 53*w - 148 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:48 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 118787 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - 0.05. Let y = 0.05995 - o. What is y rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*m + 12. Suppose 27 = 9*p - 0*p. Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(15\/(-6))*6\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 782675, 782524, 782279, 781946, 781531, 781040, 780479, 779854?\n\"Answer: k**3 - 53*k**2 + k + 782726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.9. Let r = -3318.6 + 3339. Is r less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82137, 82082, 82027, 81972, 81917?\nAnswer: 81862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - -4.4. Let v = -2 - 2. Let q = v + r. Which is the third biggest value? (a) 0 (b) 2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54d + 15?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -62*a + 55*a. Solve -w = -a*u - 17, 0*u - 2*u = 4*w + 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001101101 + -1111011101010?\nAnswer: 1000110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpkwtjjw. Give prob of picking 1 k and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6501898955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:36 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 4) to base 2.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(8\/7))**(-33)*(s*s\/(s*s**11))\/s*(s\/((s\/s**(4\/7))\/s)*s)\/s assuming s is positive.\nAnswer: s**(-330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5.4, -2, 4\/27981?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i**3 + 47*i**3 + 150 - 21*i**3 - 14*i**3 as a*i**3 + n + c*i**2 + y*i and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2589*o + 2*o**2 + 1 + 2589*o. Determine n(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-28) - (3871348\/40222 - (-4)\/(-34)). Is t less than or equal to -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 bigger than -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 9\/14*v**4 + 12\/7*v**3 + 3*v - 3\/10*v**5 + 0 - 12\/7*v**2. Suppose s(h) = 0. What is h?\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 241 + -6b81a?\nAnswer: -6b5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 13 + 7 + 0*i + i + 1 - 22115*i**2.\nAnswer: -22115*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4) + 465\/6. Suppose -3*y + p = -80. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -31. Let i = -46.7 - -46.5. Put u, -0.05, i in descending order.\nAnswer: u, -0.05, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 9*s**2 - s + 2. What is the units digit of z(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1918 - -1921. Let r(n) = n**3 - 6*n**2 + 5*n + 1. Suppose -l = -3*a + 7 - 24, l + a - 1 = 0. Let i be r(l). Solve -w = -2*q + i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t**4 + 61972*t**3 + 8*t - 3462901 wrt t?\nAnswer: 12*t**3 + 185916*t**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062723319 to 6 decimal places.\nAnswer: -0.006272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 526 and 5289?\nAnswer: 2782014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 754*r - 12063. What is i(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s - 5*t + 11 = -37*s, -117*s + 4*t = -111*s + 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (-67 - -146) - -35?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-3 - (-21 - -10)) - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q + 9*q + 229*q**2 + 4 + 0*q - 4 in the form u*q**2 + j*q + w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 - 53 = 14*x. Let g be (x\/((-935)\/198))\/((-2)\/(-10)). Calculate the highest common divisor of g and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 - 55. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14768.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6*d - 52 = 0, -1907 + 877 = -3*f - d - 962 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from npneneqwwpnnkee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 2*j**4 - 2*j**4 + (-7*j**2 + 2*j**2 + j**2)*(-5*j**2 + 3*j**2 + j**2).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 14) to base 12.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 69\/21)\/((-14)\/245).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 11 - 173. Let k be 27\/h*(-420)\/(-9). Suppose -38*s + 40*s - k = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*s - 18, -186*k + 11 = -181*k - 4*s. Suppose r = 4*l - 8, -18 = -3*r - 0*l - 2*l. Which is the biggest value? (a) k (b) 13 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25806 divided by -8602?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 + 114208*r - 114208*r.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*b + 13, 4*n + 2*b - 16 = 6*b. Let y(h) = h**2 - 4*h + 6. Let w be y(n). Suppose -3*c + w = 5*u, -u = c - 7 + 2. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/5)\/(-2)*-10. Suppose -4*n + 32 = 168. Let i be n\/(-3) - (-1)\/(-3). Solve i = 5*m - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-4 - -5) - 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - (-7261955)\/(-20))\/((-9)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -26933\nAnswer: -5386.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 6*k + 4. Is t(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 161*u - 161*u + 4.\nAnswer: -3*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 5\/6, 2\/9, 15, 2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:42 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 8*j - 3*c - 15 = 0, -4*c = j + 6. Is 33 a factor of (-33)\/j*(-36)\/((-4)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7149241 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + f - 3)*(6*f + 5*f + 7*f) in the form x*f + v + b*f**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8829*a**2*p**2 + 380*a**2*p - a*p**2 + 4*a*p - 2*p wrt p?\nAnswer: 17658*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168*40\/32*18\/(-90).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 8. Let z(x) = x - 8. Let r(f) = -4*j(f) - 3*z(f). What is the tens digit of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -22, -5, -0.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 4*v + 1. Let c be p(-4). Suppose -1 + c = 4*q. What is the remainder when q is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*1)\/(-1) - -13. Let y = -10 + n. Calculate the remainder when 420\/80 + (-7)\/(-4) + -1 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -80\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 50 = -4*a, 7*o - 10 = 2*o. Let j be (-15)\/(-6)*12\/a. What are the prime factors of 9 + j\/(6\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, c: 2}. Give prob of sequence cmmc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4571436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + 74c6?\nAnswer: 74e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 90.76349 litres?\nAnswer: 90763.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.033 + 0.311. Let g = -0.054 + m. Let u = -1.61 - g. Which is the smallest value? (a) u (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 745*x**2 - 3*x + 6. Let i be h(5). Suppose 0 = -5*o + i + 2239. Let y = 83403\/20 - o. Calculate the common denominator of y and -83\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -371.6 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Let w = p + 0.2. Let m = 1.9 - -1.1. What is the smallest value in m, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159588 divided by 17732\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -23*x. Let w(r) = 1565*r**2. What is y(w(a))?\nAnswer: -35995*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0. Let d be 5 - 96\/20 - (-18)\/10. What is the nearest to k in d, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. Let m be o(-3). Suppose g + m*g - 240 = 0. What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140360 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 + 193949. Let t(p) = 5*p. Give h(t(u)).\nAnswer: -125*u**2 + 193949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11594310 a multiple of 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - 36\/(-10). Let u be (1\/(-3))\/(3\/(-63)). Is (1*u)\/(2\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/(-42)*6\/(-4). Let n(t) = -t**2 + 3*t + 2. Let k be n(3). Suppose i - 8 = k*g, 5*i = 2*g - g + 4. Is r at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48629 divided by 16.\nAnswer: 48629\/16","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -3871972 divided by 38\nAnswer: -101894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1059*j**3 + 3*j**2 - 6*j - 67. Let n(s) = -3183*s**3 - 8*s**2 + 17*s + 202. Let b(a) = -6*n(a) - 17*u(a). Find the third derivative of b(p) wrt p.\nAnswer: 6570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11141 (base 5) to base 4.\nAnswer: 30130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdjjbipjbdd. Give prob of sequence ibw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + 3\/(-1)*1. Suppose 3*i - 46 = 248. Calculate the common denominator of (x\/(-32))\/(4\/i) and 97\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*s - 37 - 45 = 0, -2*g - 2*s - 72 = 0. Let x = 2 - g. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16605 (b) -1\/548 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(12\/(-5)))\/(30\/(-132)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10626)\/(-833) + (-2)\/7. Let j = -210\/17 + f. Which is the closest to 0.1? (a) 5 (b) 2\/13 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lux when three letters picked without replacement from {l: 3, e: 2, u: 1, z: 2, x: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2311\/2 or 1155?\nAnswer: 2311\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 52 = -h, 2*t = 7*t + 5*h - 90. Let w(v) = 11*v + v + 27 - 26. Let g be w(7). What is the highest common factor of g and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5ec (base 16) to base 11\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 3*n + 3*n)*(3*n**2 - 5*n**2 + 4*n**2 - n**2 + 0*n**2 + 3*n**2 - 7*n**2 + 4*n**2 + 4*n**2 + (-3*n + 1 - 1)*(3 - 3 - 2*n)).\nAnswer: -22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzkzwkzwww. What is prob of sequence zzz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10258 = -3*g, -s + 9*g - 7*g + 2062 = 0. Suppose s = -8*r + 5382. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3\/3 + 104676*g**2 + 2065448480*g + 1293485622976\/3 = 0 for g.\nAnswer: -39148, -211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72342574 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**2. Let g(d) be the first derivative of -d**3\/3 + 2. Calculate o(g(x)).\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - b = 4, -12 = -2*q - q + 3*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - a**3 + a**3 + (a**3 - 4*a**3 + 5*a**3)*(0 + 1 + 0) + 4*a**3 - 54 + 54 as d + x*a + i*a**2 + j*a**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 735 and 686805.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*v**2 + 5 - 25*v**3 + 14 + 24*v**3 - 19.\nAnswer: -v**3 + 194*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5419?\nAnswer: 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -18*h - 18. Let p be d(-2). What is the highest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.01, 0.2, 10 in decreasing order.\nAnswer: 10, 0.2, -0.01, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 644 - 644 - 3*c. Let s(d) = 10*d. Determine s(k(z)).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 48*r - 279. Let l be x(-13). Which is smaller: 30 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 16 - 4, -14331 = -p - 4*r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 25. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -130. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 330 and -156267.\nAnswer: -155937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89 take away 2.35?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5\/4 + 12339*p**4\/4 + 37035*p**3\/4 + 37041*p**2\/4 + 3087*p.\nAnswer: -3*p*(p - 4116)*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.92 - -0.08. Let l = i + -1. Which is the second biggest value? (a) 0.2 (b) -1\/8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -0.008739.\nAnswer: -0.0122346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 332348.2 days?\nAnswer: 28714884480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68156, -136200, -204236, -272264?\nAnswer: -340284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. Suppose v*g + 4*g = 44. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f + 4*f - 3*f)*(-1 - 4 + 0) - f + 0*f + 3*f)*(-f**3 + 0*f**2 + 0*f**2).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 517 - 294. List the prime factors of h.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 8\/3*m**3 + 0*m - 8\/5*m**5 + 4 + 0*m**2 + 0*m**4. What is the third derivative of y(k) wrt k?\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -44*h + 4. Let c be y(-5). Suppose 3*k + 0*k - 5*n - c = 0, -5*k - 3*n = -328. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -850 divided by -2?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 1, n: 2, i: 2, m: 1}. What is prob of sequence pnni?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28143 and 975565.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - y + 13. What is p(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-36)\/(-20) - 3346\/(-7170).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*p + 16, 0 = 4*f + 3*p - 10. Suppose a - f + 0 = 0. Suppose -a*r = -5*r + 69. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4*b**2 - 2*b - 6. Suppose 3*y + 5*t = -8, 0*y - 14 = 4*y + 5*t. Let r be j(y). Suppose -15 - r = -n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-231)\/(-84))\/(2*(-1)\/(-8)). What is s in 46 - 4 + 5*s**2 + 38 - 29*s - d*s = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 580*w**3 + 14*w**2 - 13*w - 22. What is the remainder when g(2) is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2230*p**3*y**2 + 3*p**3*y + 3*p**2*y + 1190*p*y + p + 269*y**2 - 26 wrt y?\nAnswer: -4460*p**3 + 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10345 by -188.\nAnswer: -10345\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 - 5*v**2 + 9. Let n(l) = 11*l**3 - 8*l**2 + 14. Let c be (3 + -1 + 3)\/(-1). Calculate c*n(z) + 8*t(z).\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -212, -0.5.\nAnswer: -212, -0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*c - 15, n + 0 + 4 = c. Is (-528)\/(-16)*(1317\/(-9))\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-6)*(0 - 2\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 6*d**2 - d + 2. Is 15 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/1 - (-2862)\/(-742))*(-4151)\/(-6). Which is smaller: 99 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heassaahashaseaaaas. Give prob of picking 3 s and 1 a.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448138 (base 9) in base 10?\nAnswer: 1331270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 44. Let v(o) = -2*o + 11. Let l(x) = -6*g(x) - 26*v(x). Let b be l(-13). Solve -w = b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562744844 + 137*l + 562744844.\nAnswer: 137*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3 + 2433904*g**2\/7 - 6606426*g\/7 - 2086236\/7 = 0 for g.\nAnswer: -173853, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, x: 2}. Give prob of sequence ggg.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(75) + -3 + sqrt(75)*1 + (sqrt(75)*-1 + sqrt(75))*2 - ((sqrt(75)*-2 + 3 - (1 + sqrt(75) + sqrt(75) + 2 + sqrt(75))) + 5))**2 + -2.\nAnswer: -7640 + 1680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*z = -15, -z - 5 = -2*g + 7. What is the derivative of 45*n + g*n - 64 + 89*n wrt n?\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 9. Determine k(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 27, -27, -103, -201, -321, -463?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 513281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -h, 3*h + i - 1 - 5 = 0. Determine z so that z**3 - z**3 - 3*z**2 + 5*z**3 - h*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-4)*(-4)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 5*d - 4*f = 5, d = -f - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**5 + 8810*q**3 + q**2 + 167712*q wrt q.\nAnswer: -40*q**3 + 52860*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 669911369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21 - 7\/(6 + -5). Let b be (48\/l + 0)\/(38\/133). Solve -n + b = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 4:23 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 0.1. Let p be (4\/(-6))\/(43\/(-9) - -5). Sort m, p, 4\/7 in descending order.\nAnswer: m, 4\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -396, -476, -596, -762, -980?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g = 90. Let h be (5 - 57\/9)\/(2\/g). What is the greatest common divisor of 540 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -635\/7, 0.2, 2, 0 in decreasing order.\nAnswer: 2, 0.2, 0, -635\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 4. Calculate the remainder when 57 is divided by n(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 15. Suppose 6 + a = 2*x. What is the remainder when -7 - -4 - 1*-22 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*i + 1211. What are the prime factors of i?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 8*l**2 - 11*l + 63. Let h be t(7). What is the greatest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 19, -5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(-15*c - 12*c - 3*c) in the form o*c + h and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*x**3 - 23\/3*x + 0 + 8*x**2 = 0. Calculate x.\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -528.00237 - -528. Round y to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361.4 - -71.6. Let g = n - 430. What is the closest to 0 in g, -0.13, 5, 0.3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1860557 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95706415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -0*t - 3*n, 3*n - 6 = 0. Suppose 0 = -t*r + 595 + 224. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 125.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 393.\nAnswer: 11397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 48237909*k**2 - 96475827*k + 48237915 = 0. Calculate k.\nAnswer: -16079305, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**7\/231 - w**6\/33 - 2*w**5\/55 + 299*w. Factor u(y).\nAnswer: -2*y**3*(y + 1)*(y + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let y(r) = -3 + 7 + c*r + 3*r. Calculate the remainder when y(8) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 22 - 5 = 2*n, -l + 3*n + 29 = 0. What is the remainder when 34 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let r(o) be the third derivative of o**5\/30 + 48*o**2. Determine r(i(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/7 + 9*k**4\/7 + 2*k**3 = 0. Calculate k.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**2*j**2 - g**2 - g*j**5 - 3*j**5 + 66*j wrt j?\nAnswer: -10*g**2 - 20*g*j**3 - 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.091 + -48.091. Let h = -52 - q. Let j = -0.03 + -0.47. Sort h, 5\/7, j in descending order.\nAnswer: 5\/7, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4727505.\nAnswer: 3, 5, 41, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4 = -11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47334779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63469.701ms in hours?\nAnswer: 0.0176304725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234 - 149. Let h = p - 85. Let j(x) = x + 1. Determine j(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - 0.46. Let w = -539 + 616. Let i = 78.1 - w. Put -4\/5, i, 2\/3, x in increasing order.\nAnswer: -4\/5, x, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(-34)\/((-884)\/182).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxgoosnsssmnsooosoms. Give prob of picking 1 x, 1 o, and 1 n.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, c: 2, d: 7, i: 1}. What is prob of picking 1 b and 3 d?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702867327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -22*m**2. Let f(b) = b + 1. Let o(q) = -9*q**2 - 12*q - 12. Let h(w) = -12*f(w) - o(w). Determine 12*h(x) + 5*z(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let c(r) = -3*r - 7. Let u(y) = -c(y) - h(y). Let x(i) = 5*i + 8. Let l = 6 + 0. Determine l*u(k) - 5*x(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234.59 meters in micrometers?\nAnswer: 3234590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*g = 122 - 674 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2904541 is divided by 661?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 24*c - 21 + 10 to the form p + g*c and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 2, -2, 14 in decreasing order.\nAnswer: 34, 14, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -530.2556466 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 4*u + 2. Let d be h(4). Which is the nearest to -0.1? (a) d (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1602 by 18.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 5*x + 6. Let b be a(-5). Let w be -2 + (-2)\/(-4)*b. Let m be 54\/(1 + 2) + -4. Solve 5*g - 3*n - 15 = 0, -3*n - m - w = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/20*8\/6. Suppose 5*t = -0*j - 2*j + 110, -j = -3*t + 77. Factor -31 - 2*f**g - t*f - f**2 - 17.\nAnswer: -3*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-21)\/3906*-31).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/7)\/((-5)\/175).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42860.\nAnswer: 2, 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.08339 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 4*k**3 + 0*k**3)*(2*k + 4*k + k).\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 8) + -2 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 846091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 1061454862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3\/14, -2\/5, 43?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqiixqlkkvvviii. What is prob of picking 1 x and 1 l?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 4)\/(1 - (-49)\/(-47)). Let k = f - -50. Let n be (1\/(-3))\/(3\/9). Which is greater: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.441, 3, -156 in decreasing order.\nAnswer: 3, -17.441, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - d)*(-3*d**4 + 2*d**4 + 3*d**4) + (-2*d**2 + 2*d**2 + d**4)*(-279 + 148 - 45*d + 132).\nAnswer: -47*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 1. Let n be (-8 - -11)\/((-24)\/(-232)). Suppose 40*x - 11 = n*x. What is p(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 - 5*w**4\/12 + w**3\/3 - 49*w**2. Calculate q(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 x when four letters picked without replacement from {x: 11, d: 1, c: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (3 - (-28 - -16)) + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 25 - (-22 - (7 + -4) - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(750)*-1 + sqrt(750) + sqrt(750) + (sqrt(330)\/sqrt(99) - sqrt(30)))\/((sqrt(96)*-1 - sqrt(6)) + sqrt(6) + (sqrt(324)\/sqrt(6))\/sqrt(9)).\nAnswer: -16*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q - 28. Determine y(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*x - 5*x + 20, -5*f = x - 28. Let h = -3 + f. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441270101.\nAnswer: 441270101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 42 - 12 = 0. Does 18 divide (q\/24)\/(3\/216)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, n: 3}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 27. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((55\/11)\/(2 - 1)). Find c such that 12\/5*c**4 - 24\/5*c**2 + 8\/5*c**3 - 4\/5*c + 12\/5 - l*c**5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134 (base 5) in base 15?\nAnswer: 1ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 818*m**2\/7 + 20512*m\/7 - 44312\/7.\nAnswer: 2*(m - 2)*(m + 29)*(m + 382)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 1. Let o = -6 - -2. Suppose 3*i - 21 = 4*c, 2*i + c + 6 = -3*c. Let p(h) = h + 3*h - i*h + 2 - 6*h. Calculate o*t(b) - p(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:04 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - 2*z**2 + z**2 - z**2 - 5*z + 5*z + (-2003*z**2 + 8003*z**2 - 4045*z**2)*(2 - 1 - 2).\nAnswer: -1958*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/9252 - -4169\/224361. Find the common denominator of -91\/12 and a.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16822142 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 16*u - 22. What is the tens digit of l(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z + 1. Suppose k + 75 = -4*k + 5*c, 4*c = 20. Let d = 12 + k. Suppose 0 = -5*m + 20, -8*m + 4*m = -d*t - 12. Give n(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2839 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (846*x + 450*x - 385*x)*(-5 + 15 - 8).\nAnswer: 1822*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145.25mg in micrograms?\nAnswer: 1145250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207995625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1002408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2*p**2 + 23 - 3 - 4.\nAnswer: -2*p**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let o(g) = -21*g**2 + 38026*g - 16. Determine o(a(c)).\nAnswer: -84*c**2 + 76052*c - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18064, 18066, 18070, 18076?\nAnswer: 18084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + 11. Suppose -2*v + 3*y + 26 = -0*v, 0 = 2*v - 5*y - j. Suppose -n + 0*n = 4*t - 9, t + 5*n = 7. Solve v = t*s - 7*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669087*s**3 + 103*s - 670465*s**3 - 103*s.\nAnswer: -1378*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcz when four letters picked without replacement from {c: 5, z: 14}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -1762?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1087*c - 867*c = -33218 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9366061 rounded to 3 dps?\nAnswer: 19.937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1\/4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2\/235 (b) 27 (c) 2.8 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 15 = z, 4*q + z = 7. Let k be (-64)\/(-12)*18\/(-12). Let n be (k\/(-14))\/(150\/105)*15. Solve -15 = q*p - n*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(110)\/(sqrt(11) - sqrt(275))) - 4*1*sqrt(252).\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v + 8. Let p be a(8). Let f = p + 8. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*d**3 - 5024 + 5025 + 42*d**2 - 50*d**2)*(3*d - d**2 - 3*d + (-2*d - 2*d + d)*(d + d + 0*d)).\nAnswer: -231*d**5 + 56*d**4 - 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9106 and 446476286.\nAnswer: 9106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1362, 2476, 3588, 4698, 5806, 6912, 8016?\n\"Answer: -t**2 + 1117*t + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -44 - 80\/(-36)*18\/4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0018 * -0.2\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 462 = 4*p, 5*p - c + 747 = 160. Let g = -108 - p. Solve 5*l - 6 - g = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -672238 - -143?\nAnswer: -672085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 9. Suppose -3*o - 2*o + 55 = 0. Let m be y(o). Differentiate -5 + 6*d**2 + 0*d**2 - 6*d**m + 3*d**4 wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4 + 6 + 2*w**2 + 4*w**3 - 4*w**3 - 2*w. Let t be (2 + -1 + 0)*2. Determine c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1) + -3 + (3 - 0). Let w(q) = -q**2 + 3*q + 3. Let x(r) = r + 1. Let s(z) = f*w(z) - 4*x(z). Give s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 14*d - 3. Let n(w) = -5*w + 1. Let s(i) = -6*h(i) - 17*n(i). Let q(k) = -k**2 - 6*k - 6. Give -q(g) - 4*s(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 6 - 1 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrgmrugrrrmrvgvm. What is prob of sequence rg?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81113996?\nAnswer: 2, 43, 471593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-12 + 6786\/567).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 19. Let x(f) be the first derivative of f**2\/2 + 15. Let q(o) = -5*o - 1. Give u*x(s) + q(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9619 - -0.0143. What is z rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 21*r**3\/5 - 61002*r**2 + 1107556668*r\/5 - 316419864\/5 = 0?\nAnswer: 2\/7, 7262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -1)*(-7 + 8). Suppose r - m = -r. Suppose 239 = 3*z - 4*w, -r*z - w + 158 = 6. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1327621786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in 7, 2\/3, -2.8, 0.5, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -236*l**2 + 2*l - 315. Let k(d) = -4*d**2 - d + 2. Let t(u) = g(u) + 2*k(u). What is the derivative of t(p) wrt p?\nAnswer: -488*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1.2601.\nAnswer: -0.12601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1163363 - -3?\nAnswer: -1163360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -37. Let t(h) = 4 + 5*h - 22*h**2 - 3 + 21*h**a. Let f be t(4). Solve 4*b = 2*w + 14, -f*b + 3 = -5*w - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 + 1573624*d + 59796268 = 0. What is d?\nAnswer: -1573586, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 91*d - 32 = -95*d, 4*s - 5*d = -9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -684 + 673. Let o(t) = 2*t + 0*t - 6*t + 11. Let k(m) = -20*m + 55. Let v(n) = s*o(n) + 2*k(n). Differentiate v(l) with respect to l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0 + 0*l**6 + 0*l + 0*l**7 - 3\/112*l**8 + 0*l**3 + 11\/60*l**5 - 3*l**2 + 0*l**4. What is the third derivative of y(z) wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47512321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/24 - 2*w**2. Let d(s) = 21*s**2. Give d(p(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 - (-4 - 99). Suppose 5*h - 47 = s. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjcccjccjjjcjcjffffj. Give prob of sequence jccf.\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/3)*u)**(1\/45)*(u*(u\/(u*u\/(u*u\/((u*u**0*u)\/u))))\/u*u*u)**10 assuming u is positive.\nAnswer: u**(2707\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 - 3*u - 4. Let w be (1\/2)\/((198\/12)\/(-33)). Give k(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 603*f**2 + 709*f**2 - 1232*f**2. Let a(g) be the third derivative of g**4\/24 - 5*g**2. What is a(m(h))?\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -258700 greater than or equal to -1034803\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Suppose 0*w - 8 = -s*w. Suppose 7*m - w*m = 0. Solve m*f - 3*f = 3*q + 6, f + 3*q + 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + 56.3. Let m = 54 - k. What is the third biggest value in 1\/4, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041484157 rounded to 4 dps?\nAnswer: 0.0415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008331 rounded to 4 dps?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = -2*z, 5*a + 11 = 4*z - 10. Let h be 3\/(a + 91\/90). Suppose c + 4*c + 5*n = h, 3*n - 12 = 0. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -69. Let f = -5 + 9. Suppose -3*s + 21 = -f*i, 2 + l = -4*i. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 - 10*b**3 + 2*b**3.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -326665682, -326665683, -326665684?\n\"Answer: -o - 326665681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55166 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1190602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112.4 + -112.4. Put -2, -2\/3, 1, -22, c in descending order.\nAnswer: 1, c, -2\/3, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose 5*b = 34 + 31. Let i = 8 - b. Put j, -2, i in descending order.\nAnswer: j, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/sqrt(144) + (sqrt(76) + sqrt(19) + 1)**2 + -4 + (4*(2*sqrt(190) - sqrt(190)))\/(sqrt(490) - (sqrt(490) - sqrt(490)*-2)).\nAnswer: 167*sqrt(19)\/28 + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.114 + 0.014. What is the smallest value in -0.2, 1\/6, k, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwweewwweewwww. What is prob of sequence www?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 - 24*g**3 - 44*g**2 - 24*g = 0. What is g?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:44 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (572\/11)\/(((-19)\/(323\/34))\/(7\/(-7)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen sevenths of a week in hours?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 275226062 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = -5. Suppose -n*b - 14 = -4*q - 4*b, 17 = 3*q - 5*b. Suppose 48 - 3 = o - q*z, -2*o + 65 = -3*z. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 3*h + 1 - 20, t - h - 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (280 - 0)*2\/4. What is the greatest common divisor of 3220 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/2 (b) -5 (c) 0.02 (d) -0.2 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-58)\/(-2) - (0 + -2) is divided by (-114)\/(-7) - 16\/56.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 204134 - 0?\nAnswer: 204134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 x when three letters picked without replacement from vdxxxddddduxxdxx.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/12 - 4*n**3\/3 - 11*n. What is c(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13833, -27679, -41525, -55371?\n\"Answer: -13846*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 26 + 27)*(-3 + 2*f - 3 + 5).\nAnswer: 84*f - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -733\/42?\nAnswer: -733\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1079804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -17?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 12. Let s(o) = o**3 + 11*o**2 - 1. Let y be s(m). Sort -4, y, -3 in increasing order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 9) to base 12\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -580, -865, -1144, -1417, -1684, -1945?\nAnswer: -2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 967530 - 335458. Let k be (-2651888)\/(-6) + 2\/3. Suppose n = 3*g - k. Round g to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20720 by 56.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 4*h + 3. Let l be t(-3). Let z(s) = -112 + 29 + 26 + 2*s + 25 + 27. Give z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3*o + 557689600*l**3 + 17143379*l**2*o**2 with respect to o.\nAnswer: l**3 + 34286758*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**4 - 2*s**4 + 5*s**4)*(1 + 2 + 1) + s**4 + 2 + 19*s**3 - 5*s**3 - 12*s**3 to t*s**3 + a*s + p*s**4 + i*s**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/9)*a*a**(1\/15))\/(a**1)**(-7\/3))**50 assuming a is positive.\nAnswer: a**(1880\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose 0 = -v*i + 5*n + 35, 4*i - 13 - 13 = 2*n. Suppose -i*s = -s - 40. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 9*k**2 - 8*k + 9. Determine r(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 555. Let l be v(108). Suppose -19 - 6 = 5*i, -5*q = 3*i + 65. What is the tens digit of (q\/l + 1)*231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 107 = -18*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d**3 - 4*d**2 + 4. Suppose -4*i + 84 = -25*i. Let q(h) = 261*h**3 + 81*h**2 - 81. Calculate i*q(x) - 81*l(x).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 7*t**2 + t + 2*t**2)*(9*t + 11*t - 28*t).\nAnswer: -56*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 34371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6)*a*a*a**(1\/4)\/a*a*(a\/a**(-1\/3))**46)**(-28) assuming a is positive.\nAnswer: a**(-4921\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(17\/3)\/v)\/(v\/v**(-26))*v*v**(-1\/25)*v**20 assuming v is positive.\nAnswer: v**(47\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 11*r**2 - 14*r - 21. Suppose 18 = 4*k - 2*d, 0 = -2*k - 5*d + 10*d + 13. Suppose 2*f + 16 = -k*g, -g - 34 = 4*f - f. Give o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.0226, -3, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(175) + sqrt(175) + sqrt(175) + (sqrt(175) + -3*sqrt(175) + 4)**2 - sqrt(175)).\nAnswer: -70*sqrt(7) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 101. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n - 19. Let q be m(3). Calculate the greatest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*q + 2, 311*u - 4*q = 313*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2513 - 308 = 324*j - 1953 + 594 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 - 115.3. Suppose -3*t - m = 13, -5*m - 29 = t + 2*t. Which is the biggest value? (a) -2 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*-2 + 3 + 2. Suppose 4*g - 3*g = -w + 4, 0 = 4*g - w + l. What is the third biggest value in g, -8\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 32*i - 9. Let a be o(-17). What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-54))\/((-10)\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 418, 415, 412, 409, 406, 403?\n\"Answer: -3*v + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2. Let r(h) = 2. Let z(o) = -3. Let f(l) = -2. Let m(g) = -4*f(g) + 3*z(g). Let x(t) = m(t) + r(t). Let p = -2 - -3. Calculate p*c(s) + 2*x(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/13 (c) -0.2 (d) 3 (e) 0.0339\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392768, 392771, 392768, 392753, 392720?\nAnswer: 392663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*c**2 - 17*c - 6.\nAnswer: -(c + 1)*(11*c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + 21*f**2 + 9*f - 22. Let p be m(-10). Let g(x) = x**2 + 13*x + 34. Let q be g(p). What is the highest common divisor of 154 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 0.4 (c) -8\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 104*w**2 - 2 - 106*w**2 + 215*w as m + c*w**2 + b*w and give b.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 956 and 265.\nAnswer: 253340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5876)\/(-315835))\/((-2)\/5).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - -70 - (-17 + -2 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 901636 and 1484.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqzeezteqqeelqq. What is prob of picking 2 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/42 + 11*j**6\/15 - 73*j**5\/20 + 25*j**4\/6 + j - 255. Factor c(h).\nAnswer: h**2*(h - 2)*(h - 1)*(h + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:29 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1756268, 1756208, 1756146, 1756082, 1756016, 1755948, 1755878?\n\"Answer: -l**2 - 57*l + 1756326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 + -176. Let f = 3 - 2. Put q, f, -4, 5 in descending order.\nAnswer: 5, f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 3*u)*(-24539 + 48329 - 24231) - 2*u - 3*u + 4*u.\nAnswer: 881*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 7. Let w be m(-5). Solve 0*g - 4 = w*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-333 - -307) + 2\/(1 + (-15)\/21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46134 and -53.\nAnswer: -46187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(133) + 2*sqrt(133)*3)*3)\/(-6*4*(sqrt(567) + sqrt(567)*2)).\nAnswer: -35*sqrt(19)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2989, 3, -3, -4 in ascending order.\nAnswer: -2989, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 40?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*i**2*p**2*w - 2*i**2*p*w**2 + 14*i**2*w**3 - i*p**2*w**2 + 2*i*w - 253*p*w**3 wrt i?\nAnswer: 38*p**2*w - 4*p*w**2 + 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27.4? (a) -2 (b) 19 (c) -7 (d) 10 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12789245 to the nearest integer?\nAnswer: 3576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/2))\/h)**(2\/51)\/(h**(-2\/11)*h\/h**(-2\/5)) assuming h is positive.\nAnswer: h**(-3472\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000055363 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3 - 438*b**2 + 47520*b + 96800 = 0.\nAnswer: -2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 4292. Let h be v(0). Suppose -8*n + 10724 = -h. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021902144 to 7 decimal places.\nAnswer: -0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-2\/3)*w)*w)**(-4)\/(w**(4\/3)*w*w\/(w*w*w\/w**(-2))) assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34702 + 27924. What are the prime factors of w?\nAnswer: 2, 173, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -430, -426, -420, -412?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2538 and -0.03.\nAnswer: -76.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 + (10 - (4 + (17 - 9)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a*a**(-15)))\/a)*a)**(-49) assuming a is positive.\nAnswer: a**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:17 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + -2 + 1 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/2? (a) 70519 (b) -11 (c) -0.1 (d) -0.2 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2056, -2046, -2036?\nAnswer: -2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 88*d - 33. Let y(m) = 175*m - 68. Let a(t) = 9*u(t) - 4*y(t). What are the prime factors of a(3)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -75.7. Let g = b - 5.7. Let z be 16\/(-10)*(-25)\/10. What is the nearest to 2\/5 in g, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*g + 40, 4*g - b = 6*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 146099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -46. Which is the closest to -2\/9? (a) -5 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 40 + 48)*(46*k + 637 - 637)*(2*k**2 + k**2 - 5*k**2).\nAnswer: 736*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16936124 divided by 4234031?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(13))**2 - (sqrt(208)*-2)**2.\nAnswer: -815 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((135\/(-20))\/9)\/(6\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/((-260)\/(-8)) + 526\/(-10). Let u = -50 - v. Find the third derivative of 25*i**u + 25*i**2 - 18*i**3 - 22*i**3 wrt i.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73871779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3363*w**3 + 301 - 3*w**2 - 301 - 3501*w**3 + 3*w**2.\nAnswer: -138*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 11. Let q(j) = 2*j**2 + 19*j + 24. Let o be q(-8). Suppose -3*b = 12, 3*l - 3*b - 42 = -o*b. Give n(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 1. Suppose 10 = -5*n + 5*x, -4*n - x - 4 = -4*x. Let b be m(n). Solve 5*h - 4*a - 16 = 0, -b*h + 0*a + 2*a = -10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - 1032\/(-96)) + 14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -637 - -632. Sort -74, m, 4, 2, -4 in increasing order.\nAnswer: -74, m, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484391 and 62389?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 104, 2.\nAnswer: 2, 4, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -215*l**3 + 331*l**2 + 249. Find the second derivative of j(k) wrt k.\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1965334?\nAnswer: 2, 7, 140381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 (base 14) in base 4?\nAnswer: 311023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.2 (b) 1.3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t + 131. Let h be x(18). Suppose -5*w - 325 = -3*n - 0*w, h*w - 410 = -4*n. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 332271 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + sqrt(171) + 0 - (sqrt(171) + (sqrt(171) - (sqrt(171) - (sqrt(171) + (sqrt(171) + -1)**2))) + 3)).\nAnswer: -174 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 13484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5292*b - 27*b**2 + 5292*b)*(-4*b + 2*b + 0*b).\nAnswer: 54*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23813933 divided by 1?\nAnswer: -23813933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2136426 - -19247678\/9. Let t = u - 2209. What is the common denominator of -21 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrcr when four letters picked without replacement from {n: 2, q: 1, c: 2, a: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111010011 - 10000111?\nAnswer: -110001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353.1 - 336. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 - 7*m**2 + m + m.\nAnswer: 5*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 42270624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -7. Let f(l) = 25*l**2 + 6*l + 7. Let z(s) = 6*s**2 - s + 1. Let g(u) = -3*u - 7. Let o be g(-1). Let h(t) = o*z(t) + f(t). Determine h(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3481 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2. Let z(l) be the second derivative of 65*l**3 + 184*l. What is b(z(v))?\nAnswer: 304200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2276313*h**2 - 4960438*h wrt h?\nAnswer: -4552626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*p - 16. Suppose p = 10*j - 324. Suppose j = 4*a - 6. Solve 5*g + 10 = 0, -2*b + a = -0*b - 2*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.702 take away -7.05?\nAnswer: 14.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -34. Solve -y*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 56. Let m(p) = -61 - 5*p + r*p + 28. Let j(q) = -q**2. Calculate m(j(t)).\nAnswer: t**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1027770 - 1789076 - 4265254 = -183*t. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-662)\/(-14) + 5\/((-105)\/6). Let g = 58 + u. What is the greatest common factor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 19122.\nAnswer: -1\/19122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1205 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + -8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315460?\nAnswer: 2, 5, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 5\/6, 1 in descending order.\nAnswer: 3, 1, 5\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*o + 1117*o + 29*o to a + m*o and give m.\nAnswer: 1169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127 (base 11) to base 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4675, -9392, -14193, -19120, -24215, -29520, -35077, -40928?\nAnswer: -47115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 14. Let c = 1 - p. Suppose -18 = -5*z + 2*z. What is the remainder when c is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 1. Let y be g(5). Suppose -3*c + 2 = d, -c - 4*d = -0*d - 8. Sort 2, y, c in decreasing order.\nAnswer: 2, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/19)*t*t**(-7))**(-35) assuming t is positive.\nAnswer: t**(3255\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.7 + -13. Let a = -7 - q. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 17*t + 5*j - 0*j, t - 169 = 3*j - 176 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 12 - 14 - 13*t + 4*t**2)*(14*t - 4*t + 0*t + (t - 3*t + t)*(3 - 4 + 0) + 2 + t - 2).\nAnswer: 24*t**3 - 156*t**2 - 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 469173942 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2, -5*u = -0*u + 274*t - 280*t - 124 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0139, 2\/7, 41, -0.11?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v + 4*k - 68, 3*v - 5*k + 31 = -0*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-44)\/48 + (-2)\/(-8))*-6. Suppose -3*g + q*f = -138, 0 = 2*g - 4*f - 54 - 38. Calculate the highest common factor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o*t**3 - 7*o*t**2 - 6*o*t - 2*t**3 - 17 wrt t?\nAnswer: -18*o*t - 14*o - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/87))**(1\/80) assuming u is positive.\nAnswer: u**(1\/3480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from rii.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 4*a**2 - 2*a - 6. Let u be s(-5). Let l = 34 - u. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 39*f + 45 = 0. Suppose -2*t + 8 = 0, 0 = -12*s + f*s - 2*t + 32. What is the lowest common multiple of 150\/(-3 - -8) - 2 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47 + 7*r + 47 + (6 - 3 - 1)*(-2*r - r + r) + 3*r + 30 - 30 + 5*r - 4*r - 5*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -376 + 372.636. Let w = -3.27396 - q. Let r = -0.09 + w. Round r to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 827 + 10*a**2 + 3*a**2 - 827. Let w(t) = -2*t**2 - 123. What is n(w(u))?\nAnswer: 52*u**4 + 6396*u**2 + 196677","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 84307032?\nAnswer: 84307032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 118. Let n be ((-19)\/(-4))\/(((-261)\/(-72))\/h). Solve 0 = 13*r + 1 + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2156)\/2058 - (-16)\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 26.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/12 + 2*b**3 - 20*b**2. Let r(j) be the first derivative of s(j). Let m(v) = 2*v**2. What is m(r(u))?\nAnswer: 1800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 7:11 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/39 or -24451?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + b - 1. Let u be x(1). Let g be 1*u\/(-2)*0. Let r(w) = -w. Determine r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(35)\/(sqrt(14)\/sqrt(2))*3.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/3616 and -7\/3552?\nAnswer: 401376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5\/5 + 7792*c**4\/5 + 114536*c**3\/5 - 2786032*c**2\/5 + 2018052*c = 0. What is c?\nAnswer: -1933, -29, 0, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 1, k: 1, s: 8, d: 2}. Give prob of picking 1 d, 1 c, and 1 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -272115?\nAnswer: -272119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**3 + 37*i**3 - 13*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-32)\/(-6))\/2. Let k be (-26)\/(-6) + (-34)\/(-51). Suppose 3*u = n - 6*n + 24, -k*n - u + 18 = 0. Solve 2 + v = 5*z, -5*z - 2 = -n*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 5811812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57907820 to the nearest integer?\nAnswer: 7610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t - 3*t)*(-32*t - 13*t - 30 + 41*t).\nAnswer: 8*t**2 + 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g**2 + 78*g + 14. Let u be l(-7). Is 47\/7 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**6\/3 - 4*k**5\/5 - k**4\/2 + 4*k**3\/3 - 33. Factor n(f).\nAnswer: 2*f**2*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3252 = -3*w - 3*o, 5*w - 5350 = -10*o + 19*o. Do 1080 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53037408?\nAnswer: 2, 3, 552473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4479 - -4473. Let y(g) = 2 - 2*g**3 + 7*g**2 + 3*g**3 + 5*g - 4. Give y(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - 1. Suppose -p - p + 8 = 0. Let a(z) = p*z - 3*z + 4*z - 1 - 10*z. What is 3*a(f) - 2*h(f)?\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyytthyrerr. What is prob of sequence eho?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**3 - y**2 + 1. Let q be d(-1). Let o(k) = k**2 + 7*k - 11. Is o(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-108)*-2*1\/1. Which is the fifth biggest value? (a) -0.86 (b) 2 (c) t (d) 1\/2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from daqiqaiqqqadqaqqa.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6939 - 6940. Are r and 1\/308 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 19 - 19. Put -5, 5, a, 2 in decreasing order.\nAnswer: 5, 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from fjjffjjjff?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116697*23.\nAnswer: -2684031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 + 53 = 71*v. Let l(s) be the first derivative of 5\/3*s**3 - 5*s**v - 5 + 0*s. Factor l(d).\nAnswer: 5*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-357840)\/(-8520))\/((-3)\/8*2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 14\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**2. Let u be 3\/(-6) - (-15)\/10. Let r(o) = 2 - 1 + 3*o - u. What is r(v(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28826, -55173, -81520, -107867?\n\"Answer: -26347*x - 2479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 14*a + 8. Let z be l(7). Let r(q) = 8 + 49*q + z - 46*q. Does 5 divide r(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 302239, 303757, 305275, 306793, 308311?\n\"Answer: 1518*s + 300721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 17 = -q. Suppose 17*o - 21 = 19*o - x, 2*x + 48 = -5*o. Find the common denominator of o\/((q\/(-5))\/(-1)) and 46\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m**2 - 38*m**2 + 21*m**3 + 11*m**2 - 3*m.\nAnswer: 21*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2512003, -2511999, -2511983, -2511949, -2511891, -2511803?\nAnswer: -2511679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 9. Let s be r(-7). Suppose 0 = -2*v - 3*d + s, 0*v - d - 17 = -4*v. Which is the nearest to 3? (a) v (b) 1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44500.345 rounded to the nearest one hundred?\nAnswer: 44500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/25 - -1363\/1300. What is the common denominator of m and 53\/(-2)*2\/(-22)?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16882530.\nAnswer: 2, 3, 5, 7, 17, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627619 + 1064750 = -18117*c + 279243 for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 8:00 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.61, -32, 0.012, -1\/6?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140005?\nAnswer: 5, 41, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswwwswwswwwwwssww. What is prob of sequence wsw?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s. Let p(a) = 3*a**3 - 7*a**2 + 3*a + 3. Let t be p(2). Let f = -7 + t. Calculate the remainder when m(f) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/15*m + 6\/5*m**3 + 2\/15 + 2*m**2 = 0. What is m?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x + 2*c + 30, -3*x - 4*c = -24. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m. Let t(f) = -21*f**2. Let w(n) = 10*n**2. Let q(a) = 2*t(a) + 5*w(a). Determine v(q(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 24125 = -35023. What are the prime factors of i?\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229513 (base 12) in base 13?\nAnswer: 165a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 74845 = -14*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2535*k*s**3 - 25*k + 42293*s**3 - 953965*s wrt s.\nAnswer: -15210*k*s + 253758*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036019 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27481001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/250326 and 46\/236419.\nAnswer: 4255542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 5, p: 6, f: 3}. What is prob of sequence mp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2175.7 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 165475 (base 15) to base 2\nAnswer: 100000111111010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.17 - -0.17. Let s = -28 + f. Let x = s - -88.7. What is the smallest value in x, -3, 0, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**8\/20160 + 7*j**5\/60 - 11*j**2. Let b(i) be the third derivative of d(i). Let t(p) = 3*p**2 + p - p. Determine t(b(g)).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1191543800 to the nearest one million.\nAnswer: -1192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -64. Let f(s) = -s**3 - 15*s**2 + 2*s - 35. Let h be f(p). Suppose -15*d + 76 + h = 0. What is the remainder when d is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3815, -3835, -3863, -3893, -3919, -3935, -3935?\n\"Answer: u**3 - 10*u**2 + 3*u - 3809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 5:02 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-75) - 116\/(-30). Solve 0 = b*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbyybybbybhh. Give prob of picking 1 y and 1 h.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 8*c - 30. Suppose -2*q + 2*t = -c*q + 40, -3*t + 42 = 4*q. Suppose q = -y + 139. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 25 = 5*l + 3*t, 0 = 4*l - 5*t - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 16) to base 2\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932705.5 meters to millimeters.\nAnswer: 932705500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 9*p**2 - 8*p + 14. What is the tens digit of d(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*f + 29*f - 124246. What is the remainder when f is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(18 - 18 - 4*a) - 23*a + 27*a - 23*a.\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -96514*i - 386056. Calculate m(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5147725.\nAnswer: 5, 11, 18719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1332 - -0.0668. Which is the nearest to -2\/7? (a) 3 (b) z (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 4*p + 1. Let g be q(-5). Suppose 0 = d - 5*h - 15, 0 = -5*d - 4*h + 104. Solve g*b + d = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1236 - 3061*b + 317 + 3064*b.\nAnswer: 3*b - 919","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one halves of a milligram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198146, -197735, -197324?\nAnswer: -196913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 333 + -326. Let m(s) be the third derivative of -2\/5*s**6 + 0*s + 12*s**2 + 6\/35*s**v - 1\/3*s**4 + 0*s**3 + 0 - 11\/15*s**5. Factor m(h).\nAnswer: 4*h*(h - 2)*(3*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1421 (base 11) to base 8.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1589504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 4, 338 in increasing order.\nAnswer: -3, 4, 11, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 11:34 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/27 and -47\/2640?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 630 + 14*g - 312 - 319 + 0 + 2*g + 0 + (2*g - 3*g + 2*g)*(1 + 1 - 3) + 0*g + g - 3*g.\nAnswer: 13*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11993 or -11994?\nAnswer: -11993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228767976.\nAnswer: 2, 10369, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/48 and 32\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**4 + 4*q**3 - 15*q**2 + 20*q - 5. Let v(x) = -5*x**4 + 3*x**3 - 14*x**2 + 20*x - 4. Let h(o) = 4*p(o) - 3*v(o). Solve h(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.009\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 16*m - 418. What is the least common multiple of m and 11324?\nAnswer: 101916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.2. Let y = 0 - -0.2. Sort 2, y, j.\nAnswer: j, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -24.32013\nAnswer: -1.7024091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (4 + -1 - 3) + 553 + -613.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 231045*a*q - 19*a - 59532*q + 23 wrt a.\nAnswer: 231045*q - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68808959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sesshwsewewqsy. Give prob of sequence ew.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(3 - (5 - 3)). Put 0, u, 1 in decreasing order.\nAnswer: u, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 4*w**2 + 2*w - 3. What is h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2987)\/3948 + (-5)\/(-15). Let l = -1\/188 + i. Let q = l - -29\/35. Is q equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.013 - -0.113. Which is the nearest to q? (a) 3\/19 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2 - 10*h**2 - 4*h + 3*h**2 - 2*h + 3. Let v(p) be the third derivative of -p**5\/3 - 17*p**4\/24 + 7*p**3\/3 - 28*p**2. Determine 6*v(u) - 17*w(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/((16\/(-12))\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.279115455 and -3.\nAnswer: -1.720884545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 + 104 = -j, 2*l + 4*j - 40 = 0. Solve -5*h = -5*u + l, 3*h + 8 = 2*u - 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/4, 1\/3, 5 in decreasing order.\nAnswer: 5, 1\/3, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*((-3096)\/276 - -11).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 9*f - 21. Let l = -65 - -63. Let d be h(l). Solve -i + 0*u - 5 = d*u, 0 = 3*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/119, -9, -2\/7, -4 in descending order.\nAnswer: -2\/119, -2\/7, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5412000 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -340, -336, -326, -310, -288?\n\"Answer: 3*o**2 - 5*o - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -15*v + 2*a, -66542*v + 66540*v - 50 = 5*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 4*a - 1. Let s be g(4). Let v(m) be the third derivative of 0*m**3 + 0*m + 0 - 6*m**2 - 1\/8*m**4. Let n(k) = -k. What is s*v(i) + 5*n(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - 5*m - 3. Let b be w(-3). Let z be 3*(-2 - b\/9). Let j = -4 + z. Is j smaller than -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 2*k - 10 - 11 + 2*k**3 - 4*k**3 + 12*k as a*k**2 + t*k + p + w*k**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.3835 decades in months?\nAnswer: 49846.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 38, 4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12638*q*v**2 - q*v + 75*q + 244*v**2 - 2*v + 27606 wrt q.\nAnswer: -12638*v**2 - v + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 + 5*v**2 - 6*v**2)*(73*v + 175*v + 92*v) + (-3 - 2*v + 3)*(v - v + 2*v**2) + 0 + 0 - 2*v**3 as c*v**2 + y*v**3 + t*v + r and give y.\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-25 + 17 + 18 - 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56.8 + 51.8. Let q = -1.11 - -0.11. Which is the closest to u? (a) -1\/4 (b) q (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**5\/60 + p**4\/24 + 7*p**3\/6 + 7*p**2\/2 + 21. Let n(h) be the second derivative of r(h). Let i(x) = -1. Give 5*i(w) + n(w).\nAnswer: -w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1115084\/77 + 14482. Find the common denominator of 71\/44 and c.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-10)\/q*q)*((q\/q**7*q)\/q)\/q)\/(q\/(q**(-2\/7)*q)*q\/(q**10*q)*q) assuming q is positive.\nAnswer: q**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775 = -2*h - 3*v, 25 = -25*v + 20*v. Let a = h + -301. Calculate the greatest common divisor of 235 and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 16 - 2. Let b(i) = -2*i**2 - 4*i**2 + 0*i**2 + c*i**2. Let d(w) = 2*w**2. Determine b(d(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -114 + 5?\nAnswer: -10f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 22. Let f be a(-7). Let l(c) = -39 + 9 + 11*c - f*c + 13*c. Calculate the smallest common multiple of 9 and l(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/8694 and -151\/336.\nAnswer: 69552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 3*i**4 - 11*i - 13. What is the derivative of a(r) wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 27. Let k be 9\/p*(-832)\/(-78). What is the second derivative of k*d - 4*d**2 + d**2 - 12*d**2 - 4*d**2 wrt d?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*o + 14000 + 11728. Is -1073 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/3 - m**3\/6 + 7*m. Let s(p) = -9*p**2 + 3*p + 1. Determine 5*l(h) + 2*s(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 7*h. Let l be j(7). Suppose l = -3*c + 2*c + 6. Solve 2*r = 5*r + c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 10*m**2 - 7*m - 1. Let a be h(-11). Let b = -44 - a. Solve -2 = -z + 4*j + b, -j - 3 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from zzzgzgzzgzg?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let g = 0.159 + 0.051. Let l = -0.11 + g. Which is the third smallest value? (a) -2 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-6800)\/(-15)*18\/168*21 and 30.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11602, 88, 3, 44 in ascending order.\nAnswer: -11602, 3, 44, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = -4*i, 3*i = 2*i + 2*x - 4. Let t = i - -6. Find the common denominator of -65\/3 and (-267)\/27 + 4\/t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 38701\/208 + ((-5)\/5)\/16. Do q and 1869\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/27)\/(234\/(-27) - (-7 - (-66)\/6))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.07\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jggoff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from wqqwwqt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -97. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2059628 or 2059638?\nAnswer: 2059628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Suppose -4*g = -y*g + 84. Let q = 29 + g. Solve 0*c + q = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/1875*-25*-5*1\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/12 - 25*d**5\/12 + 5*d**4 + 165*d**3\/2 + 5*d**2 - 37*d. What is c in n(c) = 0?\nAnswer: -3\/2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 60 = -19*m. What are the prime factors of 1089\/m + 2\/5?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 2632824?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:07 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749300?\nAnswer: 2, 5, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*p + 333 = -90*p. Sort -5, p, -2, 5 in increasing order.\nAnswer: -5, -2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 61*o**2 + 59*o - 11. Let v(u) = -31*u**2 - 29*u + 6. Let d(k) = -6*r(k) - 11*v(k). What is the second derivative of d(j) wrt j?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = 21. What are the prime factors of c\/(-15)*(-48 - 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36918497?\nAnswer: 7, 11, 479461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j + 0*j)*(-4*j**2 + 4*j - 4*j)*(11*j**2 - 4*j + 4*j).\nAnswer: -132*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**2 - 15*c**2 + 24 - 22.\nAnswer: -32*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 - 2. Let w = -115 + 69. Let t = w + 50. Which is the smallest value? (a) d (b) -10 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12579 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187068 = x + 6*x. Let l be 10\/12 + (-22321)\/x. Is 0 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0 (c) -0.5 (d) -1039\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((231\/(-28))\/(-11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1987 = -2*l + 3*c + 937, 2*l - 5*c = 2932. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:27 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1836132 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/30 + 4*a**5\/5 - 33*a**4\/2 + 108*a**3 + 133*a**2. Find p, given that w(p) = 0.\nAnswer: -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102200010220 (base 4) in base 5?\nAnswer: 2220144320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240459 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1903955.3918 from 0.2.\nAnswer: 1903955.5918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 437220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)\/sqrt(2))\/sqrt(7)*4.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -567 + 567.000242. Round d to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:47 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p + 1. Let q(c) = 14*c - 1. Suppose -b - 2*b = -5*h + 28, -h - b + 4 = 0. Let a(f) = h*q(f) + 4*y(f). Calculate a(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -67?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6140288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 3*n + 101. What is o(0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -0*v + 6*v. Suppose -831 - 1608 = -v*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2925)\/(-273) - (-2 + 13)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20919.9 * 3.3.\nAnswer: 69035.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11613 - 232347\/20. What is the common denominator of 67\/20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/14784 and -59\/361161024.\nAnswer: 3972771264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 - 9 + 0 - 4 - h. Give w(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -14. Let w = f - -0.4. Let n be 6\/((-3)\/1) - 1. What is the biggest value in 0, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*d = 3*t + 169, 0 = 5*t + 3*d - 191. Let s = t - 24. Calculate the remainder when 41 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 8:04 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/15 - 3207388*l**2\/15 - 2138254*l\/5 + 3207384\/5 = 0 for l.\nAnswer: -1603692, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138067226.\nAnswer: 2, 11, 53, 118411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 313.779 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(-2 + 2 - 1)*(22*z - 6*z + 24*z) to the form o + f*z and give f.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - j + 5. Let k be b(5). Suppose 17 = q + 4*g, -4*g = -5*q - 9*g + k. Is (-312)\/(-16) + q\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-672)\/(-15) - 3 - (-3)\/15 and (20\/15)\/(84\/441)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 92*m**2 - 815*m - 7. What is w(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 4*r + 53. Let x be h(6). What is the smallest value in -2, 0.25, -0.2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g + 2*d + 130 = 0, -4*d + 26 = 4*g - 8*d + 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 231247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -226032, -4 in increasing order.\nAnswer: -226032, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 12*w**2 - 11*w + 15. Calculate i(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3080396.\nAnswer: 2, 11, 70009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192960788.\nAnswer: 2, 2083, 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 612802 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 + 7*p - 6. Let b be u(6). Suppose b*z - 20 = -2*z. Let f be (4290\/273)\/((-3)\/(-21)). What is the highest common factor of z and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -4, 43, 0.03, 2\/17, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b. Let d be c(0). Let k(q) = -q - 2. Let o be k(-2). Let d*g**3 + 2\/5*g**4 - 2\/5*g**2 + o*g + 0 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2818 rounded to 2 decimal places?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let f(h) = 2*h**2 + h**i - 5*h**2. Let d(p) = 2*p**2 - 2*p + 2. Let v(n) = n**2 + n - 1. Let o(c) = d(c) + 2*v(c). Determine o(f(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*k + 4*u, 23 = 4*k + u. Suppose k*q - 8 = 7. Suppose p - q - 1 = 0. Solve p*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*i + 10, -3*i = 4*t - 7*i - 20. Suppose -3 = 5*w - t*z + 3*z, z + 1 = 0. Suppose 5*m - 2 - 13 = w. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*c - 117 + 15, -4*a = -2*c - 40. Let g = c + 32. Calculate the remainder when 29 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 19. Determine r(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 3*x + 2. Let q(a) = -10*a**2 - 10*a - 7. Let o(i) = -7*l(i) - 2*q(i). What is o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((2\/(-13))\/(-47 + 25494\/546))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {x: 7, o: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 784 and 2588264?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -146, -503, -1194, -2327, -4010?\n\"Answer: -18*w**3 - 5*w**2 + 10*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/45)\/((-20336)\/(-1116))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 22. Let r = -10 - -20. What is the remainder when x(10) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(2 - 5 + 4)*(3*k**2 + 3*k**2 + 0*k**2)*(-4*k + 4*k - 2*k)*(0 + 0 - k).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-106)\/(-4))\/((-2)\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9259627?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 - 124470*i**2 + 2*i + 124470 = 0 for i.\nAnswer: -62235, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70868, -141576, -212262, -282920, -353544, -424128, -494666, -565152?\n\"Answer: f**3 + 5*f**2 - 70730*f - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w - 2*w + 0*w)*(-w + 5*w - 2*w) - 3*w**2 + 0*w**2 + w**2 + 3 - 3 + w**2 - 2*w**2 - 2*w + 2*w)*(0 - 3 + 1).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1)\/(-5)*(50 - 15). Suppose -5*m - s*q = -4*q - 215, 2*m + 2*q = 86. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, c: 2}. What is prob of picking 3 d?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -284*j**2 + 524*j. Let z(x) = -283*x**2 + 523*x. Let a(f) = 4*r(f) - 3*z(f). Find the second derivative of a(k) wrt k.\nAnswer: -574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, 5, -5, -4.\nAnswer: -5, -4, 1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b + 22278*b**2 + 30*b + b - 2*b.\nAnswer: 22278*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57878 + 57878 - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*u - 28, -g + 3*g - u - 19 = 0. Calculate the smallest common multiple of g and (2 - -2)*(4 - (-18)\/(-12)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*s + 288*s + 11 = -3*w, -16*s + 12 = -4*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 115.863 and -0.038743115.\nAnswer: 115.824256885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuyyu. What is prob of picking 1 y and 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215317867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 234 + -12?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 7. Let w(u) = u + 11. Let s(f) = f + 6. Let p(k) = -5*s(k) + 2*w(k). Let v = -2248 + 2244. What is v*x(c) - 3*p(c)?\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -0.11, 1\/93, 0.06?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*l + 45*l - 7 - 3 - 87*l**2 + 89*l**2 + 3*l**3 to the form h + c*l + g*l**2 + t*l**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + s - 4*s + (-2 + 3 - 3)*(3652*s + 3213*s - 3613*s) + (2*s - 2*s - s)*(2 - 7 + 3) - s + 3*s + 0*s.\nAnswer: -6502*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 111222210?\nAnswer: -111222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c + 4 - 25*c + 13*c)*(-127*c**2 - 173*c**2 + 48*c**2).\nAnswer: 504*c**3 - 1008*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -620, 2, -2, -4, -1, -207 in descending order.\nAnswer: 2, -1, -2, -4, -207, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*d**2 + 12317*d - 2851328 wrt d?\nAnswer: -274*d + 12317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 33*u = 35*u - 132, 5*a = -5*u + 30 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 6148?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(9))\/sqrt(3)*6 + (sqrt(3) + (sqrt(9)\/sqrt(3))**2 + sqrt(3) + -5 - (sqrt(9)\/sqrt(3) + -2)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 128\/576 - (-13)\/(-18) - (-6)\/4. Let d(f) = -5*f + 1. Let b(g) be the third derivative of g**4\/24 - 5*g**2. Give n*d(a) + 2*b(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 36*u - 5*u - 86. Let r(k) = 12 + 6*k + 16*k - k. List the prime factors of r(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 - 3.05?\nAnswer: 477.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/2, -19, -1779, -1 in ascending order.\nAnswer: -1779, -19, -1, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 39 - (11 + 2) - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f - 13*f - 91*f. Let w(x) = -3*x**2 - 36. Let i(y) = -2*y**2 - 18. Let t(v) = -4*i(v) + 2*w(v). What is d(t(o))?\nAnswer: -234*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {r: 2, x: 3, u: 2, l: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*a + u - 16, -29 = -2*a - u. Suppose 2*w - a = 12. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346825.8 months in centuries?\nAnswer: 289.0215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 53*d**2 + 228*d + 12084. Let b be c(-53). Suppose -4*y = 49 - 305. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3148, -2888, -2456, -1852, -1076, -128, 992?\n\"Answer: 86*d**2 + 2*d - 3236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170239104 is divided by 89.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 11 + -9 + (-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1536)*2 - sqrt(1536)) + sqrt(24) - sqrt(24))\/(6*sqrt(432)) + (sqrt(20) - sqrt(100)\/(sqrt(125) - sqrt(5)))\/(-6*sqrt(50)\/sqrt(5)).\nAnswer: -5 + 7*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + -73. Let t(i) = i - 2. Let x(q) = 2. Give v*x(b) + 3*t(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -354*g - 118. Let c(b) = -23*b - 8. Let f(d) = 59*c(d) - 4*u(d). Let l(q) = -2*q. What is l(f(y))?\nAnswer: -118*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {x: 1, v: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.1 (b) -0.2 (c) -0.02 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 6*n + 6. Let m(a) = a**2 + a + 1. Let k(y) = -12*m(y) + 2*q(y). Let s(p) be the second derivative of -p**4\/6 + 10*p. Give s(k(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5610 divided by 672?\nAnswer: 935\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 113*i**7\/5 - 201*i**4\/8 - i**3\/6 + 3017*i**2 + 2. Find the second derivative of z(q) wrt q.\nAnswer: 56952*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 + 0 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 + -122. Let n = 0 - 8. Let v be -4*(12\/n - -1). What is the second biggest value in m, v, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 4158540?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50925270.7 rounded to the nearest ten thousand?\nAnswer: 50930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12955041*i**3*l**3 + 2*i**3 + 69*i**2*l - 2*i*l**2 - 2*l - 13999 wrt l?\nAnswer: 77730246*i**3*l - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 63*r - 264 = 0. Let q(j) be the first derivative of 0*j + 1\/2*j**2 + r. Let y(v) = -5*v**2. Calculate q(y(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32940 (base 11) to base 13.\nAnswer: -18948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 132, 198, 264, 330, 396?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9490 + -9489.4927. Round o to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-98)\/14 - 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 33*a - 64*a + 31*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t - 13825 + 64760 = 0. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1521243, 1521150, 1521043, 1520916, 1520763, 1520578, 1520355?\n\"Answer: -g**3 - g**2 - 83*g + 1521328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14800, 29655, 44510, 59365?\n\"Answer: 14855*i - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 0, 10, 5, -40 in increasing order.\nAnswer: -40, 0, 1, 5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1727376 is divided by 764.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**4*i**3 + 28*h**4 + h**3*i + 4*h**3 - 2591*h**2*i**3 - 4*h**2 wrt h?\nAnswer: -144*h*i**3 + 672*h + 6*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*c - 375*c**3 + 47*c.\nAnswer: -375*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-17))\/(1\/(-1)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 10:33 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 + 2*d + 2. Let v be f(-1). Suppose -2*x = -10*x + 528. What is the tens digit of 10086\/x - v\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = -4*z, z - 3*j - 967 = -955. Factor 432\/5*v + 1728\/5 + 1\/5*v**z + 36\/5*v**2.\nAnswer: (v + 12)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s - 4*y + 8, 6 = -s + 3*y. Let z be (4\/6)\/((-1)\/(-6)). Let b be (s + 2)*z\/2. Sort 0, b, 5.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2114 = -922*k + 8898 + 52 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*6\/(-75)*-30. Let y(s) = -5*s - 16. What are the prime factors of y(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**3 - 5*v**4 + 6*v**3)*(-105 - 141 - 558).\nAnswer: 4020*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*x + 2 - 712*x - 1963*x.\nAnswer: -2744*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 - 5*u + 8. Let a be b(6). Let -3 + a*f**4 - 20*f**3 + 3 - 9*f**4 + 20*f**2 = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 13. Let v = m - -2. Let b(a) = a**3 - 11*a**2 + 2*a - 5. List the prime factors of b(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**3 - 6*t**3 - t**3)*(-1512*t + 145*t + 190*t) as q*t**4 + u + y*t**2 + i*t + n*t**3 and give q.\nAnswer: 7062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18730 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 2*o**2 + 2*o + 2. Give w(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 951669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -167, -316, -509, -746, -1027?\n\"Answer: -22*k**2 - 39*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -164\/171777?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 1. Let t = -63 - -569\/9. Let v(g) = -g**3 - 7*g**2 - 4*g + 11. Let z be v(-6). Which is the closest to z? (a) t (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4*n + 7 = 0, 4*n - 6 + 16 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6 + 22 - 110*c**2 + 3*c**3 - 8 - 5.\nAnswer: 3*c**3 - 110*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w - 3*i, 3 - 5 = 2*w + 3*i. Suppose -w + 2 = -m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbcbccmb. What is prob of picking 3 b and 1 m?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8964 divided by 166\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/21 and (2 - 5) + ((-327)\/(-54) - 2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -210.7 + 210.73522. Round i to 3 dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31971327 rounded to the nearest 1000?\nAnswer: 31971000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**2 + 7170 - 7170)*(2*i**2 - 6*i**2 + 2*i**2) as u*i**2 + t*i + g*i**3 + v + x*i**4 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 107, 0.1, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54053869, 108107739, 162161609, 216215479?\nAnswer: 270269349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -727*m**2*y**3 - 3*m**2*y + 2*m**2 + 1744*m*y**3 + 2*m*y + 4*m + 3*y - 915 wrt y.\nAnswer: -4362*m**2*y + 10464*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 264?\nAnswer: 105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/8 + 5816931*v\/8 + 727116.\nAnswer: 3*(v + 1)*(v + 1938976)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2542048, -2542040, -2542032, -2542024, -2542016?\nAnswer: -2542008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1860 - 1033 = -11*f. Solve -f + 278 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1294*h**3 - 28*h**2. Let n(w) = 259*w**3 - 6*w**2. Give 28*n(q) - 6*r(q).\nAnswer: -512*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (-8190)\/(-175)) + (-24)\/(-30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -6*b + 29. Let p(a) = -b - 5 + 10 - a**2 + 14. Determine p(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2110342354 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1983 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2827325 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. Suppose 4*z = 4*l + 44, 22 = x*z - l - 4. Calculate the greatest common factor of z and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 33 = o, -4*v - 5*o + 3*o = -30. Suppose -v*q + 4*q = -25. Solve 5*r - 3*c - 3 = 0, -c = -q + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 32*o - 2 - 30*o + (2 + 3 - 3)*(4*o - 5*o + 3*o).\nAnswer: 6*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/((-5*sqrt(588) - sqrt(588)) + sqrt(588)) + (sqrt(204) - sqrt(204)*-4*-5)\/sqrt(12))**2.\nAnswer: 7540452\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237811.\nAnswer: 7, 53, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 2*f**2 + 7. Calculate b(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -288 + 46. Let o = z - -320. What is the remainder when o is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/72)\/((-74)\/(-148))*12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -338, 64993, -1 in decreasing order.\nAnswer: 64993, 5, -1, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1196*t**3 + 296476*t**2 + 18356960*t - 2029632.\nAnswer: 4*(t + 124)**2*(299*t - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -20*o + 1\/6*o**3 - 11 - o**2. Let v(z) be the first derivative of i(z). Calculate v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 5.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**3\/6 + 3*a**2 - a. Suppose -5*c = 3*h - 33 + 7, -4*c = h - 18. Let k be (-7 + (6 - 3))*3\/h. Calculate d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 2, -11, 5, 2\/5, 39412?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-4848)\/18)\/4)\/((-4)\/6). Suppose z - 37 = 4*d. Let p = -14 + 30. What is the least common multiple of d and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + x + 21, 4*x + 32 - 8 = 5*z. Suppose 0 = a + 1, z*y - 17 = y + 5*a. Suppose 2*c + y = 3*c. Solve -v + c = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1112304 by -278076.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 3*r + r. Let o(w) = -6*w. Let c(x) = -31*x. Let h(f) = -f**2 + 5*f + 8. Let i be h(7). Let g(a) = i*c(a) + 30*o(a). What is g(y(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((((v\/(v*v**(9\/2)))\/v)\/v)\/v)*v**9)\/(v\/v**(-2\/7)*v*v**(2\/9)) assuming v is positive.\nAnswer: v**(1889\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 38. Let j be n(-22). Let f(l) = -l**3 + 7*l**2 - 7*l + 8. Let u be f(j). Find the first derivative of -u + 7 + 1 - 19*m + 1 wrt m.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24064872 divided by 5\nAnswer: 24064872\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9617 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/(-6) + 4\/12 and 24\/15 + 4\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1592.548344 and -75?\nAnswer: 1667.548344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -33, -34, -33, -30, -25?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406.19 plus -0.013836?\nAnswer: -3406.203836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, 45, -42, 6 in descending order.\nAnswer: 45, 6, 1, -3, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396375 to the power of 1\/2, to the nearest integer?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143758.\nAnswer: 2, 71879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/188 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -10.01.\nAnswer: -8.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*p - 7*z + 15, -4*p = -4*z + 20. Let c be p*8750*240*1. What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5*j + 6*j + 2*j - j + 0*j + (-2 + 0 + 0)*(-2*j + 1 - 1) + 2 + j - 2 - 5*j + 2*j + 2*j)*(-j**2 + 2*j - 2*j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2 = -2*i, 5*w - 1 = 5*i - 11. Let p = 6810 - 27231\/4. Is i less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14250 (base 10) to base 12\nAnswer: -82b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2421384 and 2272.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:36 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.3. Let v = p - -4.3. Let m = v - 4.00011. Round m to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1495 and 1725?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42704314, 42704302, 42704290, 42704278, 42704266?\nAnswer: 42704254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17036447 (base 8) in base 12?\nAnswer: 13a4747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/25*20\/(-3). Let a = v - 54. Let z be ((-65)\/26)\/(1\/a). What is the greatest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 6:39 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-4) - (-2)\/(-8). Let z = 7 - 4. Find the third derivative of 121*g**a - 8*g**5 - 6*g**2 - 121*g**z wrt g.\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 22. What is the highest common factor of 57 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (289\/(-1156))\/((30\/(-456))\/(-5))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.0342 and 24.\nAnswer: 22.9658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 - 3*g**2 + 2*g**2)*(-22 - 30 + 20) in the form w*g**2 + c*g + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4 - 3*a**3 + 15*a**2 - 17*a + 6 = 0. What is a?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7 = 5. Sort w, 1, -2 in descending order.\nAnswer: 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 29. Let g be (-1)\/(-5) + 402\/a. Let j = g + -1. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290448000 to the nearest one million.\nAnswer: 290000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 43 = 5*z + 8, -5*z + 17 = -4*o. Let b be 2*(-1)\/o*-2. Suppose b*y - 26 - 40 = 0. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757?\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 21. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031 = 229*h - 343 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 21 + 20*b + 5*b + b.\nAnswer: 26*b - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.299 times -9209?\nAnswer: -2753.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11824609 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4321 - 8353 + 4191)*(3*o + 4*o - o + (2*o - o - 3*o)*(-4 - 4 + 6) + (1 - 1 + 2)*(0*o - o + 3*o)) as r*o + f and give r.\nAnswer: 2226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2\/8 + 24249*a\/8 + 24243\/4 = 0.\nAnswer: -8081, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -10. Suppose -3*x + s*x = 0. Let d be ((-6)\/9)\/(76\/(-6)). Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 2*c. Let j be q(2). Let m(p) = p**2 - 4*p - 3. Let r be m(6). Let l = j + r. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 952 + -610. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 20*l - 10. Give a(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 - 43 + t + 69 + 97*t**2)*(-1 + 1 - 7*t**2) to y*t**2 + i*t + v*t**4 + x + z*t**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0 + 0)*(2 - z**3 - 2) + 2*z**3 - 2*z**3 + 3*z**4 + (z**4 - 8*z**4 - 23*z**4)*(3 + 0 - 5).\nAnswer: 62*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alr when three letters picked without replacement from mmmmmmmmamrlrarayr.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-1)\/2). Suppose -i - 6 = 2*i. Sort -5, v, i.\nAnswer: -5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*v - 2*v. Suppose -j - 2*g = -42, j - 2*g + 170 = v*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1122\/55 + -20)*(-4)\/(-28*1).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6076661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -9. Let h = w - 8.99. Let o = h - 0.04. What is o rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g. Let w(h) = h + 3. Let r(x) = 6*x + 17. Suppose 73 = -2*k + d, -6*d - 150 = 5*k - 2*d. Let c(l) = k*w(l) + 6*r(l). Determine v(c(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*d - 27 = 0, 0 = -29*d + 26*d + 9. What is the nearest to -32 in a, -4, 3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(4 + -1)*1. Let b be 3\/(-1) + (-64)\/(-8). Suppose 10*a = 12*a + 10. Sort a, j, b in increasing order.\nAnswer: a, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 217*g**6\/30 - 754*g**3\/3 + 175*g**2. What is the first derivative of f(p) wrt p?\nAnswer: 2604*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17837*c - 17838*c = 3*x + 210, 2*c - 63 = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(sqrt(128) + 1*sqrt(128) + sqrt(128))*-3 - (0 + 3*2*sqrt(128) + 6*sqrt(128)*2))**2.\nAnswer: 288*sqrt(2) + 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 2, q: 2, v: 1, g: 1, e: 1}. Give prob of picking 1 g, 1 n, and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:24 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d**2 + d**2)*(0 + 3*d + 0)*(3*d - d + 0*d + (1 - 1 + 2)*(-d + 3*d + d)).\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -4. Let g = -0.29 + -0.01. Let m = g - -1.3. What is the closest to -1\/4 in m, 1\/7, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/7 - 129*z**3\/7 - 1224*z**2\/7 - 3348*z\/7.\nAnswer: -3*z*(z + 6)**2*(z + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.0573kg in tonnes?\nAnswer: 0.7290573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.9. Let x = 0.9 - s. Let c be (-10)\/(-4) - 2\/(-4). What is the third biggest value in -2, x, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*c + 102138 - 21138 = -850*c - 1324*c for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 101. Let l = -0.19689 - 0.00311. Which is the second biggest value? (a) r (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 + 368*h - 478. Let p be q(68). What is the greatest common divisor of p and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175494 - 107994. Let b be 1920\/((32\/l)\/4). Round b to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 3 - (-41 - (27 - 70)). Let c = -2 + 1. Let f be 2 - (-1)\/c*0. Solve 0 = -s*w - f*b, -w - 8 = -5*w - 2*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59690, -60352, -61014, -61676, -62338?\nAnswer: -63000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150935442*p**3*q + 929013501*p**3 + 2*q wrt q.\nAnswer: -150935442*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2)*(-5)\/2. Suppose -4*t + 2*t = 3*m - 21, 5*m + t - 28 = 0. Let b(y) = 3*y - 4*y + 1 + m. What is b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -89462.\nAnswer: 9\/44731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -919? (a) -0.04 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 15958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 7*u**2 + 2*u + 4. What is the units digit of k(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.580107 milliseconds to days.\nAnswer: 0.0000020553253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 200 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjddjd. Give prob of sequence ddd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 149948310?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2960*f - 13131. Is 4 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let k(v) = 0*v + 2*v**2 - v**2 - 7 + 6*v. Let f be k(-5). Let u(a) = 14*a + 2. Determine f*w(b) + u(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/47)*u**(-21)*(u**32*u)**(3\/10) assuming u is positive.\nAnswer: u**(-5207\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:29 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -393 - -847. Let p = b - 299. Let v = p + -154.99999893. What is v rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3816 divided by -72\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/10)*o)\/o)\/(o*o*o**(3\/10)) assuming o is positive.\nAnswer: o**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b - 40. Let c(k) be the third derivative of k**4\/12 + k**3\/6 - 18*k**2 - 1. Let d(r) = 4*c(r) - l(r). Differentiate d(z) with respect to z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 945 and 19971.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 (base 13) in base 9?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 9. What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 24 + 84 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a week in hours?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x + 1 + x**3 - 12*x**2 - 11 + 20*x**2. Let r be b(-9). Suppose -5*i + 45 = 5. Are i and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 88\/((-1 - -3)*(-50)\/(-110)). Let s = y + -96. What is l in -3\/5*l - 1\/5*l**3 + s*l**2 + 0 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8168 - -2.324. Round m to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:49 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {b: 2, e: 1, s: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4 - -7 - (-108)\/(-18)) + 496 + 1 is divided by 182.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {l: 2, k: 4, d: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5059 is divided by 65?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -160. What is the highest common factor of g and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210\/2047 or 1?\nAnswer: 210\/2047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgggzgzgzz. Give prob of sequence zgzg.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, j: 1, t: 6, y: 1, b: 3}. What is prob of picking 2 t?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -0*n - 0*y - 3*y + 50, 0 = -43*y + 46*y - 42 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a5230 (base 11) in base 12?\nAnswer: 1ab182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2584.1 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(55) + (sqrt(55) - sqrt(495))) + sqrt(55) + (sqrt(6655) - 3*sqrt(6655)))\/((sqrt(77) + -3*sqrt(77) + sqrt(77))\/sqrt(7) + -4*sqrt(22)\/sqrt(2)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22088590 and 35341744.\nAnswer: 176708720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -8433?\nAnswer: 8433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/f**(1\/2)*(f\/(f*f*f**1\/f))**(-1))\/((f*f\/(f\/((f**(1\/4)\/f)\/f)*f))**(-1)*(f**(1\/3))**(-1\/11)) assuming f is positive.\nAnswer: f**(499\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12069315 and 5632347.\nAnswer: 84485205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyvi when four letters picked without replacement from {y: 3, i: 1, s: 4, v: 2, q: 7}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose 3*z + 3*v = 63, 9 = z + b*v - 5*v. Let o be (z\/7)\/((-1)\/(-7)). What is the highest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -5) + (-1)\/((-16)\/10144) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 + 87 = 5*l. Let s = -52 - l. Calculate the remainder when 49 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/14 and ((-6)\/(-44))\/(54\/(-558)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138760 (base 9) to base 5\nAnswer: 10211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*q - q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q. Let l be -3 + 3 + q\/(-1). Let a(n) = n + n - n + l. Let z(g) = -g**2. Determine z(a(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 595869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3309857 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.723 - 0.277. What is the third smallest value in 0.5, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*-3)\/(24\/32). Let d = 6 - 2. Put c, d, 3 in decreasing order.\nAnswer: d, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + (-4 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let v(x) = -x**3 + x + 5. Let h be v(q). Suppose 0 = -h*n + 198 + 187. Calculate the greatest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + t**2 + 0*t**2)*(-19*t + 1 + 2*t - 3*t**2 + 5*t) as o*t**3 + y + h*t + d*t**2 + k*t**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 47 + 1*4\/2. Suppose -2*v - 504 = -7*v + 3*i, -2*v = 5*i - 214. Let s = v - g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647 - 3189 + 1917 = -139*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 942, 2135, 3826, 6027?\nAnswer: 8750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -55210824.\nAnswer: 386475768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.46 * -0.301.\nAnswer: 0.43946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*l - 51*l + 94*l - 5*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/273?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 5 = -50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(242) + -3))**2 + ((6*2*sqrt(242) - sqrt(242)) + sqrt(242))**2)*6.\nAnswer: -9900*sqrt(2) + 246738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010100011101111001000 (base 2) in base 4?\nAnswer: 122203233020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2645 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 3263081?\nAnswer: -15\/3263081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 704, 4, -1 in decreasing order.\nAnswer: 704, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12388539, -49554139, -111496807, -198216543?\n\"Answer: -12388534*a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-3)**2*-6 + 1*(sqrt(704) + -1))*1.\nAnswer: -38017 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5696077 or -5696074?\nAnswer: -5696077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Calculate the least common multiple of (n\/2 - 2) + 5 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c**2 - 14*c + 56. Let d be z(-14). Suppose -t = -5*t + q + d, q - 4 = 0. List the prime factors of t.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2\/6)\/1)\/(53\/318). Let d(s) = 12132*s - 25. Is d(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 84172 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -88372, -88346, -88278, -88150, -87944, -87642?\n\"Answer: 3*l**3 + 3*l**2 - 4*l - 88374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o**1)**(-48)\/((((((o*o*o**0\/o*o)\/o)\/o)\/o)\/o*o)**(-8\/7))**0 assuming o is positive.\nAnswer: o**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 2, t: 1, d: 4, x: 5}. Give prob of picking 2 b and 1 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9 and 11.\nAnswer: 10.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -1 + 4. Let x = 44 - 30. Calculate the remainder when x is divided by k\/(2*((-188)\/64 - -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36921 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 14*l**2 - 6*l - 36. Determine z(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - 13*r**3 + 3*r**2 + 18*r**3 + (1 - 2 + 3)*(82*r**3 - 82*r**3 + 102*r**3).\nAnswer: 209*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 1872 and 0.2.\nAnswer: 1872.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 1 - 8*x - 27\/5*x**2 - 1\/30*x**4 - 28\/15*x**3. Solve b(u) = 0 for u.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (((sqrt(110) + sqrt(110)*-1 + sqrt(110) - sqrt(110))*-6)\/((sqrt(40) + sqrt(10))*3) - sqrt(44)\/(2*sqrt(400) + sqrt(400))*6).\nAnswer: -sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -113, 355, 1203, 2437, 4063, 6087?\nAnswer: 8515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132110474?\nAnswer: 2, 457, 144541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s - 2*s)*(-2 + 5 + 5).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108 + 380 + 320 - 248)*(5*d + 5*d - 6*d)*(-4*d**3 + 3*d**3 - d**3).\nAnswer: -4480*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 31*z**2 - 3*z + 48. Give f(31).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c + -1c99b?\nAnswer: -1c96e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15554729 * -2.\nAnswer: 31109458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 562523439*b**5 + 4*b + 40306104?\nAnswer: 11250468780*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 s when four letters picked without replacement from ssisssssssssssssss?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1568.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 10, k: 6}. What is prob of sequence dcc?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 26 + 42 = 0. Let d = i - -65. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) + 2945\/(-10430). Let s = -2008\/1043 - g. Find the common denominator of s and 25\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1*b\/b**(-3)*((b\/b**(-7)*b)\/b)\/((b*b**7)\/b) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7801.77 millennia in months?\nAnswer: 93621240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 27654.9228 to the nearest 10.\nAnswer: 27650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 smaller than -155\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:18 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268.89 - 274. Let i = -1.63 - f. Let m = i - 0.48. Which is smaller: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-55) - 621\/(-33). Suppose -5*p - 2*t + i = 0, -p = 2*p + 4*t - 17. Suppose p*f + 3*f = 12. Solve 0*z = f*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 297575 or 297567?\nAnswer: 297567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 6494908.\nAnswer: -1\/3247454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7629882 kilograms to tonnes.\nAnswer: 0.0007629882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76234778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67617946*y**2 + 1 - 237*y**3 - 67617946*y**2 + 2*y to the form v*y + d*y**3 + u*y**2 + s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4514*d**2 - 629. Let b(l) = 43*l**2 + 6. Give -629*b(g) - 6*n(g).\nAnswer: 37*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41047, 164220, 369509, 656914, 1026435, 1478072?\n\"Answer: 41058*z**2 - z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g**2 + g - 10. Suppose 0 = -3*r + 2*a, 9*r - 3*a = 4*r. Let d = r - 0. Give w(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/44393 or -1?\nAnswer: -34\/44393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - g + 67*g)*(2 - 2 - 7*g) in the form z*g + m + o*g**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/13, 0.1, -83, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6 (base 11) to base 9.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + 42585\/(-595) + (-4)\/(-7) + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h + 1, -5*b - 5*h + 35 = 0. What is the lowest common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4970 * -0.01.\nAnswer: 49.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11966164.\nAnswer: 2, 7, 17, 23, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397120 divided by -16.\nAnswer: -24820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) 2 (c) 1 (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1199*p**3 - 2308*p**3 + 1142*p**3.\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*13\/((-13)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54860 by -844.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2119 - 1831. Let b(x) = x**2 - 2*x + 8. Let l be b(6). What is the highest common factor of k and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -935, 4, 3 in descending order.\nAnswer: 4, 3, -1, -3, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3)*(v*v*v\/v**(2\/7))\/v*(v\/v**(-1\/4))**(-15))\/((v**1)**(-3\/13)*(v*(v\/v**1)\/v*v*v*v)\/(v*v\/v**(-3\/7))) assuming v is positive.\nAnswer: v**(-4869\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(308) - -5*(sqrt(308) - sqrt(308)*-6))\/((sqrt(165)\/sqrt(3))\/sqrt(5)))**2 + 3 + -5.\nAnswer: 580606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38570 and 30409690.\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 973\/45 + -107\/5. Let t = 2 - 5. What is the nearest to 1\/3 in t, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 645 = 24*w - 19*w, -2*p + 321 = -w. Suppose 0 = -4*a + 3*d + 708, -p = -a - 80*d + 85*d. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**3\/g))\/(g\/g**1)*(g**5\/g)\/g*g**(-2\/9)*(g\/(g*g**(2\/5))*g\/(g*g\/(g\/((g*g**(-4))\/g))))**(-18\/5) assuming g is positive.\nAnswer: g**(-2516\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 4:31 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 15 - 47*n - 430*n + 2 + 54*n.\nAnswer: -423*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2240, 8960, 20164, 35852, 56024, 80680?\n\"Answer: 2242*u**2 - 6*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(2*o - 4*o + 0*o) - 112*o - 537*o - 133*o + (2*o - o - 3*o)*(-2 + 3 - 2).\nAnswer: -776*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -0.2, -150, -4 in increasing order.\nAnswer: -150, -33, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10620, 42393, 95348, 169485, 264804?\nAnswer: 381305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*y = -893*y + 12586 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220.11 - 33.41. What is r rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335500 is divided by 167528.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 13601?\nAnswer: -135ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*m**3*n**4 + 15*m**3*n**2 - m**3 - m*n**4 - 10*n**3 - n**2 wrt n?\nAnswer: -384*m**3*n - 24*m*n - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41063 + 41029. Put 2\/159, j, 2\/9 in descending order.\nAnswer: 2\/9, 2\/159, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(1584) + sqrt(1584) + -3 + 2 + sqrt(1584)*1)**2 + -5.\nAnswer: -720*sqrt(11) + 237601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 1.7\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 6*b = 576. Suppose o + 5*c - c + 23 = 0, 5*c + b = -4*o. Suppose -2*z = 5*v - 7*z - 25, 0 = 3*v + z - 7. Put o, v, -1 in increasing order.\nAnswer: o, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k = 5*d - 655, -3*k = d - 127. Let i = -19 + d. What is the remainder when i is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -908 divided by -4?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33756685899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmz when three letters picked without replacement from {v: 2, m: 1, z: 2, b: 4, u: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 21*p + 3120. Is (-3398)\/(-5) - 72\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*v**3 + 0*v - 8\/3*v**2 + 2\/3*v**4.\nAnswer: 2*v**2*(v - 4)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose -5*l + 107 = n*u + 3, 5*u - 298 = -3*l. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 901600 divided by -20\nAnswer: -45080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1817\/11 - -165. Let w(z) = -z**2 + 3*z + 4. Let d be w(-3). Let l = 14 + d. Do l and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31293\/(-152))\/9 + 30\/(-240).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 6*s + 7. What is t(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 + h - 1. Suppose 8 = 2*q, -5*o - 1 = -0*o + q. Let f be (4 + o)*2\/(-3). Is 8 a factor of l(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-16))\/((-675)\/(-1440))*12\/(-112)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = -45*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 + 124 = -18*l. What is the units digit of -2 + 400\/3 + l\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:34 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 8*v - 14. Let a be (-6)\/2 - (-11 + 8) - -10. Calculate y(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3622 = -3621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17700 - -115227462?\nAnswer: 115209762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 542005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-11)\/50) - (-2130)\/(-3905).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 5:33 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 754 and 87.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3723642747?\nAnswer: 3, 11, 521, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3827217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/(522\/(-783))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.768 + 0.767992353. Round g to seven dps.\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.707, 1, -0.05?\nAnswer: -0.707","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, y: 2}. What is prob of picking 2 z?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 159 - 9. What is the remainder when k is divided by (6 - 3)\/3 + 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (1 + -2)*2. Let i = x - -4. Suppose 0 = 2*j - f - 7, -5*f + i*f - 17 = -4*j. Solve 0 = -j*z - 0 + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/80? (a) 0.5 (b) -1\/4 (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)\/(2\/(-8)). Let b be 50\/(-75)*4\/((-8)\/(-3)). Let k = a + b. Solve -15 = 2*o + k*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 7*a**2 + 7*a + 9. Let c be b(-6). Suppose -335 - 718 = -c*k. Let o = k - 250. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1493, -5468, -12085, -21344, -33245, -47788, -64973?\n\"Answer: -1321*u**2 - 12*u - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -1. Suppose -5*k - f = r + 10, -4*r - 3 = 3*k. Solve -5*a + 3*g + 6 = -6, 2*g + 7 = r*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = -j - 365, -o + 80 = 2*j. Let v(h) = -5*h + 23. What is the remainder when o is divided by v(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 2*p)*(3*p + 2*p - 3*p)*(2 - 2 + 3)*(0*p - 3*p - 4*p).\nAnswer: 84*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1887*r + 47329. What is a(25)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12537.\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2601, -10390, -23359, -41496, -64789, -93226, -126795, -165484?\n\"Answer: 2*d**3 - 2602*d**2 + 3*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*l - 2*l - l + l as v + y*l and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*z**2 - 433*z**2 - 249*z**2 - 24*z**3 - 480*z**2 - 2.\nAnswer: -24*z**3 - 784*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-14)\/4)*2. Let b = -4 - -6. Let g = m - b. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 20, i = 34*z - 29*z - 201. Calculate the remainder when z is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = -8221 + 8131 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122121 (base 3) in base 15?\nAnswer: 88d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1471843360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -327, -2, -1\/8, -2\/11.\nAnswer: -327, -2, -2\/11, -1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40886147779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-56)\/(-21))\/(2\/(-426)). Let r be (-2)\/(-5) + k\/(-230) + -3. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2423 - -66?\nAnswer: -238a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42908, 42883, 42858, 42833?\n\"Answer: -25*z + 42933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44381690107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 224 = 2*q, -5*s - 4*q - 83 = 261. Let x = s - -112. Suppose j - 53 = x. Is 31 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5094465 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 806795*g + 5 + 806795*g.\nAnswer: 6*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 4*l - l)*(3 - 3 - 3)*(6*l + 4*l - 8*l) to the form t*l + z*l**2 + x and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/8)\/((-4)\/((-240)\/27))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*s**2 - 5*s**2 + 288*s**2)*(-3*s**2 - 12*s**2 - 13*s**2).\nAnswer: -7476*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 4. Let n(i) = 6*i**2 - i + 1. Let t(c) = c**2. Let p(b) = n(b) - 5*t(b). What is d(s) + 2*p(s)?\nAnswer: s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*m + 8 = 0, -r - 32266*m = -32263*m + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -584818.048 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11784137?\nAnswer: 313, 37649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.07*2.\nAnswer: -2.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1143 or 1047?\nAnswer: 1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50526577 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/4)\/(-3)*(-15)\/200*-8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7273272m to nanometers.\nAnswer: 727327200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 274887?\nAnswer: -274888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1866 and 105102450?\nAnswer: 105102450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1758 greater than -1751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 6*m + 0*m)*(1 - 4 + 2) + 2*m + 2*m - 6*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/567?\nAnswer: 2\/567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -250.113 - -250. Let u = -25.913 - s. Round u to zero dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 7) to base 4\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-35)\/(-5) - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*3916551\nAnswer: 1174965.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 317 - 324. Let r(u) = -1. Let g(t) = 207145*t + 17. Let s(y) = -g(y) - 2*r(y). Let f be s(w). What is f rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 3)*(-54 - z - 16 - 72) as a + y*z and give a.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240 - -272. Suppose 0 = 6*z + 2*z - d. Solve 5*g - 3*i = 0, z*g - 27 = -4*i + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-14)*3290\/282\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 8 - -4 - -16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + 18. Calculate the remainder when d is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*v = 710 + 402 + 1198 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*c - c + 24, -2*d + 5*c + 12 = 0. Let b = d - -13. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0 + 0 - 79*h**3 + 160*h**3 + 8*h**2 - 75*h**3. Let c(b) = 4*b**3 + 5*b**2. Determine -8*c(a) + 5*m(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/1)\/(12\/(-16)). Which is the second biggest value? (a) -7 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 + -63. Let f = -101 + l. What is the closest to f in -4, -2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(14*i + 44*i - 2*i)*(2*i - 2*i - 2*i)*(6*i - 2*i - 2*i) in the form u*i**3 + f + y*i**2 + l*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -279*b**6\/2 - 1384*b**2 + 84*b. Differentiate v(y) wrt y.\nAnswer: -16740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 30. Let s = w - -21. Let j = 26 + s. Which is the second biggest value? (a) -1\/7 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*j - 11, -4*p - 4 - 26 = 5*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:39 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:50 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4*z**3 - 7 + 0*z**3)*(z + z - z)*(7*z + 17*z + 7*z).\nAnswer: -124*z**5 + 62*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/3, -2, 2\/9, -23\/2355, 1, 0.4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 887319634 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29784 and 1049733.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 10. Let g = 17 - 7. Solve -5*j + i = 4*x - g, 5 = x - j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6849742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c**0)\/c)))**(1\/19)\/(c\/c**(1\/4)*c**1\/c) assuming c is positive.\nAnswer: c**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 3*t**3 + 4*t**2 + 2*t**3 + t**3 - t. Let i be n(-4). Solve -15 = m + i*p, 0 = -m + 3*m - 2*p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*d)**5*(d\/(d*(d*d\/d**(-1\/4))\/d))**(-18) assuming d is positive.\nAnswer: d**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 2*k**2 + 7*k - 2. Give g(6).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, s: 2}. What is prob of sequence qqss?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 4 = 44. Let f = 26\/35 - 8\/7. Sort f, c, 8, -3.\nAnswer: -3, f, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181\/(-10)*2*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175 - 174.03. Let a = d - -83.23. What is a rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-14)*(-1)\/(-2). Let c be 6*(-6)\/(-9) + 266\/(-63). Put a, c, 0.3 in descending order.\nAnswer: a, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*v + 85*v = 40. Suppose -1200 - 136 = -x + n, -v*n - 2678 = -2*x. What are the prime factors of x?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/137, -2\/9, 3\/7 in increasing order.\nAnswer: -2\/9, -5\/137, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.142258 rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -46162 divided by -1\nAnswer: 46162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138550.\nAnswer: 2, 5, 7, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 7, d: 2, v: 1, z: 6}. Give prob of sequence dv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 10, 0.09, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -34 - 6. Let r(d) = -d**3 - 9*d**2 - 2*d - 12. Let i be r(-9). Let f be (u\/i)\/(8\/(-12)). Solve -k = f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 1. Let a(j) = j**2 + 2*j - 2. Let w(l) = -a(l) - 2*d(l). Let i(x) = 2*x**2 + 3. What is i(w(b))?\nAnswer: 2*b**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2598 + 11989?\nAnswer: c3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 + 4 = 0. Suppose -m*v = 2*y + 41, 0 = v + 2*v + 3*y + 30. Let z = v + 25. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193 + -193. Suppose 4*y = 2*g + 520, -3*y - 5*g + 79 = -324. Suppose m = x + 4*i - 18, -3*i - 24 = 5*x - y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022000122 (base 3) to base 2.\nAnswer: -110001110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrvrrrrrvrrrrrrrr. Give prob of picking 2 r and 2 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 125, 167, 209, 251, 293?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15295473*j**2*n**3 + 5*j**2*n**2 + 399998*j**2 + j*n + n**3 - 3*n**2 wrt n?\nAnswer: 91772838*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12915 + -12895. Solve 0 = 5*a - 2*m + 3*m - z, 2*a - 3*m = 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 5*b + 2*b)*(-b**3 + b**2 - b**2) + (-b**2 - 3*b**2 + b**2)*(-b**2 + 0 + 0).\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18753.\nAnswer: 3, 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-8 - (-2 - -8 - 5))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3438 + 146a2?\nAnswer: 17b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 152*r**2 + 753*r + 1. Calculate the smallest common multiple of o(-5) and 222.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((225*h - 8485 + 8485)*(1 + h - 1) + 3*h**2 + 2*h**2 - 3*h**2 - 2*h**2 - 3*h + 3*h)*(-1 + 1 + 2*h**3).\nAnswer: 450*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -10. Suppose c*w = w - 10. Let i be (-5 - 0)*(-248)\/w. What is i rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6439 + -5580. What is the remainder when l is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 7*x**2 + 8*x - 6. Calculate t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3898863*n**2 - 51*n - 47. Is y(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 - 197. Solve 3*h - 4*r - 16 = -4, 2*h - a = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*t - 3*t**3 + 32*t + 2*t**3 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 + (-246)\/8. Suppose -2*q = -14 - 114. Let m = x + q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 7)*(-3 + 3 + 3*a) + 3*a + 0*a - 5*a to k + o*a and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1788.\nAnswer: -1\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/6, -11.4, -3, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -519, -1040, -1561, -2082, -2603?\n\"Answer: -521*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 11:46 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 114 = 3*p, -4*k + 3*p = -3*k - 33. Let q = k - 17. What is the remainder when 19 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -122. Which is the third smallest value? (a) s (b) -4 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 480, 464, 456, 462, 488, 540, 624, 746?\n\"Answer: l**3 - 2*l**2 - 17*l + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -5. Let m = 3 + r. Which is the third smallest value? (a) -2\/11 (b) m (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42742 and 0.5216702.\nAnswer: 42742.5216702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/15 and -7*75\/(-10) - (2 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3451230812 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 1216.\nAnswer: 20672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 13*a + 1. Let i(d) = -d**2 - 3*d. Let t(s) = -2*g(s) - 9*i(s). What are the prime factors of t(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 5, j: 3, z: 2}. What is prob of picking 1 j and 1 t?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18692101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 101 - 96 = -54, 31 = 2*v + 3*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**3\/3 - m + 44. Let z(d) be the second derivative of 11*d**4\/12 + d**2\/2 - 65*d. Give w(z(o)).\nAnswer: 22*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 96\/5, 0, 0.8, -11\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/30*-6*5. Let y = -2 - -140. Let u be 10\/(-6)*y\/(-115). Solve -5*r = 4*z - j, -z + 2*r + 1 = -u*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43173 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.0131421 rounded to one decimal place?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*x + 183*x + 691*x - 51*x to w + b*x and give b.\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*s - 22. Solve 0*k + s = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -123, -219, -329, -447, -567, -683, -789?\n\"Answer: l**3 - 16*l**2 - 35*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6 and 17\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 2, j: 1, o: 4}. What is prob of sequence rje?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 296.84789 + 0.04.\nAnswer: 296.88789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 976, 1876, 2776, 3676?\n\"Answer: 900*m + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -41. Solve 6*l = w*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2558\/2279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5643.9 - -5644. What is the fourth biggest value in 4, 5\/17, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3682737918 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14264255 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.915 to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 7*r + 3. Let o be (12\/(-10))\/((-18)\/(-45)). Let s be j(o). Solve 5 = -s*y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1315027?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjn when three letters picked without replacement from jroppnjjpjoopjnjo?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*n = 54, -3*s = -19*n - 1228751 + 1228536 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6525863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -329 - -334. Which is the second smallest value? (a) n (b) 2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3) + 4 - 4. Suppose -s - d + 73 = o, s - 85 + 16 = d. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 1 - (9 - (-24)\/(-6)). Solve -4*d + o + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002663782855 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 13*c - 40. Let y be g(-7). Suppose -5*h - 3 = 5*d + 12, -5*h = -y*d + 29. Let -x**d + x**2 + x**2 + 2*x**2 - 18 - 3*x = 0. What is x?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 2, r: 2, c: 4}. Give prob of sequence ccrr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57.999936 - -58. Round b to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 197627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16318.9 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0*k + 2*k**2 - 1\/2*k**3 + 0 + 0*k**4 - 1\/60*k**5. Find the first derivative of l(o) wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-4))\/(3\/1)*(-436)\/1308?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {q: 4, y: 1, e: 5}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*w, -6*w + 2*w - 23 = -5*m. Let n be (-3)\/(-6)*w - -4. Let h be n + -1 + 6 + -6. Solve -h*q + 2 = -d - 7, -d = 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:11 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p + 464 = -165*p + 50*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 19 = 3*a + 167, -4*a = -t + 209. Let b = -43 - a. Find the second derivative of g**4 + 13*g - g**4 - 11*g**4 - b*g**4 wrt g.\nAnswer: -228*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + b - 799 = 0, -4*x = -x + 4*b - 784. Let o(v) = v + 22. Let y be o(62). Let p = y - x. Round p to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 33*v + 13. Calculate o(-11).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051457 is divided by 227934?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(19) + 2) - ((1 + sqrt(19) + 0)**2 + 5*(sqrt(19) + -2)).\nAnswer: -15*sqrt(19) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1163*h + 4643 = -1411 + 239 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 392673814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = -2*s - 510. Suppose 11*t = 25 + s. Solve -25 = t*j - z, 3*j + 2*z = -2 - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 42 = -7*l - 7*d, 0 = -5*l - 4*d - 43 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3156 divided by -4\nAnswer: -789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -10*k**3\/3 + 3*k**2\/2 - 5. Find the second derivative of j(z) wrt z.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**5 + 18444158*w**2 - 612693405*w.\nAnswer: 60*w**3 + 36888316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103\/3 + 33. Let p = 4.92 - -1.68. Let g = 6.27 - p. Sort g, t, 0.5 in ascending order.\nAnswer: t, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let q(p) = 4*p + 4. Let d(f) = 5*f + 5. Let m(j) = -2*d(j) + 3*q(j). Let n(u) = 1. Let s(b) = m(b) + 2*n(b). What is s(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655903.\nAnswer: 59, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 9 - 2*f**2 + 3 as h + z*f + x*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 h when four letters picked without replacement from hnhhnnhhhnnhh?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + 13 + -5 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48369.23 years in millennia?\nAnswer: 48.36923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l. Let k(n) be the second derivative of -n**3\/2 + n**2 + 363*n. Determine k(b(j)).\nAnswer: -21*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341aa (base 15) to base 11.\nAnswer: 1035a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42293279 is divided by 710?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 8)\/(5\/2). Suppose 3*b - k - 732 = b, -j*k = 3*b - 1084. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -48*j + 16. Let d be v(-4). What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 5:08 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9702 and 36?\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - x = 2, -2*m = -11*x + 8*x + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -5) + (-2 - (-30)\/(-24)). Let z = 1604861\/330 + -24291\/5. Let h = z - 29\/6. Which is the second biggest value? (a) s (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148117 is divided by 3719.\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 939087 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 24*f**2 - 3096*f + 3071. Determine d(128).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16629*p**4 - 16949*p.\nAnswer: 199548*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 14*z - 72. Let k(n) = n**3 + 22*n**2 - 49*n - 25. Let x be k(z). Let i be -1 - (-1)\/(1\/(-2)). Sort x, i, -2 in decreasing order.\nAnswer: x, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -111. Suppose -3*c + 2 = 4*p + 3, f*c + 8 = p. Suppose -p*a = 4*a. Solve a = -4*w + 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from alaalaallllaalalala?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171291 or -171284?\nAnswer: -171291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 2*n - 3. Let f be m(2). Let i be 0 + 2 + 9\/f. Let q = -37\/66 + 5\/6. Which is bigger: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q + 2. Let w(k) = 144*k + 27. Let c(s) = -27*h(s) + 2*w(s). Let f(x) = -2*x**2 + 3*x**2 - 3*x**2. Give f(c(n)).\nAnswer: -162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 66*v - 1048. Let b be z(16). Let j(y) = -y**2 - 7*y. Let x be j(-6). Solve x*p - 10 - b = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/2, 1090\/11, 18, -4, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyyoyyoyyooyy. Give prob of sequence yoy.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38990 and 1637580?\nAnswer: 1637580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(5\/2)*h))\/(h*h\/(h**6\/h)))\/(h**(-1\/7)*h**(-2)))**47 assuming h is positive.\nAnswer: h**(4371\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x**3 + 2*x**2 + 2*x + 1. Let b be d(-1). Let j be (-2)\/4 - (-55)\/b. Suppose j = -5*o + 65. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 410. Suppose -2*u - w = -s, w - 5 = -0. What is the remainder when u is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + p**2 + 16*p**2.\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 22*m - 38. Let a be p(20). What are the prime factors of (466\/4 + -2)*(a + 0)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -33. What is the lowest common multiple of 34 and y\/((-44)\/(-18))*1*-2?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 590473, 590467, 590461?\nAnswer: 590455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004971132 rounded to six decimal places?\nAnswer: -0.004971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 4*x + 1. Let r(p) be the third derivative of -7*p**5\/60 - 3*p**4\/8 + p**3\/3 + p**2 - 404. What is -2*r(y) + 5*s(y)?\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*m - 15*m + 100*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -211, -304, -381, -436, -463, -456?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -29*1\/(2\/(-2)). Suppose -55 - d = -x. Let f = 377 + -363. Calculate the highest common divisor of f and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 223 = 4*v, 0 = -5*v + 4*j - 12 + 342. Suppose -3*p - w = -0*p - v, 5*w = -p + 30. Calculate the remainder when 59 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -8*f + 26, -53950*f = -4*v - 53945*f + 3 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is 0.9953328cm in kilometers?\nAnswer: 0.000009953328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3 + 5660259*h**2 + 2670021993009*h + 136156399707753 = 0.\nAnswer: -943351, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 + 1766*j\/3 - 1760.\nAnswer: -2*(j - 880)*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0261 plus 1324?\nAnswer: 1324.0261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 127 - 22 = 0. Let g = -12 + v. What is the remainder when g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000332473 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 - 83*u**2 - 146*u**2.\nAnswer: -216*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cad2 - -1?\nAnswer: 1cad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*32\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 470532401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 2\/11 (c) -1\/2 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3461 + -3459. Let j be ((-8)\/(-4) - 3) + 13. What is the highest common factor of p and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 14\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5966549408 to the nearest one hundred thousand.\nAnswer: -5966500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 67*q - 9. Let k(f) = 2*f**2. Give c(k(i)).\nAnswer: 134*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 153476059 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k. Let t be (-1 + 3)\/(-3 - -1). Let v(x) = -x**3 + 2*x**2 - 1. Let n be v(t). Let z(w) = 3*w**n - 4*w**2 - w**2. Give z(s(b)).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 2. Let m(y) = -y + 1. Let t(b) = -3*m(b) - 4*x(b). Let r be t(3). Solve 3*w - 5*w - r = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 8 = -14. Solve -2 = -2*s - n*u - 8, 0 = 2*s - 3*u - 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.89*-0.006\nAnswer: 0.20934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*l + 1763 + 1555. Calculate the highest common divisor of 119 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3856, 4126, 4886, 6388, 8884?\nAnswer: 12626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 - 507*z**2\/5 - 102*z.\nAnswer: 3*z*(z - 170)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let a(i) = 4*i + 12. Let f(m) = a(m) - 3*o(m). What is the units digit of f(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 0.477?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1. Let d(x) = 9*x**5 - 14*x - 2. Let n(y) = -2*a(y) + d(y). What is the second derivative of n(v) wrt v?\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 10*w**2 - 9*w + 2. Let v be b(-9). Suppose -3*d + 344 = -5*k, -v*d + 148 = -d + 5*k. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8229045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/2 + 45535*k\/2 - 22767 = 0.\nAnswer: 1, 45534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113 and 964.\nAnswer: -108932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -0.07. Let v = i - 0.48. Let l = -0.51 + 0.41. What is the closest to l in 0, -0.3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -5 (c) 2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14386*s - 373997. Determine j(26).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 435800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 193272, -219, -1 in decreasing order.\nAnswer: 193272, -1, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 10, -2*z - 47 = -2*a + 33. Let f(i) = -i**3 - 11*i**2 - 7*i + 12. Let n be f(-10). Does 10 divide (n\/4)\/(7\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*v**3 - 1014*v**3 - 1403*v**3 - 419*v**3.\nAnswer: -3208*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32428\/9 - 3600. Solve 8\/9*p**4 + 8\/3*p**2 + h*p**3 - 4\/9*p - 8\/9 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271429*j**2 - 308582*j wrt j.\nAnswer: 542858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:02 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + d + 42. Let g(t) = -2*t**2 + 27*t - 3. Let f be g(d). Calculate the greatest common factor of 220 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 26667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 3618*f - 3618*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -6, 44, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10329 and 30723?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6751755)\/(-297) - (-6)\/(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 18*h**2 - h - 18. Suppose 319 + 1840 + 1 = -120*o. What is s(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.74846632 minus 198.74?\nAnswer: -218.48846632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -13*b + 10*b - 281, -n = 2*b + 142. Let f = n + 186. Calculate the smallest common multiple of 60 and f.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.583 - 0.217. What is the third biggest value in v, -2\/9, -8\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*v + 24, 0 = c - 5*c - 3*v - 24. Let i(y) = 5*y**2 - 3*y + 3. Let h(p) = 9*p**2 - 5*p + 5. Determine c*h(w) + 10*i(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = h + d, h - 2*d - 8 = -3. Let u(o) = 2*o**3 - 43*o**2 - 23*o + 7. Let i be u(22). Let c be ((-3)\/5)\/(((-16)\/i)\/(-16)). Solve -h*v = -4*v - c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -378341*a. Let o(r) = -2*r**2. Calculate w(o(b)).\nAnswer: 756682*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 761*z + 667. Is x(5) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 + -82.59. Let r = 29.59 + b. Let f = r - 29.99908. What is f rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(136)*2*-2)\/((sqrt(8) - sqrt(40)\/((sqrt(5) - (sqrt(15)\/sqrt(3) - sqrt(5))) + sqrt(5))) + sqrt(8)) + 3 + -5 + sqrt(187)\/sqrt(176).\nAnswer: -29*sqrt(17)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 6*y**2 - 3*y - 5. Let v(i) = i**3 - 4*i**2 + 2*i + 4. Give 5*v(a) + 4*x(a).\nAnswer: a**3 + 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21766*((-495)\/(-36) + -12) + 3\/(-6) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1141311384 divided by 10567698?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/114 and -83\/72.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4 - 76512*z**3 - 765904*z**2 + 22346112*z + 47143712 = 0.\nAnswer: -22, -2, 14, 38266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5151059 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 98, 137, 196, 275, 374, 493?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {e: 3, h: 10, c: 2}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*v - 16. Let c be v\/(-3) + (-7)\/(-21). Solve -5*z = 5*o - 3 - 7, 2*o + c = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-320)\/(-32)*(-2)\/(-4)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*z + 1 + (-z + 5*z - 2*z)*(-1 + 4 + 1) - z + 5*z - 5*z)*(0*z + 0*z + 2*z**3).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4942 + 4942.4. Put -0.6, 3\/10, c in decreasing order.\nAnswer: c, 3\/10, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/2)\/((-9)\/(-6))*(-2)\/(-44)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8215 + -8214.9. Which is the nearest to g? (a) 1\/4 (b) -0.3425 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f + 3. Let x be f*4*(4 - 5). Let h(u) = 3*u + 3. Determine h(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 44 = 36. Let d = l - 4. Suppose 0 = 9*s - d*s - 129. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49140105 and 16380035?\nAnswer: 49140105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247628894, 495257789, 742886684, 990515579?\nAnswer: 1238144474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20789, -15535, -10281?\n\"Answer: 5254*d - 26043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 117*r**3 + 1 + 47*r**3 - 166*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-297975)\/(-3973))\/((30\/16)\/(6\/8*1)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4212 (base 14) to base 3\nAnswer: -120121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w. Let m be 2 + w + (-15)\/15. Let u(k) = k**3 - 2*k**2 - k. Let p(i) = -i**3 + i. Determine m*p(s) - u(s).\nAnswer: -2*s**3 + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*g + 756, 1493 + 3 = 4*s - 2*g. Let n = -4 + 34. What is the greatest common factor of n and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/9 (b) -0.5 (c) -0.15 (d) 60 (e) 0.5 (f) -19 (g) -3\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9313 - 9479. Is -166 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 5*d = -9. Suppose -d*h = -2*h - 798. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15062\/1221 - -1\/407. Calculate the common denominator of f and -107\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 229*j**4\/2 - 108*j**3 + 531. Find the third derivative of g(i) wrt i.\nAnswer: 2748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823 + 4*p**2 - 4*p**2 - 67*p**3 + 1794 - 3617.\nAnswer: -67*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 = 6, -18 = -5*c + 3*l. Suppose 2*y - 2 = -y - t, 2*t = -2*y. What is the derivative of w**c - y - 3 + 3 wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.56 - 1.06. Sort m, 5, 4, 2 in decreasing order.\nAnswer: 5, 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**2. Let w(f) = -2834*f**2 + 3*f. What is w(z(c))?\nAnswer: -181376*c**4 + 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24870283 and 635.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1188 and ((-452)\/(-52) - 9) + 1663\/2574.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/960 and 404\/(-30) - 208\/(-26).\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-seven fifths of a tonne?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1729908, 1729808, 1729642, 1729410?\nAnswer: 1729112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvsissfigsvi. What is prob of sequence is?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -k + 3*q, 1568*k - 1569*k = q + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 10*w + 5. Let i(t) = -3*t**2 + 9*t - 4. Let h(x) = -7*i(x) - 6*r(x). Let m(u) = 9*u**2 - 8*u - 5. What is -8*h(f) + 3*m(f)?\nAnswer: 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*f**3 + 3*f**3 - 5*f**3)*(f + 3*f - 3*f) + f**4 + 0*f**4 + 0*f**4 - f**4 + 6*f**4 + 0*f**4)*((-1 - 1 + 0)*(-f + 3*f - f) + 2*f - 4*f + 3*f).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 2, 8 in descending order.\nAnswer: 8, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 238974, 238977, 238982, 238989?\n\"Answer: d**2 + 238973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 0*u)*(4*u**4 - 3*u**4 - 2*u**4) + 2*u**5 - u**4 + u**4 + 8*u**5 - 7*u**5 - 22*u**5.\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10582844 + 21?\nAnswer: 10582865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q - 84. Calculate t(3).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5428 = -1447. Let n be x\/3 + 8\/(-48). Let l = n + 421. Calculate the common denominator of l and 115\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + 3) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0)*-3.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(136)\/(sqrt(96)\/sqrt(3)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3952557, 3, -4 in descending order.\nAnswer: 3952557, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, r: 2, a: 1, h: 1, e: 2, u: 6}. Give prob of sequence rtr.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mammajbaab. What is prob of sequence mmm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*w + 2. Suppose 5*p = -4*i + 282, 0*p + 3*i = 2*p - 99. Let d = p + w. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*g - 24 + 67, 0 = -3*j + 2*g - 94. Let v = j - -48. Solve -4*n + 0*n + v = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 10*k**2 - 2*k**2 - 6 - 6.\nAnswer: 8*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1468 - 1467.7. What is the nearest to 1 in -2\/5, 1\/4, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*f - 1 + (-3 + 2 - 1)*(2*f - 2 + 2) - f + 0*f - f - 2 + 2*f + 2 + f + 0 + 0 - 2*f + 0*f + f)*(-15 + 18 + 12)*(-2 + 3 + 3)*(-1 + 1 + 1).\nAnswer: -120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 858, 1712, 2566?\n\"Answer: 854*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-5\/4))\/(n\/((n**(2\/3)\/n)\/n)))**(-20) assuming n is positive.\nAnswer: n**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h. Let m be (1\/(-3))\/(5\/15). Let s be m + 0 + -1 + -2. Let q(r) = -5*r - 11. Let j(z) = 2*z + 4. Let n(k) = s*q(k) - 11*j(k). Give p(n(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*w = -2, -3*w = -15*r + 16*r + 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5093 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4165.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:00 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 5. Calculate g(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5054.983 rounded to zero decimal places?\nAnswer: -5055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (19 - 15) + -22 - -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1581? (a) -0.21 (b) -1\/10 (c) -2\/7 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3375 and 357660.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:12 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.832143 tonnes to micrograms.\nAnswer: 2832143000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12668893.\nAnswer: 17, 59, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -262, -353, -426, -475, -494, -477?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8332, 8966, 9600, 10234, 10868?\nAnswer: 11502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 136*z**2 - 1147*z - 645. Give h(144).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 634 - 164b90?\nAnswer: -164558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -234510 (base 7) in base 11?\nAnswer: -29983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 146.348+-7016543\nAnswer: -7016396.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 + 182*k - 3564. Determine j(46).\nAnswer: -1540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3787365 to 3 dps.\nAnswer: 1.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lglg when four letters picked without replacement from {x: 1, u: 3, l: 2, g: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 666855 divided by -222285\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c**4 + 0*c**3 + 0*c - 1\/4*c**5 + 0 + 20*c**2 + 0*c**6 + 0*c**7 + 1\/21*c**8. Find the third derivative of o(q) wrt q.\nAnswer: 960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -412*g**5 + 66*g**4 + 542*g**2 + 379*g.\nAnswer: -24720*g**2 + 1584*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 55446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let u(k) be the third derivative of k**7\/360 + k**5\/60 + 17*k**4\/12 + 82*k**2. Let j(x) be the third derivative of u(x). Determine q(j(r)).\nAnswer: -196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 6082. Let v(c) = 1090*c**2. Determine o(v(w)).\nAnswer: -3270*w**2 - 6082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)*d)**(2\/23)\/(d\/d**0)**(-31) assuming d is positive.\nAnswer: d**(3579\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.5035 and 0.006.\nAnswer: 0.027021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = w. Let x be 50\/w - 4\/(-12). Let j be (x\/(-8))\/(-1 - 2). Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 2*y**2 + 2*y + 2. Let w be s(-1). Let l = -8 + w. Let b be 3\/l - 24\/9. What is the nearest to 0 in 5, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 800, 801, 802, 803?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599229*o**2 - 4985137*o**2 + 1276522*o**2 - 4199257*o**2.\nAnswer: -8507101*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + o - 39 = 0, 787*o - 788*o = 2*j - 15 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75605.83 millilitres to litres.\nAnswer: 75.60583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 - -282 - (1 + 9) - 26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.646 + 3.246. Let b = -9.6 + 8. Let j = b + 0.6. Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -22*v + 3529. Let j be r(160). Solve j*g = -57 + 93 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 14 = 10. Put 3, 5, k in ascending order.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/28 (b) 0.1 (c) -313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15070*j**2*l**2 + 3*j**2*l + 127222*j**2 - 10*j*l wrt l.\nAnswer: -30140*j**2*l + 3*j**2 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017364947 rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1333174*-1\nAnswer: 0.1333174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 126585300 divided by 50\nAnswer: 2531706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a3919 - 12?\nAnswer: -a3930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 - 466*m + 100. Let t be y(93). Let x(h) = -h + 9. Let i be x(4). Suppose -4*s - 3*n + 556 = -t*n, s + i*n = 163. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1445 and 140948.571486.\nAnswer: 142393.571486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382.799 litres in millilitres?\nAnswer: 5382799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2580 is divided by 858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from -47.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2 - 41781*h + 41782 = 0.\nAnswer: -41782, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohoooho. What is prob of sequence ohho?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8154.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -598881*d**2 - 509461.\nAnswer: -1197762*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 + -96. Let m be (3 + (-786)\/z)\/2. Which is smaller: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x*x**31*x)\/x)*x**(-4\/29)*x**25\/(x*x**(-18\/11)))**(-23) assuming x is positive.\nAnswer: x**(33028\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 5\/1106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9525.8 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Find w such that w**5 - 3*w - 2*w**3 + 2*w**4 - 2*w**4 + q*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 11. What is z(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228525981253 - 0.4.\nAnswer: 228525981252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 427\/11 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 2. Let z be t(9). Suppose -7*x = -2*x - z. Factor 0*p + 0*p**3 - 1\/3*p**2 + 1\/3*p**x + 0.\nAnswer: p**2*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.31257 millilitres in litres?\nAnswer: 0.00331257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -0.8. Let o = 0.8 + z. Which is the nearest to o? (a) -1\/6 (b) -2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65845675 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21726976 divided by -128\nAnswer: 169742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-70)*5 - (-27)\/7. Solve -2*l = -3*o - 2*o, -2*o = c*l - 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 31 = -19. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**7\/2 - g**6\/15 + 295*g**4\/12 + 2*g + 30. Find the third derivative of k(a) wrt a.\nAnswer: 1260*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.63236 to one decimal place.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 12053?\nAnswer: 60265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-1 - 10*l + 1)*(2*l**3 + 0*l**2 + 0*l**2).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10975 - -10591. Which is bigger: -382 or r?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31970588 to the nearest integer?\nAnswer: 5654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*w - 4*w**3 - 138*w + w**3 + 71*w + 2*w**2 as c*w**2 + y*w + t*w**3 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10038534 divided by 759?\nAnswer: -13226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65714129 to the power of 1\/2, to the nearest integer?\nAnswer: 8106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/4)*a*a**(-1\/2))**(-26))**(3\/5))**37 assuming a is positive.\nAnswer: a**(-4329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1835262 divided by -7254\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*p - 515*p + 87 - 114.\nAnswer: 4*p - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o + 34*o - 15*o - 38*o**2.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 7, x: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/((-4)\/7))\/1. What is the remainder when 11 is divided by (2 - 1) + (-5 - s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyttnntttvtttvtt. What is prob of sequence ntv?\nAnswer: 11\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4384 + 4406. What is the highest common factor of 143 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 111 - (-1 + 0). Suppose -w = 2*i - 17. Let s = i - -80. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-30)\/3)\/(3800\/(-50)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 15*c**2 - c**2 + 2*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14502\/11 - -811441\/616. Find the common denominator of a and 178\/(-40)*((-1375)\/154)\/(-25).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 912*a**2 - 719*a**2 + 1557*a**2 in the form c*a**2 + p + d*a and give c.\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by 4406\nAnswer: 37\/2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + -0.2. Let l = -148\/395 - 2\/79. Let q = 4243 - 4246. Which is the nearest to m? (a) q (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000923 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -59*k**7\/105 - 2*k**5\/15 - 7*k**4\/12 - 10*k**2 + 5*k. What is the third derivative of n(v) wrt v?\nAnswer: -2832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 556 + 1009. Does 30 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 5, -9, -2\/9, 278\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/(3\/(-6)). Let c = 163\/15 + -61\/5. Let d = 807\/8 + -101. What is the smallest value in d, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 55*x - 95. Let o(g) = -g + 2. Let k(d) = -b(d) + o(d). What is the derivative of k(t) wrt t?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -o, -3*f = 4*o + 4 - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.4 and -0.34.\nAnswer: -4.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*s - 9*s - 8*s + 11 wrt s?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 13\/24?\nAnswer: 13\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:03 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ea25 (base 16) in base 10?\nAnswer: 59941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -907*d + 897*d + 15840 = 0. What is the greatest common divisor of 880 and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 3*p**2 - 3*p - 3*p)*(-152 + 152 + 6*p).\nAnswer: 18*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*t - 15 = 0, 4*t = 4*v - 22 - 2. Suppose -n + v = -2*q, q = -n - 12 + 18. What is the greatest common divisor of 160 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1141\/(-406) - 2\/4. Which is greater: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voov when four letters picked without replacement from vovvvvvov.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 3*i + 2. Let h be ((-9)\/12)\/(-3 - 13\/(-4)). Let a(b) = 4*b**2 + 8*b + 6. What is h*a(p) + 8*t(p)?\nAnswer: -4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 31. Let q(i) = 2*i**2 + 60. Determine -14*m(n) - 6*q(n).\nAnswer: 2*n**2 + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.32+-382428\nAnswer: -382425.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103999 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.2069 + -0.2069. Which is the nearest to 3? (a) -0.5 (b) -0.3 (c) y (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249238929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + -11)\/3*-1. Suppose -c = c + w*j + 473, 2*c + 3*j = -463. Let n = 811 + c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3194.765 litres?\nAnswer: 3194765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/(-273) - (68 - 72734\/1066)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 5*o**2 + 4*o**2)*(115 - 1385 + 516).\nAnswer: -3016*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2835317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from xxxxqxxqxxqxxx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = 3*r - 4*l, 2*l + 2 - 10 = 0. Let x = 75 + r. List the prime factors of (9 - 3)\/(x\/(-10)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-35)\/(-25))*-5. What is the second derivative of 3*g - 3*g**k + 0*g + 2*g**2 + 3*g**2 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 2, g: 2, t: 2, w: 3, p: 1}. Give prob of picking 1 w and 2 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 448, 895, 1342?\n\"Answer: 447*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24537 + 28709055.\nAnswer: 28733592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5188411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38524 is divided by 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)\/((-1)\/(-5)). Suppose y - q*d - 28 = 0, -44 = -2*y + d - 6. Solve -4*u = g + y, 12 = -5*u + 3*g - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.16879 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 33*k**2 + 335*k + 11734. Calculate h(-32).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7\/4, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n + 13 + 65*n**2 - 10 + 2*n - 3*n**3 - 64*n**2. What is d(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 11, f: 1, d: 6}. What is prob of sequence dfc?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-40))\/(5\/150). Solve -t*g + 4*m - 7 = -15*g, 4*m - 8 = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2126*z = -2141*z - 75 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 7*i + 40. Let a be n(11). Let s(u) = -4*u + 1. What is s(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - z + z + 122 + 145 - 250.\nAnswer: -z + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 3100 = 0. Round z to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1340)\/268 - (8\/10 - (-6304)\/(-80))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5752000 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*c + 2600 - 2678 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2904 and 3630.\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2800 and 77350.\nAnswer: 618800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**7\/70 - n**4\/12 - 2*n**2 - 4*n. Let b(j) be the first derivative of h(j). What is the second derivative of b(k) wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4121 and 164523?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w + 74. Let i be q(-12). Suppose -i*n = -3*n + 5. Solve -z - 4*z - 28 = s, 2*s - n*z = 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.23. Let o = w - -4.03. Sort 1, 0.5, o in decreasing order.\nAnswer: o, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2498768137 to the nearest integer?\nAnswer: 49988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1739 or 1737?\nAnswer: 1739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -335 and -0.2266155546.\nAnswer: -335.2266155546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 2. Let a be j(0). Solve 0*n + n = -a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3\/3 - 180380*i**2 + 4909453235*i - 4686591196490\/3 = 0. Calculate i.\nAnswer: 322, 53953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23514, -23518, -23510, -23484, -23434, -23354, -23238, -23080?\n\"Answer: m**3 - 11*m - 23504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2463231 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -39*h. Let n(i) = -3*i - 7*i + i + 8*i - i. Give q(n(z)).\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 79*z + 92*z + 68*z - 244*z - 2.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/((-14)\/168*8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-3) - 0 - 2. Let n = -35 + 39. Put -3, n, c in descending order.\nAnswer: n, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.031 - 98.96.\nAnswer: -98.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7734 - 1365 = -759*o + 422*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 2, h: 2, b: 6}. Give prob of sequence ccz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -25.9. Let y be 4\/6*6\/4. What is the closest to d in 2, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 - 4\/3. Let u(b) = 6*b**2 - 2180*b - 1 + 2178*b + 4*b**2. Calculate u(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 57, 72, 107, 168, 261, 392?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 3*w**2 - w**2)*(2*w**2 - 5*w**2 + 4*w**2)*(0 + 0 + 5).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 34*a**3 + 2*a**2 - 5*a**2.\nAnswer: 34*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/2757130 and -34\/85195317.\nAnswer: 851953170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 - 1. Let n be x(-1). Suppose 4*l + 8 - 52 = 0. Find the second derivative of 9*c - c**n + 3*c**4 - l*c wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 0.3 in ascending order.\nAnswer: -2, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87224.130278 - 87224. Round j to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/8*(-29 + -1). Suppose 0*w = 5*w - o. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*c**3 + 2*c**2 + c + 6 wrt c.\nAnswer: 276*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddtt when four letters picked without replacement from {d: 3, t: 9, s: 4, c: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 - 258. Calculate the remainder when 80 is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:29 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*h - 160 = 2*h, 14*s - h + 236 = -6*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 12:35 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 16*n**2 + 10*n - 7. Let a be s(2). Suppose -t + 4*u = -a, -4*u + 165 = 4*t - 203. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 24*p**2 + 24*p**2 + 62*p**2 - 2*p**2.\nAnswer: 111*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 1560.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from youii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220407 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-63) - (-55)\/45. Which is the closest to -97? (a) -2 (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuu when three letters picked without replacement from {a: 1, q: 3, u: 4, w: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12383980\/19 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*a = -20. Let y = 80.1 - 81.1. What is the second smallest value in a, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 2 = n + w, -164 = -4*n - 5*w. Let f = 45 - n. Calculate the highest common divisor of 99 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1215\/(-10))\/27*(-28)\/63\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.641 - 8.941. Let d be (-1)\/(-6)*(11 + -8). Which is the closest to 1? (a) -4 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-3)*(-6)\/(-7). Suppose -d*z = f - 12, 5*z = -4*f - 0*f + 15. What is the derivative of -7 + 2*l - 4*l + z wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 147, 281, 405, 513, 599, 657?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1382*d + 17924. Give w(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y**2 + 282*y - 85. Give x(35).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1261502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3\/4 + 4741*m**2\/4 - 237*m = 0. Calculate m.\nAnswer: 0, 1\/5, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - (2 + (54 + -21 - (7 - 8)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h - 60. Let b = 43 - h. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 17 = -2*r, -r + 34*u + 21 = 39*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 8. Let g be k(-9). Let u(b) = 7*b - 3*b - b**2 - 2*b**2 + 4*b**2 - 6. Let n be u(-5). Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3687774?\nAnswer: 2, 3, 23, 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78796836?\nAnswer: 2, 3, 17, 199, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -16*b + 11. Let w(j) = -6*j + 3. Let m(i) = -6*w(i) + 2*z(i). Determine m(-11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(10)\/sqrt(2)))\/((sqrt(90) + (sqrt(90) - 2*sqrt(90)) + sqrt(90) - sqrt(90) - sqrt(90) - sqrt(90))\/sqrt(9)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10.4 (b) 4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5580 divided by -36.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 215, 206, 189, 164?\n\"Answer: -4*a**2 + 3*a + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*z + 244*z = 624 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**4\/4 - 7*n**3\/3 - 18*n**2. What is the tens digit of p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 12*r - 25. Let j(c) = c**2 + 7*c - 11. Let b be j(-9). Let s be a(b). Let m be 2\/(-6)*(-529)\/s + -3. Is m less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120 is divided by 308?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 12, j + 1674 = 5*j + 2*z. Suppose 13*i - j - 958 = 0. What is the remainder when i is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 9*w**2 + 3*w - 12. Does 7 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(7\/2)*v\/v**(1\/4) assuming v is positive.\nAnswer: v**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1278 by 6.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -109 + 103. Sort -3, f, 0, 1 in descending order.\nAnswer: 1, 0, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452242086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2856 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-14 + 204\/36)*-1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 + 44*c**3 - 144*c**2 - 1296*c - 1728 = 0. Calculate c.\nAnswer: -12, -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/661 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.5, 1, 252, -0.2, 6 in decreasing order.\nAnswer: 252, 6, 1, -0.2, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 7 - (-2 - -5)) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3408173 or 0?\nAnswer: -3408173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2919*p - 1401122. Determine y(480).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) + (-260)\/25. What is the remainder when 10 is divided by (-56)\/b - 2\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r + 21. Let j be 56 - 0\/1 - -3. Let x = j + -34. What is the remainder when x is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhzzczh. What is prob of picking 1 c, 1 h, and 1 z?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*l + 8 - 26 + 18 as d + a*l and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) + (-2 - (-388)\/198)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84774059?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 - 379\/2. Which is the closest to -0.1? (a) -2 (b) x (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y - 3. Let o(u) = -8*u + 2. Let l(t) = -2*a(t) - 3*o(t). Let k(i) = 15*i**2 + 8*i**2 - 6*i**2. Determine l(k(r)).\nAnswer: 102*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111759082 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: What is 1869964.376 - -1033?\nAnswer: 1870997.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -172475 + -0.11\nAnswer: -172475.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 6\/3 + 3. Let h be (-108)\/30 - (q - -1). Let k = -16\/5 - h. Which is the second biggest value? (a) -4 (b) k (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppeexeeoeeopeooexee. What is prob of sequence pxxe?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s - 2*s + 4*s - 1 - 1. Let a be f(-4). Solve a*k + 15 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 2. Suppose -30 = -6*w + 138. Suppose 12*c = -8 - w. What is h(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54464046 > -54464047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + -0.34. What is the second smallest value in m, -1\/3, -1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27960, -27690, -26904, -25344, -22752, -18870, -13440?\nAnswer: -6204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9, -0.1, -0.07928, 0.2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.4 and 3?\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 39019 + ((-46)\/(-5) - (-132)\/(-110))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoke when four letters picked without replacement from rrkeokrkrkrorgoore?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4950*j**3 - 126*j**2 - 252. Let q(y) = 198*y**3 - 5*y**2 - 10. Determine -10*d(f) + 252*q(f).\nAnswer: 396*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 = -31. Let l(q) = 2*q**2 - q - 1. Let h be l(-1). What is the least common multiple of (-4)\/(-8)*80\/h and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = 7. What is the units digit of 110\/12 - (-1)\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3 - 2. Let u = w - -2. Suppose -q = -5*z - 29, 6*q = q + u*z + 233. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 16 = 14*i, -4*i - 2268 = -4*m. Let j = m + -370. List the prime factors of j.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97\/3 - -32. Which is the nearest to t? (a) 5 (b) 0 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.9 times -173584?\nAnswer: -2065649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 13*x**2 + 13*x + 15. Let z be p(14). Let j(t) be the second derivative of -28*t**3\/3 + t**2\/2 - t. Let d be j(z). Round d to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/12 - n**3\/3 + 3*n**2\/2 - 2*n. Let c be (-4)\/(12\/9)*-1. List the prime factors of j(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - 2*m + 4*m + 11 - 8*m - 11 + (3 - 3 - 2*m)*(-4 - 1 + 4))*(667 - 667 + 36*m**3) to the form h + l*m + r*m**4 + s*m**2 + p*m**3 and give r.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 623 and 1157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, 1 p, and 1 k when four letters picked without replacement from aaanmjpaknjaajnj.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4984577 and 3?\nAnswer: 14953731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56487824 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 2955?\nAnswer: -2961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000942 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*i**2 - 22*i**2 - 12*i**2 - i**2 + (0 - i + 0)*(4*i + 0*i - 5*i))*(85 - 129 - 30).\nAnswer: 2664*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-1212)\/22))\/((-208637)\/(-75868))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5144, -5117, -5090, -5063?\n\"Answer: 27*a - 5171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/556, -5\/3, 0.1, 1\/4, 21 in increasing order.\nAnswer: -5\/3, 7\/556, 0.1, 1\/4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 146159160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/8 (b) 3 (c) 2\/7 (d) -0.1338\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/(1\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**9\/20160 - u**6\/144 + 11*u**5\/60 - 7*u**2. Let r(b) be the third derivative of d(b). Differentiate r(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 4, 5, 1, 1\/40, 9?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7159784 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/251692 and -4\/7.\nAnswer: 251692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3511 - -1501403?\nAnswer: 1453452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 - -0.21. Is 1\/40 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9))**34\/((f**(-2\/5)\/f)\/(f**1*f*f)))**(-5\/14) assuming f is positive.\nAnswer: f**(71\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14456 divided by 4?\nAnswer: 3614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1528\nAnswer: -3056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1371\/130 + -3\/65. Let o = 65 + -54. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.465561 weeks to hours.\nAnswer: 78.214248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 less than -137911183?\nAnswer: -137911182.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2123444 and -57\/8493776?\nAnswer: 8493776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 5. Let a be y(5). Suppose 0 = -g + 3*o - 23, g + 23 = -2*o - a*o. Let f = 96 - g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (56413 - -1) + ((-120)\/(-10) - 15).\nAnswer: 19, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by 56.\nAnswer: -71\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -49. Let p(a) = a + 14. Let w be p(c). Solve -3*k - 2*i - 2*i + 13 = 0, -k - 5*i + 19 = w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 59*h**2 - 6*h - 102. Is c(10) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 816 divided by -6\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = i, 0 = -2*z - 2*z - 4*i + 12. Let s = 10 - z. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:40 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124542 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 14*l + 12. What is k(-11)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24903840 and 2600?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110150 - 320?\nAnswer: 107630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381 - -1118. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.4 - 27. Which is the biggest value? (a) u (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7671 + -7669. Which is the closest to 0.2? (a) 0 (b) -4 (c) 3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*s + 14 = 56, 0 = -4*y - s - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858813 (base 10) to base 6.\nAnswer: 30223553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -606, -2\/11, 1, 14, 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98\/9 or 3\/1090?\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 68*x + 37*x + 38*x)*(-4973 + 4973 - 164*x + 2*x + x - 4*x + (x + 3*x - 3*x)*(-3 + 5 - 3)) in the form f + q*x + s*x**2 and give q.\nAnswer: -2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 612805, -1, -3.\nAnswer: -3, -1, 25, 612805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 61120, 61118, 61116?\n\"Answer: -2*g + 61122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 27*x**2 - 8*x**2 + 21 - 40 in the form y*x**2 + c + u*x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1854.57mm?\nAnswer: 1854570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3127\/66 - -47. What is the common denominator of b and -21\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3067*d + 3094*d = 71550. What is the greatest common divisor of 318 and d?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 15. Let r(v) = -v**3 + 3*v**2 + v + 3. Let g(j) = -10*j**2 - 3*j - 8 + 5*j**2 + 3*j**3 - 2*j**2 - j**2. Give k*g(s) - 8*r(s).\nAnswer: -s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -106*t**2 + 4*t + 4. Let k(x) = -106*x**2 + 3*x + 3. Calculate -3*i(d) + 4*k(d).\nAnswer: -106*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1094 * -0.3\nAnswer: -0.03282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 7, 0.2, 2\/17, 2 in descending order.\nAnswer: 7, 2, 0.2, 2\/17, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 - 94*m - 4418.\nAnswer: -(m + 94)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -4)*(-99)\/(-462).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 + 2398184*s**2 + 95932160*s + 959337600 = 0?\nAnswer: -20, 599586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -25*s + 7. Let r(h) = 74*h - 20. Let k(t) = 17*f(t) + 6*r(t). Suppose 2*v - 6 = -v. Is k(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-69)\/(-46)*-6?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 422 = -170. Let o be (-224)\/(-80) + 4\/(-5). Suppose -2*k + v = 2*k + 5*t, o*k = -t + 42. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47628\/(-148176))\/(2\/(-168))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*v + 17*v**3 - 2*v**2 - 1 - 238*v + 146*v in the form p + z*v**2 + s*v**3 + u*v and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8880885t to nanograms.\nAnswer: 888088500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -504 - -525. What is the greatest common divisor of 133 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 325*x - 3261. What is c(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3870 - -7459. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23952 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:51 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 66*o**4 - 117852*o**3 - 9912744*o**2.\nAnswer: 3*o**2*(o - 222)*(o + 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -10 in ascending order.\nAnswer: -10, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7*n. Solve n*h - 5*h = -q + 15, -h - 17 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495493377.\nAnswer: 3, 165164459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13258 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.2 - 30.8. Let k = t + 36. Sort k, 0.8, 0.3.\nAnswer: k, 0.3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 4. Let k be 2*4\/4*-1. Let g be r(k). Suppose -u - 4*a - 14 = a, -2*a = -g*u + 8. Are 2 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 + 258*b - 6. Let p(g) = 6*g**2 - 256*g + 5. What is -5*c(n) - 6*p(n)?\nAnswer: -n**2 + 246*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/19 less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 285213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.3. Let d = 2216\/4851 - 1\/441. Let l = d + -3\/55. What is the nearest to l in n, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 - 2. Let q = -7 + -112. Let o = 832\/7 + q. Which is the biggest value? (a) h (b) -4\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(-4)*l)\/l))\/((l*(l\/(l\/l**(3\/4)))\/l)\/l*l*l))**(10\/7)\/(l**(2\/11)*l\/l**8*(l**8\/l)\/(l*l*l\/(l**(-6)\/l))) assuming l is positive.\nAnswer: l**(2007\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= -0.1403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, -2 in decreasing order.\nAnswer: 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -3\/4597, 0.0698 in increasing order.\nAnswer: -20, -3\/4597, 0.0698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1258 - -3106. Calculate the smallest common multiple of 1512 and k.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 2*b**2 + b - 4. Let x(g) = 3*g**3 + 12*g**2 - 2*g - 26. Calculate 6*a(w) - x(w).\nAnswer: 9*w**3 + 8*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-25) - (-18009)\/45. What is the highest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 10:55 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*k + 3*h = -140*k, -40 = 5*k - 3*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 295e5 + 84?\nAnswer: 29679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-9) + 12 - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)\/((-4)\/12). Suppose -p*b - 3 = -15. Suppose -2*q = 2*q - 4*y - 44, b*y = 4. What is the highest common divisor of q and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/60 + c**4\/4 - c**3\/2 + 453*c**2 - c. Let p(g) = -2*g**2 - 7*g + 2. What is 2*p(o) + 3*t(o)?\nAnswer: -o**2 + 4*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/120)\/(27\/108).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4352 divided by 34\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 7:14 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5859\/168*200\/450.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 4566*y - 5212089.\nAnswer: -(y + 2283)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1736786982 - -5.\nAnswer: 4.8263213018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47.7 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -0.1, -5, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.76 and 1415276916?\nAnswer: 1415276915.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 - 8*u**2 - 12*u - 4. Suppose g + 2*i = 4*g + 12, 0 = 4*g + 2*i + 2. Let a be p(g). Solve 17*j - 22*j - a = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {x: 5, h: 3, l: 2, w: 1, m: 1, c: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379993482 divided by 34544862.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 234, -5, 7, -12 in increasing order.\nAnswer: -12, -11, -5, 7, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 3111535578 - 3111535578.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0269 + -403.0269. Let i = w + 402.9817. What is i rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*h + 5*c, -2*c - 2430 + 2420 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 1\/15*l**6 - 2\/5*l - 3\/25*l**5 + 1\/3*l**3 - 25 + 3\/10*l**2 - 1\/4*l**4. Determine x so that j(x) = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35361, 141466, 318329, 565968, 884401, 1273646, 1733721?\nAnswer: 2264644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203589540 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2394.4 - -2125. Let i = z - -256.412. Let y = i - -13. Round y to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 24*z**2 + 2. Let t be j(-24). Suppose -s = t*c - 0*c, 0 = -2*s - c + 3. Solve -y = -s*o + 7, 5*o = -3*y + 8 + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**5 + 10*p**5 - 52*p**5 + 62*p wrt p.\nAnswer: -960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2134\/83527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 - 2122*c**2\/3 - 708*c.\nAnswer: 2*c*(c - 1062)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*y**2 + 82 - 82 + (y**2 + 0*y**2 - 3*y**2)*(3 + 0 - 2) + (17*y**2 - y**2 - 8*y**2 + (4 - 4 + 2*y)*(4*y - y - 2*y))*(-2 - 1 + 8).\nAnswer: 69*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34108 is divided by 621.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1576, -2\/7, 2\/129.\nAnswer: -2\/7, 2\/129, 0.3, 1576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-9))\/(-1*2). Let w = -0.1 + 0.3. Let k = -260 - -255. Sort k, w, r in decreasing order.\nAnswer: w, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 709, 692, -1 in ascending order.\nAnswer: -1, 692, 709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 101201011122 (base 3) to base 4\nAnswer: 303131312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/13 (b) -14 (c) -2\/7 (d) -5 (e) -340.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 36. Let y = -22 - -31. Let k = -7 + y. Solve k*s = -4*m + 6*m - o, -m = s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 109916*t\/7 - 15702.\nAnswer: -2*(t + 1)*(t + 54957)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5\/4 (b) -17 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**2*k + d**2 - 2*d*k + 3*d - 296*k + 104 wrt k.\nAnswer: -3*d**2 - 2*d - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.37146 times 1\nAnswer: 0.37146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 4\/3, 73, -20, -3, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175284 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94160.51t in milligrams?\nAnswer: 94160510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41870388?\nAnswer: 2, 3, 7, 17, 109, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.90972496 rounded to two dps?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 15*h + 25. Let c be q(14). Suppose 55 = c*f - 88. Does 14 divide (3 - 0)\/(f\/1274)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 5.2. Let y = -25 - -35. Let m = y - 6. Which is the third smallest value? (a) 1 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1165 + -847. Let d = -1079 - j. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 2*s - 4*s - 5237 + 5215, 1 = 2*s - 5*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4244 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*h. Let k(g) = g + 9. Determine k(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = -4*q. Let u = 7\/6 + -31\/42. Let g = -0.88 - 0.12. Sort q, u, g.\nAnswer: q, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16976281.23 rounded to the nearest one hundred thousand?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - 20.79. Let v = 0.1135 - -20.5265. Let x = s + v. Round x to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 92.98763 centimeters?\nAnswer: 929876.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -4, 25, -29, 777, -1 in descending order.\nAnswer: 777, 25, 2, -1, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11115 and 342?\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20677437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 412537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58271\/349554 + 2\/58259. Put 1\/3, 2\/615, o in increasing order.\nAnswer: o, 2\/615, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 + j. Let t be b(1). Suppose -5*r + t*g - 60 = -10*r, -2*r - g = -21. Let x = 11 - r. What is the highest common divisor of 15 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 6:39 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0) + -1 + -1. Let t = -184 + 179. Let n = y - t. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -101, 2193, -9 in descending order.\nAnswer: 2193, -5, -9, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 5. Let c = 25687.3 + -25687. What is the closest to 1 in q, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/25 - 11\/25. Let l = -6.7 + 11.7. Let r = -0.05 + -3.95. What is the second biggest value in r, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 445645.7 millimeters in kilometers?\nAnswer: 0.4456457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 15*p**2 + 3*p + 65. Determine m(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242.9 + -278. Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -4\/7, -1465998, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f - 1. Suppose -c = x - 4, 3*c - 14 = -2*x - 3*x. Suppose -6*i - 4*q + 11 = -c*i, -17 = -i - 4*q. Let v be 6 + i\/1 - 0. Give z(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 1997.\nAnswer: -1997.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 + -135. Calculate the remainder when (-20)\/100 + 321\/a + 4 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 27*v. Let m(u) be the second derivative of 1\/20*u**5 + v + 0*u**2 + 0*u**3 + u - 5\/12*u**4. Find the third derivative of m(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56521080 by 11304216.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27293 + 27294. Let h = 0.06 + -0.26. Sort -8, -1.3, h, s in descending order.\nAnswer: s, h, -1.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453976 is divided by 113492.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 20*r + 1125. What is the remainder when o(-9) is divided by 106?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35207715 and 0.3.\nAnswer: 10562314.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1934.97793 to one dp.\nAnswer: -1935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 38, 84, 148, 230?\n\"Answer: 9*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -46 - 29. Suppose -r*z - 63 + 531 = 0. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.82 - 0.76. Let t = o + 1.667. What is t rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57387237 is divided by 1729.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761810 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, i: 1, p: 1}. What is prob of picking 1 h and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = -2*z. Let p = 174 - 152. Calculate the remainder when p is divided by z\/(-12) - 159\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 at most 8487\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 4*i = 4*r + 22, 3*r - 3*i = -6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -8015324\nAnswer: 9\/4007662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004008 rounded to seven dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -174\/89695 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a - 23*a + 123*a - 2 - 26*a + 2*a.\nAnswer: 103*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31763 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*c + c + 295*c**2 - 17*c - 19*c as p*c**2 + w + j*c and give p.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpcrccvbcprcrpcrcrb. What is prob of picking 2 c and 1 p?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, 4.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l*x**4 - 1379*l + 7*x**3 - 476*x - 15 wrt x.\nAnswer: -4*l*x**3 + 21*x**2 - 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6885 + 1663 + 2389)*(-v**4 + 4*v - 4*v) to s + q*v**3 + k*v**2 + b*v**4 + x*v and give b.\nAnswer: -10937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/8 + 73*r**2\/8 - 9*r.\nAnswer: -r*(r - 8)*(r - 1)*(r + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*s - 1362 = -39*s + 348 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -45*w**2 + 2. Let f(j) = -23 + 18 - 8 + 14. Determine -2*f(t) + z(t).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195615456 and 1860?\nAnswer: 978077280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y - 2. Let h be u(2). Suppose 0 = -b - 3*k + 985, h*k = -3*b + 8*k + 2890. Suppose -16*r + b = -6*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**4*z - 381*j**4 + 275*j**2 - 2*j*z + 15*j wrt j?\nAnswer: 120*j*z - 9144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*-1*(-3)\/12.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972827.\nAnswer: 972827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 + 12\/(-16))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 7:46 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1728 and 191871.\nAnswer: 36839232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 27. Suppose -3*c + 0 = -9. Suppose j = -5*y + 5*j + 58, v = c*j. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x + 2 - 6 + 4.\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, 1\/6646, -3.6, -1 in descending order.\nAnswer: 1\/6646, -0.1, -1, -2, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62\/7 in -2\/17, -3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*s**2 + 384*s**4 + 14*s**2 - 377*s**4 + 5*s**3 wrt s.\nAnswer: 168*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1280075000 to the nearest 1000000.\nAnswer: 1280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*r = 531868, l - 5*l - r - 531856 = 0. Let j be (10\/8)\/(-4 + l\/(-33240)). Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -211987, 0.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4732, 4585, 4438, 4291, 4144?\n\"Answer: -147*l + 4879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + l + 104. Let p be w(0). Let j = p - 40. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2898*g + 138*g - 256*g as c*g + m and give c.\nAnswer: 2780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 756043 divided by -6\nAnswer: -756043\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-26)\/8)*-6*((-25752)\/648 + 40)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 219*z**2 + 4*z - 11. Is 124 a factor of g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 1. Suppose l + 0*o = -3*o + 4, 3*o + 4 = -5*l. Let b be w(l). Let x = b - 19\/4. What is the closest to x in -5\/2, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -26) + (-13 - -14) - 53.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4908753?\nAnswer: 3, 37, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1377439*z**5 + 57*z**3 + 111*z**2 - 15811*z wrt z?\nAnswer: 82646340*z**2 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115\/231? (a) 5 (b) -0.5 (c) -1 (d) -0.05 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37.7 and -145624.5?\nAnswer: 145662.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/((-4)\/(64\/(-12))). What is the derivative of -34 + x*l**2 + 73 - 21 wrt l?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*(-18)\/(-180)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/3 + 97*s**4 + 1478*s**3\/3 + 200*s**2 - 2368*s\/3 = 0.\nAnswer: -4, -2, 0, 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -2164, -3149, -4080, -4963, -5804, -6609, -7384?\nAnswer: -8135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1265, -2121, -2977, -3833, -4689?\n\"Answer: -856*h - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2763*m - 133969. Give i(-49).\nAnswer: 1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10908 and 311256?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**5 + 10*o**4 + 15*o**3 + 10*o**2 + 10*o - 4. Let a(t) = t**4 + t**3 + t - 1. Let v(s) = -10*a(s) + 2*w(s). What is z in v(z) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15087193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*i - 112*i = -30. Let p be (-2)\/(-4) - (-2)\/(-20). What is the fourth biggest value in i, -3, p, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {v: 1, h: 3, m: 3, q: 2, l: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.0693.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4611.182 to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 12:44 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + (22 - 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24752 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283475 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/28 + (-81197)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8952*w**3 - 3 + w**4 - 8954*w**3 - 75*w**2 + 1 - 18*w - 29*w**2 to the form k*w**2 + o*w + v*w**4 + n + q*w**3 and give k.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2945 and 855?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 + 235. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12315 is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 256019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3935243 to the power of 1\/2, to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 160 = 1305. Suppose -5*p - 98 = -w. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/11)*w\/w**(-5))\/((w**(-6)\/w)\/(w*w*w**(3\/10)*w*w*w)))\/((w\/(w\/(w*w**(-1\/6))))**(-34))**(1\/15) assuming w is positive.\nAnswer: w**(20797\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y. Let h(r) = 2. Let w(f) = -f**3 - 11*f**2 + 12*f - 2. Let l be w(-12). Let i(n) = -n - 3. Let z(c) = l*i(c) - 3*h(c). What is z(o(p))?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 1:34 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqhh when four letters picked without replacement from {h: 3, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 - 4)*(-3*y + 2*y + 3*y) + 2*y + y - y - 3*y + 2*y - y - 17*y - y - 9*y - 5*y to p*y + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrroorrrr?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + i. Let x(p) = -p**3 + 3*p**2 + 3*p + 3. Calculate -3*b(h) + x(h).\nAnswer: -h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - 9.8. Let s = p + 18. Put -0.4, -0.1, s in descending order.\nAnswer: s, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -51, -5 in descending order.\nAnswer: 4, -0.2, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9369411281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.83*-0.4\nAnswer: -0.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4508, -4187, -3842, -3461, -3032, -2543?\n\"Answer: 2*d**3 + 307*d - 4817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = 2*n - 5*n, 3*n - 6 = 3*v. Let k be (-2)\/3 - 26\/n. Let f(t) = -5*t + 7. Let d be f(k). What is the highest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*i + 53 = 0, -2*q - q - 2*i + 41 = 0. Suppose w - 18 - q = 0. Suppose -3*o - 4*d + 136 = o, -5*o - 4*d + 168 = 0. Is o at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4868 - -10068. What is s rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*g**4\/17 + 9543152*g**3\/17 + 353450*g**2\/17 = 0. What is g?\nAnswer: -176725, -1\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 480414 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -85. Suppose -4*q + 12 - f = 0. What is the units digit of (4\/q)\/(2\/(-426))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*t = -357*t + 50. Suppose 1204 = t*o - 1566. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-10))\/((-19)\/(-30)) - 2. What is the smallest value in v, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925819025 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: Factor 115*g**2 - 839380*g + 1678300.\nAnswer: 5*(g - 2)*(23*g - 167830)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 169, 590, 1419, 2794?\nAnswer: 4853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -23021?\nAnswer: 23031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 402 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k**2 - 2*k + 1. Let f(a) = -8*a**2 - 2*a + 1. Calculate 4*f(l) - 3*y(l).\nAnswer: -5*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*g - g. Solve 20 = 3*k - 4*v, -v = -0*v + g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20668621 divided by -14669.\nAnswer: -1409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 40 = -5*w, 3*w + 6 = -0*w + 3*g. Suppose -5*o + 107 = -13. Suppose i = w*i - o. Solve 4*x + 0*x = i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851765825.\nAnswer: 5, 73, 101, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**3 + 2*a**2*n**2 - a*n*p + a*n + 6*n**2*p - 2*n*p + 3 wrt a?\nAnswer: 12*a**2 + 4*a*n**2 - n*p + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 + 66 + 23*l**2 + (l**2 + l**2 - l**2)*(2 + 1 - 2) as q*l**2 + a + r*l and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 233\/4620 and -59\/1320.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.468023 days in minutes?\nAnswer: 7873.95312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -336 - -2356\/7. Factor -2\/7*r**3 - 2\/7*r + o*r**2 + 0.\nAnswer: -2*r*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:39 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2 + 8 = 3*y, -3*c - 2*y + 18 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 22\/(-20)*2. Suppose 5*a + 15 - 5 = 0. Let u = -0.3 - 0.7. What is the closest to b in u, -3, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14*(0 - 7). Suppose -4 = n*v - 66. What is the lowest common multiple of v and (-4 - 11\/(-2))*2?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722278 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -2. Calculate the remainder when 0 - 3\/((-6)\/100) is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-2 - -4))\/(-2). Suppose 3*h + 48 = -u*h. What is the common denominator of ((-6)\/h)\/(9\/404) and 39\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894655.\nAnswer: 5, 178931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -284341.03 - -284341. Suppose 5*g + 23 = 3*l - 6*l, 5*l - 3 = 2*g. Put -1\/6, l, t, 4\/3 in decreasing order.\nAnswer: 4\/3, t, -1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 18 = -p - p, -4*p - 357 = p - 62*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -337*g**4 + 2924*g**3*h - 6*g**2*h + g**2 - 6756*g + 4*h - 2 wrt g.\nAnswer: -8088*g + 17544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 27391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + (-10 - -7) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -19031.520275086.\nAnswer: 19032.020275086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3.476 + -259\nAnswer: -255.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609397.\nAnswer: 359, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7641 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, t: 4, a: 4}. Give prob of picking 2 p and 2 t.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 5*c**2 - 7*c + 14. Let g be w(6). Suppose g = 4*s - 0. Let p(a) = -a**3 + 8*a**2 - 13*a - 6. Let v be p(5). Solve y + v = s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxx when three letters picked without replacement from xjxdveud.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 16 + 5*x - 5*x + x + 3*x + (1 - 1 - 2)*(-x - x + 3*x) - x + x + x + (-3 - 1 + 2)*(-x + 3*x - 6*x)*(-10 + 10 + 13).\nAnswer: 107*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, o: 7}. What is prob of sequence oeoo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 37*r**3\/3 + r**2\/2 - 3*r. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 63 - (12 - 0 - (3 + -3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -805 - 5*c**2 - 5*c + 805 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2041 and 102.76.\nAnswer: 209733.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j - 542. Let i = j - -833. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*y = -185*y + 585 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -42*h + 28. Suppose -4*d + h = -l, 7*l + 2*d - 38 = 3*l. What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9432 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(-1 - -2) + 0. Let t = 0 + 5. Suppose 23 = t*o - j. Calculate the remainder when 9 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1766*w**5 + 313*w - 2 wrt w?\nAnswer: 35320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*s - 5*n, 5 - 13 = -s + 4*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 461.6 and 1275923.316.\nAnswer: 1276384.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54491948471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, 4.\nAnswer: -19, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 10:51 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(2) - 6*(sqrt(32) - sqrt(2)))*4 - 4*-4*(sqrt(20)\/sqrt(4) + 3))**2 + 0.\nAnswer: 25728*sqrt(5)\/17 + 1024976\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2210, -2217, -2224?\nAnswer: -2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3) - 4\/(-12))\/(-7 - -5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 684294375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 10:58 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/1443 and -2 - 0 - ((-412)\/780 + -2)?\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 6:09 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -580, -1484, -2772, -4456, -6548, -9060, -12004?\nAnswer: -15392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btddddtdbtdttdtdttd. Give prob of picking 1 t and 1 b.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.1 and -2.154?\nAnswer: -8.8314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*o + 24526 = -1755*o - 208399 for o.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {v: 2, f: 1, l: 2, n: 1, u: 1, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.031 + 2.969. What is the third biggest value in -0.6, -1\/7, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1608982283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-81)\/4 - -3)\/(-42). Let u = -3\/14 - n. Let i = -54994\/4125 + -2\/1375. Find the common denominator of u and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 46 = b. Calculate the highest common factor of 207 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 194, 0.\nAnswer: 0, 110, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 9. Let m be d(4). Solve -11 + m = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**7\/630 - 7*f**6\/270 + 8*f**5\/45 - 2*f**4\/3 - 5*f**3\/6 - 44*f**2. Let n(j) be the first derivative of v(j). Factor n(r).\nAnswer: 4*(r - 3)*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6 + (-6613)\/(-2334))*(-17 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*b**4 + 14*b**4 - 31*b**4 - 61*b + 166 wrt b.\nAnswer: 4*b**3 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1392)\/27 + 10\/(-45). Let d = f + 52. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131431 - 0?\nAnswer: 131431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6552036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.042 - 73.042. Let c = v - -72. Let a = -0.08 - -0.38. Sort a, c, 2 in decreasing order.\nAnswer: 2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/139))**(-17\/5))**(-20\/9) assuming r is positive.\nAnswer: r**(136\/1251)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.609 and 168.6.\nAnswer: 169.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/11124 and 109\/1122288?\nAnswer: 10100592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2168156, -2168194, -2168232?\nAnswer: -2168270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11368, 22736, 34104?\nAnswer: 45472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*h = 78, 4*h + 3 = h. Let v be (-1)\/5 + 3\/s. Suppose 3*n - 9 - 3 = v. Solve -g + 1 + n = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**3 + 0*c**3 + 2*c**3 - c**4)*(8 - 17 + 6)*(54 - 50 + 31) to the form y*c**2 + x + r*c**3 + p*c**4 + g*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48 times 1787159\nAnswer: 85783632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 = -5*r + 5*n, -2*r - 2*n = -246 + 12. Suppose 23*h + 0*h - r = 0. Solve -h*l - 8 = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcwwdfxcfff. Give prob of sequence dfx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36034 * -5.\nAnswer: 180170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33253233 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 741.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 4*h**2 + h + 10. Suppose -3*m - 21 = x - 0*m, -3*m - 12 = -2*x. Give f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbblbblb. What is prob of picking 2 b and 2 l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = 4*b, 0 = -b - b + 4. Calculate the remainder when 116 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4*x**3 + 194907*o**4*x**2 - 1358352*x**3 with respect to o.\nAnswer: 4*o**3*x**3 + 779628*o**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -32 - -29 - (-2*27 + -1). Solve x - 2 = w, -3*x = g*w - 51*w + 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**7\/s)\/s)\/s**(-1\/3))\/(s**(1\/4)\/(s\/s**(-3\/7)*s)) assuming s is positive.\nAnswer: s**(631\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32084000 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Suppose -k = d*k. What is the units digit of 2 + k + 1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*x + 4 - 16, 0 = 4*x - 16. Solve n = 2*h + 3*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 - -54 - (3 - (2 + -7 - -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 12, s: 1}. What is prob of sequence cs?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*i + 157*i - 9738 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171.148 - -175. Let o = -0.048 - s. Let w = -1.1 + o. Which is the smallest value? (a) 0.1 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23985860.17 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = -517 + 571 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6956274 and -5832.7.\nAnswer: 6950441.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkwk. Give prob of sequence kkw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127 or 129116?\nAnswer: 129116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3524635 or 3524748?\nAnswer: 3524748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:02 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2390 - -4334. Is z a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 49. Suppose -51*j = 150*j - 170*j - 1581. What is the remainder when j is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 21*h**2 + 9*h - 17. Let n(i) = -i**3 + 7*i**2 + 8. Let u(o) = -o + 11. Let z be u(4). Let f be n(z). Is a(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/63*9\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1736825 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4 = v. Solve -4*m + v = -8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let x(i) be the second derivative of 17*i**4\/12 - i**3\/3 + 384*i. Let c be x(k). Solve 5*h - 12 = 5*d - d, 0 = 5*d + 4*h + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217484557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6718455 or -6718453?\nAnswer: -6718455","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*l = 970, 5*l - 329 = -k - 24. Suppose -k*a + 333*a = 0. Solve a = n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 4*c + 5, 2*t = -4*c + 50. Suppose -5*f + 10*f - 50 = 4*h, -4*f - h + t = 0. Suppose 3*q - f = 4*m, 3*m + 3*q - 2 = 4. Is m greater than 1\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380\/77 + 4071\/154. Let k(v) be the first derivative of 0*v - 8*v**3 + w*v**2 + 3. Find the second derivative of k(q) wrt q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158104?\nAnswer: 2, 19763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 204, 305?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.5, 440, 2\/29, -253?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(6\/1))\/(6\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179.47 - -3.47. Let y = t + 175.8. Is 0.36 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 8533224?\nAnswer: 8533224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/3 and 5\/282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 4*n + 2. Let l(b) be the first derivative of 8*b**3\/3 + 16*b**2 + 15*b + 1. Let k(r) = 6*l(r) - 51*t(r). Determine y, given that k(y) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 12 = 4*y. Let r(c) = -c**3 - 2*c**2 + 5*c - 3. Let j be r(-4). Suppose -5*a = 2*u + 3*u - 5, -2*u = -5*a - j. Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 15. Sort -1, k, 3\/7 in ascending order.\nAnswer: k, -1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*a**3*d + 3*a**2*d + 51*a**2 + 187111*a*d wrt a.\nAnswer: -366*a*d + 6*d + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 39*a**2 + 152*a - 2. Determine s(-5).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 2088.1?\nAnswer: -2087.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43310 - 43247. Let f(l) = l**2 + 4*l + 2. Let u be f(-5). Calculate the greatest common factor of u and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2881 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.08374nm to meters.\nAnswer: 0.00000008408374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 35*c**2 - 15*c - 37. Let f be d(38). Suppose -19284 = -19*s + f. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/4*66\/(-55). Solve l = -18 + x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -17. Let p = -2 + 5. Sort p, h, -2\/5 in ascending order.\nAnswer: h, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 99\/5. Let w = 0.9 - -0.1. Which is the nearest to w? (a) 1 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19419655 divided by 63671.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1359488, 2718962, 4078430, 5437892, 6797348, 8156798?\n\"Answer: -3*l**2 + 1359483*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -241*y - 857*y - 51606 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975 divided by -75.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:34 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 2, -81, -12141 in ascending order.\nAnswer: -12141, -81, -66, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(272\/(-3)))\/(20*(-9)\/(-240))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178975, 358091, 537381, 716839, 896459, 1076235, 1256161, 1436231?\nAnswer: 1616439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + f - 7 - f**2 + 9*f**3 - 7*f. Suppose -66 = 9*a - 417. Let z = a - 46. Let g(m) = 10*m**3 + 2*m**2 - 7*m - 8. Determine z*i(y) + 6*g(y).\nAnswer: -3*y**3 - 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203020010 - 122030?\nAnswer: -203202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 210206121641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -54*(1034\/77)\/(24\/(-42)). Calculate the highest common divisor of y and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*r - 1)*(-3 - 3 + 5)*(10*r + 15*r + 16*r) as l*r + n + o*r**2 and give o.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 47 + 131 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-900)\/8)\/(6\/(-8)). Suppose 6*v - p = v. What is the greatest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 0. Is 38*(u\/(-4))\/6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -4*s + 32, a = 4*a + s + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 3, -2\/17, -33 in descending order.\nAnswer: 3, -2\/17, -0.6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4479 is divided by 376?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/(0 + 5) - 3. Suppose s - 138 = -g*s. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 26. Suppose 3*k + 3*d - 33 = c, -3*k - d = k - 59. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(75\/(-9) + 2). Calculate the highest common divisor of 171 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 3 + 9*h**2 - 9*h + 3 + 2. Let d be c(-10). Let a be -7 - -76 - (-8)\/d. What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/21*(-20181)\/(-138384).\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2612 + -2483. Calculate the remainder when 1801 is divided by r.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**3 - 2*g - 2. What is o(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 568526, 1136995, 1705464, 2273933, 2842402?\n\"Answer: 568469*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52227*a - 108451*a + 56224*a + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -32*r - 1506. Let g be z(-47). Let q = 0.45 + -0.05. Which is the third biggest value? (a) 1\/3 (b) g (c) -0.5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, 223\/67, -2\/11 in descending order.\nAnswer: 223\/67, 1\/11, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxxn when four letters picked without replacement from xnnnnxnnnnnnnnxn?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g**2 - 61*g**2 + 84*g**2.\nAnswer: 55*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(2 - -5) + 0\/2. Suppose -4*x + 14*v + 204 = 13*v, 3*x + 5*v - 130 = n. What is the remainder when 180 is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(5 + 24 + 15)*(3*o + 3*o + 0*o).\nAnswer: 264*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 373*q**2 + 377*q**2 - 130*q**2 + 573*q**2. Let m(g) = 2*g**2. Determine m(d(h)).\nAnswer: 2846498*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24990143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(2*(-14)\/8))\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, -76, -362, -934, -1888, -3320, -5326, -8002?\n\"Answer: -16*s**3 + s**2 + 13*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 7*c + 1. Let r be f(7). Let t be 3 - r - 65\/(-1). Suppose -5*i = 2*d + 20 - 137, t = 3*i + 2*d. What is the common denominator of 43\/6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from vviviiwiwvw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 - b**2 - 3*b. Suppose 3 = -3*i - 3*l, 4*i - 5*l = -2*l + 24. Let n(x) = 7*x**3 + 2*x**2 + 5*x. Determine i*n(y) + 5*t(y).\nAnswer: y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 0 - (-21)\/(-9). Suppose -153*z + 134 = -500 + 22. Let r = -1.1 - -0.1. What is the nearest to 2\/3 in z, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27 - 0.04. Let y = w - -0.01. Let k = 82 + -329\/4. What is the closest to -2\/5 in 3, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 51.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*((sqrt(168)\/sqrt(3))\/sqrt(8) + sqrt(63) + 4).\nAnswer: 17 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 + 10*d - 24. Let j be c(6). Suppose 3*f - j - 12 = 2*v, 4*f - 5*v = 249. Suppose -f = 4*u - 5*u. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24804, -25983, -27150, -28299, -29424, -30519, -31578, -32595?\n\"Answer: l**3 - 1186*l - 23619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 - 2 - -4) + 7 - 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 2613 = m. Suppose -4*f = 3 - 19, -5*z + f + m = 0. Suppose -33*t - 96 = -z*t. Calculate the highest common factor of 42 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 8*l**2 - 4*l + 21. Let u be m(-8). What is the highest common divisor of 583 and u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**2 + 22316*i - 156153. What is r(7)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Differentiate -l*o**2 - 2 - 3 + 1 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192\/361 or 2?\nAnswer: 192\/361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*j + 8, h - 11*j + 4 = -9*j. Solve 3*f = h*i + 32, 0 = 2*f + 5*i - 1 + 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/105, 11, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.097 + 1.0969519. What is j rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 32 + 6*p - 10 - 2*p - 2*p as m + u*p and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 + 120*m**4 + 705*m**3 - 730*m**2 - 7800*m = 0. Calculate m.\nAnswer: -13, -10, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90.44533 - -147.44632. Let u = w - 57. Round u to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105 or -605?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -53, -117, -205?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-37)\/(-3))\/(236\/12 - 4) and 17\/11?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 308212?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 - 7*m - 7. Let r(d) = -d**2 + d + 1. Let x(j) = 2*o(j) + 14*r(j). Let y be 2\/(-3) + (-5)\/(-3). Let f(p) = 1 - y + 4*p. Calculate x(f(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 287440296 and 176993?\nAnswer: 287263303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223 - 670 + 221 - 120*j - 194*j + 218)*(-3 + 0 + 4).\nAnswer: -314*j - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.80488 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19336, -19006, -18464, -17716, -16768, -15626?\nAnswer: -14296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14514000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31, 28, 85, 140, 193, 244, 293?\n\"Answer: -h**2 + 62*h - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 - -0.9. Let t = -39\/11 + 205\/33. Which is the second smallest value? (a) -0.4 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/15 + 77162*t\/5 + 231484\/15 = 0. What is t?\nAnswer: -115742, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134 or 83?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 202021679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 586245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1808038 to the nearest 1000.\nAnswer: -1808000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 2. Let q be x(0). Let f be (q - (-10)\/(-4))*0. Suppose f = k + 3*k - 4*s - 84, 3*s = 3. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17501*t**2 + t + 2. Let a be g(2). Round a to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-8))**(-2\/39)\/((c*(c**(9\/4)*c)\/c)\/((c\/(c**(3\/7)*c))\/c)) assuming c is positive.\nAnswer: c**(-4717\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + 0 + 52\/13)*5. Let a be 45\/(-10)*y\/(-54). Solve 0 = a*i - 3*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 11 = -2*g + 7, -35 = -5*g - 5*f. Solve 2*r = g*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r + 6 = 4*v, 5*r - 10 = 0. Let s = 6 - -14. Suppose 4*x - s - 16 = 0. Which is the second smallest value? (a) -2 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -46. Let a = l - -32. Sort -4, a, 1 in decreasing order.\nAnswer: 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - x + 18 = 0, m + 3*x - 22 = -3*m. Factor -g**2 + 6*g - 5*g + 5*g - g**2 - m.\nAnswer: -2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14c + -3?\nAnswer: -14f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2561, 3920, 6187, 9368, 13469, 18496?\n\"Answer: z**3 + 448*z**2 + 8*z + 2104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 200*k**2 - 38*k - 7007. Calculate u(-200).\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(84\/24). Which is the second biggest value? (a) -1 (b) -5 (c) u (d) -18\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 39. Calculate the remainder when 215 is divided by z\/(-4) + 6 + (-294)\/(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3562 and 1233.\nAnswer: 32058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242 + -240. Suppose h = -d*h, h - 4 = -4*i. Suppose 3*a - 11 = 5*u - 2, -9 = -3*u - 3*a. Solve s - 3 - i = u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -55*k**4\/3 - 1585*k**3\/3 - 7300*k**2\/3 + 460*k = 0.\nAnswer: -23, -6, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 8*m**2 + 8*m + 13. Let a be g(9). Suppose -2*r - v + 1 = 0, -a*r - 33 = v - 6*v. Which is bigger: -3\/5 or r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 13*k**2 - 2*k - 28. What is r(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15214, -30444, -45674, -60904, -76134, -91364?\nAnswer: -106594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 2*k + 1. Let v(c) = 5*c + 54. Suppose 0 = 8*z - 3*z - 40. Let n be v(z). Let g = -95 + n. Give j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + 0.8. Is t greater than -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 b when four letters picked without replacement from {p: 3, q: 2, b: 7, d: 4, l: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339967087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 180402.5ml?\nAnswer: 180.4025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhs when three letters picked without replacement from {h: 5, y: 1, s: 1, d: 3}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461900 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1288253 (base 10) to base 7\nAnswer: 13643561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*m - m + 31, -4*i - 5*m = -115. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 10. Let i be b(7). Let t be 26\/39*(-6)\/i. Solve -u + t = -0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 13 - 29. Solve -d*q + 11 = -4*n + q, -3*q = 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 2. Let z be q(0). Let p be 5*z\/(2\/(-1)). Suppose 53 = -5*u + 278. Calculate the greatest common divisor of p and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3\/(-7) - -4023*67\/405216?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -25. Let j(q) = -2*q - 4. Let y(a) = 2*a + 10. Let x be y(-7). Let g be j(x). Solve z = -g*f - f - 22, r = -4*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42875076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 12. Let g be ((-24)\/15)\/((-3)\/(-15)). What is the least common multiple of 4 and r(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 2, i: 1, t: 1, u: 1, z: 1}. Give prob of sequence turz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 6*q - 3*q + 3*q - 5 + 5 + (1 - 5 + 3)*(4*q + 0*q - 3*q) + 0 + 3*q + 0.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 9*v**2 + 41*v + 8. Calculate u(-11).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -2*z**4 + 4*z**2 - 7. Let x(u) = 16*u**3 - 15*u. Let s(p) = -7*l(p) - 3*x(p). What is the second derivative of s(j) wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -2*i**3\/21 - 746*i**2\/7 + 1494*i\/7 - 1550. What is c in x(c) = 0?\nAnswer: -747, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from fnofnfffononfoonnif.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 a factor of 1820850809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/(sqrt(7) + sqrt(28)\/sqrt(4)))\/(sqrt(300) - (sqrt(300) + (sqrt(300) - (sqrt(300) + -2*sqrt(300))) + sqrt(300))).\nAnswer: -sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 2*m = -110. Suppose -m*o + 88 = -92. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14894 by -4.\nAnswer: 7447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**5\/30 + c**4\/8 - 31*c**3\/6 - 13*c**2\/2 - 19. Let t(w) be the second derivative of h(w). Is 21 a factor of t(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669427 is divided by 912.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19456663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1233245809.1 to the nearest one million.\nAnswer: -1233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/15 - -109\/105. Let m = 135.9 - 136. What is the nearest to m in -4\/3, b, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4085, 2917, 979, -1723, -5183, -9395?\n\"Answer: w**3 - 391*w**2 - 2*w + 4477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + -4 + sqrt(99) + -3 + sqrt(99)*-1) + -3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1140 + 1139.9. What is the nearest to 7 in 0.5, -2\/3, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b - 7. Let h(n) = -6*n**2 + 5*n. Determine l(h(y)).\nAnswer: -24*y**2 + 20*y - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, e: 2, a: 1, s: 6}. What is prob of sequence ss?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/11 >= 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*o*s + 4*o*t**2 + 406*o*t - 12*s + 4*t**2 + 6958 wrt o?\nAnswer: 31*s + 4*t**2 + 406*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -19. Let c(r) = r**2 + r. Let f be c(5). Let g be 12\/f - 76\/(-10). Calculate the highest common divisor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*m + 517, -5*u = -4*m + 154 - 872. What is the remainder when u is divided by 118?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22851?\nAnswer: 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6322674 is divided by 20595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 27*i - 119. Calculate d(-14).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1433 (base 7) to base 15.\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = 177*u - 121*u. Sort -3, u, -6, 0, -1.\nAnswer: u, -6, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15167, 15167, 15169, 15173, 15179?\n\"Answer: v**2 - 3*v + 15169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Let v be (-1 - 3)\/(-4) - t. Put -8, 5, v in increasing order.\nAnswer: -8, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/25 and -87\/4660?\nAnswer: 23300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 14 = -11*a - o, 2*o - 1 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84482623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -378942*q + 5684144. Calculate w(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4189974800 to the nearest integer?\nAnswer: 64730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121.956 - 0.044. Let l = t + 122.53. Round l to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 15\/2*h**2 + 1\/3*h**3 - 9 + 15*h. Is p(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 603 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-224)\/(-32)*((2 - -1)\/(-3) - 4). Put 10, 0, k, 3\/2 in increasing order.\nAnswer: k, 0, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + 2*d - 1)*(-12 + 56 + 59).\nAnswer: -103*d - 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254444012 to the nearest integer?\nAnswer: 15951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 80*n + 1972 = 0 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32955965?\nAnswer: 5, 7, 941599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*s + s = -126*s - 10274 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -34. Suppose 0 = 3*c - b - 101, 0*c = c - 4*b - 41. Calculate the remainder when (1 - 2\/1) + c is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67407*b*s - 220*b + 95 wrt s?\nAnswer: -67407*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2830 (base 14) to base 15.\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5\/9)*o)\/((o*o**(1\/3)\/o*o)\/o)*(o**(-20)\/o)\/o**(-13) assuming o is positive.\nAnswer: o**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4480 and 16560.\nAnswer: 927360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 71368?\nAnswer: 71365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 232\/3 (b) 5.6 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7 - q - 6*q + 2*q. Let i be 5\/3*(-12888)\/3580. Let m(h) = -5*h + 8. What is i*m(b) + 7*g(b)?\nAnswer: -5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -232.6?\nAnswer: 232.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*o**4 + 14*o**2 + 6*o**4 - 24*o**4 wrt o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 20) + (5 - 0) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126578926*m**2 - 143687794*m - 1?\nAnswer: -253157852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 222003033 (base 4) in base 8?\nAnswer: 520317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3120 is divided by 1523?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = 2*x, -3*x + 4*x = -c + 4. Let n be -2 - ((-6)\/x - 0). Suppose -2*q + 2*j + 0*j + 26 = n, 0 = -4*q + 5*j + 57. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 102.999702. What is i rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and (36\/18)\/(((-2)\/446)\/(-1))?\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:57 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 - 9*q**2 - 5.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 757 + 11657. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2))\/((k\/(k\/((((k**0*k*k)\/k)\/k*k)\/k)))\/k))**(6\/19) assuming k is positive.\nAnswer: k**(15\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffpv when four letters picked without replacement from pfppcvfpcpcpm?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 11*l**3)*(2*l**2 - 3*l**2 + 2*l**2).\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = 333. Is j a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -178, 1, 1205 in descending order.\nAnswer: 1205, 8, 1, -5, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1021665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -3*u, -u + 5*u = 5*d - 5. Solve 6 = -u*q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*p + 21*p - 15*p)*(0*p + 3*p + p) + 0*p**2 - 5*p**2 - 5*p**2 as n + h*p + w*p**2 and give w.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + -4.03. Let n = -2809.1 - -2809. What is the fourth biggest value in 5, t, n, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 2, f: 3, r: 3, b: 2, z: 1}. What is prob of sequence fz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10101 - 1?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2118305*v + 3357656 wrt v.\nAnswer: 2118305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*k + 3320, -13*k + 12*k = p + 667. Let o = -660 - k. Solve -o*i + 5*i = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 70 = -4*s. Let u = 11 + s. Let p(d) = d**2 + 5. Let v be p(-7). Calculate the greatest common divisor of v and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-912*x + 446*x - 4 + 183*x + 4)*(-3 + 2 + 0)*(60 + 30 + 6) to k*x + z and give k.\nAnswer: 27168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b. Let m(y) = -3*y**3 - 5*y - 11. Let z(p) = -m(p) + 4*u(p). List the prime factors of z(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*v - 7. Suppose -2*o = -v - 5. Differentiate 10*b**o - 2 - 3*b**4 - 3 - 1 wrt b.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 28*f**2. Let q(b) = -60*b + 902. What is q(z(j))?\nAnswer: -1680*j**2 + 902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, -0.2, -636, -1, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2873*t**3 + 5*t + 3981. Let m(q) = 2798*q**3 + 4*q + 3981. Let u(d) = -6*l(d) + 7*m(d). Find the first derivative of u(j) wrt j.\nAnswer: 7044*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 12 = 8*x - 12*x, 0 = 2*x + 4*t + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 4*s**2 + 12*s - 4 - 24 + 3*s**2 as n*s + w + h*s**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d**3 - 8 - 10\/3*d + 5*d**2 - 1\/3*d**4 = 0. What is d?\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(63)*-2)*-6)\/(sqrt(324) + sqrt(324) + (sqrt(324)*3 - sqrt(324))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*1\/6*10455\/(-10). Calculate the highest common divisor of 41 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18045 and 8640.\nAnswer: 3464640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 8, x: 1, r: 3, w: 3, h: 1}. Give prob of picking 2 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452846?\nAnswer: 2, 17, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvggxvsvgxxsgvxxxx. Give prob of sequence xx.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -4\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 546\/17 (b) 2 (c) -0.7 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119385272?\nAnswer: 2, 23, 97, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5720 and 429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -8*h - 14*h**2 + 16\/3*h**3 - 14. Factor n(a).\nAnswer: 4*(a - 2)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i - 4*i**3 + 3*i**3 + 6*i**3 + i**3 - 5*i**3 + (-2*i + 3*i + 2*i)*(0*i**2 + 3*i**2 - i**2))*(-2 - 3 + 3).\nAnswer: -14*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 32.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*w + 6005 - 8912 - 7939 = 0. What is the remainder when 4436 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -16 in decreasing order.\nAnswer: -2, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 - 3*g**2 - 2*g**2 + (-2*g + 1 - 1)*(-g + 5*g - 3*g) - 3*g**2 + g**2 + g**2 + 0 - g + 7*g**2 + 2 - 8*g**2 + (-5*g + 6*g - 19*g)*(3*g - g - g).\nAnswer: -23*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 4*f. Is 2 a factor of o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5009, -4, 5, 102?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4, 11, 4, 25.\nAnswer: -4, -1, 2, 4, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -8. Suppose -7*f + u*f = 27. Let c(l) = -l**2 + 13*l - 9. Calculate the lowest common multiple of c(12) and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5599 (b) 1\/3 (c) -3\/2 (d) -2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145652, 145619, 145608, 145625, 145676, 145767, 145904, 146093?\nAnswer: 146340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 25953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 26321.993 to the nearest 100.\nAnswer: 26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose b*v = -v + 44. Calculate the least common multiple of v and 3\/(-9) - 34\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1408328876 and 2.6.\nAnswer: 1408328878.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 884683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 24 = 2*c + 3, -69 = -8*u + 4*c - 73 - 96 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-63)\/2)\/(1890\/(-840)). Solve -5*v + 3 = 3*r - 24, 5*r - y = 2*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 = 5*x, -4*x + 6*m + 16 = 4*m. Suppose -14*r + 16*r = -x*y + 102612, -4*r - 2*y = -205208. Round r to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 + 23*l - 14. Let y(i) = 4*i + 13. Let p be y(7). Let w = 60 - p. Let h be b(w). Round h to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzqjzzjzq. What is prob of sequence zhj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62570 + 187708\/3. Let d be (78\/38 + -2)*-3. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.6123, -0.6 in decreasing order.\nAnswer: 0.6123, -1\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 222*n + 9080. Calculate k(-54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 4:47 PM?\nAnswer: 534","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 47835747?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 6. Let h be w\/(0 + (-3 - -1)). Suppose -3*t + 80 = 2*o + 25, 2*o - 49 = h*t. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*o - o**3 - 2*o**2 - 1 + 2*o**2.\nAnswer: -o**3 - 81*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73069*r**4 + 5177*r**2 - 2*r - 22 wrt r?\nAnswer: 1753656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6184 (base 10) to base 14.\nAnswer: 237a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.766689 centuries?\nAnswer: 5720.0268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8126.4 centimeters to meters.\nAnswer: 81.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = 3. Suppose 0 = q + 3 + c. Let k = 1 - q. Calculate the smallest common multiple of k and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 15 = 6*r. Suppose -5*m - r*s + 22 = -3*m, -32 = -5*m + 4*s. Suppose 0 = -m*q - 4*q - 4800. Round q to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1836262250?\nAnswer: 2, 5, 7345049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 6483?\nAnswer: 1\/2161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 2*z - 5*q, -3*z - q - 5 = -102. Suppose -16*a + 9*a + 49 = 0. What is the remainder when z is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -6\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -46. Let f = l - -270. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*a**3 - a**3 - a - a**3 - 7*a + 21*a + 2*a**2 to n + p*a**3 + l*a**2 + r*a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(400))\/(sqrt(2) + sqrt(6)\/(-3*sqrt(3))).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11682 - 11684. Let o(c) be the third derivative of -c**4\/12 - c**3\/2 + 3*c**2. Determine o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -51*c + 4697. Calculate the lowest common multiple of o(92) and 3\/((-6)\/(-5) - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/4 + 12309*d**2\/2 - 2027505*d + 170495550.\nAnswer: -3*(d - 7866)*(d - 170)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 - 12*r**2 + 63*r = 0?\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8781.173km?\nAnswer: 8781173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g = -15. Let k(y) = -g*y + 1 - 1 + y. Let a(h) be the third derivative of -h**4\/6 + h**2. What is a(k(x))?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + 104 - (-11 + 41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13360, -13366, -13372?\n\"Answer: -6*t - 13354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:26 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 2026461?\nAnswer: 4052922","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 56*n + 235. Let d(h) = -13*h - 60. Let m(q) = -9*d(q) - 2*k(q). What is m(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, j: 2}. What is prob of picking 3 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h\/(h*h**(-21\/2)))\/h)*h**(12\/7) assuming h is positive.\nAnswer: h**(-95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0, 0.03, -3841, 4, 1\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/20)*o)\/o**(1\/2)*(o\/o**(-5))\/(o*o**(-2\/11)) assuming o is positive.\nAnswer: o**(1239\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55439.5 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 17*j - 5. Let s be a(15). Calculate the highest common divisor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2066922?\nAnswer: 2, 3, 11, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 2*d**2 - 4*d**2 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117300 and 0.33.\nAnswer: -38709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111961, 223871, 335781, 447691?\nAnswer: 559601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 22. Suppose 5*v + y - 2135 = 0, d*v + 427 = v - y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 smaller than -1\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/30*10\/(-54). What is the third biggest value in -1\/3, 1, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 1:39 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117) + 2) - (5 + sqrt(117) + -2 - sqrt(117)))**2.\nAnswer: 540*sqrt(13) + 4437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.948302 rounded to three dps?\nAnswer: 1.948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -26. Suppose u*i = 9*i + 80. Suppose i*r - 4 = 15*r. Solve 6 = -2*k - r*n, 3*n + 2 = n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - -6 - -1 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560)\/sqrt(2))\/(-4*sqrt(160)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -6\/5, -2\/9, 0, 107, -5\/4 in descending order.\nAnswer: 110, 107, 0, -2\/9, -6\/5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1))**(-1)*(x**(1\/8)\/x)\/(x*x**(-1\/2)) assuming x is positive.\nAnswer: x**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 70961 take away -4.2260922?\nAnswer: 70965.2260922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3052999210 to the nearest 100000.\nAnswer: -3053000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.077881 or -66?\nAnswer: -0.077881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4\/(-5))*(-1539150)\/29790.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 - 3*w + 1)*(0*w**2 - 2*w**2 - 2*w**2).\nAnswer: 4*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4817 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 637.543.\nAnswer: 634.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + r = -2*r + 10, 3*r = -4*y + 35. Let g be (1 - -1) + -6 - -7. Solve -g*s - 2*s + y = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 0. Solve f = q - 0*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 2*g - 7. Let n = -13 + 17. What is the least common multiple of n and r(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -4 (c) -2 (d) 0 (e) 0.072\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148\/7 + 21. Let r = 3 + -4. Let z = r - -0.9. Which is the closest to -1\/4? (a) 6\/7 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let t be (1 - h - 2)\/1. What is the remainder when (-1)\/(19\/(-9) - t) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4962*c + 2515.\nAnswer: 4962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - (-55)\/10)*628\/(-6)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmmv when four letters picked without replacement from {v: 7, b: 2, m: 3, g: 3}?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45892\/(-5445) + (-1)\/(-6). Let b = 1744758\/55 + -31721. Let q = b + d. What is the common denominator of q and 83\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761196311 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + -0.09. Let o = -0.04 + n. Put o, -3\/5, 4 in decreasing order.\nAnswer: 4, o, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*4\/(12\/(-15)). Suppose q = 3 + 2, 226 = 3*x + f*q. What is the remainder when x is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2605\/(-15109)*-3*(-2 + 84\/45)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605951 divided by 1?\nAnswer: 2605951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 25*t. Let g(h) = -65*h. What is c(g(o))?\nAnswer: -1625*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100606 (base 8) to base 5\nAnswer: -2030113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180.698955 + 180.7. What is v rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooododddodddooo. What is prob of picking 2 d?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -16*g**3 - g**2. Let h be y(-1). Solve -2*b = b + h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*p + 1388*p - 713*p.\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350) + sqrt(350)*3*-3)\/(-4*((2*sqrt(448) - sqrt(448)) + sqrt(448) - sqrt(448))).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = -4*q, 3*p - 3*q - 12 = -3. Let n(k) = k**3 - 5*k**2 - 3*k - 4. Give n(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28482.386 - 0.1685093\nAnswer: -28482.5545093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0209283 and 7?\nAnswer: 7.0209283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l + 174*l**2 - 178*l**2 - 12*l to the form d + n*l**2 + i*l and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/75*(-30)\/(-12))\/(815\/163).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = o - 15, -5*o - 3*q + 48 = -6. Let u(p) be the first derivative of p**4\/4 - 3*p**3 + 2*p**2 - 16*p - 10. Let i be u(o). Solve 4*b = 8*b + i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -34, -41, -62, -103, -170, -269?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 65*d**2 - 45. Let j(o) = 3*o**2 - 2. Let u(s) = -45*j(s) + 2*p(s). Let c(t) = -8*t**2. Calculate c(u(n)).\nAnswer: -200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-2)\/(-6)*1. Let p(v) = -v**2 - v + 38. Is p(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6988*o - 7022*o + 0 - 3 - 15*o**2.\nAnswer: -15*o**2 - 34*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-46 - 5) + (-11 - 12 - -32) + 1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/5)*j**(2\/3)*((j\/(j**0*j))\/j)**34)**(-20) assuming j is positive.\nAnswer: j**(2036\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 5 - (33 + -33 + -15 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqqq when four letters picked without replacement from gizqqvizzigfq?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*s - 3*s - 3*x, 3*s - 4*x = 29. Which is the third smallest value? (a) 5 (b) -0.5 (c) 4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h + 103. Give b(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7\/(21\/117) - 1 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 3*w**2 + 7*w**2 + 7*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10209\/(-13944) + 6\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29088 is divided by 7100.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4151 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let a(d) be the first derivative of d**6\/45 + 32*d**3\/3 + 3. Let n(r) be the third derivative of a(r). Determine y(n(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**6\/6 - 4*p**5\/5 + 12*p**4 - 110*p**3\/3 + 97*p**2\/2 - 30*p - 14825. Factor j(r).\nAnswer: -(r - 3)*(r - 1)**3*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442740 and 7379.\nAnswer: 442740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**2 + 36*x**2 - 2*x**2 - x**3 - 11*x**2 + 4 in the form l*x**2 + k*x + y*x**3 + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 1 - 3*b + b + (-2*b + 5*b - b)*(5 - 3 + 0) - 4*b + 2*b + 5*b - 9*b - 2*b + 2*b.\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(112)\/sqrt(128))\/(sqrt(8) - (sqrt(8) + 3*sqrt(1152)) - sqrt(8)).\nAnswer: -3 - sqrt(7)\/296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k\/(k*k**(17\/2)*k))**(-4\/13)\/(k*k**(-4\/9))**37)**(-15) assuming k is positive.\nAnswer: k**(835\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 89*w + 1929. Determine g(-49).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 296, 1003, 2398, 4715, 8188?\nAnswer: 13051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:40 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a minute in milliseconds?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(1 - -2)\/3. Let l(f) = 5*f**2 - 15. Let h(c) be the first derivative of -c**3\/3 + 3*c + 987. Calculate d*l(j) + 11*h(j).\nAnswer: -j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84, -225, -472, -879, -1500, -2389?\n\"Answer: -9*i**3 + i**2 - 81*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 3*f + 2*f - 2 + 2 - 2*f + (4 - 1 - 4)*(-6*f + 4*f + f) - 1 + 1 - 2*f - 6*f + 0*f + 2*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:56 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 + -2 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**3 - 2*g**3 + 5*g**3 + 7*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400 by -100.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2\/3 (c) 127 (d) -0.0554683\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1813988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/4*i**4 + 0*i - 1\/60*i**5 - 1\/2*i**3 + 0 + i**2. Suppose 146*m - 152*m = 12. Determine g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.61 and -0.80885.\nAnswer: -1.41885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6348 + -6347.89475. Round r to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 4. Let u(w) = -2*w + 3. Calculate -4*g(h) + 3*u(h).\nAnswer: -2*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50169 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 - 33*z**3 + 36902*z**2 + 2*z - 384618?\nAnswer: 20*z**3 - 198*z + 73804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 + 4*s + 4. Suppose -3*b + 44 = -1. What is the remainder when t(-3) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4349*c - 4356. What is s(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -900972 divided by -2589.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472018477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -649 + 651. Calculate the greatest common divisor of z and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 4*j + 5*j**2. Let q(d) be the first derivative of -d**6\/180 - 8*d**3\/3 - 9. Let w(y) be the third derivative of q(y). What is w(b(g))?\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 6, 3*r = -3*s - 0*s + 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-4 - -14)\/(-2))\/6. Let a(l) be the first derivative of 7\/4*l**4 - 6 + 0*l**2 + 0*l - v*l**3. What is the third derivative of a(f) wrt f?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:44 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23658373 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*c**5*d**3 - 4*c**5 + 44*c*d**3 wrt c.\nAnswer: -560*c**3*d**3 - 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 413060 + 12023?\nAnswer: 425113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 216 in 22, 1, 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9635 in 2\/11, 291, 1?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:06 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(135)*-3*-3)\/((sqrt(60)\/sqrt(24))\/(sqrt(6)\/sqrt(3)*4)))**2.\nAnswer: 2239488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*i - 24 = 0, -5*y + 12 = -y - i. Let l be (-3)\/(-6)*10 + 0. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500))\/((sqrt(20) - sqrt(180))\/sqrt(5) + sqrt(4)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 6, x: 1, d: 1, v: 5}. Give prob of picking 1 x, 2 v, and 1 d.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(-3 + (-261)\/(-108)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43519 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*j - 72*j + j**2 - 4*j**2 to c*j + g + s*j**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*s**3 - 1222*s**2 - 60376*s.\nAnswer: -216*s - 2444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 29*t**2 - 34*t + 57. What is the hundreds digit of s(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/10 + 1\/5. Is m smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 115.3.\nAnswer: 115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4326 and 95359872.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/296, 7\/32 in ascending order.\nAnswer: -4, 3\/296, 7\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185054 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -445 - -447. Solve h - 10 = x - 5, -i = 2*h + 4*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3704 and -23?\nAnswer: 85192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*f = -2*u - 414*f + 12 + 59, -11*u - 3*f + 23 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 4. Let h be ((-1)\/(-4))\/(18\/(-8)). Let w = -6.5 + 8.5. What is the third biggest value in o, h, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140967 or 2?\nAnswer: -140967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 5, q: 3, m: 2}. Give prob of sequence tdm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -275, -3\/25, 0.26?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -1)\/(4\/(-8)). Let o(s) = s + 4. Let m be o(-4). Sort -4, m, b in decreasing order.\nAnswer: m, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 - 1?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 15. What is w(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 - 2*n**2 + 4 - 4*n + 1. Let t(g) = 5*g**2 - 5*g + 6. Let o(h) = 21*h**2 - 21*h + 25. Let i(v) = 2*o(v) - 9*t(v). Calculate -6*i(s) - 5*u(s).\nAnswer: -2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 6) + 0 + 11. What is the units digit of 1\/((l\/80)\/((-231)\/(-44)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51, -57, -63?\n\"Answer: -6*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3939210\/13 + 302720. Let g = -296 - v. Let m = 27 + -26.6. Which is the second biggest value? (a) g (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/330 and -211\/5610?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 353 + -33. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**5\/480 - 23*x**4\/64 - 643*x**2 + 3. Solve t(b) = 0 for b.\nAnswer: -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(209)*-3 - -1*(sqrt(209) - (sqrt(209)*-1 - sqrt(209))))\/((sqrt(33)*2*-1 - sqrt(33))\/(sqrt(75)*6)).\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 + -103. Let u be r\/(-4)*((-80)\/(-6))\/(-10). Sort 1\/4, u, 1, -0.5 in increasing order.\nAnswer: -0.5, 1\/4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(162) + -4)**2 + sqrt(162) + (sqrt(162) - (2 + 1*sqrt(162))**2))*3*-2 + 4.\nAnswer: -188 + 756*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 2, v: 1}. What is prob of picking 1 v, 1 f, and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5958*k + 0 + 11917*k + 0 - 5974*k. Let z(r) = -26*r. What is j(z(a))?\nAnswer: 390*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16063 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*l**2 - l**2 + 3*l**2)*(7185 + 187*l**3 - 7185).\nAnswer: -374*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, 0.4, -1\/2, -0.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/4 - 2*w**3\/3 - 2*w**2 - 3. Let d be s(3). Which is smaller: -5\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3139 + 613 - 764 = 17*g - 53*g for g.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175 - 175. Factor -262*q**2 - 6*q + 253*q**2 - 3*q**3 + m*q**3.\nAnswer: -3*q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 2)*(-12 + 2 + 2)*(0*m - 5*m + 0*m + 4*m + 2*m - 4*m - m + 4*m - m + (2 - 2*m - 2)*(-3 - 1 + 3) - m + 3*m - m) in the form w*m + g and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyhyyyhhahhhyyyhhh. Give prob of picking 1 h and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7415315 by -1955.\nAnswer: 3793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p + 334. What is c(-43)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 7*a**5\/30 - 23*a**4\/12 + 2*a**3 + 5*a**2\/2 - 6*a. Let f(q) be the first derivative of p(q). Factor f(m).\nAnswer: 2*(m - 3)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -86.99999925. Round d to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z - 36. Suppose -2*w = -w - z. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3508.135013 rounded to the nearest 10?\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4727*t**4 - 6156 wrt t.\nAnswer: 18908*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(9\/2)\/o*o**(-6\/11)*(o**(-4\/3))**(-1\/27) assuming o is positive.\nAnswer: o**(5353\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08 take away -0.509?\nAnswer: 1.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -957, -1066, -1235, -1464, -1753?\n\"Answer: -30*w**2 - 19*w - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1, -1 in increasing order.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k**2 + 16*k + 4 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 divided by -1?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2732, 10919, 24564, 43667, 68228?\nAnswer: 98247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s*s**(-5\/13))\/s)\/s))\/s*(s\/(s*s\/s**(-2\/45))*s*s)\/s assuming s is positive.\nAnswer: s**(784\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41144 - -21?\nAnswer: -41123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 93174644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(567))**2 + (sqrt(35) - 1*sqrt(35))\/sqrt(5))*-6.\nAnswer: -13608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*j - 5595 = 123*j - 194 + 1079 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.64 * 11171\nAnswer: 29491.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731 is divided by 1680.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -493, -614, -849, -1228, -1781, -2538, -3529, -4784?\n\"Answer: -5*x**3 - 27*x**2 - 5*x - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - -3) - (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2354 is divided by 849.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -631*l**2 - 8. Let m(i) = -3129*i**2 - 41. What is -2*m(s) + 11*n(s)?\nAnswer: -683*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1105707*j**3 - 31970*j**2 + j - 2 wrt j?\nAnswer: 6634242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*d = d + 5, 22 = 4*j - 5*d. Does 4 divide j - (60\/3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 7c274?\nAnswer: 7c269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + 64\/16. Which is the closest to 1\/2? (a) s (b) 0.1 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14cba45 - -4?\nAnswer: 14cba49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, -795.\nAnswer: -795, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a - 816 - 1038 = -630 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*d + 480 = 524, 28*j = 3*d - 227 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 766 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h + 1592 = 40*h. Let q = h - -493. List the prime factors of q.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (15 + -24 + 12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1243843, 1243872, 1243901, 1243930?\n\"Answer: 29*a + 1243814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 5:46 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 37 - 13 - 5 + 4 - 13 + 6*x + 8.\nAnswer: 6*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 37 - 13 - 3*u - 4.\nAnswer: -3*u - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/7)\/((-1)\/(-2))*28\/(-10320)*12?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 586542 and 4125.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 201542 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 3*r**2 + r - 12. Let a be c(-4). Suppose -4*b = -2*b. Solve w + 5 + b = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 770 divided by 154.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16bb38 (base 12) to base 3.\nAnswer: -202000022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:04 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.5. Let f = -16\/3 + 74\/15. What is the second smallest value in -4, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96022.87 kilometers to meters.\nAnswer: 96022870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.19402 decades to months.\nAnswer: 623.2824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17243062 to the nearest integer?\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, 38 in decreasing order.\nAnswer: 38, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1597478348)\/37097580 - 2) + (-3)\/(-5). Let b = -2\/142683 + h. Let a = b + 44. What is the biggest value in 3, -1\/3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 130.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22112120010 (base 3) to base 10\nAnswer: -168078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.215 in 2\/7, -9445, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*(-12)\/2)\/(57369\/2942)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3\/3 - 2*t**2 - 12*t - 3651. Let a(u) = 2*u**2 - 9*u - 24. Calculate -4*a(r) + 9*f(r).\nAnswer: r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 3*q**2 - 1. Let d be g(-2). Let s be (2\/(-3))\/((-130)\/(-10491)). Let n = s - -56. Which is the smallest value? (a) d (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/168 and 51\/16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 5:27 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(441) + sqrt(441)*1)*3)\/(sqrt(14)\/(sqrt(8) + sqrt(2)) + sqrt(1008)\/sqrt(4))*1.\nAnswer: -216*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*v = -6, -2*v + 10 = -r - 7*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 71*b**2 + 399*b - 36996. Give x(69).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*z + 12 = 0, 3*z = -28*h + 26*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 - -10.89. Let p = 12 - y. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 58 - 17 = 0. Let z be (-2)\/(-12)*b\/(-5). Suppose -4*a = a. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -460 at least -3224\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, k: 9, t: 2}. What is prob of picking 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b**3 + 247*b**2 - 35*b = 0.\nAnswer: -7, 0, 5\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -30, 1058 in decreasing order.\nAnswer: 1058, 8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*42\/(-4). Suppose -4*g - 120 = -h*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 19*t**5 + 2*t**3 + 5*t - 4. Let x(v) = -20*v**5 - 3*v**3 - 6*v + 5. Let l(w) = -3*m(w) - 2*x(w). What is the second derivative of l(g) wrt g?\nAnswer: -340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 + -209. Let p(a) = a**2 + 7*a + 7. Let l be p(-6). Suppose g = l + 5. What is the greatest common divisor of g and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 19*59\/4. Let x = -290 + d. Find the common denominator of x and 4\/2 + (-53)\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2003 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200002210221 + 10?\nAnswer: -200002210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0809982 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1880, -2, -4, 1901 in increasing order.\nAnswer: -1880, -4, -2, 1901","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4 - 114*u**3 - 1006*u**2 - 2190*u - 1300 = 0.\nAnswer: -5, -2, -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*c + l, -5*l + 15 = 2*c + 3*c. What is the units digit of 50\/40 + 862\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let j be 16\/2*1 + 3. What is the remainder when (j\/(-2) - t)*-2 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 - 13342*o**4\/3 + 14816282*o**3\/3 + 13191284*o**2 + 34645475*o\/3 + 9901250\/3 = 0.\nAnswer: -1, -2\/3, 2225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and (-32)\/(-16)*((-45)\/(-2) - 0).\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 + 188. Let g = -45 + c. Solve 2*h - 5*h - g = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194913527*i**6 + 9276*i**2 - 17*i + 116?\nAnswer: 23389623240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 7:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534506759 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(264)\/sqrt(8) + sqrt(33)))\/(sqrt(6)\/(sqrt(2) + sqrt(32))).\nAnswer: 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 96 + (-3 - 18).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*d**3*i - 3*d**3 - d**2*i**3 - 40 wrt i.\nAnswer: -15*d**3 - 3*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.473795 millilitres to litres.\nAnswer: 0.007473795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/5 - (-7)\/((-84)\/(-96)). What is the third smallest value in l, -1\/3, 45, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 4)*(-2*t + 3 - 3)*(19*t + t - t) as s + g*t**2 + w*t and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/9 + 595\/(-203)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4127 is divided by 281?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389345 is divided by 248.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 3*z**2 + 3*z**2 - 4*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 81 - 92 = -3*h, 4*z = -5*h + 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 3*g + 4*g)*(24 + 5 - 8) to the form r + h*g and give h.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 7 = -4*c - 93, -c - z + 22 = -2*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*n + 2*x + 534, -425 = 4*n + 3*x. Let y = 224 + n. What is the highest common divisor of y and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**6\/120 + k**3 - 5*k**2\/2 - 8. Let o(x) be the second derivative of z(x). Find the first derivative of o(g) wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 56, 86201, -0.4?\nAnswer: 86201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -395 - 0?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358909 is divided by 211?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 195 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*t + 100*t = -72106 + 7006 for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 - 132 = -41*l. Suppose -13*p - i = -14*p + 11, p = 4*i + l. Solve -p = 5*k + k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269894478 minus -0.3?\nAnswer: -269894477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/170 and 63\/748?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47687 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46483845167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9011457 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 i = 185845 + -129377. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 0.3, 3, -0.5, 213, 26 in descending order.\nAnswer: 213, 73, 26, 3, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.4, 1, -16006, -98, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/77)\/(25\/110)*75\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -136?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -91.\nAnswer: -24\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205547 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fmmf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 100*l + 2503. Is k(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225258.\nAnswer: 2, 3, 11, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30140 and 770?\nAnswer: 210980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -98*z**2 + 14796233*z + 452946 = 0.\nAnswer: -3\/98, 150982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27*30\/675)\/((-6)\/(-140)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (63\/(-105))\/(2\/(-20)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/(-620))\/(5*16\/(-2400)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(-8)))**(-24)\/((d**(-1)\/d)\/d)**(-22) assuming d is positive.\nAnswer: d**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 39687960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7490160 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47011*g**2 - 3130*g**3 + 4 - 2 - 47012*g**2 to h*g + l + d*g**3 + c*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 2*g + 5, 5*h - 10 = -5*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 18*k**2 + 10*k + 24. Is b(-16) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 18, 68, 180, 378?\n\"Answer: 4*n**3 - 5*n**2 - n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 13580?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.009 - -0.391. What is the second biggest value in -0.2, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 2*g + 15. Let s(z) = -4*z + 31. Let f be s(9). What is the remainder when i(f) is divided by ((-22)\/(-16) - (-3)\/(-8))*38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121032111 (base 4) to base 5.\nAnswer: 130040410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1024.508 - 287374827\nAnswer: -287373802.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -0.2, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*t - 0*t, -11 = -3*c + t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2528*f - 36730. Determine u(15).\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115909\/12 - -9649. What is the common denominator of 61\/14 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-12) - -2)\/(14\/105). Suppose -3*x = y - 12, -9*x + p*x - 16 = 0. Let h(z) = -z**3 + 6*z**2 - 4*z - 1. Let m be h(5). Solve -m*a - 8 = -y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(3200)) + 5)**2.\nAnswer: -2880*sqrt(2) + 51281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 2.0714.\nAnswer: 1.9714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g - 0. Suppose -g*n + p + 14 = 3*p, 3*p + 15 = 3*n. Solve 0 = n*v + v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 3:46 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 23. Calculate the smallest common multiple of 10 and m(11).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let n(f) = -f + 0*f + 3*f. Suppose -4*h = 5*r - 13, 0 - 1 = r - h. Determine r*n(l) - b(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-12))\/(-2*3\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*s + g, -442*g = -3*s - 443*g + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, e: 2, n: 7}. What is prob of sequence ey?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 13*l - 6. Let v be m(-13). Let s = -6 - v. Which is bigger: -2\/15 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3222187\/9639 + 5682\/17. Calculate the common denominator of 103\/126 and s.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 11. What is u(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iooooii. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - -4*(sqrt(1300) + sqrt(1300) + 3))**2 + -3*(sqrt(13) + (1*sqrt(1053))**2).\nAnswer: 2157*sqrt(13) + 102285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-25)\/(-4))\/((-619)\/(-3714)))\/(3\/8).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115029687.\nAnswer: 3, 43, 67, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 57\/(-342) - 31\/(-6). Suppose -3*h = c*w - 6925, 3*h - w + 9222 = 7*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 take away 0.03?\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a**3 + 2*a**2 + 2. Suppose 12 = 4*x - x. Suppose 3*t + 2 = 2*t - 3*z, x*t + 8 = z. Is 21 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6*(-14 - 2). Is (4*-1738)\/r - 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Let w be z(3). Let f(k) = k**2 + 6*k + 6. Let i be f(w). Let y(g) = g - 5. Let s be y(i). Solve s = 5*r + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000016493 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 44. Suppose -4*m - 4 = 2*y, -2*y + 0*y + 3*m = -3. Is k(y) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45450944 is divided by 969.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 97. What is the least common multiple of 1156 and a(81)?\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 7114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7306 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/13)*j)**(-11\/4)\/(j*j**(-1\/24)*j*j*j**(-2\/15)\/j) assuming j is positive.\nAnswer: j**(-2489\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43311 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/42 - 1\/(-1))\/((-12)\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -23, 4, -2\/11, -12817, 0.18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 11*h**2 + 13. Let o be k(11). Let y = -3 + o. What is the remainder when 12 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**6\/z)\/z)\/(z*z\/((z\/z**(-1\/6))\/z*z)))\/(z**(-2\/11)\/(z*z**(-4)\/z)))**41 assuming z is positive.\nAnswer: z**(-1763\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 0 - 5*d**2 + 6*d**2 + 0. Let f(m) be the second derivative of 0 + 4\/3*m**3 - 2*m + 0*m**2. What is f(t(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, -2\/3, 1\/4, -490\/633?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by (-12)\/(-20) + 0 + (-6606)\/(-90).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1727 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 942, -29 in increasing order.\nAnswer: -29, 2, 6, 942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*q**4 + 4*f*q**2 - 2*f*q + 91063*f + 88423*q**4 + 9*q**3 + q wrt q?\nAnswer: -24*f*q + 2122152*q + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2. Let q(z) be the second derivative of z**4\/2 + z**2\/2 - 16*z. Give 3*b(y) + 2*q(y).\nAnswer: -3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 1\/45*w**5 + 0*w**2 + 1\/135*w**6 + 26*w + 4\/27*w**3 + 1 - 7\/54*w**4. Find o such that j(o) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (-88)\/(-5 - (-95)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**2 + 992*o + 26*o**2 - 992*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 + -64. Round k to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from eqrlfeefee?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3902.\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -732410 divided by -73241.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248357, -993037, -2234171, -3971759, -6205801, -8936297?\nAnswer: -12163247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54727317 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1457 - -1456. Sort 0.05, x, 0.2, -3.\nAnswer: -3, x, 0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -0.4 (b) 2 (c) -1\/4 (d) -56\/15 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3872378*t**2. Let m(o) = -o**2. Determine m(d(z)).\nAnswer: -14995311374884*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 1, z: 1, t: 1, f: 1}. Give prob of sequence fsat.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7350\/1155)\/(2\/11). What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32919179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3364012 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 208964775*z\/2 - 14555425730266875\/4.\nAnswer: -3*(z + 69654925)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 23*d**2 + 18*d - 75. Let l be h(-22). Solve 7*n - 4*n + l = 4*w, 4 = 4*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 4 - 4)*(-2*f**2 + 3*f**2 - 3*f**2) + 2*f**2 + 3*f**2 - 3*f**2)*(-78*f + 25 - 24 + 21*f) to the form j + v*f**3 + r*f + o*f**2 and give v.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:41 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(-4)\/(-6) + (-736)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -940*z - 2398*z = 1210*z + 77316 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*w + 200 = 476*w. Let v(d) = 10*d - 193. Calculate v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12264)\/(-18))\/14*225\/135*27\/(-30)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let a(n) = -n + 14*n - 15*n. Suppose -2*l - 4*r - 7 - 1 = 0, 2*l = r - 3. Let z = l + 1. Give z*a(j) - b(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*s + 3*c, 2*s + c - 166 = -2*s. Let b(o) = o**2 - 38*o + 474. What is the remainder when b(22) is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 545190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 10*m**2 - 28*m + 6. Give h(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - 66. Suppose 5*q = -2*p + 6, -v*p - 2*p - 4*q + 12 = 0. Put -5, p, -1, -27 in descending order.\nAnswer: p, -1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4*w + 6*w**2 + w**3 - 7*w - 4*w**2 - 4 to x*w**2 + a*w + i*w**3 + y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, 165\/8, -0.04, 0.5, -4, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22354266 - 0?\nAnswer: -22354266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*o**3 - 21*o**2 + o + 9723.\nAnswer: -21*o**2 - 42*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 465385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*t + 2299 = 601 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*g - 26*g - 59*g + (0*g + 0*g + 2*g)*(-5 + 5 - 2) - g + 4*g - 4*g to the form x*g + k and give x.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5+7162.053293\nAnswer: 7157.053293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9624 is divided by 275?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 843739.1 meters?\nAnswer: 843739100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let a(z) = 761*z**2 - 2*z**2 + 45*z**2. Determine b(a(v)).\nAnswer: -804*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.071, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1495, 13958, 47755, 113542, 221975, 383710?\nAnswer: 609403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -25 (b) -1 (c) -330 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t**2 - 2*t + 2. Suppose 2*u = -4*a - 14, -18 = 2*u - 9*a + 14*a. Calculate n(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 40*g**2 + 406*g + 267. Give c(-23).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*6)\/sqrt(5))\/(sqrt(18)*6).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103910133533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(28) + 0)**2.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) - 22\/6. Let q be 30\/18 + (-1)\/c. Solve 10 = -3*t - q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.5750495 rounded to two dps?\nAnswer: 130.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) 0.287 (c) -3\/8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.019 + -21.4346. What is r rounded to one decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 498 + 512. Sort -90, -3, r.\nAnswer: -90, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 421, 596?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9257486261?\nAnswer: 19, 3461, 140779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389858 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*y = 25, 2*u + 5*y + 15 = -16. Let v be (-61468)\/14 + u\/(-14). Round v to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 314313e + -3?\nAnswer: 314313b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1822598760 to the nearest 100000.\nAnswer: -1822600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.5. Let j = -33 - -32.9. What is the smallest value in j, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3 + 6*d**2 - d**2 + 4*d**2 + 2*d**2. Suppose -5*g = 3*u, -18 + 5 = 4*g + 5*u. Let b(x) = -4*x**2 - 1. Give g*n(p) + 8*b(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0*-255\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1 (b) -3 (c) -23 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*b**3 - 5*b**2*n - 23*n - 9 wrt b?\nAnswer: 186*b**2 - 10*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 10. Let f be 20\/(-50) + (-822)\/v. Round f to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, y: 1, t: 3, z: 1, a: 1}. Give prob of picking 1 t and 3 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -1538, -3468, -6178, -9668, -13938, -18988?\nAnswer: -24818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 9171 - 18399 + 9150 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -54. What is the remainder when 63 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 406, 405, 404, 403?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -697529\/54 - -12918. Calculate the common denominator of 61\/20 and h.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475606, 951211, 1426816, 1902421?\nAnswer: 2378026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 11*x + 4*x - 7*x)*(5*x**2 - 6*x + 4*x**2 - 13*x**2).\nAnswer: -32*x**3 - 36*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 61*l - 1137. Let m be z(15). Let t = -1.2 - -0.2. Sort t, -11, m.\nAnswer: -11, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080575 rounded to three decimal places?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 = -130*y + 425 + 322 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/7, -622, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Suppose -5*u = -0*u - 15. Is u + 15\/(2 + -1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*d**5 + 0*d + 128\/7*d**4 - 125\/7*d**3 + 0 - 254\/7*d**2 = 0. Calculate d.\nAnswer: -1, 0, 2, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k - k)*(591*k - 1 + 13 - 5 - 7).\nAnswer: -1773*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 2121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-341 - -272 - (2 - -21))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**2*z**3 - 2439*u**2*z**2 - u**2 + 4*u*z**3 + 7275*z**3 + 36 wrt z?\nAnswer: 18*u**2 + 24*u + 43650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + x**2 + 15*x + 77. Let g be t(-4). Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1148*g**6\/15 + 779*g**2 - g - 1163. Find the first derivative of w(s) wrt s.\nAnswer: -9184*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-60)\/(-32)*92\/(-621))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 97, 286, 577, 976, 1489, 2122, 2881?\n\"Answer: k**3 + 42*k**2 - 40*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129694 by -129694.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 198.\nAnswer: -13.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a81ac3 (base 14) in base 12?\nAnswer: -1aa50b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13690 and 8589106.\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -35, -31, -27, -23?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-5)\/4) + 0. Suppose -2*n - 16 = -3*b, -5*b + n + p*n = -20. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 2*d - 4*d + 3 + d**2. Suppose 33 = -5*z + 143. Suppose -106*n + z = -95*n. What is f(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.406 - -0.214. Let c = -0.38 - x. Which is greater: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.26 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Let r be (-2)\/4 - (-6)\/d. Let m = r + 12. Calculate the greatest common factor of m and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87547845 take away -1800254?\nAnswer: 89348099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*h**5 - 50*h**3 + 160097*h**2 + 907087879*h wrt h.\nAnswer: 300*h**3 - 300*h + 320194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 6, 4*v + z = 8 - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8945, -9042, -9203, -9428, -9717?\nAnswer: -10070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f - 1. Let j = -3 + 6. Suppose -j*g + 7*g = -4. Give k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -37*d**2 + 7*d + 7. Let j(z) = -25*z**2 + 5*z + 5. Calculate 7*j(c) - 5*o(c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38156 - 38155.9. Let v = -1.21 + 1.1. Let z = 4.89 - v. Which is the closest to 0? (a) z (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1363284 and 227214.\nAnswer: 1363284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3458323?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70*96\/(-5824))\/((-9)\/9).\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*z + 1 = -162, -2*b = 5*z - 173. Suppose -4*m = 3*a - 44, 2*m - a - b = -3*m. Sort 2, m, 3 in descending order.\nAnswer: m, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - -22750.00449.\nAnswer: 22749.95449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 + -3. Let q be (-3)\/(-9)*0 + (33\/(-55))\/((-2)\/(-10)). What is the fourth smallest value in q, 2, -5, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 2 (c) 2\/7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1372241, -5488978, -12350201, -21955904, -34306081, -49400726, -67239833?\nAnswer: -87823396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d + d**2 + 3*d - 22*d**2 - 14*d**3 - 15*d**4 + 3*d**5 + 41*d**3.\nAnswer: 3*d*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000000 + 11000001?\nAnswer: -11100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u**3 - 5*u + 5. Suppose 495 = 38*z - 137*z. Let g(b) = 6*b**3 + 2*b - 3. What is z*g(q) - 3*y(q)?\nAnswer: 3*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/11)\/(12\/66). Solve n + j - l = 2*n, 3*j - 4 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2853 + 133.5853. Let o = 126 - p. What is o rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 9:16 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284925.4 decades to centuries.\nAnswer: 28492.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:19 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171 + -155. Suppose 21729 = p*x - 13*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 4485762?\nAnswer: -4485758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208473 and 48?\nAnswer: 3335568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196817*d - 544*d**3 - 98420*d - 98397*d + 543*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12302112 (base 4) to base 15\nAnswer: 8383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 13, n: 2, b: 5}. What is prob of picking 2 p?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5a73645 (base 11) to base 7\nAnswer: -155614365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 63 = b - 5*g - 174, -2*b = 6*g - 30 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + -3 - (-25 + 20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111110000010110011000 (base 2) in base 4?\nAnswer: -113300112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Suppose p = 0, -p = -3*i - 0*i - 30. What is the remainder when m(i) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 + t**2\/2 + 17*t + 13. Let b be w(0). Suppose b*d - 19*d = -4. Solve 8 = 5*y - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 - 2*a + 234. Let z be p(0). Let i = 719 - z. Let s = i + -140. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/262 and -5\/6.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/10)\/(9922\/1804)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*w**5 + 30*w**5 + 87*w + 72*w + 345*w**5 wrt w?\nAnswer: 5240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/9)*w*w**6*(w*(w**(3\/5)*w)\/w)**39 assuming w is positive.\nAnswer: w**(3143\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33600000 divided by -280000.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 - 19 = 0. Suppose -5*c + q*b = 4*b - 107, 5*b = -5*c + 80. Let r = c + 12. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/19 and 7\/74.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x + 1. Let h(v) = -17*v**2 - 8. Let s(w) = 16*w**2 - 2*w + 7. Let g(o) = 4*h(o) + 6*s(o). Calculate g(n) - 10*t(n).\nAnswer: 18*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -13. Let x = -4 - y. Which is the second biggest value? (a) x (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 + 0 - 1 - 14 - 6*d**2.\nAnswer: -6*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - -0.29. Let k = 0.7 - 3.7. Which is the second biggest value? (a) v (b) -2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1369, 2757, 4153, 5563, 6993, 8449, 9937?\nAnswer: 11463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyewywywywyy.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*r + 175*r - 681*r + 172*r + 165*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 + 0.22. Sort -0.3, c, -3, 4 in descending order.\nAnswer: 4, c, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*t - 126 = -4*s, 4*s + 56 = 2*t. Let d = t - 26. Let u be 12\/8*8\/126. Which is bigger: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*j + 331*j - 168 = 24*o, -2*j = -2*o - 14 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -6 (c) -8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 154824 = -21*o. Suppose 5700 = 29*m - o. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 466, 2, -2\/5, -136?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329207, -330387, -331567, -332747?\nAnswer: -333927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 91, 132, 171, 208, 243, 276?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 69828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 3\/2 (b) -3\/2 (c) 83 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/87)\/(2\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((6 - -15) + -21)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2. Let z(u) = -u**2 + 2*u - 18. Let k be z(4). Let i = -24 - k. Let g(n) = 15*n - i*n - 12*n. Determine v(g(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*d - 549*d + 16 + 26 - 178*d.\nAnswer: -3*d + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -309 + 340. Is 15 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 14)*(-3*g - g + 5*g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/6 + h**3\/2 - 24*h**2 - 33. Let l(z) be the second derivative of i(z). What is l(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 94 = g, 78 - 1 = 4*k - g. What is the units digit of (40\/6)\/(k\/114)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -24404?\nAnswer: 243a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4884 divided by -27\nAnswer: -1628\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 1, c: 1}. What is prob of picking 2 r and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5228e8c - 0?\nAnswer: -5228e8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2430 and -37\/27.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2753 + 303. Solve n = -4*v + 474 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 8)*(0*o - 3*o**3 + 0*o).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582 - 582 + 26033*u.\nAnswer: 26033*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -959567 by 52.\nAnswer: -959567\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.33283 seconds to milliseconds.\nAnswer: 90332.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 104824, 419056, 942774, 1675978, 2618668?\n\"Answer: 104743*m**2 + 3*m + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6396 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - m)*(5 - 10 - 6)*(3*m - m - m)*(7 - 1 - 3).\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 16148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*d - 14 = 0, 0 = 3*w - d - 11 + 4. Let h = 610 + -613. Put w, h, 1 in descending order.\nAnswer: w, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 183869*i + 1103169. What is o(-6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 1 - (-14 + 26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 26*s**2 - 44*s + 3. Determine j(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:02 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:25 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6781 divided by -4.\nAnswer: -6781\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 3 + 39\/(-6). Let s = 1.4 + 0.6. What is the nearest to 1 in 0.5, y, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 37 = -l + m, 2*l = -2*m + 60. Find the common denominator of -43\/4 and 0\/(-1) - 174\/l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -2 + -5 + (-5 - -6). Let k(t) = t**3 + 6*t**2 + 4*t + 2. Let q be k(d). Suppose 23*h = q*h + 680. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 4*x + 319 = -809 - 708 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 21\/2. Let g = 47 - 139\/3. Let n = 2 + -1.7. What is the nearest to g in d, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbp when three letters picked without replacement from {g: 3, p: 2, i: 2, b: 5, w: 1, j: 6}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178386, -1427151, -4816658, -11417277, -22299378?\nAnswer: -38533331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 42. Let w be 4 - -1*(-1 - (y - 5)). Solve -w*z = -5*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:26 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2736) - (sqrt(133)*1)\/sqrt(7))**2 + -1.\nAnswer: 11874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 3*t - 5. Suppose -7*w + 5*w = 0. Suppose -3*g - 24 = 3*m, w = -g - 4*g - 20. Let h(s) = 3*s**2 - 8*s + 14. Determine m*h(x) - 11*z(x).\nAnswer: -x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(-5 + 1). Let u = -4.01 - -0.01. What is the smallest value in 4, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 11*y**5\/60 + 19*y**4\/12 - 17*y**3\/6 - 13*y**2 + 177. Let h(g) = -5*g**2 - 19*g + 8. Determine 13*h(b) + 6*l(b).\nAnswer: b**2 - 19*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 1311*u**2 - 101826*u - 732240.\nAnswer: -3*(u + 8)*(u + 90)*(u + 339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -118*u**2 - 34221*u - 119. Give n(-290).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**3\/2 - 5*c**2\/2 + 5*c. Let v be w(7). Let g = 24 - v. Calculate the remainder when 23 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/5)\/5 + 2. Suppose -y = 2*z + 1240, -4*y - s*z - 3679 = 1256. List the prime factors of (4\/(-6))\/(10\/y).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -499\/6. Let j = 83632.1 - 83632. What is the nearest to j in -1, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9797 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -60, -1, 2, -2373, -3 in ascending order.\nAnswer: -2373, -60, -4, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*3\/(-15))\/(133\/(-95)). Let o(j) = j**3 + 4*j**2 + 6*j - 5. Let v be o(-4). Sort v, 1\/2, b in increasing order.\nAnswer: v, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10424 + -10?\nAnswer: -10434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46\/259 - 4\/37. Let v = 0.283 + -0.263. What is the third biggest value in 0, -1\/3, w, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 189 + 10?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 27\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.237 or 11313?\nAnswer: 0.237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332345 + 332345 + 3*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -4518\/1073227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15134617422+0.08\nAnswer: 15134617422.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*1 + sqrt(156))*6 - sqrt(156))\/(-6*sqrt(12)*1))**2.\nAnswer: 1573\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-300))\/(2019\/12114)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 20. Suppose 4*c = -2*k + 204, 9*k - c - 444 = 5*k. Suppose 7*b - w*b = k. 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: What is s in s**3\/5 + 58*s**2\/5 + 156*s - 360 = 0?\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3081, 882, -1317, -3516, -5715, -7914?\n\"Answer: -2199*i + 5280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 7*i**2 + i + 1. Let k be w(7). Let t(p) = p**3 + 4*p**2 + 3*p + 3. Let q be t(-3). Calculate the common denominator of 37 and -2 + q - 37\/k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffnnf. What is prob of sequence fnff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzzvzwwvwwlv. What is prob of picking 1 z, 1 v, and 2 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*k + 46*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 282.8207 days?\nAnswer: 24435708480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 31161964.\nAnswer: 934858.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + h**3 - 3*h**3)*(0*h + h + h) + h**4 + 135*h + 29 - 135*h + (0*h**2 + 0*h**2 + 2*h**2)*(3*h + 2*h**2 - 3*h).\nAnswer: h**4 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 40. Let v(g) = -378*g + 6. Determine y(v(k)).\nAnswer: 142884*k**2 - 4536*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-11)\/66*-1*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:39 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, p: 1, c: 1, o: 3, j: 2, f: 1}. What is prob of picking 1 c and 1 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.56 - -26.44. Let j = k + -25. Let o = -3.2 - -3. Is o at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606234*z**5\/5 - 125178144*z**4 - 162167606538*z**3\/5 - 320774895852*z**2\/5 - 31509500760*z + 337014000 = 0.\nAnswer: -11850\/23, -1, 2\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -21*o**2 + 5*o + 7. Let m(l) = -11*l**2 + 3*l + 4. Let f(n) = -6*h(n) + 11*m(n). Let s be f(-4). Calculate the highest common divisor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 5986680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200 - 240?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -22.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 237*y**2 + 192*y - 715. What is u(60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w + 147586. Let f be z(0). Suppose -3*x - 3*o = -221400, o + 4*o + f = 2*x. Let u be (-2)\/(-6) - x\/(-6). Round u to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -490 + 489. Let k be (15\/3)\/(-18 + 12). Which is the nearest to k? (a) -0.2 (b) y (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098 is divided by 638.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1592, -1017, -52, 1303?\n\"Answer: 195*s**2 - 10*s - 1777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 3447 + 3988 - 7435.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - (-2 - 4))*6\/(-12). Suppose -y*d = -18*d + 8816. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 774 and 2949972?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90) - (sqrt(90) + 6*(sqrt(90) + 3*sqrt(90) - sqrt(90))))\/(-3*sqrt(4)\/sqrt(2) + (sqrt(2) - (sqrt(300)\/sqrt(6) + sqrt(2))) + sqrt(2))*-2.\nAnswer: -108*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*x**2 + 66*x**2 - 175*x**2 + 72*x**2.\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 5*p**2 + 2*p - 9. Let q be o(-3). Let h(r) = 4*r**2 + 2*r - 17*r + 7*r - q*r**2 - 8. Determine h(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 - 7 = 0. Suppose -5*m - f*y = -14, 0*m + 5*y = -3*m + 11. Solve -5*l - 4*d - 5 = 0, -3 + m = l + 2*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3045424 and 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 107 = -4*q, 5*q + 3*t - 124 = 6*t. Suppose 5*c + 13 = q. Suppose i + c*i = 2049. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45274.\nAnswer: 2, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g. Let n be v(-1). Put n, 1, -1 in decreasing order.\nAnswer: n, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*t = 10*l + 132, l - 3*t + 44 = 0. Let s be (l\/297*-9)\/(92\/6). Which is the closest to 0? (a) -1\/2 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 31 = 6*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -26*d. Let g be w(-1). What is the greatest common divisor of 104 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000902056993 to six decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = l + 1 - 6, -4*l - 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.70044 litres in millilitres?\nAnswer: 3700.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) - ((-1 + sqrt(833) - sqrt(833))**2 + -4).\nAnswer: 3 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**1)*k)\/k)\/(k\/k**2)*((k*k*k\/(k\/k**(-2))*k)\/k*k)\/k*k**(-1\/10) assuming k is positive.\nAnswer: k**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-57))\/(2\/(-3))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(288\/(-20))\/2. Let h = -5 + r. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531292881?\nAnswer: 3, 7, 25299661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**2\/2 + 21*c + 2. Suppose 4*l + 19*l - 69 = 0. Let w(s) = 2*s**2 + 2*s - 2. Give l*j(y) - w(y).\nAnswer: -2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 529942046 to the power of 1\/3, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3614b (base 14) to base 11\nAnswer: -90178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, l: 10}. Give prob of sequence alal.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558343 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31.8 + -595643.6\nAnswer: -595611.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/99*33)\/((-1)\/(2\/8)).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 459487678 and 0.01029?\nAnswer: 459487677.98971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 40*s + 3. Let u = -94 - -114. Let a be y(u). Solve -12 = -m - a*i, 0 = 2*m - 4*m - 4*i + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144264 is divided by 36060.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let b(p) be the third derivative of -p**4\/6 - 11*p**2 - 1. Calculate b(f(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:33 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - -1*sqrt(847) - (5 + sqrt(7) + 2).\nAnswer: -7 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b - 19. Let k(f) = -19. Calculate -4*c(g) + 3*k(g).\nAnswer: -24*g + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006220 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 15*n**2 - 19*n - 39. Let r = 93 + -109. Let j be t(r). What is the highest common divisor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1708425424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3807, 7608, 11409, 15210?\n\"Answer: 3801*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -t + 3*j - 0, 0 = -2*t - 5*j + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*g + 34, -5*f - 11 = -4*f + g. Let t(s) = -s**3 - 12*s**2 - s + 13. What is the units digit of t(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.92 + -0.08. Let d = v + 2. Let t be (-10)\/(-3)*1\/(-2). Which is the third smallest value? (a) 5 (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*h + 36*h + 1 - 8 to the form y + t*h and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddjddd. Give prob of picking 3 d.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - -2) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - (4*-1)\/4) + -556. Let l = 885 + c. Suppose -3*u + 5*u - l = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 3. Let q be h(-9). Let c = -8 - q. Suppose 2*x - c*x + 126 = 4*u, -x - 5*u + 75 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 10920?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*c - 20*c - 8540 + 2636 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*c - 9*c + 1310*c - 246512 = -96*c for c.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4\/7 + 156*g**3\/7 + 128*g**2\/7 - 912*g\/7.\nAnswer: 4*g*(g - 2)*(g + 3)*(g + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.0285 rounded to the nearest integer?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 15. Let s be 4\/(-3)*-3 - t. Put s, 0.09, 0.5 in increasing order.\nAnswer: 0.09, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3004 - 0.1494. What is x rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w**2 - 10*w + 965. Let k(q) = -22*q**2 - 16*q + 1929. Give 5*c(j) - 3*k(j).\nAnswer: j**2 - 2*j - 962","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:17 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -4810?\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 160206 * -0.0665\nAnswer: -10653.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 8*q + 8*q + (3 - 3 + q)*(-2*q + 3 - 3) - 2*q**2 + 2*q**2 + 3*q**2 + (-6*q - 5 + 5)*(4 - 4 - q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 8:29 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2313 (base 5) to base 11.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 235351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 505 - 35. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/30 - 5*b**4\/2 + 176*b**3\/3 + 20*b**2 + 5*b - 1. Factor j(g).\nAnswer: 2*(g - 22)*(g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - -1) + (-5 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 7480812?\nAnswer: -1\/2493604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + 5 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34793 is divided by 254.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -1326666.\nAnswer: -1326665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -60. Suppose 3*n - t = -r, n = 2*t - 5*t - 4. Let h = -1 - n. Solve 7*a - 2*a = -2*o - h, -4*o - a = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k - 2136 = -72*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 108*i**2. Let p(o) = 36*o**2. Determine -3*d(a) + 8*p(a).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*o + 14 + 4, -2*o + g = -12. Let l(i) = 2*i**2 - 6 + 0 + o. Let j(r) be the first derivative of 7*r**2\/2 - 54. Determine j(l(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 641673 divided by -859?\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038787866 rounded to 4 decimal places?\nAnswer: 0.0388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -29*x**5\/90 + x**4\/6 + 820*x**2. Find o such that b(o) = 0.\nAnswer: 0, 6\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1521, 5610, 16681, 38226, 73737, 126706, 200625, 298986?\nAnswer: 425281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 42*l**2. Let g be j(1). Suppose 0*z - g = -3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 237*a**2. Let k(y) = -14*y**2. Determine h(k(x)).\nAnswer: 46452*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 8\/9*l**3 + 1\/15*l**5 + 0*l + 0 - 1\/180*l**6 - 1\/3*l**4 - l**2. Suppose d(v) = 0. What is v?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33\/433 - -202\/3031. Which is the nearest to -8? (a) 1 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24036024?\nAnswer: 2, 3, 1001501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 1)*(4*j - 2*j + 0*j + (1 - 3 + 0)*(j + 2*j - j) + (0 + 0 - 2)*(-1108*j + 2304*j - 1118*j)) in the form y*j + i and give y.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*l + 132*l**2 - 8*l**3 - 131*l**2 + 12*l**3 + (-3*l**2 + l**2 + 0*l**2)*(-4*l + 2*l - 4*l).\nAnswer: 16*l**3 + l**2 + 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 - 22800*u - 25992000 = 0. What is u?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**2 - 34*v**3 + 37*v**3 + 13*v**3 wrt v?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152843455*-3.\nAnswer: -458530365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -804 + 1314. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59914?\nAnswer: 2, 29, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -270.74248 and 0.077519.\nAnswer: -270.664961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*sqrt(425)*3*2*5 + 4)**2.\nAnswer: -4500*sqrt(17) + 3442525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*r + 374 = 0, a + 8*r - 187 = 10*r. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egfeggg. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -7.55845?\nAnswer: -7.95845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-4)*(-8)\/20. What is the closest to -2\/7 in -0.4, 0.2, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 5. Let q be l(7). Let o = 3 + q. Let y be o\/(-4) - 5\/(-20). Which is smaller: y or 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.87 + 0.13. Let n = -33 + 22. Let d = n + 11.1. What is the closest to d in t, 1.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 5) in base 2?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 49.32. Which is the second smallest value? (a) 1\/2 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = -24*i - 51 + 20 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.02237, -21, -4?\nAnswer: -0.02237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + 0.8. Let q = 1433001 - 1433003.999905. Let b = q + o. What is b rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 124180?\nAnswer: 496720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19269 and 3.\nAnswer: 57807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218567.6 meters to kilometers.\nAnswer: 218.5676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 1889272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = 4*s. Suppose 4 = 3*y - 2*y. Let t = s + y. Solve u - 2*u = 5*j, t = 4*j - u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 5*j**2 - 8*j - 5. Let s be d(7). Suppose 2*u - 48 = -l + s, 5 = l. What is the smallest common multiple of 1\/2 + u\/16 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 1. Suppose 0 = 3*v - t - 2, 0 = -4*v - 5*t + 2 + 7. Let i be a(v). Suppose -359 = -i*d + 681. What is d rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/192974 and 43\/16.\nAnswer: 1543792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 - 49*l + 128. Let x be c(3). Solve -16 = 12*y + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (19 - (21 + -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4301*k + 14 = -4302*k, -2*k - 7 = 2*y + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c = -889 - 295. Calculate the greatest common factor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 l, and 1 g when four letters picked without replacement from {l: 12, b: 1, g: 7}?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-56) - (-15)\/(-120)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2259 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 35 - 299. Calculate the highest common factor of 1452 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 84, 51, 28, 27?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38113249*n*z**3 + 8*z**3 - 118*z**2 - 2145*z + 2 wrt n.\nAnswer: 38113249*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298193327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2572*f - 19*f - 427*f + 890*f + 6765*f to b*f + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**3 + 16*n**3 - 5*n**3 - 5*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Let l = 4 - -2. Let g(v) = v - 1. Let h be g(l). What is the closest to -0.2 in r, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 148.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -445 + 442. Sort 5, q, 0, -2 in decreasing order.\nAnswer: 5, 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 472\/20)\/(4\/(-10)). Let c = -47 + h. Solve 0*f - f + 4*u = -c, -2*u - 8 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-15) - (-3704)\/15. Let o = -268 + d. Find the common denominator of o and -56\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577538 a multiple of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53967 is divided by 13480.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.822571 weeks?\nAnswer: 28451.51568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1591*w - 822*w - 930 = 676*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.94 - 0.06. Let o = 0 + 0.2. Let j = o + -0.2. Which is the smallest value? (a) j (b) 1\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 9*o. Let q be (2\/(-4) + 0)\/(3\/(-36)). Let y(x) = q*x - 4*x + 0*x + 0*x. What is t(y(g))?\nAnswer: -4*g**2 + 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 208191 and 0.5.\nAnswer: 208191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 191 = -t, 0*t - 2*n = -2*t + 358. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 11*n + 12. Let q be j(-8). Let h be -13*(5 - q\/(-2)). Solve -16 = -3*d + s, 0 = -3*d - 0*s - 2*s + h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*y = -40, 3*y - 5*y - 22 = -3*l. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g - 5. Suppose -2*m - m = 15, 0 = l - 3*m - 17. Let b be 2\/2*4\/l. Solve -g*h - 9 = -3*o, 5*h - 3*h - 6 = -b*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 73 = 5*n + 5*h, -37 = -2*n - 3*h. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 + 10*p + 8. Let l be k(8). Let z be (-3)\/(2*9\/l). Which is the second biggest value? (a) -0.4 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 7*x + 4. Suppose 0 = -0*n + 2*n - 8. Suppose -12 = 2*d + n*j, -2*j = 5*d - 5*j + 17. Is z(d) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 41. Let f be q(-19). Suppose -5*s - 57 = -2*d, f*d - 36 = 2*d + 4*s. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27218 and 36518.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*h**5 - 175*h**2.\nAnswer: -16440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q**2 + 110*q + 19. Determine h(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15055114861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9832 and 38232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2807, -2808, -2811, -2816?\n\"Answer: -q**2 + 2*q - 2808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144551.\nAnswer: 11, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {n: 1, p: 7, i: 8, g: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -321?\nAnswer: -5\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7249 - -58?\nAnswer: 72a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*c - 18, -5*j - 7*c = -3*c - 26. Suppose -4 = -2*i - 4*s, 5*i - j*s - 19 = -3*s. Solve 3*p = -3*l, -4*p - i = 4*l + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -135, 4\/5, -0.2 in increasing order.\nAnswer: -135, -0.3, -0.2, -0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11122211011122 (base 3) to base 2.\nAnswer: 1001011100100111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 2, -15, -1 in descending order.\nAnswer: 2, -1, -5, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000259759 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 1.\nAnswer: -8, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**7\/700 - p**6\/180 + p**5\/150 - p**3 - 1. Let v(c) be the third derivative of s(c). Factor v(k).\nAnswer: 2*k*(k - 1)*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58429*33.\nAnswer: -1928157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 1. Let l(q) = -q**2 + 7*q - 7. Let c be l(6). Calculate z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -7 + 1. Let v = -405 - -400. What is the remainder when (v - m)*3\/(-1) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*r = 14, 3*r + 6 + 9 = -2*z. Is 11 a factor of ((-60)\/50)\/(z\/220)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(243 - 261 + 114)*(-1 - 2*o + 1)*(-5*o**3 + 4*o**3 - o**3 + (5*o - 3*o - 4*o)*(3*o**2 + 3*o**2 - 3*o**2)).\nAnswer: 3072*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81105080 divided by 20276270.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 16. Let x = -6.3 - m. Let u = -90 - -88. What is the second smallest value in x, u, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/2 of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/1*(-6)\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 28, -415, 46, -2 in increasing order.\nAnswer: -415, -21, -2, 28, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + v - 3)*(1 - 2 - 1) + (0*v + 2*v - v)*(0 + 4 - 6))*(4*v + 2*v - 33*v).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 15*k + 16. Suppose -14 = 5*t + 31. List the prime factors of y(t).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 4, o: 2}. Give prob of sequence yy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-28)*9562\/2049. Which is the closest to m? (a) 0.5 (b) -5 (c) -1 (d) 523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 837 and 871069?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18186 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 203\/5. Let p = 8.2 + -9. Let q = p + -4.2. Which is the nearest to j? (a) 2\/11 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 6158*m - 4*m**2 + 6157*m + 5*m**2 + (-m + m - 2*m)*(m + 3*m - 6*m) - 7*m + 5*m**2 + 7*m to z + y*m + v*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 47 - 67 + 217 + 10*i.\nAnswer: 10*i + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z**2 + 13*z**2 + 12*z**2)*(23*z + 0 + 0)*(-1 + 4 - 1).\nAnswer: 552*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1894268 by -10.\nAnswer: -947134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - 19*h - 1. Let q be r(5). Put 10, -4, q in descending order.\nAnswer: 10, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(343)*-1)**2*-1 - -1*(5 + sqrt(343) + (sqrt(343) + -2)**2 + 0).\nAnswer: -1363 - 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1389056675 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.6 - -80. Let g = y - 3.9. Let h = -19 + g. Which is the nearest to 0.1? (a) h (b) -4\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5117, 5, -4, 41, -3 in decreasing order.\nAnswer: 41, 5, -3, -4, -5117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570*14\/2016 + 2\/(32\/(-6)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/(-3*5*56\/(-120)))\/(2\/14)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7))**40 assuming j is positive.\nAnswer: j**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 718 - 672. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7540 and 201240.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 3:50 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23003 - -22944.345. Let t = w + 59. What is t rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202655 is divided by 9211?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/264*(7\/42)\/(3\/(-54)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 10*k**2 + 17*k - 11. Let n be g(-2). Suppose -5*x = -4 - 6. What is j in 0 + 2\/23*j**n - 6\/23*j**x + 4\/23*j = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 647.9 * -0.05\nAnswer: -32.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95963498946 plus 0.1?\nAnswer: 1.05963498946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 8 = -4*u, 0 = 15*u - 10*u - r + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2 - 3*a - 2 + 0. Suppose -w + 42 = -3*w. Let r = -16 - w. Let f(y) = -3*y - 5. Give r*f(x) - 6*q(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849, 1757, 4361, 6963?\nAnswer: 9563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12246.\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 5*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/107 + -220\/321. Which is the smallest value? (a) 2\/3 (b) t (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 3 - -10)*3\/12. Solve -2*q = 0, 0*d + 6 = 2*d + c*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.465876 litres in millilitres?\nAnswer: 3465.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -256\/24465 - 2\/233. What is the closest to -0.2 in -4, c, 0.2, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 27*p - 13. Let x = 44 - 40. What is the units digit of t(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 - (1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/5 (b) -22 (c) 0.02 (d) -5.4 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + p + 12 = -4*k, 16 = 3*k - 7*p. Let w(f) = -29*f**2 + 2*f. Let s(a) = -14*a**2 + a. What is k*w(r) + 9*s(r)?\nAnswer: -10*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328*y**2 + 90359*y + 47*y**2 - 90359*y to the form g + a*y + j*y**2 and give j.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let t(b) = b**2 - 5*b + 1. Let v be t(4). Let n be o(v). Suppose -4*c + 171 = n*k - 102, -2*c = -k + 91. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**4\/10 - 8*a**3\/5 - 2*a**2\/5.\nAnswer: a**2*(a - 2)*(9*a + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 7*k**2 + 9*k + 8. Let i be m(-6). List the prime factors of (-78)\/(-15)*-1*i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i - 355 = 0. Suppose -4*a + 29 = -i. Solve -5*g + 0 = -a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + z**3 + z + 0*z**3 + 303 - 13*z**2 - 304 to the form a*z**3 + f*z + j*z**2 + k + d*z**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7044 - 5256 + 17851)*(1 - 1 + 2)*(-3*z + z + 0*z)*(-z + 1 - 1)*(z**2 + 3*z**2 - 2*z**2).\nAnswer: 157112*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 3*t**2 - 363*t + 196. What are the prime factors of z(32)?\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 17*u - 355. Let z be w(21). Solve -z*x - 8 = 4*f + 2, 5*f = -5*x - 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 155619.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 144366, 144368, 144370, 144372?\n\"Answer: 2*l + 144364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from fifaiaafafiiaai.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-72)*-4*3*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -192076.62 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 19 = k, 55*k - 52*k - 5*x - 6 = 0. Let r(c) = c**2 - 9*c + 9. Let q be r(8). Let f(b) = b - 3 - q + 0*b. Calculate f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*q - 6 = -2*q, -5*q - 16 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y. Suppose 2*w - 5 + 1 = y. Let x = w - -5. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 - -2.3. Let d = 3 + -2. Which is the nearest to 0.1? (a) r (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/11 (b) 5 (c) 4\/5 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 14*f**2 - 14*f - 2. Let i(h) = h**3 + 15*h**2 + 15*h + 1. Let o(k) = 2*i(k) + 3*w(k). Factor o(p).\nAnswer: -4*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3764 + 129 = 727*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.068 - -7.604. What is o rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3868, 3754, 3556, 3274?\nAnswer: 2908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2 - 4*a - 5. Differentiate p(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35556 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.5 - 7.5. Let i = -70.0065 + t. Round i to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1659*a**5 - 521*a**5 - 7*a**3 + 8*a**3 + (-2*a**4 - 3*a**2 + 3*a**2)*(1 - 2*a - 1 + (-3*a + 2*a - a)*(-2 + 4 + 0) + 1 - a - 1 + a + 2*a - 2*a).\nAnswer: -2168*a**5 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2220509303 to the nearest integer?\nAnswer: 47122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - 1)\/(5\/5). Let u = 10 + w. Is u*(-9 + -2) - 2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + o - 16. Let s(r) = -201*r**3 - 2*r**2 + 706*r - 31. Let v(x) = -2*i(x) + s(x). Find the second derivative of v(m) wrt m.\nAnswer: -1206*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -62.55. Let c = r - 3.55. Let a = -10 + 9.9. What is the closest to 2\/5 in c, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 15975 + 10678. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-71.5.\nAnswer: 28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 25. What is the tens digit of (-15)\/(-10)*(m - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46373 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 9*n**2 - 2*n. Let h be 2 + 3\/(-1) + -3. Let q be x(h). Calculate the highest common divisor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*v**2 + 20292*v + 679158 with respect to v.\nAnswer: 26*v + 20292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 5, 0, 3, 1 in decreasing order.\nAnswer: 111, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 16 - 29 - (30 + 2)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miui when four letters picked without replacement from {u: 2, g: 1, i: 5, v: 1, y: 5, m: 1}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 26, -2\/67, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 960 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 573*j**2 + 12498*j - 393120.\nAnswer: -3*(j - 208)*(j - 18)*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**4\/12 + 2*s**3\/3 + 2*s**2. Let b = 3 - -1. Determine m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 5 - 5. Let f(p) = 78*p - 1. Let u(t) = 6548*t - 84. Let d(i) = -336*f(i) + 4*u(i). Give d(a(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 11:51 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 556.06516 to one decimal place.\nAnswer: 556.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {m: 9, q: 2, y: 1, i: 2, r: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 0\/(-3) + 3 + 46 + 961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxcccfctxf. Give prob of sequence xft.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + 1*sqrt(102) - sqrt(102))*3)\/(4*sqrt(8)))\/(6*5*sqrt(18)\/sqrt(6)*2).\nAnswer: sqrt(17)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -135?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvvvvvvkv. What is prob of picking 2 k and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2581 + 0.0381. Which is the closest to r? (a) 5 (b) 7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4fc (base 16) in base 13?\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -933148 + 457148. What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 + 122.22. Let t = p - 12.22. Which is the smallest value? (a) -0.3 (b) t (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 46*a + 730. Calculate the least common multiple of 940 and p(25).\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 5*b - 10. Let l be g(7). Suppose -l*o + 3 = -0*o - n, -3*n + 11 = -2*o. Is (-1)\/(78\/(-38) + o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -140*u**4 + 1405*u**3 - 2980*u**2 + 5*u + 210 = 0.\nAnswer: -1\/4, 2\/7, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -354 at most as big as -361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.23 - 0.23. Let j = 13 + -12. Which is the nearest to j? (a) k (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 2, -1, 31.\nAnswer: -2, -1, 1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 444 + 934. Let n be (-8)\/u*(-50)\/20*-7. Suppose -140\/3*r**3 + 80\/3 - 245\/3*r**4 + 560\/3*r + 320*r**n = 0. Calculate r.\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -1 + (-5 - 1) + -3 + 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4 - 14*m**3 - 580*m**2 - 3400*m = 0.\nAnswer: -10, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 26*w + 8. Let k(l) = -13*l - 4. Let s(b) = 9*k(b) + 4*y(b). Is s(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1. Let g(a) = 2*a**2 + 39*a - 267. Let j be g(-24). Let n(i) = i - 9. What is j*f(k) - 6*n(k)?\nAnswer: -6*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m + 6. Let r(j) = -6*j + 6. Suppose 5*l + 35 = -2*t, 2*l = 87*t - 84*t + 5. Give l*x(u) + 6*r(u).\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = -z. Suppose -3*w + 18 = -6*w. Let x be -2 - (z - 1) - w. Solve 2*o - 7*o = m, -x*o - m = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2\/89, -3, 0, 1 in increasing order.\nAnswer: -11, -3, 0, 2\/89, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 599321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88.7 - -84.7. Put d, 106, -0.3 in increasing order.\nAnswer: d, -0.3, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -1 + -51 + -15 + 13?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0, -3\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 + r + 2 = 0 for r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -263*m**7\/840 + 37*m**4\/6 - 31*m**3 + 72. Let j(a) be the third derivative of p(a). Differentiate j(x) with respect to x.\nAnswer: -789*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14372195 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-11 - (2 + -10) - 17).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 5*u**2 - 5*u + 5. Let t(x) = 9*x**3 - 21*x**2 + 21*x - 21. Let l be ((-371)\/(-14) - 6) + 1\/2. Determine l*z(g) + 5*t(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -22, -5.\nAnswer: -22, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -256 - -514. Let k = 13 - 10. Suppose -k*q = -3*u + p, q = 5*q. List the prime factors of u.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 28680680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9414.4 + -9414. Let x = 37\/3 - 188\/15. What is the closest to x in i, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 28*h - 9 = 0. Let z(g) = 3*g**2 + g - 1. Let q be z(h). Let v = q - 9. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 + -1.5. What is the third biggest value in 1\/2, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0290293 + -0.026126. What is a rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(-p + 2 - 2) + p - 10*p - p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -16, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1838 - 1837. Let k(z) = z**2 + 1. Let a(t) = 3*t**3 + 2*t**2 - t + 3. Determine v*a(m) - 2*k(m).\nAnswer: 3*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 54. Suppose 4*k - y = -9. Suppose -k*g = 2*g - 55. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(726)*5)*-3 - (-4 + -3*sqrt(448) + sqrt(448))**2*5.\nAnswer: -9040 - 35203*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000089 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6157, -12310, -18463, -24616?\nAnswer: -30769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4566778299?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:24 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/(-24)*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73047 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 366 - 62. Let s be (-6)\/(-27) - g\/(-198). Let d = -116 + 582\/5. What is the closest to d in s, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + (-292 - -286)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28788*l - 28793*l = -4*d + 529, 4*l + 508 = -18*d for l.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 39 = 35 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(0 + (3 - 6)). Suppose -5*o = x + a, -8 = -5*x + o + 6. What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h = -4792 + 9739 - 4327 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 5:14 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/2 (b) -26 (c) 0.2 (d) 31.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 - 4*f + 5. Let a be r(4). Solve a*p = -2*l, 2*p - 11 - 5 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = -9*p + 6. Calculate the least common multiple of p and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2174290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 5*t - 1. Let x(p) = -4*p**3 + 2*p**2 + 17*p + 2. What is 6*m(r) - 2*x(r)?\nAnswer: 2*r**3 - 4*r**2 - 4*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -3 (c) 248 (d) 22780\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1140 and 39672?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -45085000 to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 60\/29, -3, -4.79 in decreasing order.\nAnswer: 60\/29, 1, -0.1, -3, -4.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = -17. Let d = q - -25. Suppose -4*l + 43 = 3*s, s = -l + d - 2. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 - 1108 - (-17 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - l - 6, -3*k - l = -6 + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v + v + v + v + 4*v**4 wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 5606*r - 93. Determine i(0).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 3. Suppose m = a + a. Find the second derivative of 6 - a - 12*c**3 + 2*c - 8*c wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 - 2*k - 2. Let v be y(-4). Suppose v = -7*c + 6*c. Let j(n) = -n - 6. Let b be j(c). Solve b = 2*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31098 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 - (10 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r**0)\/(r**(-3)\/r**(-1)))\/(((r\/((r*r\/r**(-2\/3)*r)\/r)*r)\/(r*r\/(r*r\/(r*r*r**(-4)))))\/((r**(-4)\/r)\/(r*((r**(-3\/5)\/r)\/r)\/r))) assuming r is positive.\nAnswer: r**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*m - 8 = 0, 8 = 3*p - m - m. Let w be (-3)\/(((-2)\/(-8))\/((-114)\/24)). Suppose -w = -15*z + 33. Calculate the least common multiple of z and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*s - 2*j, -3*s + 2*j - 9 = -21. Suppose -s*l = 3*x - 33, 3*x = -l + 4*l - 72. Let u = -18 + l. Solve -4 = -u*p - k, 2*p + 2*p + 4*k = 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/210 and -11\/147.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*m + 54. Let u(l) = 5*l - 130 + 246 - 146. Calculate the least common multiple of u(10) and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210040 plus 3505?\nAnswer: 213545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 276 + 32756?\nAnswer: 33254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y + 1. Let u be (6\/15)\/((-1)\/5). Let i be q(u). Is (i - (-1 + 2)) + 253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*l - 4*l. Let d be -78 - l\/(-4)*-1. Let x be ((-2)\/5)\/(8\/d). Solve -x*m + 1 + 11 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 59*j**2 - 78*j**2 - 77*j**2 - 1 + 149*j**2.\nAnswer: -65*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.5 + -8. Let n = -2 + z. Which is the second biggest value? (a) -2 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114878 times 5.48\nAnswer: -629531.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95139 and 1089?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 4*a + 7*a**2 - 1 + a**4 - 2*a + 3 as k*a + h + q*a**4 + i*a**3 + x*a**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 52031719\nAnswer: -52031721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 460, 457, 452, 445?\n\"Answer: -s**2 + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.072 (b) -911 (c) 1.8 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:53 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4\/(-20)*(-3)\/(3\/11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1254242 + -810613. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 - 12. Let b(g) = 515*g**3 - 6*g**2 + 8*g - 540. Let m(p) = -b(p) + 6*n(p). Find the second derivative of m(o) wrt o.\nAnswer: -3054*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 divided by 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8\/5)\/b*b\/(b*b**33\/b*b))\/(b\/(b*b\/(b*b**(-13\/3)\/b*b))*b*b**36) assuming b is positive.\nAnswer: b**(-1024\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 137022918 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672034483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/10 + 2*f**2\/5 - 162*f\/5 - 648\/5 = 0.\nAnswer: -18, -4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 97*u**2 - 40*u - 333. Calculate f(48).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 8*a**2 + 9*a + 4. Let n be p(9). Suppose -j + 8 = -n*x, -2*j = j + x - 24. Suppose j*v = 7*v + 15. Solve 4*u + v = -5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12\/35 and 9.361 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 9) + (6 - 2) + -39 + 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 + 4*u. Let g(y) = -4*y**2 - 3*y. Let c(o) = 4*g(o) + 3*w(o). Let r(p) = -p + 2 - 2. Determine r(c(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646 (base 8) in base 13?\nAnswer: 56b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 = -2*d + 4*h, -4*d + 1060 = -0*d - h. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 2*f. Let r(x) = 16*x**2 - 6*x. Let k(d) = -3*a(d) - r(d). Let u(j) = 71*j. What is u(k(h))?\nAnswer: -1349*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:19 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3462 (base 7) to base 14.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c86013 + -5?\nAnswer: c8600c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/219 in 4, -0.1, 3, 0.2, 2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -21\/2*p**2 - 5*p + 0 - 11\/3*p**3. Is b(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r + 337. Let j(l) = l. Determine f(x) - 6*j(x).\nAnswer: x + 337","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112527787 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3219*i + 14105 + 211225 = 0 for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q**2 + 2*q + 2. Give b(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 462 - 270. Let s = 117 - 93. Calculate the greatest common divisor of s and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/117143 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (99 - 89) + -2 + -3 + 1 + -16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 999 - 1008. Let q(p) = p**2 + 7*p - 1. Determine q(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let j(p) = 8*p**2 + 2*p - 2. Does 15 divide j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2276.367 and -0.2.\nAnswer: 455.2734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142670 + -67899. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 604, 750, 896, 1042, 1188?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + -1 + (-380 - -421)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*x + 772*x - 466*x - 164*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 0, 8\/3 in increasing order.\nAnswer: -4, -0.1, 0, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164 and 3031868?\nAnswer: 3031868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1147454*p**2*w**2 + 7962*p**2 + 2*w**2 - 181 wrt w.\nAnswer: 2294908*p**2*w + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 + -91. Let h be ((-80)\/12 + 2\/6)*d. Suppose 23*q - 8 = h*q. Solve 7*n = q*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, u: 8, w: 3}. Give prob of sequence wwuw.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 439 + -826. List the prime factors of (q\/(-5))\/(7\/35).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28324 = 5*k + 3*t - 11810, -2*k + 16052 = 2*t. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 2*v - 8*v + 19)*(1 - 1 + 2*v**4).\nAnswer: -12*v**5 - 62*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x + 5*x**3 + 7*x + (-4*x + 9*x + 5*x)*(2*x**2 - x**2 + x**2))*(15 - 15 + 8*x).\nAnswer: 200*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u - 8 + 5 + 2 in the form r + s*u and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/106? (a) -2 (b) 4 (c) 157 (d) 1\/6 (e) -5 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -188137.196 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1022 - -11332150?\nAnswer: 11333212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 10*z**2 - 8*z. Let m be k(9). Let v(g) = -16*g**3 + 11*g**2 + 10 + m*g - g**2 + 17*g**3. What is the tens digit of v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 22 - 13 = 0. Solve -2*c - 3 = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 76 = -4*y, y + 2*d - d = 18. Let m = 17 - y. Solve -m*t = -t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13151 + 6436?\nAnswer: 22620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271254 is divided by 90400?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 241392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + r**2 - r**2)*(3 - 3 - 1)*(-2*r - 2 + 2).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/5)*w)**(4\/17))**(2\/31) assuming w is positive.\nAnswer: w**(8\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 6 = 2*l. Let j be ((-7)\/4)\/(l\/48). What is the greatest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 - 19*z - 43. What is x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-1584)*-4*3*13 and 103\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 5*t**2 + 16*t - 51. Let m be o(6). Suppose -4*i = l + m, 4 = 4*i - 2*l - 2. Is i < 1\/250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000162188678 to seven dps.\nAnswer: 0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3472 + 42*h - 23*h - 21*h + 1729.\nAnswer: -2*h + 5201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - -11.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 17}. Give prob of sequence jqqj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11))**(-1\/17)*(k**14\/k)**(4\/17) assuming k is positive.\nAnswer: k**(570\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (459\/(-1020))\/((-18)\/30)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 112. Let y be (-8)\/d - 9591\/(-21). Let m = 10 + y. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f*g*i - f*g - 29*f*i + 2*g*i - 257*g + 1345*i wrt g.\nAnswer: -8*f*i - f + 2*i - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b, 3*h + 4*b + 1 - 31 = 0. Suppose 3*c = 3*i + 6, -5*i - 2*c - 31 = -0*c. Calculate the remainder when h is divided by 5*i\/(25\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214.6 - -4\nAnswer: -210.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -31 + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213096 and 22.\nAnswer: 2344056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -3*n - 9, 2*n = 18*b - 21*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**7\/1365 - i**6\/780 + i**5\/195 - 13*i**2. Factor c(z).\nAnswer: -2*z**2*(z - 1)*(z + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587 = -23*c + 796 - 646 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 8*j + 3. Let w be b(5). Suppose 0 = 16*s + 3529 + 7031. Let x = s - -598. Is x at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 104, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 12) in base 3?\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 11*l - 381. What is s(-16)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -2 - 5)\/(-2) - 10085. Let x = 4588 + i. Let w = x + 8968. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/2 + 2486*d**2 + 34755*d\/2 = 0.\nAnswer: -4965, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 2*q - 2*q**3 + q. Let n(p) be the second derivative of -p**5\/20 - p**3\/6 + 17*p. Calculate -4*n(z) + y(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.685096kg?\nAnswer: 0.007685096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -20, 317 in decreasing order.\nAnswer: 317, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p**2 - p + 5. Let h be q(0). Let j(v) = -v + 4. Let b be j(h). Let y = 67\/6 - 23\/2. Is b > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 3 + 126\/(-35) + 936\/10.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4424 and 221200?\nAnswer: 221200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -4 - (-11 + 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28*2\/(-20) - -3. Which is the closest to -2\/7? (a) 33 (b) -0.3 (c) f (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.007 - 37.007. Let s = 37.4 + o. What is the closest to -1 in 0.3, 3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 136 = -4*z, z + 272 = 5*d - d. Is d + (-2 - -2) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1386, -5212, -11500, -20250, -31462?\n\"Answer: -1231*m**2 - 133*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 530 - 4*k**2 - 268 - 262. Let x = 5 + -2. Let u(y) = x*y - 4*y**2 - 3*y. Give u(z(v)).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -15*m**2 - 75*m - 16. Determine v(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4662311 + 0.02882?\nAnswer: 4.4950511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o**2 - 5*o**4 - 10*o**2 + o + 22*o**3 - 24*o**3 in the form b*o**3 + v*o**2 + u*o + l + j*o**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -44 (b) -0.074 (c) -10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/23293186 and 77\/2940668.\nAnswer: 885141068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163086 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*r - 203*r - 922*r = 475*r + 69960 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -4*k**5\/5 + 55*k**4\/2 - k**2\/2 + 331*k - 209. Find the second derivative of g(x) wrt x.\nAnswer: -48*x**2 + 660*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from ahhahhaahhhhhhah.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1))\/(10\/(-210)). Let p = n + 5. Suppose 549 + p = 5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (2 + (sqrt(162) - -1*sqrt(162)))) + (sqrt(162) - (-2 + (-1*sqrt(162))**2)).\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1587 - 4790 + 8690 - 2*k to the form w + h*k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5072141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -25*u**8\/336 - 4*u**5\/15 - 1751*u**4\/24 + 1041*u**2. Find the second derivative of x(c) wrt c.\nAnswer: -500*c**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**7\/504 - 11*c**5\/120 - c**4\/2 + 11*c**2. Let u(d) be the second derivative of n(d). Differentiate u(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 equal to 1054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*k + 380*k + 5837 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -2*sqrt(300) + (sqrt(288)\/(sqrt(36)\/sqrt(3)))\/(-4*1*sqrt(8)).\nAnswer: -81*sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8097 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*i + 2516 + 2601. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -c + 26. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5 = l. Suppose 5*k + 3*y = 2*y - 5, 25 = -3*k - 5*y. Let f(a) = a**2 + a - 1. Let r be f(k). Sort l, r, -2\/7 in descending order.\nAnswer: -2\/7, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*g = 121 - 25, 0 = 4*p + g - 164. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 4. Let h = 1.1 - 1. Let d = -33.7 + 34. What is the third smallest value in t, d, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5463 + 11644. What are the prime factors of j?\nAnswer: 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 + 46*i**2 - 3*i + 36?\nAnswer: -40*i**3 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 3 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 25633860?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 538457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 55 = 12*w + 22. Suppose 4*u = -5*t - 17, 5 = -5*u + t - 4*t. Suppose 1 = u*y + 9. Sort -2, w, y in ascending order.\nAnswer: y, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191238343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/621 and -29\/989?\nAnswer: 26703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20972 = -17*x + 8591. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 372996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2\/j**(-6))\/((j\/(j*j\/(j**(-1\/3)\/j)))\/j**(-5)))**(-4\/5))**9 assuming j is positive.\nAnswer: j**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25797086*c**5 + 22*c + 447763 wrt c?\nAnswer: 515941720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0. Let j = -0.2 + y. Let p be 2*((-14)\/4 - -3). Which is the closest to p? (a) 3\/5 (b) 1\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -14. Is -37\/3 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 4:54 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2867 is divided by 171.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - 331?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j + 13*j + 15*j + 0*j - 2*j + j + (2*j + j - 4*j)*(1 + 2 - 2) - j - j + 0*j - 2*j + 2*j - 2*j - 2*j - 2*j + 6*j - 2*j + 5*j - j)*(-2 + 10 + 4).\nAnswer: 228*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -226457008199.5 - 0.34.\nAnswer: -226457008199.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10 - (3\/1)\/(-3). Let r = -2 - f. Let t(v) = -9*v - 7. Let m(l) be the first derivative of -5*l**2\/2 - 4*l - 1. What is r*m(d) - 4*t(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 381 and 1298067?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-11))\/(1490\/(-1639)))\/(2\/90).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 381.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.637594 grams to milligrams.\nAnswer: 8637.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*p + 455990 = 0, 0*v = v - 5*p - 227990. What is v rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12977967 < 12977965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 11. Let m be p(-6). Let f be (m\/25)\/(1\/5). Let h(u) = 3*u - 3*u - 9*u. Determine h(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.12492mg to nanograms.\nAnswer: 41124920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1232 + 334 = 3*n, -4*x + 1814 = 3*n. List the prime factors of x\/9 - 2\/9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -220.\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s - 17. Determine a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8228057 and 857?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388671 is divided by 510.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27.82667 litres?\nAnswer: 27826.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 15*l + 58. Let u be v(-7). Suppose -50*g + 48*g = -u. Put g, 4, 2, -3 in increasing order.\nAnswer: -3, g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*b + 272 = 0, -2*y + 0*b = 3*b - 130. Let h be 880\/(-12) + ((-110)\/15)\/11. Let k be -4*1 + (h + -2)*-1. Is k > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 837.9136 + 0.0864. Let y = 837.9306 - n. Round y to 3 dps.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 - 7*s**2. Let l(q) = -2*q**3 - 4*q**2. Suppose -3*p - p - w = 38, -w = -2. Let n be 4\/p*(-210)\/7. Suppose 2*o + o = n. Give o*h(g) - 7*l(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-24 - 12)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*1\/(7\/(-2)). Let g(j) = 6*j - j + a*j - 2*j. Let n(b) = b**2. Determine g(n(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*y + 51. Let q(t) = 4*t + 5*t**2 - y*t**2 + 5*t**2. Let r be q(4). Which is bigger: r or -0.11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837474608?\nAnswer: 2, 1213, 43151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 27*v + 118. Let s(w) = -10*w**2 - 80*w - 353. Let g(k) = 7*b(k) + 2*s(k). Let r be g(-5). Let c be (-1 - -7)\/(6\/(-4)). Sort r, 2, c, -1.\nAnswer: c, -1, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from bqqqqqqbbqq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-9)*3*2. Let y = -8 + f. Suppose x + x - 8 = y. Solve x*c - 16 + 0 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a22 (base 13) to base 4\nAnswer: -1133200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = a + 7, -107*o + 13 = -112*o + 3*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*-227429\nAnswer: -682287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:43 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -101. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 0)\/1*32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 21135292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-2)\/5)\/((-4503)\/1500 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15438, 15439, 15440, 15441, 15442?\nAnswer: 15443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4\/5*u**5 + 32\/5*u**4 - 32\/5*u**2 + 4\/5*u**3 + 0 + 0*u = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1575 - -1576) + 1 + (-1 + 1 - 18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -97, -205, -363, -571?\n\"Answer: -25*p**2 + 17*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-16)\/(-640)*112\/(-546).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 2. Let l be a(-13). Suppose t + 4*k = l, -4*t + t = 5*k - 183. Factor 6*x - t - 15*x**2 - 6*x**3 + 15*x**4 + 66.\nAnswer: 3*x*(x - 1)*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 104802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 689666 - 51723934\/75. Let t = v + 28\/25. Find the common denominator of t and 1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 343443304 + 5?\nAnswer: 343443313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 70*d**3 - 3*d**2 - 5*d + 2. Let x(l) = -71*l**3 + 3*l**2 + 4*l - 2. Let z(t) = -3*p(t) - 4*x(t). Let k be z(2). Round k to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -11, 2\/7, 1.7, 3?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/6 (b) -1\/5 (c) -105 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 10*p + 596. Let m = -17 + 18. What are the prime factors of 4 - m - (p - 6)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/60 + 7*p**4\/24 + 2*p**3\/3 + 4064*p**2 + 2. Suppose -3*g + g - 5*n = 26, -g + 2 = -5*n. Calculate c(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -74*z**4 - 25*z**3 + 153*z - 36. Let v(u) = 37*u**4 + 15*u**3 - 77*u + 18. Let w(q) = -3*r(q) - 5*v(q). Find the second derivative of w(x) wrt x.\nAnswer: 444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 13*m**2 + m - 17. Let h be y(13). Let s(d) = -d**2 - 3*d + 1. What is s(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + 4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 11. Let f(i) = 2*i**2 - 31*i + 114. Let a be f(6). Let n(h) = -h**2 + 15*h + 1. Let q be n(15). Solve q = o, -3*c - v = -a*c - 3*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - 10. Let g = -24.979 - q. What is g rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-1)**2 + 1 - (-1*(sqrt(21)*1 - sqrt(21)))\/sqrt(7).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 236, 473, 724, 995, 1292, 1621?\n\"Answer: p**3 + p**2 + 227*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-15)*5 + (-4)\/(-3). Let d be (0\/(-2 - 0))\/(1 + p). Suppose 2*x = -0*x + 4. Solve -j + 3*v = 14, j + d*j = -v - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 144?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 442124665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-108)\/(-2))\/(-9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**2\/2 + k + 6. Let x be v(-4). What is the least common multiple of (-3 + x)\/((-6)\/(-15)) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 150*r + 9. Let s(m) = m**3 + 8*m**2 + 18*m + 3. Let b be s(-8). Let z = -139 - b. Is v(z) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**3 + 0*x**3 - x**3)*(-176 - 10*x + 176) + (0*x**2 + 2*x**2 + 0*x**2)*(0 + 0 - 2*x**2) in the form y*x**4 + c*x**2 + a*x**3 + k + w*x and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21633636.\nAnswer: 2, 3, 1802803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1281*s = -1278*s - 9, 4*s = -12*f - 100 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*26\/(-6)*5430\/14480.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 3*s**2 - 11*s + 34. Let h(n) = -n**3 - 2*n**2 + 12*n + 13. Let u be h(3). Determine g(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - q + 2*q**4 + 2*q**3 + 0*q - q - 4*q**4 in the form r*q**4 + o*q**2 + c*q + y*q**3 + m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5797483 to the power of 1\/2, to the nearest integer?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 39*l - 248. What is i(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 4 - 15 = 0. Let z be t\/((-85)\/(-10) - 5). Suppose z*l**3 - 2\/7*l + 6\/7 - 6\/7*l**2 = 0. What is l?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (506\/61985)\/(((-92)\/69)\/((-40)\/6)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -38967, -3, 35 in increasing order.\nAnswer: -38967, -3, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiiiiiihiiiiii.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:18 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 (base 3) in base 6?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.4 - -18. Let d = 2.2 - j. Let o = d + 0.4000008. Round o to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 38. Suppose 3*z - z - b = 0. Solve z = 3*r - r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 23. Let c be 6 + 2\/((-6)\/i). Is 1 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1.49128, -3\/4, 2 in decreasing order.\nAnswer: 2, 1.49128, -3\/8, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*b**2 + 37*b**2 + b**2 - 3*b**2.\nAnswer: 116*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17599831 plus -6427?\nAnswer: 17593404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203 + 255. Calculate the greatest common divisor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001984011934 to seven dps.\nAnswer: 0.0001984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-14)\/14896)\/((-26)\/(-91))?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0489 take away -1?\nAnswer: 1.0489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14636*s = -14661*s + 750 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/5 + 4244*l**2\/5 - 444288*l - 31937472\/5 = 0.\nAnswer: -14, 1068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 + 21*m + 130. Let v be i(-6). Solve -10*g = v*g + 200 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-6))\/(-14*85\/1428)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b8 + 656?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 431145211 - 44?\nAnswer: 431145123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 10*k - 28. Let c(n) = -2*n**2 + 25*n + 210. Let z be c(-6). Give a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16797943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395783.66 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45\/10 + -4)*(-11 - (-238)\/21). Find u, given that -1\/6*u + a + 1\/6*u**3 - 1\/6*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*t = 4*t + 14, -2*o - 2*t = 4. Solve -o*j = -0*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -849*t**5\/10 - t**4\/12 - 10777*t**3\/6 - 7828*t. What is the second derivative of y(f) wrt f?\nAnswer: -10188*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -320 - -397. Suppose 220*y + z = 221*y. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 + 126 - 100 = 7*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2*sqrt(135) - sqrt(135)) + sqrt(135))*-2)\/((1*sqrt(450))\/sqrt(10)).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54986?\nAnswer: 2, 19, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28\/199 + 482\/597. Which is the closest to -3\/4? (a) 7 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.731 - 0.73100989. Round u to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.433016 - 11342?\nAnswer: -11341.566984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c + 2. Let z(a) = -3*a - 1. Let t(y) = y. Let u(n) = 4*t(n) - z(n). Let o(i) = 5*u(i) - 6*w(i). Calculate o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*f - 616*f + 1172*f.\nAnswer: -37*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 7*c = -8*c. Solve 9*i - i + 16 = c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3\/6 - y**2\/3 - 5*y\/6 + 1\/3.\nAnswer: (y - 1)*(y + 1)*(5*y - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 188860145*3\nAnswer: 566580435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/16)\/(-1 + (-1)\/(-2)). Suppose -2*v = 5*q + 11, 5*v + u*q - 4*q = 13. Suppose -v*w = -17*w + 2415. What are the prime factors of w?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(52)\/sqrt(4) + (sqrt(130)\/sqrt(160))**2.\nAnswer: -sqrt(13) + 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c0c8c (base 14) to base 4.\nAnswer: 21332113230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5738 = -k + 1340*s + 91*s, 4*s = 5 - 10 - 11 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 + 74*o - 116. Let c be m(10). Solve 34 = 2*b + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1822 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0*c - 1\/3*c**3 + 0*c**5 + 27*c**2 + 0 - 1\/6*c**7 + 0*c**6 + 0*c**4. Differentiate q(g) wrt g.\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9262*a + 9259*a - 18523*a - 2019)*(5*a - 5*a - 2*a).\nAnswer: 4*a**2 + 4038*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - (-2 + 6 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-6)*183\/854.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y + p - 0, 4*p = -3*y + 20. Let z be -1 - 1 - (y - -5). Let c = z - -14. Calculate the greatest common factor of 21 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 312361 - 2?\nAnswer: 312356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545971255 is divided by 284.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 1283.\nAnswer: -7\/1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1109889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-4)\/(-4)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u - 23. Let x be j(6). Let i = -31 + x. What is the tens digit of 9 + 36 - (-2 - i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148383 and 445149.\nAnswer: 445149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -6. Suppose -x + 18 = t. Let b(o) = -10*o**2 + 12*o - 12. Let m(z) = 4*z**2 + 1 - 4*z**2 - z + z**2. Give x*m(n) + b(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 5 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -42, -423\/5, 2, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o*o*o*o\/(o\/(o*o\/o**(-3\/2))*o))\/o*o**(-12\/13))\/((o\/((o*o**3)\/o*o)*o)\/o)**(2\/47) assuming o is positive.\nAnswer: o**(6971\/1222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*d + 2686 + 639. Calculate the greatest common divisor of 57 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133353*d*y**3 + d*y**2 - 2*d*y + 2*d + 2*y**3 - 1181*y**2 - 3*y wrt y?\nAnswer: -800118*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 21, -20?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 0)*15\/(-6). Suppose -t*d = r - 57, -d + r + 12 - 3 = 0. Let n(z) = -z + 23. Let a be n(d). Solve a = 3*m, -16 = -2*w - m - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 - 31*d + 4*d + 1 + 2*d**2 + 6*d**3 - 8*d**3 as a + p*d**3 + m*d + v*d**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28850.08 + 29728. Let m = -872 + x. Round m to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*b - 32, 4*b - 3*b - 8 = -3*s. Suppose 4*q - s*p - 4 = -0*q, -3*q + p = -13. Calculate the highest common divisor of 30 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 3.99.\nAnswer: 5.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59\/4074 + 12173806\/22407. Let v = 548 - l. Find the common denominator of -2 + (-4)\/((-176)\/190) and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2*x**3 + b**2*x - 2*b*x**2 + 168*b*x + 1964842*x**4 + x**2 + 1 wrt x.\nAnswer: 6*b**2 + 47156208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 27ef77?\nAnswer: 27ef79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + ((6 + 8 - 7) + -16 + 9 - 3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (24 - (1 - (34 + -29 - (-4 + -2))))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:21 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 941863 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 + 151.0000067. Round p to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m - 9. What is t(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0148334 rounded to 4 decimal places?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1 - 140*u + 12.\nAnswer: -140*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -728 divided by -26\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*u + 5539 = 768 - 3042 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1379*q - 1382*q = -5*n - 86, -5*q = 3*n - 132 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -25 - ((1 - 3) + 1). Let c be ((130\/(-4))\/5)\/(6\/s). What is the greatest common factor of 78 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 0. Suppose -i*q + 0*q = -12384. Suppose 3*s + q = 15*s. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -768 - -735. Let v(i) = -i**2 + 8*i + 3. Let w be v(6). Let t = w - d. Calculate the highest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/19470 and -17\/1770.\nAnswer: 19470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1436?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 90*v**2 + 600*v - 270. Give c(-37).\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 137, 209, 281, 353?\n\"Answer: 72*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2432, -2412, -2392, -2372, -2352, -2332?\n\"Answer: 20*u - 2452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -516 divided by 94936.\nAnswer: -129\/23734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12620 - 8962. Let h = -51189\/14 + a. What is the common denominator of h and (-2)\/4 - 100\/28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1187, -1982, -2777, -3572, -4367?\n\"Answer: -795*y - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 7*b**2 - 10*b**2 + 25*b**2 - 3*b**2 + 28477*b.\nAnswer: 4*b**2 + 28477*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3 - 19\/(-15)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187582369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ywyyyyyywyyyyyywyyyy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 13795 = i, -4*d = d + 5. Is 76 a factor of (-9)\/(495\/(-10)) - i\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32164485*s**3*u**4 - 960*s**3*u**2 + 5559*s**2*u**2 wrt u?\nAnswer: -771947640*s**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692915003 is divided by 1687.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6204 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + -1 + -4 + 4 + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 6 = -3*v. Let k be ((-2)\/(-4))\/(v\/(-4)). What is the tens digit of (-3 - k)*(-3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ktdktdkkfkttkktdt.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 259563.\nAnswer: -1\/259563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 7, b: 5, y: 5}. What is prob of picking 1 e, 2 u, and 1 y?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 at most as big as 1263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + m + m = -490, 3*m - 1201 = -5*i. Suppose 3*z - 1903 = -2*z - 4*w, -z + 386 = -w. Let t = z - i. What are the prime factors of t?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24394327499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4433 - -2.429529. What is u rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128*b - 1146*b + 91134 = 0. What are the prime factors of b?\nAnswer: 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 + 1012*o + 147136 = 0. Calculate o.\nAnswer: -836, -176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 0*c**2 + 43 - c**2 to q*c + o*c**2 + a and give a.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 15, 0 = -3*d + t - 5 - 1. What is the remainder when 7\/(2\/(7 + -1)) is divided by (-3 + 6)\/((-3)\/4 - d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 37. Let u(g) = 2 - d*g + 2 - 4. Suppose 39 - 42 = 3*p - 5*w, p - w + 1 = 0. What is u(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, 3, 13 in decreasing order.\nAnswer: 13, 3, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 23594762400 to the nearest 1000000.\nAnswer: 23595000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) 4 (c) -2\/5 (d) 5 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*(-292)\/84 + 70\/10 and -22\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 6*w + 2*w)*(-5*w**2 + 5*w**2 + 7*w**2) in the form u*w**3 + l*w + k + i*w**2 and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-49)\/14 + 16)*76 and 1330?\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5828*p**3 - 4622*p**2 wrt p.\nAnswer: 34968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18874373?\nAnswer: 7, 197, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 8 - 3, -2*f = 2*a. Let n = -2629\/424 - -4\/53. Find the common denominator of n and 1 + a - 51\/(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -32.821?\nAnswer: -32.821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1707*o = -1706*o + 5*b + 32, -4*o + 4*b = 32 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49052.\nAnswer: 2, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/90 and 52\/12159.\nAnswer: 121590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10792 take away -277.486?\nAnswer: 11069.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - c + 400. Let f be g(0). Let j be 135\/f + (-4)\/10. Let o = j + -3\/16. Which is greater: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 239*v**3 - 1 + v**2 + 0 + 0*v**2 + v - 2*v**2. Let f be g(1). Suppose o - 2*o - 94 = -2*z, -5*z = -4*o - f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = 0, 0*d + 4*d = s + 49. Let j be 24\/(-14) - d\/42. Let c be j + (-24)\/(-5) + -2. Is c less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11928299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from dcccduycducdccyudcyc.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1971)\/405 - 10\/(-2). Let j(u) be the first derivative of d*u**5 + 2\/3*u**4 + 2 + 4\/3*u**2 + 2\/3*u + 4\/3*u**3. Find k, given that j(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/((-2)\/((-16)\/6)). Let g = j - -18. List the prime factors of 0 - g\/3 - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 149*k**2 + 856*k - 234. Determine g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 200 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1857300 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -134 + 1?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 17*d - 5. Let o be b(9). Suppose -c = v - 362, -c - o*c - v = -1802. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.54?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 smaller than -15.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) + -6 - (-19 + (-618)\/(-42)). Let w = 1675\/2919 + -1\/417. Factor 0*l**3 + q*l - 2\/7*l**5 - 4\/7*l**4 + w*l**2 + 0.\nAnswer: -2*l*(l - 1)*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 19\/3. Which is the nearest to o? (a) 0.2 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.075218 rounded to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:20 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 101ca (base 14) to base 6\nAnswer: 455330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -58 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v - r, -4*v + 5*r = -10 - 26. Suppose 0 = 3*x + 4*y - 12, x - v*y + 6 = -2*y. Solve 0 = -u - x - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Let g be 3\/((a\/12)\/5). Let q = -6 + 15. Calculate the highest common factor of g and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.2 in 2\/7, -0.5, 739?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-7)\/(-910)*2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -15*n**3 + n**2 - 1. Determine p(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-53340)\/(-4116) - (64\/196)\/(-8))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afgf when four letters picked without replacement from fajjmgajjfmmmjjfm?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-321)\/1260 - 22*27\/(-2376).\nAnswer: -1\/210","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1423355710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-2\/85)\/n))**(1\/3)*(n\/(n\/(n*n*n*n*(n**(-11\/4)\/n)\/n*n)*n))**(-7\/2) assuming n is positive.\nAnswer: n**(6731\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/25 and ((-56)\/(-20))\/(2 + 42\/(-33))?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**9)**(-13\/6) assuming z is positive.\nAnswer: z**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4630\/13 + -356. Which is the smallest value? (a) -2\/3 (b) f (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 134, 3, -2, -1.\nAnswer: -10, -2, -1, 3, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -686516 - 168377. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/91, -0.4, 0.5, 3\/13, -2\/3 in descending order.\nAnswer: 0.5, 3\/13, 2\/91, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = -2*l. Let r = 3 + l. Let q be ((-7)\/(-2))\/r - 2. Which is the nearest to -2? (a) 2 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 8*q = -5. Let o(l) = -l**3 + 9*l**2 + 10*l + 3. Let y be o(10). Suppose 0 = 5*n - y*n. Solve f + q + 1 = n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-194 + 160 - (-13 + -32)) + (0 - 58).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717 divided by 30.\nAnswer: -239\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {s: 1, p: 1, e: 2, v: 2, x: 1, y: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2434*q**3 + 0*q + 0*q - 2426*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/4 + 8*g**3\/3 - 3*g**2\/2 - 4*g + 1. Let a be r(7). Is 16 a factor of 160\/12*a\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**5\/60 + z**4\/36 + z**3\/18 - z**2\/6 + 4*z. Let r(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**3 + 4*p**2 + 23*p - 7. Let h(c) = -16*c**3 + 7*c**2 + 45*c - 15. Let k(n) = 6*h(n) - 13*j(n). Find the second derivative of k(l) wrt l.\nAnswer: -30*l - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1375 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012211010222 (base 3) to base 12.\nAnswer: 271a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -571*b**7\/210 - 571*b**3\/6 + 4*b**2 + 17*b. Find the first derivative of m(g) wrt g.\nAnswer: -2284*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + j - 148 = -166, j - 4 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71975 divided by -2879?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/7)\/(((-1938)\/1190)\/(-19)*10).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323525 (base 7) to base 2.\nAnswer: 1101110011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeo when three letters picked without replacement from {y: 6, o: 1, w: 1, z: 3, e: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 372, 390, 442, 546, 720, 982, 1350, 1842?\nAnswer: 2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(15\/6 + -1). Suppose -6 = -g*k + 10. Solve -2*x - 2 = k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b0b (base 13) to base 12.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*n - 164 = -2*m, 2*m - 158 = -n. Suppose 6 = 2*f + 6*p - 3*p, 0 = 2*p + 8. Calculate the remainder when (m\/9)\/(1\/3) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozgtfdf. Give prob of sequence fz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69.2 + -68.2. Let p = 0 - 0. Let i = q + p. Which is greater: i or -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1213, -9137, -30587, -72307, -141041, -243533, -386527?\nAnswer: -576767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8783730 and 84150.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2*q**4 - 89250*i**2*q - 58231*i*q**3 - i*q**2 wrt q.\nAnswer: 24*i**2*q - 349386*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 3*f - 2133 = -11*h, 0 = -4*f - 16. What is the greatest common divisor of 42 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1964 is divided by 216.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -13 - (-34 + 34).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.15 (c) -2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -3 - (-1 + -1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1156567\/224580 - 1\/11229. Find the common denominator of -19\/106 and g.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/20910 and -119\/6794520?\nAnswer: 115506840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10945, -10940, -10921, -10882, -10817, -10720, -10585?\nAnswer: -10406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfsdedfssvdd. Give prob of sequence ddev.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 271*v**5\/5 + 2*v**3\/3 - 76*v + 210. What is the third derivative of r(g) wrt g?\nAnswer: 6504*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51, 136, 277, 474, 727, 1036?\n\"Answer: 28*s**2 + s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z - 3. Let w be v(3). Calculate the highest common divisor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -2.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 7*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 + 2*h - 14. What is n(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 896 in -12, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (1 - (-9 - -7)) + -12 + 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 652*f + 51 wrt f.\nAnswer: 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -497562 divided by 6?\nAnswer: -82927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b + 19*b - 84*b + 19*b + 20*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86333.\nAnswer: 13, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10, -1, -5 in increasing order.\nAnswer: -10, -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 6*c**2 - 5*c - 32. Calculate b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + -7 + 5 - (-84 - -58).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 39, 5, 4, -3.\nAnswer: -3, -2, 4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:12 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -632, -653, -684, -731, -800, -897, -1028?\n\"Answer: -m**3 + m**2 - 17*m - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, 3\/2, -1.241, 0.1 in descending order.\nAnswer: 14, 5, 3\/2, 0.1, -1.241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1171*c**3 + 166*c**4 + 1171*c**3 + (-3*c**2 + 3*c**2 + 2*c**4)*(3 + 2 - 6) + 5*c**4 - 4*c**4 + 0*c**4.\nAnswer: 165*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 30.10014us?\nAnswer: 0.00000000004976875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3 - 7 = 4*v, 23 = 4*l + v + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 + 5. Let x = -5 - -1. Let t(c) = c**2 + 5*c + 7. Let o be t(x). Let h(u) = -u**2 - 1. Give o*h(k) + d(k).\nAnswer: k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2351157 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 730651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.81258 millilitres to litres.\nAnswer: 0.02981258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2929484*z**2 - 470911*z**2 - 857401*z**2.\nAnswer: -4257796*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*m = 40. Solve 2*f + 3 = -m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:19 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**15*v*v)\/v**14 assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197547197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181000020 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/(-16) + 2\/16. Suppose 0 = 4*p - 4 - 8. Suppose -p*r + u*i + 26 = 0, -r + 5*i + 40 = 4*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -521, -1080, -1639, -2198?\n\"Answer: -559*y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(490)*-3).\nAnswer: -sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - (-3 - 13)\/(-4). Find the third derivative of -3*z**t - z**2 + 11*z**2 + 0*z**2 - 6*z**6 wrt z.\nAnswer: -1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 919972 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/20 - 11*v**4\/8 + 17*v**3\/6 + 4*v**2. Let g(m) be the first derivative of u(m). Is g(10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8576 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g = -10. Let b(u) = -26*u - 189. Let a be b(-7). Put g, -1, a in descending order.\nAnswer: -1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137404083 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/28263 and 91\/10?\nAnswer: 282630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -4, -2, 4, 14?\n\"Answer: 2*k**2 - 8*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a micrometer in nanometers?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1154\/465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 v when three letters picked without replacement from {z: 5, v: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-15)\/g*g)**(-42)\/(g\/(g\/(g*g**(-1\/9)*g)*g))**10)**(3\/22) assuming g is positive.\nAnswer: g**(2795\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1. Let w(h) = 7*h**2 + 3. Determine 6*f(b) + 2*w(b).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1989 and 8\/1989?\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 42*l**2 - 42*l - 38. Let k be a(-41). Suppose 0 = u - k, 0 + 2 = -4*f - 2*u. What is the second smallest value in -61, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from mmgepmmrm?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*j - 2832 = -235*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6)*3*5. Suppose -q*m = -957 + 242. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3 + 5\/2*l + 1\/3*l**3 - 11\/2*l**2.\nAnswer: (l - 16)*(l - 1)*(2*l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*(-4)\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 9*z - 18. Suppose 4*r - 6*r + 1 = -a, 0 = -2*a + 10. Let y be k(r). Solve 8*l - y = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1063911 by 8.\nAnswer: -1063911\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -de65 (base 16) in base 8?\nAnswer: -157145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, 44, 123, 264, 491, 828?\n\"Answer: 4*b**3 - 5*b**2 + 28*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 4. Let y(i) = 2*i**2 - 5. Let b(m) = 5*n(m) + 4*y(m). Let v(u) = -6*u**2. Calculate v(b(o)).\nAnswer: -54*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 9. Suppose 0*n - 4 = g + 5*n, 0 = n + 2. Calculate r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*h - 34*h - 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 81*t**2 + 44*t - 158. Let r be x(40). Solve r*o + 8\/3*o**2 + 0 + 2\/3*o**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*s - 6 = -15, 3 = -4*f + 5*s. Which is the biggest value? (a) f (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -268*f**2 - 2*f - 2. Let y(d) = -273*d**2 - 3*d - 3. Let l(p) = 6*o(p) - 4*y(p). Let s(z) = z. Calculate s(l(n)).\nAnswer: -516*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1734 and -77\/20844.\nAnswer: 6023916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 + 4*l - 3. Suppose -48 = -60*c + 252. Suppose c*a = 3*u - 8 - 5, -1 = a + u. Let z(r) = 4*r**2 - 5*r + 4. Determine a*z(x) - 3*y(x).\nAnswer: x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-21))\/(31\/((-15624)\/(-16)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -260636.65 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 391 - q - q - 385. Suppose -4*r = 13 + 7. Give u(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8897466 divided by -1482911?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and ((-8)\/6)\/(6\/(-45)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117171 divided by -40\nAnswer: 117171\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 6976*w.\nAnswer: -2*w*(w + 3488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -44. Suppose c + 22 = d. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22725.05 litres?\nAnswer: 22725050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4992 or -4991?\nAnswer: -4992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-1600)\/(-6) + 23\/69 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 4. Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, m: 1, x: 1, p: 7}. What is prob of picking 1 m, 1 z, and 2 p?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 8*x + 12. Let a be z(-9). Suppose -a*v = -111 + 12. What is the remainder when v is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179287423 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85812337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 102 - -3?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3331 - 1?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 284, 282, 280?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 0.2079, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88191 = 2996*w + 36269 + 64288 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, f: 8, x: 7, r: 3}. What is prob of picking 1 f and 3 r?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4326335 or 4326341?\nAnswer: 4326341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 2, w: 7, o: 2, j: 2}. Give prob of sequence ws.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k + 36. Let t be z(-3). Suppose -3*y + 33 - 21 = t. Suppose -13228 = -y*c - 6*d + d, 0 = -3*d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12949630*z**4 + z**2 - 454892 wrt z.\nAnswer: 310791120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/24 - 2*r**3 - 4*r**2. Determine t(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 800 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25129, -24827, -24005, -22405, -19769, -15839, -10357, -3065?\n\"Answer: 43*n**3 + 2*n**2 - 5*n - 25169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -139*t - 3737. Let r be b(-41). Calculate the greatest common factor of 144 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45797 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -3. Let p(j) be the first derivative of j - 20. Let a(g) be the first derivative of 2*g**3\/3 + g**2\/2 + 4*g + 1. Determine c*p(o) + a(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28e (base 15) to base 7.\nAnswer: -1463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5711032mm in kilometers?\nAnswer: 0.0000005711032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/3529 + -7064\/10587. Let s = -1 + 5. Which is the nearest to 0.1? (a) g (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 4\/5, 0.5, 5 in decreasing order.\nAnswer: 5, 4\/5, 0.5, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -5*i - 3*i. Let n(v) be the third derivative of -v**5\/60 + v**4\/24 - 4*v**3\/3 - 4*v**2. Calculate n(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 12 - 102. Let x = 31 - j. Solve 5*d = s - x + 9, 2*s = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 + z. Let j(y) = -36*y**2 + 6*y. Determine 6*j(h) - 34*l(h).\nAnswer: -12*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017262 rounded to 6 decimal places?\nAnswer: -0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:34 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 83524 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.1, -0.14, 8.92, -4\/7, -3, 4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*s - 3. Suppose -3*j = -12 + s. Solve 0 = j*z + z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21618 + -21619. Let p = -241\/5 - -249\/5. Let g = -11\/10 + p. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -16. Let l = -4.9 - j. Let u = -15\/14 + 11\/14. What is the nearest to l in 0.3, -3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, f: 2, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31441111 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-959)\/1370)\/((-5)\/(-50))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-190)\/(-25))*-10. List the prime factors of (-2030)\/(-8) + (-19)\/b.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1*sqrt(95)*-6)\/(-6*sqrt(10)\/sqrt(2)))**2 + 3)*-2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s - 2. Let i be a(-2). Let n = i + 8. What is the remainder when 38 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1016.9431 + 1017. Round i to three decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/340*-4*35?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10*(-75)\/60. What is the nearest to 0.3 in 2\/7, z, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 89359.\nAnswer: -7\/89359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**2 + 5 - 4*s**2 - 4*s**2 + (1 - 1 - s)*(-2*s + 1 - 1).\nAnswer: s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6))\/((-10)\/(-105)). Suppose 7*o - 3*o = 2*x + m, -4*x + 12 = 0. Let f = -7 + 6.5. Sort -0.4, o, f in decreasing order.\nAnswer: o, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19240 - 19230. Which is the nearest to 7\/6? (a) 2 (b) 1 (c) -1\/9 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4585 + -4545. Which is the smallest value? (a) 1.16 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*m + 7784 - 7784 as p + i*m and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 593901 and 2772?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107 and 6693171.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 419479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 3*p**4\/20 + 2*p**3\/5 + 16. Suppose v(d) = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240354689 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502309 is divided by 88295?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 310\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 0*j**5 + 1\/3*j**6 + 5*j**2 + 105 + 9\/4*j**4 + 0*j - 8\/3*j**3. Find the third derivative of n(r) wrt r.\nAnswer: 120*r**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.41 - 0.09. Let f = -21 + 22. Which is the nearest to f? (a) z (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1484670?\nAnswer: -1\/296934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 8*v - 3. What is c(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1784819131, 1784819132, 1784819133?\nAnswer: 1784819134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*a - 188*a = -54. Solve 0 = 5*b + k - 19, 4*b - a*b - 5*k = 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622438795.\nAnswer: 5, 311, 1043369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 1. Let z be o(-2). Put -1, 1, z in increasing order.\nAnswer: z, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -2\/15*w**6 + 85*w - 2*w**3 - w**5 + 0*w**2 - 7\/3*w**4 + 0. Determine v so that j(v) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4 - 200*m**3 + 182*m**2 + 1608*m - 2376 = 0?\nAnswer: -3, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 5*l**2 + 2*l + 4. Suppose 0 = -r + 2*r + 5. Let p be s(r). Differentiate 2 + p*i + 8 - 239*i with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1417\/8 - 177. Which is the third biggest value? (a) 1\/10 (b) 12 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 17\/4222492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619 + 629 = -p + 3*r, 4*p - 28 = -5*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001011011110010011 (base 2) in base 3?\nAnswer: 20000012121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(2448) - (-1 + sqrt(2448)) - sqrt(2448) - 2*sqrt(612)) + -1)*6*-3)**2.\nAnswer: 12690432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*k - 340*k + 9*k = -5376 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, -1 in descending order.\nAnswer: 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18744462 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(2\/8)\/1*6. Suppose -2*k + 2061 = c + 297, -3*k = p*c - 5307. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221533, 442610, 663231, 883396, 1103105, 1322358?\nAnswer: 1541155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2580 (base 11) to base 12\nAnswer: 1b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxollxmxlxoqkooololx. Give prob of picking 1 q, 1 l, and 1 o.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 1334808024*y - 148476038411232048.\nAnswer: -3*(y + 222468004)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -7*g + 5, -3*o - 4*g + g = -27 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 52.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 234*x - 4486. Give p(39).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + 72\/32. Let n = 7 - 5. Find the third derivative of -n + 3*a**3 + 2 - 6*a**3 - p*a**2 wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - 3 - 230\/(-35))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*k - 1 = 0, 8 = 4*k - 8. What is the remainder when 9 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111010111101000100 (base 2) to base 14.\nAnswer: -8a4100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 18*d**2 - 2*d - 29. Determine s(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2587, -10416, -23459, -41710, -65163, -93812, -127651?\n\"Answer: o**3 - 2613*o**2 + 3*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161218 (base 10) to base 14.\nAnswer: -42a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33\/2 - -293\/18. Let l = -187388 - -187386.2. What is the second smallest value in l, i, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11572 + 22475. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((2\/130)\/((-74)\/(-740))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 3*s**2 - 7*s + 10. Let t(v) = -3*v**2 + 18*v + 3. Let d be t(6). Is m(d) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3603681, 3603696, 3603709, 3603720?\nAnswer: 3603729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7980658 minutes in days?\nAnswer: 0.00194310125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(6*(-5)\/5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2 + 6 - 4 - 26*j**2 + 27*j**2. Let f(t) = -67*t. Give f(c(n)).\nAnswer: -67*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1987368, -7949570, -17886574, -31798380, -49684988, -71546398?\nAnswer: -97382610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (8\/(-2) - 0). Solve -6 + 0 = -d*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - -27 - -31) + (14 - 3) + -41.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/6 and 41\/49890.\nAnswer: 49890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 10*u**2 - 10*u + 11. Let j be f(9). Suppose -j*t = -4*n + n, -3*n = -4*t. Do -2\/7 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, o: 4, y: 4, d: 5, n: 1}. What is prob of picking 1 w and 1 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712713399?\nAnswer: 3, 10067, 23599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*f)*(-3*f + 0 + 0 + (f + 0 + 0)*(4 - 1 - 4) + 1 - 1 + 2*f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15391, -61132, -137267, -243790, -380695?\nAnswer: -547976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 + 5235*w**2 + 13842864*w + 732328128.\nAnswer: (w + 54)*(w + 5208)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -707, -1395, -2067, -2723, -3363, -3987, -4595?\n\"Answer: 8*l**2 - 712*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 6. Let y be x(-4). Suppose -9*z = -2*z - 21. Suppose 5*m + i = -4*i + 55, y*m - z*i - 42 = 0. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4556*r**2 + 45*r**3 + 8743*r**2 - 4187*r**2 - 46*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f - 2. Let m = 135.6 - 135.1. Which is the closest to f? (a) -3 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 387.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -67.8. Let m = a + 25. What is the nearest to -2\/5 in 0, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -108.47432.\nAnswer: -32.542296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**5\/20 + 13*f**4\/12 + 5*f**2 - 8*f - 6. Let c(q) be the first derivative of o(q). What is the units digit of c(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q + 3. Let y(z) = -9*z - 2. Let k(v) = 3*x(v) + 5*y(v). Suppose -2365*a = -2320*a - 45. Calculate k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -3\/4, 3\/2, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 - 135. What is the remainder when 73 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -218, -414, -594, -704?\n\"Answer: 9*j**3 - 73*j**2 - 2*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 3*d - 14 = -9*w, -2*w + 13 = -3*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -34. Let d be c\/(-20)*(-30)\/(-4). Does 14 divide 7\/(3*(-2)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 12*y + 19. Let t be d(-5). Let l(x) = x - 1. Let z(a) = 5*a - 4. Give t*l(k) - 2*z(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 19 = -5*d - v, -d + v - 3 = 0. Let i = d + 10. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**3 + 5*x**2 + 8*x - 4. Let c(o) = 11*o**3 - 10*o**2 - 17*o + 9. Suppose -8 = -8*p + 4*w, -5*p + 2*w = 14 - 22. What is p*c(a) + 9*v(a)?\nAnswer: -a**3 + 5*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61272 divided by 888.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v + 8. Suppose 7 = 2*h + 3*y, -2*y = 5*h - 45 + 33. Let d(n) = -3*n. Let m be d(-5). Solve 5*f + m = v*g, h*g - 2*f = -0*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - v**3 + 2*v**3 + (-2*v**3 - 3*v**3 + 3*v**3)*(6 + 1 + 5))*(2*v + 3*v + 0*v).\nAnswer: -110*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 2 w when four letters picked without replacement from {w: 3, z: 3, c: 3, j: 4}?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 7*w**2 - 8*w + 10. Let k be j(-8). Let p(m) = m + 7 + 4*m + k - 14. What is p(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45307*x + 45671*x + 6916 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let o(u) = 553*u - 2. Give l(o(c)).\nAnswer: 305809*c**2 - 2212*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56911\/14 - -4060. What is the common denominator of w and (-2)\/(-6) + (-149)\/60?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from cjhchcrtcrr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v - 22*v + 3*v + 10*v + 6*v. Let r(b) = -20*b + 3. Calculate r(u(o)).\nAnswer: -120*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z - 15. Let r be c(-5). Let v = r + -18. Solve -4 = -5*w - 5*h + 11, h = -v*w + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 19*i - 9. Suppose -25*j + 12 = -21*j. Suppose -d + 0*d + 16 = s, -4*s = -j*d - 50. What is the tens digit of v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-66))\/(10\/(-60)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z - 1. Let h be n(2). List the prime factors of 2*1\/2*h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11853328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/11280 and 11\/20880.\nAnswer: 981360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-7)*4*2\/20. Suppose 0 = -c + 5*c + 4. Which is bigger: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 9*w - 3*b, 23*w - 26*w + 2*b = -11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 0. Let v be -1 - (-3 - t) - -8. Suppose 317 = 3*x - 4*w, v*w - 3*w = 3*x - 319. Round x to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*(p\/p**(3\/7)*p)\/p))\/p))**(-8)*(p**(1\/19)*p*p)**(-26) assuming p is positive.\nAnswer: p**(-9834\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 1\/6*j**3 - 3*j + 0 + j**2. Find the first derivative of f(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -21097.4, -0.04?\nAnswer: -21097.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 1 - 1)*(-3 - 2 + 3)*(-44 + 106 - 11).\nAnswer: 102*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d - 12. What is j(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42\/56)\/((2 - 1) + 2). Let l = -0.1 - -0.1. Which is the closest to -2? (a) l (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 + 144 + 198)*(-2*m + 5*m - 5*m).\nAnswer: -534*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615377.\nAnswer: 3, 421, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414573 is divided by 1071.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21971306 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 - 94 + 451 + 187)*(-3 + 24*d - 9*d - 14*d).\nAnswer: 645*d - 1935","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.073 + -0.173. Is 27 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 192 and -8.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let o(x) be the second derivative of 3\/2*x**p - 5*x - 1\/3*x**3 + 0. Give o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 1, b: 2, y: 4, i: 1, d: 2}. Give prob of sequence ib.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**3\/w))\/w)\/(w*w**(-22\/3))*w\/((w*w*w**6*w*w)\/w)*w**20 assuming w is positive.\nAnswer: w**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o + 0 + 3 - 6. Let n be x(-3). What is the units digit of (2\/(-6))\/((-3)\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 3*s. Let v be g(4). What is the common denominator of 47\/10 and (-2)\/v + (-47)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-16))\/(32\/192)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18807 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 352?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 748 = -5134. Let i = 19941\/8 + -2496. What is the common denominator of 8 - p\/(-54) - -2 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-109200)\/160)\/195)\/((-4)\/104*1)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:02 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (15 - -9)) + (-2 + -2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 13*l = 125. Let f = l + 32. Calculate the least common multiple of f and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-6)*(3 - 2). Let p be 42\/(-9) - (-3)\/(-9). Put 2, r, p in decreasing order.\nAnswer: r, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*z + 32, -5*v - 63 + 77 = -4*z. Let g(l) = -9*l - 55. Give g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-14) + (-7)\/(-2). Suppose 0 = 5*v - t - 30, 5*v + f*t = 5*t + 30. Suppose -2 = -2*l + v. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -921, -673, 0.2?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2162, -4353, -6576, -8831, -11118?\nAnswer: -13437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120.876 and 1.\nAnswer: -120.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 161*d**4\/12 - 29*d**2. Let r(v) = v**2. Calculate r(u(o)).\nAnswer: 103684*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let m(r) be the first derivative of 65*r**2 + 729. What is m(d(y))?\nAnswer: -130*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s + 1 - 9*s**2 - 6*s**4 - 3*s - 3*s**3 - 5*s + 11*s in the form i*s**3 + f*s**4 + t*s + b + u*s**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01719 to 4 dps.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**3\/3 + d**2\/2 - 3*d. Let z be k(1). Suppose -z*j - 8 = -7*j. Which is bigger: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsotd. Give prob of sequence so.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -26*d + 8*d + 761. Solve -2*t - 5*k + 14 = -7, 5*k - d = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3\/7 - 37776*y**2\/7 + 984780*y\/7 - 947000\/7 = 0 for y.\nAnswer: -9470, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 - -204. Let u = 64 - q. Solve u*k = -4*j + 10, -2*j + 9 = j + 3*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 6*l + 3. Let m be r(-5). Let b = -96618 + 96620. Sort m, b, 1 in increasing order.\nAnswer: m, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 4:31 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29040\/113 + -257. Let h(c) = 46*c - 322. Let r be h(7). Is r at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 81*y**5\/5 - 49*y**2\/2 - 2*y - 109. What is the second derivative of t(g) wrt g?\nAnswer: 972*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 + 6.2. What is the biggest value in i, -0.5, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -28*p**2 + 53*p + 40. Let w(v) = 27*v**2 - 52*v - 32. What is -4*d(x) - 5*w(x)?\nAnswer: -23*x**2 + 48*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m - 6*m + 4598*m**3 - 21*m - 4519*m**3.\nAnswer: 79*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -11. Suppose -4*l + 4*r + 36 = 0, 4*l - 58 + 14 = -4*r. What is the greatest common divisor of l and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -40. Solve 3*u - l = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1353 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 2*w + w + (-3 - 1 - 3)*(-w - w + 4*w + 2).\nAnswer: -13*w - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 53*y - 50*y. Let j(s) = 5*s - 4. Calculate the least common multiple of 40 and j(y).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 4*w - 2*w)*(0*w - w - 2*w)*(12*w + 14 - 13*w - 71) in the form a + d*w**3 + q*w + l*w**2 and give l.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 2. Let x(c) = 2*c - 1. Let i(n) = 3*x(n) + 3*y(n). Suppose -d = -5*q + 7, 3*q - d - 5 = -0*d. Suppose o - q = 3. Determine i(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**2 - 3*p**2 - 2*p**2)*(5 - 2 - 40)*(-137*p - 11318 + 11318) in the form i*p**2 + x*p + n + r*p**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 365 + -364 + -16 + -2 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9044.\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**3 - 3*r**3 - 3*r**3 + (-25*r**3 + 0*r**3 - 4*r**3)*(3 - 1 - 5)*(-1 - 2 + 2).\nAnswer: -88*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2764803.97 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y - 16906 + 245826 = -4*y. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6880 and -89\/12288.\nAnswer: 2641920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*u**2 - 195*u**3 - 96*u**3 - 77*u**2 - 62*u**2 - 162*u**2 wrt u.\nAnswer: -1746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-84)\/(-20) + -3)\/(20\/(-1550)). Is -94 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 31*v**2 - 32*v + 10. Let z be k(32). Let b be 3 + 15\/z + -4. Let n = -499\/6 + 83. Which is greater: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -3\/11 (b) 7 (c) -4 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -381 in ascending order.\nAnswer: -381, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*a - 25, 10*a - 5*l + 10 = 15*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 834845 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {l: 1, f: 1, k: 1, a: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**3 + d**2 - d - 1. What is v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m*m**(2\/3)*m**(-4)*m\/m**(-2\/9))\/(((m\/m**(2\/5))\/m*m)\/(m\/(m*m\/(m*m\/((m*m*m**(-2\/7)*m)\/m)*m)))*(m**0)**(1\/3)) assuming m is positive.\nAnswer: m**(-449\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2870*i*z - 3*z + 107 wrt i.\nAnswer: 2870*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-398)\/(-4) - (-1)\/2. Suppose 4*p + 9 + 3 = 0, 4*a - 4*p - n = 0. Let g = -16 + a. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 21*b - 1. Let o be d(1). Suppose -o = -v - 0*v. Let g(p) = -p**2 - 17*p - 18. Calculate the remainder when g(-6) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 3*r - 9, 0 = 2*r - 5*a. Let z = -1 + r. Suppose -5*v + p = 3*p - 25, -5*p - 20 = -z*v. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237934 by 5.\nAnswer: -237934\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 25, -3*d + 3*k = 2*k - 1. Suppose -171 = -d*l - 63. 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 c = -15 + 30. Let m be 1053\/45 - 6\/c. Solve 2*o - 9 - 3 = -2*x, -3*o - 4*x + m = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4125 and 10?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 407?\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1470*d**2 - 3*d - 3. Let n be p(-1). Let r = 4252 - n. Suppose -3*y = 5*k - 3481, 5*k - r = k - y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, -2271, -8926, -22097, -43956, -76675?\nAnswer: -122426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*(sqrt(117)*1 - sqrt(117)) - sqrt(117))*-6)\/((sqrt(576)*-5)\/(sqrt(32)\/sqrt(2))) + -2.\nAnswer: -2 + 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.253692 and 213684049.\nAnswer: 213684048.746308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o**2 + 2*o - 3. Let h be i(4). Let s = 45 + -28. Calculate the greatest common factor of s and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000653 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2253 (base 7) to base 9.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 10909831236391?\nAnswer: -10909831236386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 1844\/15?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4395213, 8790420, 13185625, 17580828?\nAnswer: 21976029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295126, 590228, 885330, 1180432, 1475534?\nAnswer: 1770636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s. Let z be r(5). Let y = z - -2. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163999, 163999, 163997, 163993, 163987?\nAnswer: 163979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r. Let f(y) = 16*y - 128. Calculate i(f(d)).\nAnswer: 48*d - 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.803 and -18.\nAnswer: -21.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317199486 to the nearest integer?\nAnswer: 17810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130703031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (348\/5)\/(2\/(-10)). Suppose -17*j + 16*j - 5 = -d, 4*d = -j + 5. What are the prime factors of 2\/(4\/u*j)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*10\/(-4)*(-106)\/265.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011036 to six decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 + 5*g**3 + 3*g**3)*(-68 - 19 - 205)*(3 - 3 - 6*g).\nAnswer: 5256*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let u(k) = k**3 + 6*k**2 + 5*k. Let p be ((-1)\/(-2) - 0)*-10. Let z be u(p). Give d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -l - 0*l + 6, -l - 4 = 0. Let k(g) = -2*g**2 + 25*g - 20. What are the prime factors of k(s)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 85*k**2 + 5*k - 843. Let v(z) = 69*z**2 + 4*z - 842. Give 4*l(f) - 5*v(f).\nAnswer: -5*f**2 + 838","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8367.513 + 8356. Let l = y - -11.6. Round l to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p + 26. Let h be (-4)\/(-26) - 1410\/(-130). Suppose 0*i - 2 = -i. Let n(k) = 2*k - 5. Determine h*n(c) + i*s(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2592 and 1008\/(-54)*234\/(-91).\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 - 76*z + 657. List the prime factors of a(25).\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4730 + -4721.958. Let r = 642 - 650. Let t = y + r. What is t rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 58. Let q(a) = -43*a + 41. What is the hundreds digit of q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -17*c - 100. Let h(v) = -2*v**2 - 16*v - 68. Let a(f) = -3*h(f) + 2*u(f). Let t(g) = -5*g**2 - 13*g - 3. Give -4*a(y) - 5*t(y).\nAnswer: y**2 + 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 103 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) + ((-2)\/(-4) - 0). Suppose 5*y - 12*y + 56 = b. Let g(v) = -2*v**2 + 25*v - 70. Let f be g(8). Solve -y = -f*x - 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/167280 and -83\/12240?\nAnswer: 501840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*m = 4, -3*t = -3*m - 4 + 7. Solve -4*o + 16 = -t*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*7\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, b: 1, f: 2, k: 6, t: 1, q: 1}. Give prob of sequence knt.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from ggaggagaagag.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 539 * -0.5972\nAnswer: -321.8908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3788 - -3798. Calculate the greatest common factor of 2000 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by -132?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 565824267 and 565824266 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and 0.01.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**2 + 58*n + 117. Let j be x(-5). Find i, given that 176\/3*i**j - 140*i**3 - 8*i + 100*i**4 + 125\/6*i**5 + 0 = 0.\nAnswer: -6, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p + 125. Give q(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(106\/26 - (-26)\/(-338)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/sqrt(144))**2 - (sqrt(6)\/sqrt(18))**2)*2.\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3 + 46*c**2 - 54*c**2 + 3 - 8*c**3 - 2*c**4 = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58, 63, 72, 85, 102, 123, 148?\n\"Answer: 2*l**2 - l + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 2, 33 in decreasing order.\nAnswer: 33, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -19. Let f = i + -21. Let g(d) = -d**2 - d + 2. What is the units digit of g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/99 + 19\/(-77)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {v: 2, s: 1, c: 1, q: 1, z: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(104)*-2 + -6*(sqrt(104) - sqrt(104)*5))\/(-5*sqrt(200) - (1*sqrt(800) - sqrt(800))))**2.\nAnswer: 1872\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3\/9 - 177442*u**2\/9 + 354830*u - 1596654 = 0.\nAnswer: 9, 88703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 283.85339 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0.3. Let x = 4 + -10. Let q be (3\/8)\/(x\/(-4)). Which is the second biggest value? (a) -2 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37, 923.9, -1, -13\/9?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 5. Let r be v(4). Suppose -3*w = -3*h, h = 4*h - 4*w + r. Let l(m) = 4*m**3 - 1. Is 3 a factor of l(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 3 - (2 + 0) - -50. Suppose c = s - 159. Calculate the highest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y + 2. Let u(r) = 26*r - 27*r + 1 - 2. Let j(o) = -5*u(o) + z(o). Calculate j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2509 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3886810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31578 (base 13) in base 10?\nAnswer: -88824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -169993, -9, -5.\nAnswer: -169993, -9, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -2, -0.1, -2\/21, 28523?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2, -140 in ascending order.\nAnswer: -140, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6595*h**3 - 15*h**2 + 181*h wrt h?\nAnswer: -39570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.233 + 0.333. Which is the nearest to -26? (a) -4 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 5:25 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 74 - 19. Suppose -43 = -2*c + 3*i, -i - 4*i = -4*c + 81. Let a = q + c. Is a >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-2)\/(5\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 15*j**3 + j**2 - 2*j + 1. Calculate d(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9446117.\nAnswer: 9446117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/343032 and 47\/85758.\nAnswer: 343032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 11:43 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/4 - 16*g**3\/3 + 15*g**2 - 33*g - 35. What is the hundreds digit of w(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 6*w + 3. Let b(i) = -i**3 - 6*i**2 - 2*i - 3. Let r be b(-6). Calculate the remainder when v(r) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 6*d**2 + d + 4. Let z be o(-6). Let v be 1*5 + 2\/z. Let k = -47 + 49. Solve -p = -c, k*c + v = -3*p + 6*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221021012222 + -111?\nAnswer: 1221021012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*p - 21986 = -7082 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26171 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171132368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 210421 divided by 51\nAnswer: 210421\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3626 + 63531. Let f = 59908.000014 - n. Let u = f + -3. Round u to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -6*d**7\/7 - 71*d**6\/24 - 17*d**5\/6 + 5*d**4\/24 - 89*d**2. Factor n(r).\nAnswer: -5*r*(r + 1)**2*(36*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84271 (base 12) to base 14\nAnswer: 47177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -24*j**3 + j**2 + j + 1. Let a be l(-1). Suppose -9*o + 119*o = 3960. Let h(c) = a*c - o*c + 17*c. What is h(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 35*s - 10*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 50395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-13))**(1\/4)\/(j**(-15)\/j*j*j\/(j**22\/j)*j))**(1\/6) assuming j is positive.\nAnswer: j**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301 - -299. Let u be (-6 - o) + 286972\/(-7). Round u to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51a (base 15) to base 9\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -240. Let k = -227.3 + w. What is k 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 2*i*k**2*m**2 - 101*i*k*m - 4*i + 2*k**2*m**2 + 4*k**2 + 215*k*m**2 - m**2 wrt m.\nAnswer: 4*i*k**2 + 4*k**2 + 430*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -64*o - 10. Let p be r(10). Let f = p + 154. Calculate the remainder when f\/(-10) + (-20)\/(-50) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506595390?\nAnswer: 2, 3, 5, 7, 827, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*c**3*n**3*r**3 - 14*c**3*n**3*r + 2*c**2*n**3 + 2*c**2*n**2 + 51*n**2*r**3 wrt c.\nAnswer: -138*n**3*r**3 - 84*n**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 701*w**4 - 2542 + 13*w**3 - 661*w**4 - 10*w**3 with respect to w.\nAnswer: 160*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -97026*g + 194010. Calculate w(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*27.7.\nAnswer: -83.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25793\/10 - 12894\/5. Which is the fifth biggest value? (a) -5 (b) 157 (c) s (d) -0.5 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7141*2.61\nAnswer: 18638.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p + 26 + 29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1712*a**3 - 5*a**2 + 7. Let z(d) = 15406*d**3 + 44*d**2 - d - 62. Let u(t) = -53*b(t) - 6*z(t). Find the second derivative of u(v) wrt v.\nAnswer: -10200*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57660, 115320, 172980, 230640, 288300, 345960?\n\"Answer: 57660*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -31.4. Let j be -1 + (-4)\/38 - -1. Which is the closest to -2? (a) -5 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/1003 at most -3215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*u - 178*u = 3*d - 40, -4*u + 4*d - 36 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 21*c**2. Let i(v) = -166*v**2 - 176*v**2 + 517*v**2 - 161*v**2. Determine i(m(j)).\nAnswer: 6174*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81832*k - 595*k**2 - 81832*k + 597*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30131015?\nAnswer: 5, 6026203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*o**2 - 4)*(76 - 12*o - 76)*(-64*o + 105*o - 82*o) - o**4 + 2*o**3 - 2*o**3.\nAnswer: -1477*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274988 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70865113 rounded to four dps?\nAnswer: 0.7087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 8*v + 5. Let m be g(9). Let c be ((-2)\/(-5))\/(8\/(-40)) - m. Solve -4*d + 3*t - 1 = c*t, 2*t + 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/23 (b) -1\/3 (c) -4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etcccmctc. What is prob of sequence cetc?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 14) to base 5\nAnswer: -2142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33557265 divided by -3728585?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1745 + -1255. Does 108 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:07 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 - (-34)\/6. Suppose -3*c = -4*z - 23, -2*z = 2*c - 1 - q. Is -2 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*l + 770*l - 218*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010101011010 (base 2) in base 16?\nAnswer: -355a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from zmmkmmzkmmmkzzmk.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**18)**(-38))**(16\/5) assuming v is positive.\nAnswer: v**(-10944\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/42 - (-60)\/(-14). Let p = -3 + h. Let q = p - -18. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 6*m + 2. Let d be -1 - 0 - (-50)\/10. Suppose 2*u - 10 = d*u. Suppose z = 1 + 3. Let h(i) = -3*i**2 + 7*i + 2. Give u*o(a) + z*h(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/216 and 23\/3816.\nAnswer: 11448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/70 and 149\/7350.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 3\/2, -0.4 in decreasing order.\nAnswer: 29, 3\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -3, 4\/3, 0.08?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r + 18 = -33*r + 3*f, 0 = -3*r + 4*f + 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16134892 is divided by 2689146?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcz when three letters picked without replacement from lqzzhpc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*k + 7*k - 6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b - 10*b + 12 - 12 as v*b + a and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1967?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -3. Let a be (2\/(-3))\/(l\/9). Suppose -3*q + a*j = q - 15, 0 = -5*q + 5*j + 15. What is the greatest common divisor of q and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1126 + -1128.2. Sort -11, b, 1 in increasing order.\nAnswer: -11, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912849.8 meters to nanometers.\nAnswer: 912849800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u - 3*f + 10 = 0, -u - 5*f + 5 = 0. Suppose 0 = -a - 1, 5714 + 2503 = 4*c - u*a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126410 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 e when four letters picked without replacement from {t: 3, x: 3, e: 5, f: 3, p: 3, z: 2}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67471575598*y + 67471575598*y + 16*y**2.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -188191?\nAnswer: 4\/188191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6501*g**2 - 527*g wrt g.\nAnswer: -13002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15733368 divided by -16492\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/7 + 3*h**4\/7 - 2*h**3\/7 - 12*h**2\/7 - 8*h\/7.\nAnswer: h*(h - 2)*(h + 1)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + 30\/9. Let u = 6 - r. Suppose 2*i - u = 30. Solve p + i = 4*y, 5*y + 0*p - 31 = 4*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7277 in 5, 697, -1\/2?\nAnswer: 697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -51. Let x = j + 26. Let n = 5.1 - 0.1. Which is the nearest to -4? (a) x (b) n (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.6 to 0 dps.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -603460947*n**4 - 32*n**2 - 13909184*n wrt n.\nAnswer: -14483062728*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (10 + 3)) + 50\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -i + 5*i + 16, 0 = -2*d + 2*i - 22. Let o be (6\/28)\/(d\/(-16)). Let t = 1696\/11 + -154. Sort o, 0.5, t in increasing order.\nAnswer: t, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2)*t)\/t*t)\/t**(-1))**22\/((t\/t**(-1\/4))**(13\/6)*(t**(2\/3)\/t)**(2\/39)) assuming t is positive.\nAnswer: t**(-2519\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2015, 2255, 2667, 3251, 4007?\n\"Answer: 86*j**2 - 18*j + 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**6\/120 + h**5\/10 - h**4\/3 - 2*h**3\/3 + 13*h**2. Let w be q(-7). Solve l + 6 = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -675\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -5)*(-5 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 2. Let q(x) = 134*x + 8. What is -4*d(p) - q(p)?\nAnswer: -130*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*c**2 - 242 + 304 - 96*c**2 in the form b*c + a + l*c**2 and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.9 - 268.9. Let n = t + 257.9548. Round n to 3 decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f71 (base 16) in base 10?\nAnswer: 8049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2689153920 divided by -6\nAnswer: -448192320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3613837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19275760 to the power of 1\/2, to the nearest integer?\nAnswer: 4390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + ((4 - 4) + 5 - (44 - 19))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-1)\/24)\/(14\/(-322)*-23).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-57)\/(-6) - 10)*-214. Which is smaller: n or 110?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16057, -1, -4, -2 in decreasing order.\nAnswer: -1, -2, -4, -5, -16057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*f**2 - 96*f**2 + 1337*f - 6247*f + f**3.\nAnswer: f**3 - 4910*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m*m*m)**(-15))**28*(m\/(m*m**(-5\/6)))\/m**(-6)*(m**(2\/7))**(4\/9) assuming m is positive.\nAnswer: m**(-210803\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -63315)\/(-5) - (-4 + -2) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50625139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27260 is divided by 585?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - -7. Let o = 12 - w. What is the remainder when (-5)\/(15\/(-9)) - o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 49*n + 21. Suppose 2*f + 760 = 4*f. Let m(z) = -f - 21*z - 4*z + 370. Let c(o) = 5*m(o) + 3*v(o). What is the derivative of c(b) wrt b?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + k - 2. Let s be z(3). Let r(c) = -8*c**2 + s*c**2 - 4*c**2. Let u(b) be the first derivative of -3*b**3 - 30. Calculate u(r(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1235 and 312?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - 0.02. Let f = -0.36 + p. Which is the nearest to 0? (a) f (b) -5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 14, a: 5}. Give prob of picking 4 a.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 8*u**2 + 11*u - 13. Suppose 5*b = 0, -2*d - 35 = -7*d + 3*b. Let o = d + -4. What is the remainder when a(9) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10702 - 10694. Calculate the greatest common divisor of c and 7064.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Let h be (-1)\/6*-10*12\/150. Let p = 0.09 + 0.31. Which is the biggest value? (a) h (b) q (c) -5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-204)\/(-1530) + 0\/(-2*1). Let u(b) be the first derivative of 21 + 0*b - m*b**3 + 3\/10*b**4 - 2\/5*b**2. Factor u(g).\nAnswer: 2*g*(g - 1)*(3*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000198407 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 95 - 28 - 53 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*q + 5 = 0, 11 = -3*f - 4*q + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 42.2, -9\/7, -54, 41 in decreasing order.\nAnswer: 42.2, 41, -9\/7, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*t**2 + (2*t + t - 4*t)*(-434*t - 332*t + 114*t).\nAnswer: 650*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 280*k**2 - 52*k + 575. Is p(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4) + (-300)\/(-40) + 4. Solve 9*x = 14*x + z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7800\/(1 - (-533)\/(-530)). What is d rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/36 and -59\/201720.\nAnswer: 605160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8357738 is divided by 363376?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 10:06 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7162 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 12. Suppose -4*s = -5*t + 15, -3*s + 12 = 2*t + 2*t. Suppose s = 6*a - a - 45. Calculate the smallest common multiple of a and q(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/5)\/o*o)**(-9\/7)*(o**1)**(2\/13))**7 assuming o is positive.\nAnswer: o**(-749\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4668444 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:27 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1008)\/(-156))\/(1164\/11349).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 1764, 363\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 35. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdeeddufkezzddkdd. What is prob of picking 1 z, 1 k, and 2 d?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 3. Suppose 0*k + 5 = k. Suppose 2*i - i = -k*d + 64, 2*i = 8. Suppose d + 0 = -4*l. Give p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -240611, -481219, -721829, -962441, -1203055, -1443671, -1684289?\n\"Answer: -i**2 - 240605*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1661 or -5352?\nAnswer: -5352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 7)*(-5 + d**3 + 5) + 4*d**3 - 2*d**3 - 3*d**3 - d - 47*d**2 + 5 + 46*d**2 - d**3 + 13.\nAnswer: 3*d**3 - d**2 - d + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1944452, -1944295, -1944138, -1943981, -1943824?\n\"Answer: 157*v - 1944609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 30*i - 188. Let w be z(22). What is the highest common factor of w and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -164 + 224. Suppose b + t = -14 + 26, -4*t + q = b. Solve -6*c = b*c - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)\/(v*v**(-6)*v)*(v\/(v\/(v\/v**(2\/7))))**6*((v**0)**(-9\/8))**(6\/17) assuming v is positive.\nAnswer: v**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 6*t + 9. Let s be l(-7). Let q = s - 0. Let g be ((39\/6)\/(-13))\/((-2)\/8). Solve q = -3*b + g*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:07 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + c**2 + 0*c**2 - 4 to the form u*c**2 + y + r*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 281975000 to the nearest one hundred thousand.\nAnswer: 282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -700*q**2 - 1061*q**2 + 167*q**2 - 178*q**2 - 266*q**2 to the form m*q**2 + j*q + f and give m.\nAnswer: -2038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let w = 14 + -10. Suppose 5*u - g - 14 - 10 = 0, -3*u + 28 = -w*g. What is the remainder when u is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 890601 at most as big as 890593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*y - 154. Let o = y - -92. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 70 = 13*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a**2 + 9. Let f = -162 + 162. Suppose f = -48*i + 43*i + 35. Let g(l) = -8*l**2 - 5. Determine i*g(j) + 4*q(j).\nAnswer: 4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 1) + (-1 - 1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/446661 and -65\/9379881?\nAnswer: 9379881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-135))\/((-912)\/(-760))?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (64 - 63)\/(2\/44570) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 4548.\nAnswer: 22740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 8. Let g be d(-4). Suppose g*x - 2*x + 3800 = 0. Round x to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 take away 51.52?\nAnswer: 377.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11051232 - 40?\nAnswer: -11051312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from kjkwzkzjkzjzzzzzjkzz.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.6 - 25.71. Which is the nearest to -2\/5? (a) o (b) -2 (c) 2\/9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232.1493 minutes to hours.\nAnswer: 3.869155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 + 9 - 406*b**3 - 3 + 3 + 0 + 413*b**3 as s + k*b**3 + w*b**4 + z*b**2 + c*b and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 523\/13. Which is bigger: -0.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*-6*1. Let g be (5 - x) + -1 + 0. Calculate the least common multiple of 3 and 5\/2*(4 - g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 16, -1\/2, -428250?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119004097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z + 50. Let r be a(5). Suppose -2*b + 174 = 2*u - 436, -5*b = r. Calculate the remainder when u is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -524 and -184.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2 (b) 0.105 (c) -5\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-6) - (28\/8 - 5). Which is the second smallest value? (a) 5 (b) 0.04 (c) 2\/7 (d) r (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14880957*g**4 - 16496233*g?\nAnswer: 178571484*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4161477.\nAnswer: 3, 131, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 494457453 and -0.0133.\nAnswer: 494457452.9867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 6*p**2 + 1431*p + 714 = 0.\nAnswer: -238, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (459284\/24430)\/((-4)\/5)*2\/(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 0.1, 2\/31, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15169960 and 390.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5 - 3 - s**2 + s**3 + 1. Let u(n) = n**3 + 2. Let t be 352\/56 - 3 - 2\/7. Calculate t*u(a) - 2*o(a).\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*u - 10 = -6*u, 2*u + 15 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 1:49 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*j + 135*j - 28 = -4*s, 3*j - 3*s = -21. Solve j = 14*v + 32*v + 414 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853068 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n - 28 + 199. Let h = n + -15. Solve 0 = -15*u + 11*u - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1678 or 1679?\nAnswer: 1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 0*m)*(12 + 5 + 3*m - 4*m).\nAnswer: 2*m**2 - 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2511192\/115056 + -22 - (-1)\/12*2. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120286*u + 11338484?\nAnswer: -120286","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put together -17.296678 and 6586239.\nAnswer: 6586221.703322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/17))**(-5\/6) assuming q is positive.\nAnswer: q**(5\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 2*p**3 - 9*p**2 + 6145*p. Let d(x) = 2. Determine 18*d(q) + 2*t(q).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49303?\nAnswer: 47, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/381 or 9\/7?\nAnswer: 2\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 108, 146, 184, 222?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(d - 2*d + 2*d) + 0*d - 3*d + 4*d + (1 - 2 + 3)*(-3*d + 3*d - 2*d) - 4*d + 2*d + d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 4*r + 13. Let f be s(6). Let m(l) = 11*l + 66. Let d(z) = -1. Let w(n) = 66*d(n) + m(n). Determine w(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1683041 microseconds?\nAnswer: 0.0000001683041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33)\/55)\/3)\/((80\/550)\/2).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*x + 2141*c**3 - 39*x with respect to x.\nAnswer: c**3 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4159434.\nAnswer: 2, 3, 163, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5 + 5 - 137*m + 6 + 127*m. Is v(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.005 + 0.905. Let j = -6.5 + q. Let a = j - 15.9. Round a to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 2*v**2 - 4*v**2 - v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10384843?\nAnswer: 7, 1483549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -0.3, 0.3, -336\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6505 is divided by 763.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.80813 * 0.13\nAnswer: 0.3650569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -1\/3, 5, -3, 0.014, 4?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 3345*o - 157590.\nAnswer: -5*(o + 51)*(o + 618)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 l when four letters picked without replacement from {e: 3, l: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 1. Let w(z) = z**2 - 5*z - 5. Give -5*o(i) - w(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 7 = z, 3*z + 5*m + 12 = z. Let x = 0 + 0.4. Let k = x + -0.8. What is the closest to z in -0.5, 1, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*2\/(-3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n)**(-6\/11) assuming n is positive.\nAnswer: n**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i + (-403 + 98 - 1966 - 604)*(-3*i + 4*i + 5*i))*(-1 + 1 + i**2).\nAnswer: -17249*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s = -4*q + 35, -4*s + 49 = -q. Suppose 3*m + 2 = -3*g - 1, -3*g = -4*m + 17. Put g, s, 1, 3 in ascending order.\nAnswer: g, 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzruuzzuduuzuudzddd. What is prob of picking 1 r and 2 u?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 111*k**2 - 5*k + 553. Calculate c(111).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -692*g + 3. Let a(q) = q. What is y(a(i))?\nAnswer: -692*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3164 + 2289 = 31*k - 17890. What is the third biggest value in k, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5 - 3 + 1 + 10*d + 1. Let b be z(4). Suppose 3*s - 97 = -b. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*y**6 + 34415*j*y - 13337182*y**6 - 2772*y**2 wrt y?\nAnswer: -240*j*y**3 - 1600461840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a microsecond in nanoseconds?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*u - 5789 = 5289 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544815492?\nAnswer: 2, 3, 13, 3492407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + 0 + -2) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(2*x - 4*x + 3*x) - 20 + 8 + 14 - 5*x)*(-9 + x + 9).\nAnswer: -7*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10217442 divided by -3706\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 3838\nAnswer: -383.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.4 - -39. Let o be (1*-1)\/(1\/3). What is the third biggest value in o, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72771 (base 12) to base 7.\nAnswer: 1162306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 1*sqrt(1300) + -3 - ((sqrt(117) - (sqrt(117) + (sqrt(117) - sqrt(117)*-1) + sqrt(117)))*-4)\/(sqrt(81)*-6))**2.\nAnswer: -124*sqrt(13) + 50053\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 26 = -a, 0 = -20850*k + 20851*k - 5 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 262 or 251?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 747 - 705. What is the highest common divisor of l and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-34)\/5 + 8)*5. Calculate the greatest common factor of d and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/(-1204)*(-3)\/(-21*(-13)\/182).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzgaaagzzrazzrrzzr. Give prob of sequence gg.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*y + 5*c - c - 12, -40*y + 4*c - 44 = -0*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/2400*(-10)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 11:51 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 11 + 4 + -12 + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + z + 6, -3*t - 2*z + 6 = -22. Let c = -3 + t. Let b = -4 + c. 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 the units digit of 1377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1560 - 1559.7. Let g = -0.1 - -0.1. Which is the fourth smallest value? (a) g (b) z (c) -0.21 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 20. Let w = -19 + a. Find the common denominator of (-5 + -33)*1\/w and 25\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18298 (base 11) in base 12?\nAnswer: 12a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27911 and 1269216.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1924.621 rounded to the nearest ten?\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 24152*h**2 + 96656*h - 96672.\nAnswer: -4*(h - 2)**2*(h + 6042)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 28 - 12 = 0. Let i(t) = t**2 - 19*t + 32. Let w be i(20). Let l = w - m. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1487 and 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 26. Let b(p) = -p + 2. Let z be b(-8). Let n be t(z). Solve -i - 2 = n*c + 1, 0 = 4*c + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 329195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12444046 is divided by 527?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/279 and 13\/27?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = 5*f, -2*d + 1 = -f - 0*f. Let i = 4 - 2. Suppose 0 = -i*x + 10. Put x, -1, d in ascending order.\nAnswer: -1, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 129. Let f(w) = -w**3 - 5*w**2 - 3*w - 6. What is the units digit of f(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/r*r*r**(-1)*r*r**(-2\/5)*r\/r**2*r)\/(r**(-5)*r**(-3)*r*(r**(-6)\/r)\/r*r**(3\/10)*r) assuming r is positive.\nAnswer: r**(193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, -23, -59, -97, -137?\n\"Answer: -d**2 - 31*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 4. Let u be 0\/2*3\/(-6). Let o be h(u). Let a be (-92)\/(-20) - o\/10. Solve a*q + 3*f = -1 + 5, -4*q + 2*f = -12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 - 21*r + 38. Let o be g(-6). Solve 5*z + i + 0*i = 20, -z = -3*i - o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(2 + sqrt(11) + sqrt(11)) - (-1*(1 + sqrt(1331)))**2.\nAnswer: -1330 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*l + 2794*l**2 - 8396*l**2 + 2802*l**2 + 2792*l**2.\nAnswer: -8*l**2 + 123*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -153 + -249.23\nAnswer: -402.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6250)\/(-46875) + 29\/(-15) + 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/3 (b) 2 (c) -1\/44 (d) 0.01 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z**2 + 3*z - 4. Calculate v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -102. What is the remainder when 98 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6171) + (sqrt(6171)*-2 - sqrt(6171)) - sqrt(6171) - sqrt(6171))*1 + sqrt(6171))\/(sqrt(36)\/sqrt(108) - sqrt(135)\/sqrt(5)).\nAnswer: 99*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 30 = -3*s. Find the first derivative of s*u**2 + 6 - 11 + 4*u**3 + u**3 - u**3 wrt u.\nAnswer: 12*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 16 - 1. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.49582ml in litres?\nAnswer: 0.07549582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 - (6 + (3 - 9 - -4)). Suppose -o - y + 14 = 0. Suppose -5*t + 5 = 0, o*t - 12 = -f + t. Calculate the remainder when 15 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36.936 * -300\nAnswer: 11080.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 3739\/3, 0, -6\/7, 5.\nAnswer: -6\/7, 0, 5\/6, 5, 3739\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10, -1, -7, -805, -4 in descending order.\nAnswer: 2, -1, -4, -7, -10, -805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.237 (b) -29 (c) 3 (d) 3\/2 (e) -1\/9 (f) -0.019\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*d - 23 + 5 = 0, d = t - 11. What is the lowest common multiple of t and 294?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010011110111110 (base 2) to base 16\nAnswer: 127be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*g = 84. Let p(w) = w**2 - 2*w - 8. Calculate the remainder when p(-5) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 3 - 4 + i - 6 + 1. Let w be r(0). Let p(l) = l**3 + 8*l**2 + 7*l + 18. What is the units digit of p(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7975*x = 8064*x - 3204 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 20*z**4 + 1045*z**3 + 3120*z**2 - 3205*z - 980 = 0?\nAnswer: -49, -4, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325 - -325.04. Which is the closest to 15? (a) o (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 62*c + 1704\/7.\nAnswer: 2*(c + 4)*(c + 213)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 12. Suppose 4*h + p*f - 24 = 0, 0 = 4*f - 17 + 1. Solve -6 = -h*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -25*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-6)*(-6)\/(-4). Let y(w) be the second derivative of w**5\/20 - w**4\/2 - 4*w**3\/3 + 4*w**2 - 6279*w. What is y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 83*a - 3. Let r be c(3). Suppose -62 = -16*i + 11*i - 2*m, 2*i - 19 = 5*m. Calculate the highest common divisor of i and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*k + 295129 = -1262544 - 379801. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.1 + -19.9. Let a = s + 25.1. Sort 6, a, 0.2 in decreasing order.\nAnswer: 6, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -16*r + 36. Let -2*o - 759*o**3 + 758*o**3 + 3*o - o**4 - o**2 + r*o**2 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*a = -7, -3*a - 2 = -j - 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180)*-2 + sqrt(180) - sqrt(180))**2 + -1.\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*n - 679 + 788 - 2349 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -21*j + 113. Let k be b(5). Solve -k*g - 89 = -65 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 384 - 753 = -3*v, 3*v = -4*h + 1137. Suppose -z = -l - 129, 2*z + z - v = l. Suppose z = x + 4*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = u + 3*u + 28, -2*c - 4*u - 24 = 0. Let n = 3 + c. Let o(b) be the second derivative of 4*b**3\/3 - b**2\/2 - 6*b. Calculate o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 92, 1\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 5*r**6\/3 - 8*r**3\/3 - 9*r**2\/2 + 117. What is the second derivative of o(f) wrt f?\nAnswer: 200*f**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1547 + 1547. Are o and 2\/4885 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19269.557 - 19269. Which is smaller: -6\/13 or c?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 7. Suppose c + 5*d = -0 - 11, 5*d = -4*c - 29. Let l be o(c). Sort 3, l, -3 in descending order.\nAnswer: 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 12. What is the remainder when 45 is divided by h(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.65 - -0.2.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*m + 59 = 0, -2*g - 5*m + 11 + 40 = 0. Suppose -g + 79 = h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.579 - -0.079. Let f = 36.48 + l. Let d = -0.11 - -1.11. Which is the smallest value? (a) f (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = -k - 2, -3*u = 5*k + 56. Let c(w) = -w**3 - 14*w**2 - 14*w - 13. Let z be c(k). Factor z*d**3 + 12*d**3 + 3*d**3 - 50*d**2 - 21*d - 19*d.\nAnswer: 5*d*(d - 4)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s - 18*s = -80 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.222871 - 13.7.\nAnswer: -13.922871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/4*1*(-70)\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 2:16 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = -2 - 9 - 12, 39 = -2*a - 0*v - 5*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90791 - -0.05.\nAnswer: 90791.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 118533 and 2844805\/24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/(-816))\/((-6)\/(-68))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 21. Let h be r(0). Let z(t) = 30*t**3 + 21*t**2 - 21*t. Let u(n) = -3*n**3 - 2*n**2 + 2*n. Determine h*u(w) + 2*z(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 36 = -5*t, 132*j - 130*j = 4*t + 28. Let y = 10 + 1. Solve l + j = 2*b + y, 0 = -5*l + 4*b + 33 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401 is divided by 341.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/15)\/((-3)\/18). Let c = p + 72. Differentiate -c*j**2 + 1 + 48*j**2 - 2 + 36 wrt j.\nAnswer: -40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 829 - 664. Let r be (-8)\/i - 10\/(-330)*6. Which is the closest to -0.4? (a) -6 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 2*m - 1. Let o be k(4). Let w be (85\/51)\/(2\/42). What is the greatest common factor of o and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-8)*(-1)\/2. Suppose 4*b - 3 = -19. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 572 + 145*h + 366 - 930 - 5*h**2 + 302.\nAnswer: -5*(h - 31)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - b - 6. Let q be s(0). Let x(u) be the first derivative of u**2 + 7*u - 10. Determine x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2130 and 2982?\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 50210\nAnswer: 10042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 22 = 3*j - 9, -2*j = 5*o - 30. Solve -s - 2*l = -0*s - j, 2*l + 15 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1033, 5, 33, -3, 1, -1 in decreasing order.\nAnswer: 33, 5, 1, -1, -3, -1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*y - 17*y + 6*y**2 + 8*y)*(1 + y - 1) + 0 + 0 - y**3 to the form k*y**2 + i*y + x + d*y**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - q + 33 = 0, -120*q - 33 = 5*u - 113*q for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**3*t - 2*c**3*u + c**2*t**2*u - 2*c**2*t**2 - 6*c**2 + 6*c*t**2*u wrt u?\nAnswer: -2*c**3 + c**2*t**2 + 6*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0108 - 0.0128. Let h = -86.998 + m. Put 3\/4, -2, 2, h in decreasing order.\nAnswer: 2, 3\/4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3839*i - 657. Let m(d) = -68. Let p(l) = -6*m(l) - x(l). Differentiate p(s) with respect to s.\nAnswer: -3839","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*r**3 + 5 + 18*r**2 - 1211*r**3 + 816*r**3.\nAnswer: 188*r**3 + 18*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-242)\/12)\/((-16)\/18)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 127, 228, 379, 574, 807?\n\"Answer: -w**3 + 31*w**2 + 15*w + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1618\/5 at most as big as -325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.80223 rounded to zero dps?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b80133 + 2?\nAnswer: b80135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/2 - 1477*x\/2 - 34986 = 0?\nAnswer: -1428, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 1177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3)\/j*j)\/j*j**18\/j)\/(j*(j\/j**(-3\/29))\/j*j\/(j\/j**(-20))) assuming j is positive.\nAnswer: j**(3094\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 2:31 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 631*g**2 - 48 + 96.\nAnswer: -631*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3)*(-39)\/(-13). Suppose -k + n = -0*k. Solve k*g = -4 - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*m + 6 = 0, -12*x + 2*m = -8*x. Let g(q) = 3*q + 6. Let k be g(x). Let 32\/3*n - 4\/3 - 77\/3*n**2 + 49\/3*n**k = 0. What is n?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 17 - 2 + 0*m - m.\nAnswer: -5*m + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 581 and 62333.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2253 = -6*z - 2175. Solve 11*v = -z - 31 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 526*w**5 + 1895*w**3 - 353*w + 3448.\nAnswer: 10520*w**3 + 11370*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4160 = -2362. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000828 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 0*m = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*-24*(-39 + 153*(-154)\/(-594)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 - 54*v**2 - 2*v - 28. Let c be x(-18). Solve -20*y = 12 + c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53011 + -11?\nAnswer: -53022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3 + 1. Let x = k + 1. Find the first derivative of -x*h + 3*h - h - 4 - 4*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 383859452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.9 - 27.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 11*h + 16. Let j be t(6). Let u(k) = -k**2 - 13*k + 8. Let a be u(j). Let n(q) = 0*q - q - 4 + 0*q. Calculate n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 750.7 and 0.0815.\nAnswer: 61.18205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j**2. Let a(s) = -7*s**2. Let v(b) = -11*a(b) + 6*l(b). Let f(h) be the first derivative of h**3 + 4. Give f(v(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348 + -229. List the prime factors of d.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99885700 to the nearest 1000000.\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) 918\/11 (c) 0.08 (d) 0.139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24472*o**3 + 11800*o**3 + 11757*o**3.\nAnswer: -915*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 7, h: 1, e: 2}. What is prob of sequence tzh?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 18*s**2 + 9*s - 6. Is b(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 3. Let t be (-4)\/6 - p\/(-6). Find j such that t + 2\/5*j**2 + 0*j - 2\/5*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*v + 84 = 0, -8*y - v = -4*y - 72. Suppose -4*t = -y - 77. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f - 0. Which is the closest to 0.3? (a) -0.1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 20 = -6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -270*x**3 + 2*x**4 + 301*x**3 - 1 - x**4 as d*x**3 + j*x**2 + g + r*x**4 + f*x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, e: 3, a: 3, x: 7}. Give prob of sequence eaaa.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19606309 and 266?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 105192165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20450640 and 2442.\nAnswer: 224957040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p**2 - p**2)*(0*p - 3*p + p) - 1 - p**3 + 1 + 727*p**3 + 402*p**3 - 1566*p**3 - 6*p**2 + 6*p**2.\nAnswer: -434*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -a. What is the remainder when a is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1050)\/sqrt(6))**2.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 51375*x + 3288058. Give d(-64).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*u + 12 = -z, -z = 5*u + 15. Let k(a) = a - 27. Calculate k(z).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f + 21 = 4*m, -3*m + 2*f + 10 = 0. Let t = -800 + 800.5. Suppose 0 = 3*r + 3 + 9. What is the smallest value in t, -1\/4, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + d**2 + d + 1. Suppose 4*m = 16, 4*m - 16 = 2*a + m. Let g be a - (-8)\/(-2 + 4). Calculate f(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2342579, -4685147, -7027705, -9370253?\n\"Answer: 5*b**2 - 2342583*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (2 + 1 + (2 - (-4 + 0)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -3*c**5\/10 + 9*c**2. Let p(g) = -g**2 - 10*g + 36. Let v be p(-12). Let j(m) = -8*m - 2*m + v*m. What is j(a(f))?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -55768, -0.2066?\nAnswer: -0.2066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 364667.5498 plus 5?\nAnswer: 364672.5498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/240 and -9\/552839?\nAnswer: 132681360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 825.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:52 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-13 - -3 - -10) + -13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + 200. Calculate the remainder when y is divided by (-117)\/429 - 1390\/(-55).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/75 and (-192)\/(-36) + 1\/(-5)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -9686?\nAnswer: -967a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n - 42. Let b be d(19). Suppose -2*i = 5*h - 20, -b*i + 11*i + 16 = -2*h. Factor -3\/5*m**h + 0*m - 6\/5*m**3 + 0.\nAnswer: -3*m**2*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 402462*a**2*r**6 + 56565*a**2*r + 2*a**2 - 3*r**2 wrt r?\nAnswer: 48295440*a**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8211)\/(-322)*(0 + 5 + -8*8\/192)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0*n + n - 176*n**2 + 263*n**2. Let b(z) = 2*z. What is p(b(s))?\nAnswer: 348*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 1000. Let x(z) = -2*z. What is b(x(l))?\nAnswer: -4*l + 1000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -289*q. Let j(f) = 2085*f. Calculate j(i(o)).\nAnswer: -602565*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n - 1. Suppose 33*o - 35*o + 3*i + 11 = 0, -i = -4*o + 7. Let p(y) = 2*y**2 + 7*y + 7. What is o*p(h) + 6*d(h)?\nAnswer: -4*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k\/(((k\/k**(-1\/7))\/k)\/k))\/k)\/(k*k*(k*k**(3\/4)*k)\/k*k))**(-25)\/(((k*k**(6\/5))\/(k*k*k**(-1\/3)))\/(k\/k**0*k)**(2\/7)) assuming k is positive.\nAnswer: k**(19891\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -6?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 7 - 2*o + 5*o + o**2. Let b(f) = 3*f**3 + 3*f**2 - 2*f + 1. Let d be b(1). Calculate c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17720736997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333 by -24.\nAnswer: -111\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43729*f**2 + 14566*f wrt f?\nAnswer: 87458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 616\/40 + (-4)\/10. Let u = v - 15. Suppose -2*x**2 + 0*x + 2 + u*x = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3820697 and 9428.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 21929011972 + 21929011972.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 7*y + 1. Let k be (-94)\/(-47) + -2*1. Suppose -4 = -2*h + 8. Let q = h + k. Determine n(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18351 - 18351.1. What is the third biggest value in 127, s, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 - 249 - (1 + -2 + 2 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d + 5*d + 8*d - 42*d + 8*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 8*i**2 - 9*i - 12. Determine u(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680720 is divided by 8140?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040597 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/2 (b) -1\/182 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(45\/(-33)) - (-8)\/20\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5132 (base 7) in base 2?\nAnswer: -11011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 4580 - 4554 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = -62. Let h = j + 90. What is the highest common divisor of 224 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 715*p**8\/56 - 91*p**4\/12 + 5*p + 27. What is the third derivative of c(z) wrt z?\nAnswer: 85800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5 = n, -12*n + 8 = -4*y - 10*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -671712, -1343451, -2015218, -2687007, -3358812, -4030627?\nAnswer: -4702446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*k - 7*k - 1336, -t = 5*k - 1354. Does 37 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 227*g**2 - 112*g**2 - 111*g**2 to d + p*g + c*g**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**6 - 719632*j**3 - 3223831*j**2?\nAnswer: 120*j**3 - 4317792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322025833 to the nearest integer?\nAnswer: 17945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27298177\/156 + -174989. Calculate the common denominator of 46\/351 and h.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 9*l**2 - 3*l - 6. Let n be k(-9). Is (-139395)\/(2 - 7)*7\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 40. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/6 - 3*f + 1. Let m(q) be the first derivative of p(q). Let w(i) = i + i - 3*i. What is w(m(d))?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -16. Suppose 4*r - 3*r = -3, -15 = 4*d - n*r. Let h(l) be the second derivative of -l**5\/20 - l**4\/2 + l**3\/6 + 2*l**2 + 34*l. What is h(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2 + 30\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2. Let a(q) = q**2 - q + 1. Let c(v) = 3*a(v) - 2*h(v). Let r(i) = 2*i + 16. Let z be r(-7). What is c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -15 - 8. Let x = r + -11. Let c = -210 + 256. Calculate the remainder when c is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -354*j - 598. What is the units digit of q(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 916218 divided by 8.\nAnswer: 458109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j**3 + j**2 + j + 10. Let g(w) = 3*w**3 - 2. Let t(a) = -5*g(a) - y(a). Let r(x) = 19*x**3 - 17*x**2 - 17*x. What is 6*r(m) - 102*t(m)?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 6*d**2 + 13*d + 15. Let f(i) = i**3 + 3*i**2 + 6*i + 7. Let t be (2 - (-10 + 2))\/2. Let y(s) = t*f(s) - 2*r(s). Is y(4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8762*y = 8752*y - 30. Sort 0.5, -481, y.\nAnswer: -481, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12671870 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewgekfku. What is prob of sequence wfu?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 90\/27*(-24)\/10. Let j be 1\/((o\/(-4))\/8). Let c be (-2)\/j*(2 + -20). Solve k - c = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 16.2986 milligrams?\nAnswer: 0.0000162986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -2 (c) 17 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -61, -141, -263, -433, -657, -941?\n\"Answer: -j**3 - 12*j**2 - j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2)\/p*p*p*p\/(p*p*(p\/(((p*p*p*p**1)\/p)\/p*p))\/p)*(p*p**(-1\/4))**(34\/5))**(23\/4) assuming p is positive.\nAnswer: p**(1633\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3874500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/(-11) - (-12)\/66. Is -1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5269 is divided by 480?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*d - 4, 3*y + 2 = -d. Factor 2 - 4*i + 4 + y - 2*i**3 + 5*i**2 - 6.\nAnswer: -(i - 1)**2*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-17)\/(1428\/48).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-8)\/56)\/1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 637?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 103*g**2 - 23*g + 77. Let m be r(4). Let x = 2329 - m. What are the prime factors of x?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4768*w**5 - 30*w**4 - 8*w**3 - 59912715*w.\nAnswer: 95360*w**3 - 360*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 12:20 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t - 100 + 196 - 4*t**2 - t**3 - 97 in the form l*t**3 + f + o*t + b*t**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307b17 (base 14) to base 16.\nAnswer: 18f229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soovoqsnvoxov. What is prob of picking 2 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803354?\nAnswer: 2, 3, 7, 42937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3494880 by -270.\nAnswer: 12944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u. Let d(c) = 2394*c**2 - 55*c - 1. Let r(l) = 2*l**2 + 11*l. Let b(p) = d(p) + 5*r(p). What is b(f(x))?\nAnswer: 21636*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2, -5, 4.\nAnswer: -5, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/7*(-49)\/(-1). What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 536385, 1072880, 1609361, 2145822, 2682257, 3218660, 3755025, 4291346?\n\"Answer: -w**3 - w**2 + 536505*w - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(110 + 7*z - 110 + (2*z + 4 - 4)*(2 - 2 - 2) + 2*z + z - 2*z + z - z + 2*z) + (-1 + 1 + 2)*(-2*z - 2*z + 3*z) - 2*z + 3*z + 0*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 3*l - 10. Is 6 a factor of x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(28)*5)**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 443844048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5236, -20932, -47092, -83716?\n\"Answer: -5232*c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04762838 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 14322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.9 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*n - 18 = -2*n, 5*j + 4*n = 46. Let l = -9 - -22. Suppose -l*b + 54 = -j*b. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(8)\/sqrt(4) + sqrt(2)))\/(sqrt(63) - sqrt(63)*2).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9137257, 9137245, 9137227, 9137203?\n\"Answer: -3*w**2 - 3*w + 9137263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)\/b)\/b**(3\/14) assuming b is positive.\nAnswer: b**(-79\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**2 + 69100. Let t(a) = 251*a**2 + 6*a - 6. Let c(q) = -q + 1. Let z(h) = 6*c(h) + t(h). Calculate y(z(w)).\nAnswer: 502*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29908762 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755374 is divided by 1340?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*b = -1798*b + 47872 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q. Suppose 5*u - 180 + 0 = q. What is the remainder when u is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 397*t - 11423. Calculate h(224).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -13, -9, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - (-2 + 3 + 1). Let l be 6*(-14)\/(-84)*3. Solve 0 = l*j - 5*j + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/20)*u)\/u**(-5) assuming u is positive.\nAnswer: u**(123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 43*z**5\/10 + z**3\/3 - 5*z**2 + 7*z + 106. What is the second derivative of x(s) wrt s?\nAnswer: 516*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.3074 + -0.3074. Which is the closest to u? (a) 0.1 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122013 (base 4) in base 16?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7237 - -22?\nAnswer: 7260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, c: 1, b: 4, j: 4}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*q - 51*q + 2*q - 7*q - 6*q + 163 wrt q?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-12)\/(-122559)) + 2. Suppose -41*x + y = -36*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k - 10 = 0. Let t be ((-16)\/48)\/(k\/18). Suppose t*w + 0*w - 6 = 3*d, 0 = -2*w + 4. Solve 5*b + 11 = g, -2*b + 0*b - 6 = d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -27. Let t = s + 86. Suppose 2*u = -9*w + 4*w + t, 5*w - 96 = -4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81815 + 16015 = -94*i. Is 35 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2656 divide 159245792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -2\/5, 5, -0.01?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/5*75\/(-5). Let h be (-13 - -2) + 3 + 7. Let j be ((-60)\/g)\/(h + (-2)\/(-6)). What is the highest common divisor of j and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/10)\/(4\/1200). Suppose 0 = -4*k - k + p. Calculate the highest common divisor of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Suppose 11*a - 1048 = 7*a. Let f(g) = -306*g - 1 + a*g + 1. Calculate f(u(k)).\nAnswer: 88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181071 and 4059.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 58. What is the third biggest value in j, 54, 5\/4, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:10 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(3*sqrt(108)\/sqrt(12))*5.\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349775 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:19 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -246 - -267. Let x(n) = 2*n - 9. Let s = 10 - 4. Let r be x(s). Calculate the greatest common factor of c and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Suppose 2*j - 4*j = -4*n - 44, -4*j + 97 = -q*n. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 119 = -155 + 238. Suppose 1\/8*g - 1\/4*g**h - 1\/4*g**2 + 1\/8*g**4 + 1\/8 + 1\/8*g**5 = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = y + 10, 280*b = 277*b - 5*y + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(20)\/(sqrt(576)*-2).\nAnswer: -sqrt(5)\/24 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 18 = -3*t, 2*g + t - 22 = 6*t. Suppose 2*x - g*o + 2*o = 124, o - 293 = -4*x. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-2))\/((-2)\/(-4)). Is (3\/9)\/((7\/4323)\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 6 (c) 3 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*2\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1*sqrt(88) - sqrt(88) - sqrt(88))*3)\/((sqrt(96)*1 + sqrt(96) - sqrt(96))\/sqrt(12)) + 1).\nAnswer: -2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 359 - 351. What is the third biggest value in -1, d, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = 3*s - 553. Let a = s - 23227\/68. Calculate the common denominator of a and 17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3295279 is divided by 1098413.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + t + 14 = w, -8 = -3*w + 2*t. Suppose 2*s = 5*s - c - 791, w*c = s - 271. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -666562.3 and -0.4.\nAnswer: 266624.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2907\/71 greater than or equal to -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107689 or -107681?\nAnswer: -107689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 + 1 = 0. Let u(i) = -10*i**s + i - 6 + 51*i**2 + 5. What is the tens digit of u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (5 - (-10 - -20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v + 100. Let s be g(11). Let t = 19\/60 - 1\/15. What is the nearest to t in s, 4, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087) - sqrt(63))\/sqrt(9) + 1.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -42*v**2 - 18*v + 18. Let g(i) = -12*i**2 - 5*i + 5. What is 18*g(b) - 5*z(b)?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 - -264. Suppose 4*o + 15 = -5. Which is greater: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-64))\/((-30)\/8*1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 305 (base 10) to base 12\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 549 + -542. Which is the third smallest value? (a) y (b) -1 (c) 0.19 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 80.78214 decades?\nAnswer: 9693.8568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.892 + -0.108. Let x = -48 - k. Suppose 5*j + i = j + 13, -2*j + 4*i - 16 = 0. Which is the closest to 1\/4? (a) 0.4 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 28*j**2 + 1 - 16*j - 94*j**2.\nAnswer: -125*j**2 - 16*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6549*o + 57. Let u be j(-7). What is u rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008393663444 rounded to four dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 + 31311\/(-2485)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-90)*-50*6\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46.787*64\nAnswer: 2994.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 2\/61 (c) -1 (d) 0.3 (e) 1\/5 (f) 1599\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1973, -1981, -2011, -2075, -2185, -2353, -2591?\nAnswer: -2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 250, 407, 574, 757, 962, 1195?\n\"Answer: k**3 - k**2 + 153*k + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10206 - 10205. Let p be -1 - (1056\/(-273))\/4. Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-10)*(-12)\/192*-520?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 785*m + 19627. Calculate h(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -2*s. Let u(w) be the second derivative of w**4\/12 + 10*w**3\/3 + 18*w**2 - 27*w - 2. Let o be u(-18). Solve n + n + s = o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -25. Solve 0 = 8*v - 4*v + 4*y + 4, 0 = 2*v + z*y - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.1, -0.0212806531?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - 1\/(-1)) + 2. Let l be ((-12)\/(-18))\/(j\/6). Is 31*l*(1 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1122, -9, 17\/6, 0.3, 0.12?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -81. Suppose 3*u + q = 4*d, -u + 7 = 4*d - d. Solve d*a = -2*h - 2, -6 = 5*a - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.91 + 0.64. Let v = w - -0.05. Let k = -0.207 - v. Round k to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 - 1\/(-2). Suppose w = -4*n - 3*b - 30815, -n - 7675 = -3*b - 2*b. Let h = -4400 - n. What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14404, -14777, -15156, -15553, -15980?\nAnswer: -16449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, z: 2}. What is prob of sequence iz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -7, 3\/4, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7 - 3*u - 5*u + 0*u - u**2 + 3*u. Suppose -30 = 2*d + 3*d. Determine q(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 2, 5, -1.\nAnswer: -6, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-13*p - 333 + 87 + 60 - p) as i*p + x and give x.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*t - t. Let h be (-32)\/t - (-2)\/(-3). Suppose -5*g + h*g = 4*r + 12, -2*r = -5*g + 16. Sort g, -5, 1 in ascending order.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and -0.909.\nAnswer: -0.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yktytywtwsoywyy. What is prob of picking 1 k and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 9*q. Let a be g(7). Let n be a\/24 - (-2)\/(-8). Factor n*c - 1\/3*c**3 + 0 - 1\/3*c**2 + 1\/3*c**4.\nAnswer: c*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303413342 (base 5) in base 10?\nAnswer: -1232347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -200 - 1616?\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/12169 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:24 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10841 = -2*b, 48*y + 8671 = 52*y - b. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.1 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -21. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197365996.\nAnswer: 2, 299341499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o. Let d(h) be the first derivative of -h**2\/2 + 1. Let m(w) = -4*d(w) + n(w). Let r(u) = 94*u - 46*u - 48*u + u**2. Determine m(r(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3*f, -93*f - 18 = 4*x - 95*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) 0.051503 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8 and ((-162)\/(-84))\/(20\/14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 9. Let l(i) = 4*i**2. Determine l(z(r)).\nAnswer: 36*r**2 + 216*r + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10670170*p**3 + 48213*p**2 - 4383. Let x(a) = -4870*a**3 + 22*a**2 - 2. Determine -2*t(c) + 4383*x(c).\nAnswer: -4870*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(4\/3)*a*a**(2\/7)*a**1\/(a\/a**(2\/9)) assuming a is positive.\nAnswer: a**(305\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68132*m**3 + 27532.\nAnswer: 204396*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**9\/5040 - 3*l**8\/11200 - l**7\/2100 - l**4\/2 + 2*l**2. Let s(z) be the second derivative of p(z). Factor s(m).\nAnswer: 3*m**2*(m - 1)*(5*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * 1053648.\nAnswer: 1791201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 - -127. Differentiate 141*i**2 - 13 - 141*i**v + 5*i**3 + 12*i**3 wrt i.\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 235a?\nAnswer: 236a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1142 + 1?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p - 5. Let c(z) = -37*z - 80. Let t be c(5). Let i = 258 + t. Let h(u) = -16*u + 7. Let f = -16 - -11. Give f*h(a) + i*w(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/21 + 14040470*r**2\/21 + 4011562*r\/3 + 14040466\/21 = 0.\nAnswer: -7020233, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(3\/16)*g*g)\/g)\/g**(-9))\/(g**(3\/4)\/g*g\/(g\/(g\/g**(-7)))) assuming g is positive.\nAnswer: g**(55\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 - 4 = 0. Suppose 57 = 5*l + 4*j, -5*j - 6 = -3*l + s. Let i = l + 66. Calculate the highest common divisor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.7060199?\nAnswer: -0.7060199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100001 (base 2) to base 8.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23598376 to the power of 1\/2, to the nearest integer?\nAnswer: 4858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6626242464.342033 + 6626245409. Let v = -2944.6 + h. Let x = 0.058 - v. What is x rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -104, -229, -404, -629, -904, -1229?\n\"Answer: -25*x**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let o = 2.99 + 0.01. Which is the closest to 0.3? (a) r (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37383919 and 57979?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b + 1. Let f(r) = r**3 - 7*r**2 - 8*r + 10. Let h be f(8). Let o be ((-4)\/6)\/(h\/15). Let w be u(o). Solve 0 = -t + w - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.19 - 1.168. Let y = k + 0.078. Put y, 3, 1 in increasing order.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290 * 0.3\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-133))\/(-6) + (-216)\/21 - -35.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 = 2*h + 8, 14 = 5*h + b. Let l(j) = -4*j + 3*j**h - j + 19*j - 8*j + 13. What are the prime factors of l(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -0*h - 4*x + 28 - 10, 0 = -18*x + 15 + 39 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 - 185. Let t(l) = -2641*l**2 + 1322*l**k + 1317*l**2 - 4*l. Let a(m) = m**2. Give a(t(d)).\nAnswer: 4*d**4 + 16*d**3 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3040 and -39\/1900?\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:04 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 13*p**2 + 41*p + 1021. Determine y(-15).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - u**2 + u**2 + (-4 + 1 + 6)*(5*u**2 + 0*u**2 - 3*u**2))*(2 - 1 + 0).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.098986318 - 0.09897. What is a rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 0)\/(-1) - -16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + r. Let j be n(-1). Suppose -5*t + j = -32. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6 + 10*y**2 + 20*y**2 - 6. Let n(b) = -2*b. Calculate v(n(l)).\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485457?\nAnswer: 3, 7, 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2040 is divided by 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 1034029636.\nAnswer: 1034029641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/3 + 62*v**4 + 2558*v**3\/3 + 1928*v**2 - 2557*v\/3 - 1990 = 0.\nAnswer: -10, -3, -1, 1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4674 - 10*i + 12*i + 165*i**2 - 4676)*(4 - 1 - 1)*(2 + 1 - 1) to n*i**2 + g*i + t and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c - c - c)*(4*c**2 - 5*c**2 + 3*c**2)*(-6*c**2 + 5*c**2 + 0*c**2) + (4*c**4 - 296*c**2 + 296*c**2)*(-9*c + 3*c - 5*c).\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 15910647?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*m - 3*u - 23, -66*m + 3*u - 459 + 486 = -62*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11561.57 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 395*c + 14 = 393*c, -5*c + 25 = v. Suppose 0 = -0*x - x + 16. Calculate the remainder when x is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4\/3 - 6136*l**3\/3 + 2048*l**2 + 6136*l\/3 - 6140\/3 = 0. Calculate l.\nAnswer: -1535, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from hsvwjvj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 276, 298, 336, 396, 484, 606, 768?\n\"Answer: j**3 + 2*j**2 + 9*j + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 13. Suppose w*b = -4*o - 294016, 3*b = -o - 4*o - 294020. What is b rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 8:41 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5882*i**2 - 7855*i**2 + 13739*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)*s**9*((s\/s**(1\/10))\/s*s)\/s*s**(1\/2)\/s*s*s*((s**(-2\/3)\/s)\/s**(-8))**(-3\/13) assuming s is positive.\nAnswer: s**(-4\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/9 - (-62)\/8 - 12\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3569118 is divided by 4950.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -616*f + 16010. Give i(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136616275*a**3 - 2*a + 101055429 wrt a.\nAnswer: -819697650*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4269486.07969136 + 4269483. Let l = w + 0.07969216. Let h = l - -3. Round h to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*m + 3*x - x, -5*x + 26 = -2*m. List the prime factors of m\/4 - (-74 - 3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 65*o + 107. Calculate the remainder when p(-15) is divided by 71.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11*d + 7*d - 56*d - 2.\nAnswer: -60*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, 249 in descending order.\nAnswer: 249, 3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n + n)*(-166 - 97 - 830)*(n + 5*n - 4*n).\nAnswer: -8744*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**2. Let a(g) = -9*g**2 + 8*g + 18. Let s(z) = -7*z**2 + 7*z + 12. Let w(l) = 2*a(l) - 3*s(l). Calculate w(p(c)).\nAnswer: 192*c**4 - 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 2 (b) 13 (c) -1173362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.12 + -9. Let u = o - -1.88. What is the biggest value in -1\/4, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-16\/9))\/p**7 assuming p is positive.\nAnswer: p**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i + 85*i - 42*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2177*h**3 - 48*h**2 - 11*h + 9647 - 9647 wrt h.\nAnswer: 13062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 45*s - 91\/2.\nAnswer: (s - 1)*(s + 91)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -712, -5649, -19048, -45139, -88152, -152317, -241864?\n\"Answer: -705*y**3 - y**2 + y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*h - 1692 - 126 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 150. Sort -2, w, 5.\nAnswer: -2, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -27. Suppose -f - 28 = -4*j, z*f - 10 = -6*j + j. Let g(x) = x**2 + 9*x - 5. Is g(j) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 4*l**2 - 2*l - 4. Let j be c(-4). Put 21, -3, j, 5 in descending order.\nAnswer: 21, 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96693.91l in millilitres?\nAnswer: 96693910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 - 1. Let d(x) = 5*x**3 - 11*x**2 + x - 6. What is 2*d(p) - 11*q(p)?\nAnswer: -p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 34 + 39*i - 11*i + ((-2 + 4 - 3)*(5*i - 3*i + i) - 5*i + 5 - 5 + 1 - 1 + 3*i)*(-3 + 2 - 1) to the form h*i + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399*z + 393*z + 9858 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 15, -1, 1655, -4, 1.\nAnswer: -4, -2, -1, 1, 2, 15, 1655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1165*x**2 - 15169*x - 307. Calculate r(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 558 and 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1)\/(-475*33\/1650).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2061 - 2052*c + 3065 + 3114*c + 2668*c wrt c.\nAnswer: 3730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/3, 44, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35574 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s = -37*s - 224. Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -z + 3*b + 916, 11*z + 4*b - 9635 = 0. Calculate the least common multiple of 13 and z.\nAnswer: 11401","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - -18. Suppose 30 = 2*v + 4*a, -4*v - a = 2*a - 70. What is the remainder when l is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3224218 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 33*v - 15. What is r(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1041 + 209 = -16*s. Suppose -39*n = -s*n + 51389. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 268 - 186.4. Let m = -82 + u. Which is the nearest to 0.4? (a) m (b) 3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/54 or -0.09?\nAnswer: -7\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90860 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120 + 122. Suppose 0 = 2*x + 5*a - 4, -x + 5*x - 8 = 5*a. Solve -o = -2*o - 2*g + x, -5*o + k = 2*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102073141 - 0?\nAnswer: 102073141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(-3)\/14 + 2 + 633\/21. Which is smaller: 29 or b?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60, -102, -132, -144, -132, -90, -12?\n\"Answer: d**3 - 49*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(3)*2 - sqrt(3)) + 6*(sqrt(18)\/sqrt(6) + sqrt(3)))**2 + -3)*6*2*-1.\nAnswer: -6240 - 1248*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**3 + 757524*p**2 - 1515057*p + 757530 = 0?\nAnswer: -252510, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -26. Suppose -3*n = 3*t - j, 1 = -2*t - 5*n + 13. Let m(u) = -6*u. Let s(c) = c. Give t*m(q) + 5*s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4933988352 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-15 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1648 and 2575.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14869 - -15112. What is the least common multiple of t and 972?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831722471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 4*x - 5. Let g = -60 - -73. Suppose 4*f = 6*f - 5*n + 17, 2*f = -n + g. What is t(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (0 + sqrt(200))*3 + 5 + -5*(2*sqrt(2) + -5))**2.\nAnswer: 4960*sqrt(2) + 7044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 + 216. Suppose 4*w + y + 43 = 5*w, 2*w - s = -4*y. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/5 + 6 - -16. Suppose -33590 = -r*b + 4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 - 28*k + 37. Let r(b) = b**2 - 7*b + 9. Let x(a) = -9*r(a) + 2*s(a). Let o be x(-6). Let y = -17 - o. Let q(w) = w**2 - w - 3. Calculate q(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -90. Let k(v) = 2*v**2 + 12*v + 16. Let h be k(-5). What is the greatest common factor of x and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Calculate the remainder when 818 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 166?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 4:49 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85 times 3454625?\nAnswer: 6391056.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1537365 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98495386 to the power of 1\/2, to the nearest integer?\nAnswer: 9924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 4.28.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(612)*-5 - 5*(-3*sqrt(17) - sqrt(17))) + ((sqrt(170) + 1*sqrt(170))*-4)\/(sqrt(110)\/sqrt(44)))**2.\nAnswer: -68952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t**2 + 13*t + 13. Let y be u(-1). Sort 3, -4, y.\nAnswer: y, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (-5 + 15)) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r - 1. Let w be h(-7). Let j be (2\/45)\/((-11)\/w). Which is the second smallest value? (a) 0.4 (b) 5\/6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 1:49 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*v - 48*v + 12 + 10.\nAnswer: -2*v + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -171837 divided by -939\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:08 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/4032687 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*f + 2, 53*f - 48*f - 7 = -2*h. Which is greater: -22 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(11\/4)*q)\/(q*q**5*q)*(q*q\/q**(5\/4)*q)**(-2\/7) assuming q is positive.\nAnswer: q**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -523348\/31 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Put 24, 47, 18 in descending order.\nAnswer: 47, 24, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/5)\/(-8))\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u = -14*u - 31*u + 42. Let r = 7 + -7. Put u, 3, r in increasing order.\nAnswer: u, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1928754\/929 at most -2076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -21\/2*n**4 + 3*n**2 - 3\/2*n**5 - 15*n**3 + 33\/2*n + 15\/2 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2)\/sqrt(6) + (sqrt(19) - (sqrt(76)*-1)**2).\nAnswer: -76 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -1056, -1565, -2072, -2577, -3080?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -15*j**3 + 2*j**2 - j. Let q be b(2). Let l = -424 - q. What is l rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((5 - 3)\/122). Let j = n - -248. Suppose j = 6*a - 3*a. What is the highest common factor of a and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -148 - 136. Suppose 5*o + 2*c = m, 8*o - 66 = 4*o + 3*c. What is the smallest common multiple of 40 and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20163 - -20162.983. What is the nearest to 1\/8 in 3\/5, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*h + 263. Suppose -h*t = -125*t - 1550. List the prime factors of t.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3)\/((-296)\/(-111)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 4*t + 57. Let i be o(0). Let x = i - 55. Solve x*n + 5*v = 2 - 24, -3*n - 3*v - 15 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1544154 by -8438.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from tote.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 39 + 9263\/(-236) - 2*21\/(-48)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36721 + -36724. Suppose -3*l = -i - 2, 4*i - 14 - 10 = -4*l. Which is the fourth smallest value? (a) i (b) -4\/3 (c) h (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(135)\/sqrt(5))\/sqrt(9) + (-2*sqrt(75)*1)**2 + -4.\nAnswer: sqrt(3) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 76.492. Let x = 0.26 + r. Round x to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 5, 20, -195\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 24 = 7*t. What is the remainder when 75 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**3\/6 + 2*w**2 - 7*w + 1. Let m(o) be the first derivative of f(o). Determine m(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*(sqrt(104) - 2*sqrt(104)) - sqrt(104)))\/(6*2*sqrt(2)*1*-4).\nAnswer: -7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 + -257. Let h = p + 57.5. Which is the closest to 0? (a) -22 (b) -2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2486 - -6?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 1036*i**2 + 0*i + 1063*i**2 to c*i + b*i**2 + n and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1194538488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -473400 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 10784308*i = 10784312*i - 34, 0 = c + 4*i - 10 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/5*15\/(-3). Let v be (-142)\/(-9) - u\/18. What is the greatest common factor of 144 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2864 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 - (-3020)\/(-15884). Let q = -2855\/3971 + k. What is the common denominator of q and 35\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*p - 3. Suppose 4*d - 272 = -p*q, d = -2*q + 68 + 110. Calculate the remainder when 16 is divided by 4\/(-14) - q\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 158, -8, 0.5, -2\/3, 2\/119?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1382 + -718. What are the prime factors of c?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/120 - (9 + (-63)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3517 is divided by 153?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69917, 69880, 69811, 69704, 69553?\nAnswer: 69352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/20 and 40\/17.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13\/26 + (-39)\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/4 + 4*z. Let j(w) be the first derivative of -w**2 + 2. Calculate j(i(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(5\/120*-3) - -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -105 - (42 - (-72 - -136))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16228112 < 16228123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 5*y + 393331. Let h be t(0). Suppose -720459 = 4*f - m, -4*m + 33115 - h = 2*f. Is 1\/((-5)\/2) + f\/(-110) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87351.28*-0.1.\nAnswer: 8735.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 5*a - 59, -5*d + 159 = -4*a. Let z = d + -26. Suppose v - z = -2*y, 4 = 3*v + 1. Solve 4*r + 21 = -5*g, -3*r + y*g - g - 11 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -527, -1263, -2327, -3731, -5487, -7607?\nAnswer: -10103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2. Let m be b(1). Calculate the greatest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11691690 divided by -5\nAnswer: -2338338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by 19148.\nAnswer: 31\/9574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135.868 + 0.132. Let s = c + -476. Let p = 339.9999851 + s. Round p to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 352\/33)\/((-4)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 0.04961\nAnswer: 18.04961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p**(-1\/8))\/((p**(-2\/21)*p)\/(((p*p**7*p)\/p)\/p)) assuming p is positive.\nAnswer: p**(1045\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24261660 divided by 358\nAnswer: -67770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n + 3*i, 0 = n - 5*i. Solve 0 = 4*a - n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64770.32 to the nearest 10.\nAnswer: 64770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09613 minus 977745406.7?\nAnswer: -977745406.60387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144568217 divided by 2.\nAnswer: -144568217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2932135\/75 - -5) + (-6)\/45. Round l to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-7)\/y)\/(y*y**(-3\/4)*y))\/(y**(1\/8)\/y**4))**47)**(-32) assuming y is positive.\nAnswer: y**8084","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:28 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 960*y + 1239 wrt y.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**4\/3 + 31*l**3 - 397*l**2\/3 + 73*l + 27 = 0.\nAnswer: -27, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3649128 and 521304.\nAnswer: 3649128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -22*l**3 + 19*l**2 + 170*l - 407. What is a(2)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -1\/4 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/6 - 223*k. Let r(c) = -3*c**2 - 14*c. Give p(r(w)).\nAnswer: 18*w**4 + 168*w**3 + 392*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8010797?\nAnswer: 461, 17377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-1))\/(-10) + (-16498)\/(-10). Let y = b - 937. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 1 w when three letters picked without replacement from qqzcccczcwqzwiqcqcq.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u + 43*u - 17 + 29 - 16*u - 25 + 13.\nAnswer: 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-5 - 5 - (-187)\/22). Solve -5*u - g + 1 = -2*l, -2*u - 2*l + 10 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41105092*j - 42304335.\nAnswer: 41105092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4, 9, 2\/7, -3.\nAnswer: -4, -3, 2\/7, 2\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*y = -27, c = 3*y - 6*y - 9. Let k be (-4)\/18 + (-40)\/c. Let n = -1499 - -1501. Solve -k*l = -0*l - n, -2*f = 3*l - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 7 + 7 + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, 21, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 4*f + 5. What is the units digit of 1 + f - (0 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1\/2, 335\/1156, -3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (37310\/4018)\/((-85)\/714)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2662)*-2*-6 + sqrt(2662))\/(sqrt(33)\/(sqrt(3) - (sqrt(3) + (sqrt(3) - 1*sqrt(27) - sqrt(3))))).\nAnswer: 1287*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - y - 25*y**4 + 54*y**4 - 2*y**2 - 27*y**4 + 2*y**3 in the form r*y + a*y**2 + o*y**3 + f*y**4 + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6339*v - 2621*v - 3282*v + 1401*v to the form p + y*v and give y.\nAnswer: -10841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:27 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*t, 3*t + 243 = -5*m + 4*t + 462 - 272 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947600?\nAnswer: 2, 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/(5 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 48.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*(-36)\/(-8). Suppose -t*f + 205 = u + 2, -4*u - 327 = -5*f. Let k = f + 12. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/10)*u**0 assuming u is positive.\nAnswer: u**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*g**5 + 3386*g**4 + 28484*g**3 + 34264*g**2 - 18480*g = 0. What is g?\nAnswer: -330, -7, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6011 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9206.42 years in decades?\nAnswer: 920.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119, -461, -1029, -1823?\n\"Answer: -113*x**2 - 3*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 + -4 - (7 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 11*w. Let a be g(11). Suppose -4*l + 3*l - 13 = a. List the prime factors of (7\/(-7))\/(1\/l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -o + 8358 + 10145, -21*i - o = -194291. Calculate the highest common factor of i and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.640995 micrograms?\nAnswer: 6640.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 17597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -524 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-42)\/(-2394)*(-15)\/15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 3\/22, -2.5, -8, 10?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 163*j**5\/5 + 395*j**2\/2 + 81*j. What is the first derivative of n(r) wrt r?\nAnswer: 1956*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*r**3 - 4 - 63*r**3 + r + 26*r**2 + 14*r**3 - 2*r**4 + 1 in the form y + x*r + b*r**4 + l*r**3 + z*r**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 32*c - 6*c + 15*c)*(5 + 0 - 4).\nAnswer: c**3 + 41*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 + 1. Let g(b) = b**2 - 4*b - 9. Let r = 34 - 15. Suppose r*l + 42 = 4. Let t be g(l). Let c(j) = -11*j**2 - j + 3. Determine t*c(q) - 7*d(q).\nAnswer: 2*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t - 76. Let i be y(7). Do i and 0.0408 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.995 - 6.6149. Let r = m - -0.0199. Sort 0.07, -0.1, r in descending order.\nAnswer: r, 0.07, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n**3 - 12*n**3 - 19*n**5 + (-2*n**3 + 1 - 1)*(-15 + 15*n**2 + 15) + (n + 2*n - 5*n)*(2*n**4 + 4 - 4).\nAnswer: -53*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/(-276))\/(66\/72).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71895653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46471 + 46483. Solve 7*j = 9*t - h*t + 45, -3*j = 4*t - 41 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 61332.\nAnswer: 306660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145406 and 39458?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1827 - -2015. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -35925?\nAnswer: 17962.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/7 + 50994*b\/7 - 2795595\/7.\nAnswer: -3*(b - 16943)*(b - 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2640 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28.61 times 0.5\nAnswer: 14.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**2 + l. Let a = -19 + 19. Suppose o - 3 - 2 = 0. Suppose a = 8*q - o*q - 3. What is w(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 3*j**2 - 2*j - 2. Let l be r(5). Let y = l - -122. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 = 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00094091345 rounded to 5 decimal places?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 422500*n**3\/9 - 205400*n**2\/3 + 23989*n - 22201\/9.\nAnswer: (n - 1)*(650*n - 149)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -12, 5, 1\/2, -6\/5, 1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 8, h: 1, u: 6}. Give prob of sequence huu.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 43*u**2 - 17*u + 7. Let x(p) = -21*p**2 + 8*p - 3. Let b(o) = -6*j(o) - 15*x(o). Is b(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245434.14*3.\nAnswer: 736302.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = 33*h + 75. Let n be (1\/4)\/((-9)\/(-36)). Sort n, h, 0, 11.\nAnswer: h, 0, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 17*z - 2*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3341, 6911, 10481, 14051?\n\"Answer: 3570*i - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1560 and 15?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 + 18*s + 429. Let w(g) = -11*g**2 + 62*g + 1287. Calculate 7*p(q) - 2*w(q).\nAnswer: q**2 + 2*q + 429","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 + 4 - 2) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, 584, 3216, 8364, 16868, 29568?\nAnswer: 47304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:48 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 5*g - 29, -4*u - 3*g = 7. Solve 4*y = -o + 12, -u*o - 2*o - y = -3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1385814 - 1385543.7084. Let n = -268 + u. Let z = -2.3 + n. Round z to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**5 - 5*p**4 + 5*p**3 - 7*p**2. Let g(a) = a**5 - 4*a**4 + 4*a**3 - 6*a**2. Let v(q) = 6*g(q) - 5*n(q). Factor v(t).\nAnswer: t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (92\/(-15))\/(2\/(-36)). Let s = g + -110. Let d = -2\/43 + 47\/86. Which is the nearest to 0? (a) d (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 32 (b) -5\/4 (c) -889\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066 is divided by 89?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1162800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1630*h - 1631*h - 1613*h - 1630*h + 8122*h - 1621*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 1 - 3. Let d(z) = 12*z + 26 - 3*z + 16562*z**3 - 22. Let h be d(b). Round h to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-1 - 0))*114. Calculate the remainder when ((-8)\/12)\/(2\/v) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**3 - 22*j - 38*j + 127*j - 37*j - 30*j.\nAnswer: 43*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25396052 = -154*h + 192500550. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*u**4\/4 - 16539*u**3\/2 + 210204*u**2 + 14719635*u\/2 - 392673\/4 = 0.\nAnswer: -19, 1\/75, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000025728 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.34 + -24.34. Which is the biggest value? (a) 8 (b) -4 (c) 1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 2, -4*w = -4*n - 12. Suppose 0 = -y - 5*z - 10, -3*y - 6*z = -2*z + 8. Sort y, w, -3.\nAnswer: -3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 28466, -1, 1, 22 in increasing order.\nAnswer: -1, 0, 1, 4, 22, 28466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -i - 17, 19*y = 24*y - 2*i - 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -4. Let j be u\/(4 - 14)*0. Suppose 3*l + l - 76 = j. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3775339ml?\nAnswer: 0.0003775339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1051 - 1050. Sort -4, 0, 60, d in decreasing order.\nAnswer: 60, d, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2592) - 1*(sqrt(18) + 2).\nAnswer: -2 + 69*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 37. Suppose 2*k + 46 = 70. Calculate the greatest common factor of z and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311 - 134214130?\nAnswer: -134213314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjj when three letters picked without replacement from kkkfffkfkffqfjffkjfn.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-3)*(-2 - 4\/(-4)). Suppose 0 = 5*u - u - 5*l - 10, -4*l = 8. Solve u = -z + 1 - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88711697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(110) + sqrt(110)*2))\/(sqrt(10) + -2*sqrt(40)) - (4 + (-1 + sqrt(539) - (4 + sqrt(11)*2))))**2.\nAnswer: -14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000085335 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 40. Let x(k) = k**3 - k**2 - k + 12. Give x(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*c - 27*c - 32*c + 17)*(7 - 4 + 4).\nAnswer: 42*c + 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1770 - -1785) + (-9 - (5 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -94, -293, -768, -1657, -3098?\n\"Answer: -23*b**3 - 38*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = 4*f. Let v(k) = -28*k + 8. Is 18 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/4 + 3\/4. Calculate the remainder when 11 is divided by (6\/h)\/(1\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + h. Let b be s(0). Suppose -k + b = -4. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a3 (base 13) to base 8\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 + 2*a - 1 + 1)*(11 - 1 - 23)*(1 - 1 - 1)*((-2 - 2 + 2)*(2 - 6 + 0) - 1 + 1 - 2) to b*a + z*a**2 + d and give b.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 11. Let b = -0.4 - -0.1. Let o = 1\/6283 - -6280\/18849. What is the third smallest value in b, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - 13*u**2 + 2*u**2 + (3 - 2 + 1)*(22 - 4 - 4)*(2 - 2 + u**2) in the form o*u**2 + w*u + l and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 33*u + 33 = 0. Let k(t) = t**3 - 14*t**2 - 4*t + 3. Let g be k(u). What is the common denominator of (-1 - g\/24) + 1 and -19\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1420*519\nAnswer: 736980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**2\/2 + 5*t + 3. Let h be w(-4). Suppose a = h - 3. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = -16. Let f = 12 - u. Calculate the greatest common divisor of f and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upukkuuuuuuuukupu. What is prob of picking 2 u and 2 p?\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5094.509 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-3) - (-28)\/(-30))*1174340\/(-1136) is divided by 187?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrbi when four letters picked without replacement from irrrbrrbrribrrr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 177904?\nAnswer: 177903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27649 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4 + 54*m**3 + 252*m**2 = 0. Calculate m.\nAnswer: -21, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -6*t + 421. Calculate the remainder when 113 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than -55.1093?\nAnswer: -55.1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 606 - 603. Let j(r) = 2*r + 2. Let m(q) = q + 1. Calculate g*m(s) - 2*j(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2666714 + 3.\nAnswer: 2666717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11089 - -11095. Suppose -21\/8*q**2 - 3*q - 3\/8*q**3 + u = 0. Calculate q.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, s: 2, a: 5, r: 1, d: 5}. Give prob of sequence bss.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 3. Suppose 3 = -3*q - 0*q. Let a be 0\/(-2)*(0 + q). Calculate h(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + 1.59. Let m = -5.09 + k. Which is the smallest value? (a) -1 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -795044 - -510904. Round i to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64231 by -37.\nAnswer: 64231\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -14, -41, -86, -155?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2610 - -20385. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqtqqjqqqtqqqtq. What is prob of sequence tjqq?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4032 - 4028. Let i(g) be the first derivative of 0*g**2 - 1\/4*g**6 - 9\/8*g**u + 26 + 1\/2*g**3 + 9\/10*g**5 + 0*g. What is a in i(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/305 and -24\/427.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(1 + 4 - 6)*(23*w**4 - 58*w**4 - 32*w**4 + (-3*w**3 - 3*w**3 + 4*w**3)*(3*w - 3*w + w) + w**4 - 4*w**3 + 4*w**3).\nAnswer: 136*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.0288 times -8\nAnswer: -0.2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 74328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3230.425 and 2.4?\nAnswer: 7753.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - m + 2*m + (0*m + m + 0*m)*(2 - 1 - 3) + m + 4 - 4 - 2*m + 0*m + 4*m + (5 - 10 - 8)*(-m + 4*m - 5*m)*(3 + 2 + 1) to the form r + x*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 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: What is the least common multiple of 10 and 2073528?\nAnswer: 10367640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11281124 to the nearest integer?\nAnswer: 3359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5382, -5383, -5384, -5385, -5386?\nAnswer: -5387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -4 (b) -603 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or -65?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a hour in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -25?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226224.2kg to grams.\nAnswer: 226224200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4961327, -4961310, -4961293, -4961276, -4961259, -4961242?\nAnswer: -4961225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8533 < 1\/160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - d**2 + 1. Determine b(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 22 = -11 + 69 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.46673 plus -173492.8?\nAnswer: -173530.26673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 - 318.016. Let l = 0.89146 - 0.899. Let f = m - l. What is f rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-94347)\/(-81) - (-6)\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3394, 17582, 41224, 74320, 116870, 168874?\n\"Answer: 4727*s**2 + 7*s - 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 4*c = -23*v + 900, 2*c = 5*v - 900. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 6) to base 15.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -316*h**4 + 2*h**2 + 2646?\nAnswer: -1264*h**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 210*q**2. Let y(l) = 2*l**2 - 37*l. Determine y(m(w)).\nAnswer: 88200*w**4 - 7770*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2468058 and 59\/4390.\nAnswer: 12340290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 339*t**6\/40 - 13*t**5\/60 - 7*t**4\/3 + 48*t**2 + 1. Find the third derivative of k(p) wrt p.\nAnswer: 6102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = 60. Let f = t + -16. Let b(u) = -u**3 + 4*u**2 - 4. Let j be b(f). Solve 2 = j*q - 2*o, -o + 3 = -1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4023056 (base 9) in base 16?\nAnswer: -20abc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 - 7*p**2 - 83*p + 69*p.\nAnswer: -16*p**2 - 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Let g be 4\/6*(-3 - -6). What is the first derivative of g + 0*o + p*o - 2*o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268690780 a multiple of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*a = -0*v, 2*a = -4*v + 8. Let h = -13 + v. Is 8\/10 + (-4382)\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 35*n**4 - 3*n - 33*n**4 + 6 + n + 2*n**2 in the form i*n**2 + p + u*n + w*n**4 + g*n**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 583, 1039, 1677, 2497?\nAnswer: 3499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597392 to the power of 1\/2, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 2311?\nAnswer: -2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525189.\nAnswer: 17, 73, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 9) to base 8.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 119 times 9607\nAnswer: 1143233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 28927.\nAnswer: 115708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**3 + 129*p**2 + 43166*p + 98. What is g(-89)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6320645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)*1 + -2. Suppose -4*n = -n. Let j = n - v. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9789 + 6\/(0 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 + 35928*o**4 - 143460456*o**3 + 191136612810*o**2 - 570687214149*o - 1907069138130 = 0.\nAnswer: -2, 5, 3991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/180 + 121*m**3\/18 + 400*m**2 + 2. Solve q(t) = 0 for t.\nAnswer: -11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1536861, 3073722, 4610583, 6147444?\nAnswer: 7684305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Let b(o) be the first derivative of -4*o**2 + 6*o + 917. Determine b(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -9525, -33031, -78803, -154263, -266833?\nAnswer: -423935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13462921*b*d*f**2 + b*d*f - 41*b*f + 32*b - d*f**2 + 3*d*f + 37*f wrt f.\nAnswer: 26925842*b*d - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239 + -258. Sort 3, -5, -2, y in decreasing order.\nAnswer: 3, -2, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2099 - 1488. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 + 102. Suppose -5*q + 2*c = -n, -q - 3*c = -4*q + 6. Let v be 28\/6 - (-1)\/3. Solve z - 2 - 1 = b, -b - v = q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6) - -2)*(86 + -83). Solve j = -i*n - 4, -2*j = -3*n - 2 + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 453 + -406.7. Let i = v - 46.5. Which is smaller: i or -0.01?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v*z**2 + 2*v*z + 753*v - 14962*z**2 wrt v?\nAnswer: 2*z**2 + 2*z + 753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 196599438?\nAnswer: 39319887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1\/2, 2, 4, 12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.6394 (c) -2\/849 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 - 3*h - 9. Let q(d) = -2*d**2 - d - 4. What is 2*o(u) - 5*q(u)?\nAnswer: 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3777*o - 7. What is the units digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2453 (base 8) to base 13.\nAnswer: -7aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14 > -244\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8023*i - 128369. Determine n(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66727290?\nAnswer: 2, 3, 5, 7, 61, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64118359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3630)\/126324)\/((-35)\/(-84))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1.95. Let g = -0.15 - x. Let j = -0.3 - g. Put 4, -4\/5, j in decreasing order.\nAnswer: 4, j, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 3*m + 16. Let j be b(-7). Let o = -123 + j. What are the prime factors of o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:54 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {p: 1, v: 14, r: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/15 + 82*o\/15 = 0.\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) -1 (c) 64279 (d) -2\/11 (e) -99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1635*f + 17. Let m = 159 + -157. Is v(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2063 + 1713 = 20*h + 5*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s**4\/4 + 125*s**3 + 280*s**2 - 500*s - 1060 = 0. Calculate s.\nAnswer: -2, 2, 106\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -13. Let x = 2 - f. Let w be 1\/(x\/2) - -1. Which is the biggest value? (a) w (b) 3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 852 and 40040876?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 214 = -12*h - 8*h + 116*h, -6*h + 3*h - 202 + 208 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10343430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -24 in increasing order.\nAnswer: -24, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17628?\nAnswer: 2, 3, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 25, 3, -37, -101?\n\"Answer: -q**3 - 3*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**7\/945 - c**6\/108 + 4*c**5\/135 - c**4\/27 - 21*c**2\/2 + 13*c. Let a(r) be the first derivative of t(r). Factor a(d).\nAnswer: 2*d*(d - 2)**2*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/12 - j**3\/3 + 6*j**2 - 2*j. Let i = -300 - -296. List the prime factors of n(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6338948\/9 or 2\/11?\nAnswer: 6338948\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 145.91 times 562\nAnswer: 82001.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 0.145. Let h = -2.36101 + 2.4660235. Let c = l + h. Round c to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 728 + -728. Which is the third smallest value? (a) -2\/3 (b) 1 (c) -4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v. What is o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 208*y - 203*y. Let m(s) = 5*s**3 - 2*s**2 - s + 6. What is the units digit of m(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551 by 14.\nAnswer: 551\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r - 27 - 15 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -3. Let c be -2 + (-3 + 2 - k). Suppose m - c = -2*m. Put -4, -0.5, m in decreasing order.\nAnswer: m, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 169 - 63 + 0*f - 5*f**2 + 15*f**2 - 118.\nAnswer: 10*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 765 - 700 - 1*41\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*9\/15*(-3)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11*o - 2. Calculate a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 11 = 21. List the prime factors of (-1 + y)*(-4)\/((-4)\/37).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120908, -120916, -120926, -120938?\n\"Answer: -i**2 - 5*i - 120902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -19) + 0 + 3 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95796040 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 995123600.\nAnswer: 995123600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 2*j + 3*j)*(9*j - 1199 + 1199 - 2*j**2) + j**3 + 7*j - 2 - 13*j + 10*j to the form z*j**2 + p + x*j**3 + s*j and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 212817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-595)\/(-12)*2 - (-164)\/(-984). Let t be 2*1 - (-2 - -2). Suppose -2*c = -16 - t. Calculate the highest common factor of c and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21046?\nAnswer: 2, 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4194, 4189, 4184, 4179?\n\"Answer: -5*f + 4199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000911 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**3 + 19*y**2 + 6*y. List the prime factors of b(-8).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1052)\/48*96\/9. Let x = -234 - t. Let c = 8 + -6. What is the closest to x in c, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 5)*-1*(-3)\/(-6). What is the smallest value in -4, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 2 + 8*1. Let q(p) = p**2 - 4*p + 2. Let u be q(l). Solve -4*a + 5*f + 1 = -a, -u*a - 4*f = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, m: 1, w: 2, u: 1, x: 6, c: 1}. Give prob of picking 1 x, 1 u, and 2 p.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*z + 18 = 19, 2*v = -z - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2584)\/14 - 2\/14*-4. Let l = 2577\/14 + t. Let j(c) = c**2 - 7*c + 5. Let s be j(6). Is s < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 150583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/9, -6\/5, 3044, 3, 0 in ascending order.\nAnswer: -6\/5, 0, 2\/9, 3, 7, 3044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200604309?\nAnswer: 1601, 749909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -991?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31968 or 127869\/4?\nAnswer: 127869\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(9\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2139\/2 at most -1070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4271132 = 143*a - 69*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 118 - 118 + 0*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2.8?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589513407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1472*d - 78592. What is a(-54)?\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*u**4 + u**3 + 41212789*u**2 + 696206418 wrt u.\nAnswer: -24*u**3 + 3*u**2 + 82425578*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15680879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -163\/2*k**2 - 58 + 4*k. Find the first derivative of m(h) wrt h.\nAnswer: -163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 11:31 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117343945 or -117343944?\nAnswer: -117343945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**4 + u**4 - 2*u**4)*(-5 + 0 - 12 + (4 - 3 - 2)*(-2 + 2 - 1)) in the form b*u**3 + r*u**4 + k + q*u + j*u**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**6 - 2*x**5 - 1166*x**4 - 79747*x**2 - 2*x wrt x?\nAnswer: 120*x**3 - 120*x**2 - 27984*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c. Suppose -5*o + 4*o + 5 = c. Solve 16 = -4*b - 3*a, -3*b - o*a - 38 + 15 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0*l - 8 + 0*l**5 + 4*l**2 + 0*l**4 + 0*l**6 - 73\/6*l**3 + 31\/210*l**7. What is the first derivative of q(b) wrt b?\nAnswer: 124*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -38238379 and -38238379 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t - 1914. Let i(c) = -4*c + 644. Calculate -8*i(a) - 3*z(a).\nAnswer: -4*a + 590","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830051411.\nAnswer: 7, 661, 179393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 32 = -78. Solve r*g = 4*o - 2, 3*g = 4*g - 3*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4472?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from kchck.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 349447 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -2, 0.10146, 211 in descending order.\nAnswer: 211, 1\/9, 0.10146, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 5 (c) 0.1 (d) -2\/13 (e) 145 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12637 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12902 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/1123065 and -67\/399735?\nAnswer: 23584365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 5, n: 8, p: 2, d: 1}. What is prob of sequence xnx?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4281570 divided by 1695.\nAnswer: 2526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 i, and 1 h when four letters picked without replacement from ueheneieeu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-4))\/(-9)*(-24)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*t - 140. Suppose 0 = -0*c + c - 9. Let v = 14 - c. Solve -4*i + 0*u = -u + 4, 2*i + v*u = t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t. Let k(p) be the second derivative of 7*p**4\/12 - 2*p + 151. Give d(k(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*q + 0*q - 18 = 0, -2*d + 3 = 3*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 18 (c) -63\/10 (d) 8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x + 536. Let s(l) = l - 11. What is 8*s(t) + v(t)?\nAnswer: -t + 448","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 112864375755 + -0.1\nAnswer: 112864375754.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -103, 0.2, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.2, -2\/5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**4\/s)\/s)\/s)**(-1\/39)\/(s*s**(-2)\/s)**(2\/3) assuming s is positive.\nAnswer: s**(50\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0.5. Let j = 1.4 + y. Which is greater: 0.21 or j?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 - 35342*n**2\/11 - 35340*n\/11.\nAnswer: -2*n*(n + 1)*(n + 17670)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.322285 to 0 decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:42 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 201793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -492 - -490.7. What is the third biggest value in 1\/7, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 13. Let c be x(-10). Let n(b) = 6*b**2 - 2*b**2 - 13*b**2 + c*b**2. Let g(r) = 20*r**2. Calculate g(n(q)).\nAnswer: 720*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -0.1 (c) -3931\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 - (-6 + 1 + 1). Let p = l - 20. Suppose -5*u - 3*t + 188 = p, -5*u = -t - 3*t - 216. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + n + 108, 2*n - 4*n = -h + 20. Suppose -h - 44 = -9*b. Solve -3*c - b = 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - (-3 + 3). Suppose 4 = -3*g + 1. Let o = -4 - -6. Which is the nearest to o? (a) g (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Let k(j) = -4. Let s(f) = -f - 7. Let r(u) = -u + 4. Let q be r(8). Let o(h) = q*s(h) + 7*k(h). Calculate i(o(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*a - 146*a + 71*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 21\/8, -0.4, -0.3, -3\/35, -4\/3?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 - 2. Let x be s(-3). Let w = x - -277. Let t(y) = -w + 5*y + 221 - 3*y. Let g(o) = -53*o**2. What is t(g(d))?\nAnswer: -106*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22197156 + -11587156. Round o to the nearest 100000.\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -5*q - 25, -2*u + 131*q = 128*q - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Let r = k - 0.4. What is the closest to -0.1 in r, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 55\/131, -3\/2, -169, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4436 = 5*v, -6*v + 11*v + 5*h = 4445. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 35260?\nAnswer: 35259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + k)*((-1 + 2 - 3)*(3*k**2 + 0*k**2 - k**2) - 2*k**2 + 3*k**2 + 0*k**2) to the form v*k + h + o*k**2 + s*k**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + 3*z**3 + (-2*z - 4 + 4)*(2*z**2 - 4*z**2 + z**2) - 185*z**3 - 159*z**3 + 320*z**3.\nAnswer: -19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9) - 24\/(-45).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1174 + -678. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) 2 (c) 3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001232436 rounded to seven decimal places?\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4938 is divided by (244\/6)\/((-16)\/(-24)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - 23. Calculate the remainder when v is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1472.4982 to the nearest integer.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - (3 + -1). Let a(q) = 2*q**2 + 2*q - 2. Calculate the lowest common multiple of a(r) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(68)*1)\/sqrt(4))**2 + 5.\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/((1\/7)\/1). Suppose 5*f - z = f. Suppose 934*h = 907*h + 378. Calculate the smallest common multiple of h and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-33))\/(2\/1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/234 and 7 + (-983)\/117 + 1 + (1 - 0)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 164. Suppose -57*i = -f*i - 120. Are -12 and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -586 - 0.051?\nAnswer: -586.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60, 251, 570, 1017?\n\"Answer: 64*v**2 - v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -452464, -1809739, -4071870, -7238863, -11310724, -16287459, -22169074, -28955575?\n\"Answer: -p**3 - 452422*p**2 - 2*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 0)\/((-2)\/210). Suppose l + v = -c, -1576 = 10*c - 5*c + 4*l. Let u = c + 547. List the prime factors of u.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 140244968 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-5)*r\/((r**(-5)*r)\/r*r)*r)\/(r*r\/(r*r*r\/(r*r\/(r**0\/r*r))*r))**(4\/19))\/((r**(2\/9))**(-49)*r**(-4)\/r**6) assuming r is positive.\nAnswer: r**(206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 91 - 1358 = -k, 0 = -k - h + 1453. What are the prime factors of k?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-36 - (11 + -3 - 2)) - 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i. Let u(d) = 3*d**2 + 6*d - 2*d - 4*d. Calculate u(r(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 6, 0 = 2*m - 3*c + 45 - 64 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/8 + -1 + (-213)\/852. Let v be 6\/(-8 + 92)*m. Factor 0*x**2 + 0 - 8\/7*x + v*x**3.\nAnswer: 2*x*(x - 2)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*w - 4*w - 2*w + (0 + 2 - 4)*(w + 0*w + 0*w) + 3 - 5*w - 3.\nAnswer: -44*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 31 + 1. Let s(d) = -6*d - 20. Let q be s(11). Let v = z - q. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 3*i + 0*i + (2*i - 5*i + 2*i)*(3 + 4 - 6) + 0 + 0 - 2*i + 2*i - 2*i - 2*i + (6 - 1 - 4)*(-2*i - 3*i + 3*i) in the form k*i + s and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31600096 take away 21.238?\nAnswer: 31600074.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 287*v**2\/2 - 182*v + 285. Differentiate q(t) wrt t.\nAnswer: 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047769 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28422, -1, 23.\nAnswer: -1, 23, 28422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7651 is divided by 2448.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 679\/3193 < -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13024760 divided by 6?\nAnswer: 6512380\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -611 take away 3698343.53717?\nAnswer: -3698954.53717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (4 + -8 - -11 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 8:57 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-6))\/(892\/(-3345)))\/8\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - v**2 + 50*v**3 - 15 - 10 - 1008*v.\nAnswer: 50*v**3 - v**2 - 1008*v - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 19*j + 12. Let r be o(-8). Let u = r - -80. Find the third derivative of 26*a**2 + 1180*a**4 - 1180*a**u + 18*a**5 wrt a.\nAnswer: 1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.39784 + -0.6515\nAnswer: -0.25366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1955947 to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*8\/2. Do 2 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-1))\/(7 + 1 + -7). Suppose -23 - 4 = 3*k. Let b = k + 13. Solve 0 = -q - 4*g + 21, -5*q = b*g - h*g - 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(612)*3)**2 - sqrt(17)).\nAnswer: -sqrt(17) + 5506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60b + 134b28?\nAnswer: 135436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/3*y**3 - 7\/6*y**2 - 13*y + 0 - 1\/6*y**4 = 0. Calculate y.\nAnswer: -2, 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(198) + 2*sqrt(198))\/sqrt(11).\nAnswer: -5 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 11. Let k be j(-8). Suppose 5*q - 4*n + k = -2*n, 5*q + 4*n = -19. Is ((-92)\/(-6))\/((-2)\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 + -81 + -84 - (1 - -13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*q = 296*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 579655\/49 at least as big as 11829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let r(i) = 3849158*i. Calculate r(l(d)).\nAnswer: -7698316*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-2 - 3\/(-2)). Let d be (14\/4)\/(k\/6). Let l = -9 + d. Solve -3*x + 4*m = -7*x, m + l = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 138. Determine f(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178234829 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 5*v + 4. Let s be r(-4). Let j be ((-6)\/3)\/((-2)\/12). Suppose 2*o + s - j = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 40 + 2 + 24 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -11101?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40789*b**2 + 108797*b**2 + 4880*b**2 + 195500*b**2.\nAnswer: 268388*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/4 - 2*z**3\/3 + z**2\/2 + 2*z - 14. Let c be s(-1). Solve 5*y + c*x - 25 = -5*x, -y + 25 = 5*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 1 - 1)*(0 + 1 - 6)*(-3*z + 0*z + 0*z).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318 and 38935178.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/5 - 25576*y\/5 - 81766472\/5 = 0. What is y?\nAnswer: -6394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, -161, 3, -2\/9, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 3\/35*i**5 + 1\/21*i**3 - 2\/21*i**4 + 0*i**2 + 0 + 3*i + 1\/147*i**7 - 4\/105*i**6. Find u, given that z(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r*r)**(-29)*r*r*r\/r**12*r**1\/r assuming r is positive.\nAnswer: r**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 10 + 11 = 0. Let k be 8\/(-6)*(i + -6 + 0). Suppose -k*p = -m - 12, -2*m + 5*p = 3*p. Solve l = m - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -253, -447, -677, -937, -1221, -1523, -1837?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 1176*r + 1212*r + 460 - 29.\nAnswer: 36*r + 477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1698 + 1707. Solve 4*x - 12 = 2*o, -4*o + 5*x - p = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 + 4*g + 3*g**2 + 9 + g + 13*g**2 + 14*g**2 as q*g**2 + c + j*g and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13745 + -0.1\nAnswer: -13745.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 446, 619, 792, 965, 1138?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2979830*y**2 + 1361938?\nAnswer: -5959660*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, l: 1, g: 3, h: 2, n: 1}. Give prob of picking 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 20*q + 61. Let i be v(4). Let x = i + 32. Let k(p) be the first derivative of -2*p**3\/3 - 2*p**2 + 1. What is k(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18563610 or -18563609?\nAnswer: -18563609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.1 (c) 0.33 (d) -6 (e) 0.03 (f) 5\/6 (g) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3674429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 10*t + 19. Let g be f(11). Suppose -4*x - j - 3*j + 4 = 0, -2*j = g. Solve 4*z - 2*z = 5*r + 2, 5*z = x*r - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335956 is divided by 89063?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9183.320726 + 9183.4. Round u to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-f - 2*f**3 + f) + 3*f**3 - 5*f**3 - 3*f**3 + 4*f - 3*f**3 + 10*f**2 - 10*f**2 to the form r*f**3 + n + k*f + z*f**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - -9.4. Let m = o - 5. Which is the nearest to m? (a) 1\/6 (b) -1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(35)\/(sqrt(63)\/sqrt(9)) + -3)*4.\nAnswer: -7 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/7)\/(26\/728). Calculate the greatest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854637 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -301872327.\nAnswer: 301872314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 0.02, -2\/7, 52?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -86. Let p be ((-1)\/(c\/3))\/((-33)\/(-44)). What is the third smallest value in p, -0.5, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/33627 and 41\/30570?\nAnswer: 336270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10 = -79*m + 77*m, -2*m - 6 = 6*g. Factor 1\/3*c**g - 1\/3 + 0*c.\nAnswer: (c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589 - 474 + j + 1369 - 512 + 0*j.\nAnswer: j - 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544*t = 18147 + 21997 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let z = w + -0.7. Let u = z - -1.751. What is u rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*m + 79 - 11, -2*m + 52 = -5*n. Suppose h + 3*k = -3 + 15, m = -2*h + 2*k. Let l = h - -10. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -120*a**4\/19 - 39134*a**3\/19 - 6360*a**2 - 12262*a\/19 + 204 = 0.\nAnswer: -323, -3, -1\/4, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reieejeicireeij. Give prob of picking 2 j, 1 e, and 1 c.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + s - 55, 33 = -0*g + g - 5*s. What is the remainder when 107 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3003 - 1321?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(258\/11868).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4, 9, -1, -227, 20, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 2*h + 5. Let b be r(-4). Calculate the common denominator of 37\/2 and (73\/14 - 3) + b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3058\/13 - -9200\/39. Let s = 0.04 - -1.96. Let k = 0.2 - 1.2. Put k, 4, f, s in increasing order.\nAnswer: k, f, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2242 (base 7) to base 8\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/9 + 34*t**3\/3 + 92*t**2\/9 - 136*t\/3 - 400\/9 = 0. What is t?\nAnswer: -50, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.29 - 2.4. Let b = -0.01 - h. Is 0 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*p**2 + 6*m**2*u**2 + 2*m**2*u + 145*m*p**2*u**2 - 18434*m*p**2*u + 4*m*p**2 + 42*p**2*u**2 - 2*p**2*u wrt u?\nAnswer: 12*m**2 + 290*m*p**2 + 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 13 = y, -3*y = 2*i - 16 - 23. Find the common denominator of y\/(-208) + 205\/40 and 105\/104.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3331*r + 1375*r = 378*r + 580*r + 108692 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -13, -5, -4 in decreasing order.\nAnswer: -4, -5, -13, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:33 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15256678 is divided by 5962?\nAnswer: 5882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 3*z - j, 0 = -3*j - 9. Suppose -2*k = -4*k + 34. Let u = 18 - k. Sort -1, u, z in descending order.\nAnswer: z, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35943.\nAnswer: 3, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 31 - -11) + (-2 - 21) + 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1292*g + 6739. Let h be x(-5). Which is greater: 271 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*m + f, 3 = m + f - 5*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104*n - 147 = -1103*n + 4*m, 124 = 2*n - 3*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 2*z)*(-4 + 4 + 5*z) + (2 - 2 + 2*z)*(2*z + 2*z - 2*z).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803*n - 803*n - 262 + 21*n**2 + 260 + 293*n**2.\nAnswer: 314*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v. Determine g(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 54. Suppose 3*n = 7*n - b. Let m be n + 2 - 2 - -9. Calculate the greatest common factor of m and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 - -87.792\nAnswer: 88.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4580963\/7 + -654422. What is u in -i*u**2 - 27\/7*u**3 + 3\/7*u**4 + 75\/7*u + 54\/7 = 0?\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y + 2124 = 23*y. Let l = y + 557. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 10:42 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*k**4 - 3321*k**3 + 271182*k**2 + 49*k wrt k.\nAnswer: -3360*k - 19926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149606 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/(-8385)*39 + (-656)\/20*1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5645 or -2\/129?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295.0246 - -295. What is t rounded to 3 dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 44 = 2*p, 4*p + 4 = 2*y - 8. What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81908020 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 345*v**2 - 99144*v + 4960116.\nAnswer: -(v - 486)**2*(v - 63)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/30 and -67\/4460?\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l + 14. Let p be (1\/2 - -1)\/((-15)\/140). Let c be x(p). Let g = 266 - c. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0 + 0)*(-3*y**3 + y**3 + y**3) - 2*y**4 - y**4 + 2*y**4 - 4*y**4 + 0*y**4 + 5*y**4 + y**4 + 117*y**4 + 33*y**4.\nAnswer: 153*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d - 152. What is the remainder when 90 is divided by s(9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.077 - 4.077. Which is the closest to x? (a) 10\/3 (b) 1\/7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:17 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(171) + 0)**2 + -1) - (sqrt(38)\/sqrt(2) + -4 + sqrt(931)*3).\nAnswer: -846 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**4 - 2*f - 1. Let b(o) = 5*o**5 - 21*o**4 - 2*o - 1. Let q(x) = -b(x) + d(x). Determine w so that q(w) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*60\/(-288))\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1090499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2410325264.99999742 - 2410325309. Let o = 44 + d. What is o rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {c: 7, v: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = 5*a, -2*i + 4*a + 3 = -i. Suppose -5*p + 14 = 2*b, i*p - 4*b + 2 = -0*b. Suppose -3*u + p = -10. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1789, -1792, -1797, -1804, -1813, -1824?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5*p + 4)*(2 - 2 + 1)*(17 + 21 - 44 - 1 + 3 - 4 + (5 - 2 - 4)*(-7 + 2 + 4) + 1 + 1 - 5) in the form n*p + g and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-6))\/((195\/39)\/15)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5 + 202*y**4 - 1452*y**3 + 2294*y**2 - 1045*y = 0.\nAnswer: -209, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844.931 grams to kilograms.\nAnswer: 0.844931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -729, -3214, -7359, -13164, -20629, -29754?\n\"Answer: -830*l**2 + 5*l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:36 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w + 10*w = -1047 + 183 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13683?\nAnswer: 3, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/42)\/((18\/(-6))\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + j = 6*j + 50, 5 = -3*c - 4*j. Sort c, 3, -19 in descending order.\nAnswer: c, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 7*p**2 - 18*p - 114. Let y be w(10). Solve -y*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l. Suppose -3*t + l*t + 9 = 0. Let v = -4 + t. Is v smaller than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.025 - 11. What is c rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2*x - 7. Let c be s(5). Let f = 7 + c. Suppose -m + f = 6. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 7631*j - 1024815. What is v(-132)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4269712\/160 - 96\/(-320).\nAnswer: 2, 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*k + 8, x + x = 4*k - 24. Suppose -h - k = 3*h + 4*b, 0 = 5*h - 4*b + 32. List the prime factors of (h - -22)*4\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45826919 plus 0.4?\nAnswer: -45826918.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or 0.132675?\nAnswer: 0.132675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 5*o + 5, -2*o = -3*x + o + 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 5*z + 0*z + (3*z - 5 + 5)*(1 - 5 + 3) + 2*z - 2*z - 2*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*20.8148.\nAnswer: -20.8148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 11:05 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgddnttdttgtttggnt. Give prob of picking 3 t.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -467 + 515 + (1 - 173).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a77 + -13742?\nAnswer: -14709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242*n**6 - 49483*n**5 + 202425617*n**2?\nAnswer: 29040*n**3 - 2968980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*f - 199*f = -287*f - 5472 for f.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 6\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 614.2 - 615.2. Which is the closest to 6? (a) r (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + ((-7789)\/(-13) - 16\/104). Suppose -g - 6 = -3*g. Suppose -g*a - i = -1557. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*v**3 + 118*v**3 + 130*v**3 + 64*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = -167 + 447. Suppose 0 = 3*q - i - 108, 3*q - i + 72 = 5*q. Let t = q - g. What is the least common multiple of 4 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(300) - sqrt(300) - sqrt(300))*4)\/(-6*sqrt(294)*-1) + 4.\nAnswer: -80*sqrt(2)\/21 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/4)\/(-3) + -52. Let i be 2\/(s\/(-12) + -4). Solve n = -3*n - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (998 - 998 + 188*m)*(m - m - 2*m**2) + (-3*m + 2*m + 0*m)*(-m**2 + 6*m**2 + 0*m**2).\nAnswer: -381*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-6)*21\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10716 and 244931147.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 + i**4 + 3 - 2 + 6*i**4 wrt i?\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 8. Let q be b(-9). Suppose q = -4*i + 109. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -47*c + 23*c + 27*c + 21. Let t be r(0). Differentiate -88*b**2 - 3 + t*b**3 + 88*b**2 wrt b.\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 204613.\nAnswer: 71614550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - 73 - (-10 - 7) - (-9 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**9)\/b)**6*(b**(5\/2))**(1\/73) assuming b is positive.\nAnswer: b**(8765\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-16))\/(-1*((-2)\/6)\/(403\/(-155)))?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 9744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250187813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342*i**2 + 2050*i**3 + 342*i**2 + 2734*i + 3746*i**3 - 1253*i**3 wrt i?\nAnswer: 27258*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 22 = -4*q - h, q + 3*h = 2. Let g = 6 - q. Find the first derivative of -3*a**4 + 3*a**4 + 3*a**4 + g wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24370137\/316 - -77121. Let x = 250571\/51660 - 1\/2583. What is the common denominator of x and r?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 10*z - 148 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/2*20\/10. Let o be ((-5)\/(-3))\/((-12)\/n). Factor 1\/2*x**3 + 1\/4 + x + o*x**2.\nAnswer: (x + 1)**2*(2*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 15. Let m(d) = -d**3 + 13*d**2 - 13*d - 2. Let z be m(j). Let p be 0 - (24\/z + 2). Which is the third smallest value? (a) 0.5 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/3*(-5)\/3. Let k = 126 - 507\/4. Let o = 160\/1631 + -2\/699. Sort o, v, k in decreasing order.\nAnswer: v, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from pcapzppz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224176 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 49*h**4\/12 + h**3\/6 + 9*h**2\/2 - 369*h - 2. Let i = 10 - 6. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -579161 - -18941. Round u to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/55464 and -23\/242655?\nAnswer: 1941240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5776*n**2 - 1938*n + 3874*n - 1936*n in the form u*n**2 + l*n + d and give u.\nAnswer: -5776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -22. Let r = x + 29. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/20*12\/(-6)*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -460.4 + 460.396956. Round d to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 4\/5 (c) -0.98 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1646*h - 6 - 1.\nAnswer: 1646*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 18 = 3*n. Let w = 22 + 12. Calculate the remainder when w is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + -66. Put n, -1, -4 in descending order.\nAnswer: -1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 2\/3, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 - 5*v + 5. Let b = 423 - 421. Let i(p) = -p**2 - p + 1. Determine b*c(x) - 10*i(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19890.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 + -5 - 5*1. Sort -5, 4, x, -4 in ascending order.\nAnswer: -5, -4, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, -3, 10, 2, 0, -20 in increasing order.\nAnswer: -20, -3, 0, 2, 5, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 40*j - 1827. Let g be c(46). What is the highest common factor of 23 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 33. Let a be y(8). Let q(z) = -14*z**3 - z**2. Let r be q(a). Let m be (3\/(-2))\/(-1)*26. Calculate the greatest common factor of m and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3579*x + 3*a = -3572*x + 11, -13 = -x - 2*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30048 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 1155*x**2 + 4648*x - 13908.\nAnswer: -(x - 1159)*(x - 2)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 667662 by -6.\nAnswer: -111277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-462)\/330 - -1*(-1)\/(-5). What is the closest to v in 1, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58190*0.3\nAnswer: 17457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (2\/4*-3)\/(115\/460)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 5 - 23. Suppose -4*j - k*f + 22 = -7, 0 = 3*j - f - 12. Suppose 3*i + 2*i = 20. Calculate the lowest common multiple of j and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 45*p = 3*m + 372, -5*p + 438 = 3*m. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10397787, 10397806, 10397825, 10397844, 10397863?\n\"Answer: 19*j + 10397768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -112. Let r be (-3 - (-45)\/12)\/(250\/w). Is r at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*b**5 + 3*b + 224.\nAnswer: 2380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19403 (base 10) to base 5\nAnswer: 1110103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 1910*w**2 + 1910*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 3069?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 156576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6298*k**4 + 407*k**3 - 2995283.\nAnswer: 25192*k**3 + 1221*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**4\/6 + h**3\/3 - 531*h**2. Let f(d) = -4*d. Calculate f(s(c)).\nAnswer: 16*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -616 + 615.9. Is 442 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q*q*q**(-23)))))\/(q**(2\/23)\/q)*q**(-3\/8)*q**(-4\/9) assuming q is positive.\nAnswer: q**(36587\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.5 (b) -7 (c) -1.75 (d) 5 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 687 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 + 7 - 39*j**3 - 7 - 19*j**3.\nAnswer: -37*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o**6 - 5*o**2 + 0*o + 0*o**5 + 0*o**4 + 1\/1008*o**8 + 0*o**3 - 1\/630*o**7 + 0. What is f in p(f) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621165 + 0.28?\nAnswer: -1621164.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 4\/(8\/18). Let h(u) = -u**3 - u - 1. Let t(i) = -9*i**3 - 23*i**2 + 29*i - 15. Let x(v) = z*h(v) - t(v). Solve x(w) = 0 for w.\nAnswer: -9, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 4*v + 1. Give p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/((-396)\/63*-1) and 103\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 25 = 3*i. Let q(t) = -7*t**2 + t**3 - i*t**2 - 5 + 15*t**2. Let n(l) = 4*l - 4 - 4*l + 2*l**2. Calculate 3*n(o) - 2*q(o).\nAnswer: -2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 m, and 1 l when four letters picked without replacement from {c: 4, j: 4, m: 1, l: 1, q: 3}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -58966 divided by -58966\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.626? (a) -0.3 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14468 is divided by 14453.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*w - 3551*w**2 + 1184*w**2 + 1191*w**2 + 1172*w**2 - 1440 = 0 for w.\nAnswer: -180, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 295393631 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1739980 = h - 3*h, -4*h = 4*b - 3480016. What is h rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microgram in nanograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 659.345 - 659. Let w = -67 + 66.59. Let n = w + i. Round n to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-306)\/(-132))\/(3*(-3)\/24). Is r at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/715)\/(4\/10)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-24)*-4*6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 0) + -2 + (-24 + 44 - 26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 8*d + 24. Is (12 - -3106)*(-2)\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = 5*y + 9, q - 8 = 2*y. Let l be 12\/(-18) - (-13)\/y. Let h(r) = r**3 + 6*r**2 + 6*r + 4. Let m be h(l). Is m at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 3. Let j(x) = -1. Let q(l) = l**3 + l**2 - l. Let d be q(-2). Give d*b(s) + 6*j(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 9. Let h be q(-4). Suppose -2*t + 16 = -2*p, 5*p = 17 + h. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 64.2. Let c = -89 + o. Let y = -3.5 - -4. Sort 4, y, c in increasing order.\nAnswer: c, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 8*i + 12*i)*(-4 + 6 + 0).\nAnswer: 40*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(-6*b + 3*b + b) - 2*b - b + b + b - b + 2*b)*(1 - 1 - 2*b**2).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000416729 rounded to seven dps?\nAnswer: 0.0004167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let m be (-2)\/(-5) - 13\/(-5). Is m <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.6*-2.4\nAnswer: -68.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, -2517, 115 in descending order.\nAnswer: 115, 1\/15, -2517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64746933*u**2 + 722079835?\nAnswer: -129493866*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006295 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/19)\/((-7)\/((-301)\/43)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 106960757 and 0.61.\nAnswer: 106960757.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160.9 + 820.9. Let u = 655.07 - f. Let c = 4.4 + u. What is c rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - (-20 - -61)) + 46\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3703 and 5819?\nAnswer: 40733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 22 (c) 1\/21 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 6:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3)*(1 + -1). Suppose -53 = -3*s + 82. Suppose p*g + 49 = 4*m + g, -5*m + 2*g + s = 0. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2545)\/2370*-3 + 3\/(-1). Let z = t + -3532\/1501. Find the common denominator of z and -49\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 - 4*f**4 + 3*f**3 + (4*f**3 - 7 + 7)*(-27*f + 11*f + 38*f).\nAnswer: 84*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*b + 240 = -231, 0 = -4*j - b + 483. Let x(q) = q**3 - 6*q**2 + 3*q + 6. Let z be x(6). Calculate the highest common factor of z and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024203664 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/1050 + 19*w**6\/600 + 3*w**5\/10 + 41*w**4\/30 + 52*w**3\/15 - 6*w**2 - 147. Find g such that p(g) = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7243 and -0.3465.\nAnswer: -2509.6995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.158 (b) 6\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 3. Suppose -7*r + 3*r - 12 = 0. Let a(g) = -786*g - 18. Let k(p) = 429*p + 10. Let w(d) = 6*a(d) + 11*k(d). Determine r*w(y) - 2*z(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15930\/361 in -0.1, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnhhnhnhh. What is prob of picking 2 h?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.97 + -0.93. Let a = -43.4 - g. Round a to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-25)*9\/90*10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 70*c - 25\/3*c**3 + 0*c**4 + 1\/2*c**2 + 1\/4*c**5 + 0. Find the second derivative of u(j) wrt j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32448 and 168324?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11266070087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1)*(2 + -3)*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/15 + 2\/5. Suppose -2*k = 0, -w*j - 3 = -4*j + 2*k. Suppose -4*i = -j*u + 88, u + 3*i - 2*i - 41 = 0. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 4*j**2 - 5*j + 2. Let t be k(-5). Suppose -2*d + 260 + 68 = t*q, -q = -4*d - 174. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4891958896 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*s = -1471, 37*d - 5*s - 713 = 35*d. Calculate the remainder when d is divided by 88.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 - -0.22897924588.\nAnswer: -33.77102075412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3162337.\nAnswer: 227, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1659 and 1669507.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/40? (a) 8 (b) -0.6 (c) 3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24200 (base 14) to base 5.\nAnswer: 10310300","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00687572 to four dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(448) - (sqrt(448) + sqrt(448) + 0 - sqrt(448)))**2*-3 + (-6*(sqrt(7) + 0) - (2 + sqrt(252)))**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238684310.\nAnswer: 2, 5, 323868431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43\/84 - -5\/21. Let o = 2\/33 + 3\/11. What is the smallest value in l, o, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21064 + -4909. Let s(w) = 9586*w - 3. Let r be s(3). Let q = l - r. What is q rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3089860 to the power of 1\/2, to the nearest integer?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, i: 11, l: 2}. What is prob of picking 2 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 5, -81 in increasing order.\nAnswer: -81, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/9 and -30\/1270993.\nAnswer: 11438937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -463 - -931. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2760*w + 184928. Calculate s(67).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -53 + 50 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.04, 1.7, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13932 and 3.87?\nAnswer: -53916.84","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 88, 121, 136, 127?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -2212112221?\nAnswer: 2212112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7185079 (base 10) to base 11.\nAnswer: -4068290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802*r - 803*r + 2 = 0. Suppose -7*h + 2*h = -o - 11, h + 4*o = -r. Let g(p) = -p**3. Determine g(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 + 2*q + 16. Let t(m) = 6*m**3 + 11*m**2 + 11*m + 79. Let r(j) = -11*l(j) + 2*t(j). What is the derivative of r(k) wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -5\/3 (b) -5 (c) 1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t - 15 = 0. Suppose 346 = x - 5*f - 1302, 3317 = 2*x - t*f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/26*8*(-1)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8. Let h(b) = b + 8. Give 5*h(l) + 6*r(l).\nAnswer: 5*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14411, -28824, -43237, -57650, -72063?\n\"Answer: -14413*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3 - 2. Which is greater: 1\/6 or h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 + 1. Let g be h(-1). Let r be (-278)\/6 + g\/(-6). Let u be 2*-1*r\/(-4). Which is greater: -22 or u?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/7 + -1\/14. Let w = -0.1 - -3.1. Which is the smallest value? (a) n (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x + 5*j, -3 - 2 = x - 4*j. Let u be 7 - x\/3*1. Let y(i) = -i + 8. Let b be y(u). Let c(g) = g - 2. Give c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/59650 and 181\/1610550?\nAnswer: 1610550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81 or 1564\/19?\nAnswer: 1564\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 5*b**2 + 3. Let x be q(5). Let k(i) = 14*i + 170. Let s be k(-12). Sort -3, s, x, -1 in increasing order.\nAnswer: -3, -1, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-3)*r)\/r**(-1))\/(r**(-3)\/r**(5\/2)))**(-8\/3) assuming r is positive.\nAnswer: r**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17)*2 + 5 + 4 + sqrt(17) + sqrt(833) + 3.\nAnswer: 11 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 70 = 68473*w - 68478*w, -w - 14 = 4*c for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9. Suppose x = o - 5*o + 20. Calculate the remainder when (51\/o)\/((-4)\/(-20)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 895, 1796, 2701, 3610?\nAnswer: 4523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*((w\/w**(-5)*w)\/w)\/w*w*w\/(w**(1\/4)*w)*(w*(w*w**(-3\/7))\/w)\/(w*w*w**1))**(8\/5) assuming w is positive.\nAnswer: w**(298\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/4 (c) 0.4 (d) -0.33 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Suppose -3*v = -6*v + g. Suppose -2*s = 5*j - 18, -j = -2*j - 5*s - v. Solve 0*y - 3 = 3*y - 4*c, -2*y = j*c + 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-3) + 22\/33 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 527?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*m = 227*m - 4983 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 651854395, 651854392, 651854389, 651854386, 651854383?\n\"Answer: -3*z + 651854398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1208, -2524, -3842, -5162?\nAnswer: -6484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -592\/67?\nAnswer: -592\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*l = 1991 - 2049, 2*x = -3*l + 54 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:06 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 83 + 52*w + 89 - 172. Let f(t) = t**2. Calculate f(m(y)).\nAnswer: 2704*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -80. Let d = 38 + -37.9. Put d, b, -0.07 in decreasing order.\nAnswer: b, d, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-190)\/94 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 606562 and 46068?\nAnswer: 3639372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 2*k**6\/15 - k**4\/24 - k**3\/6 + 2*k**2 + 30*k. Let f(j) = j**3 + 9*j**2 - j - 10. Let r be f(-9). Determine c(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 41*v**2 + 1119*v - 8931. Give w(8).\nAnswer: 2645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65828152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 181005560 to the nearest one hundred thousand.\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 5*m**2 + 5. Let r(s) = 2*s**2. What is y(r(d))?\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -7*a + 6*t, a - 5*a + 4*t = -6*a - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/7 - 86*p + 604\/7 = 0. What is p?\nAnswer: -302, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + q - 42, -2*w + q - 2*q = -15. What is the remainder when 26 is divided by 0 - 4\/((-4)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.79 + -0.21. What is the nearest to 0.1 in 1, y, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 2*p**2 - 117*p + 238. Calculate k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-11))\/m**(-3)*(m**(1\/4))**(-10\/13))**(-32))**(-2\/51) assuming m is positive.\nAnswer: m**(-352\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-168))\/((480\/(-175))\/8).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2924*n = 2909*n - 210 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + sqrt(110)*-3 + sqrt(110)))*-4)\/((sqrt(110) + sqrt(110) + -5*sqrt(110))\/sqrt(11)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 92 (c) -3 (d) 0 (e) -5\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(847))**2 + 2 - 3*(sqrt(847) - (-2 + sqrt(847) - sqrt(847)))) + (3 + sqrt(847) + 3 + -1*(sqrt(847) + 1))**2.\nAnswer: -99*sqrt(7) + 877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. What is the third derivative of -18*v**2 - 5*v**2 - 6*v**6 + p*v**6 + 15*v**6 wrt v?\nAnswer: 1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(252) + ((-1*sqrt(252) + sqrt(252))**2 - sqrt(252)) + 5 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 - -4.9. Let n = -0.6 - 1.4. Let u = n - -2.3. Sort 0.2, x, u in ascending order.\nAnswer: 0.2, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 d when three letters picked without replacement from {d: 8, k: 3, b: 3, o: 3, v: 1}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**6\/q)\/q)**50)**(-49) assuming q is positive.\nAnswer: q**(-9800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58551323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1923 - -2739. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let d(h) = -17*h**2 + 3*h. Let l(i) = -d(i) + 2*s(i). Let q be l(1). What is c in 5*c**3 + 5*c**4 + 20*c**4 + 4*c + 3*c - q*c**2 - 3*c = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3 = 2*p - 2, 2*p - 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-4) - 2\/4. Suppose -7 = q - g. Let f = 8 + q. Solve -4*s - 2*i + 8 = -f*s, 0 = -3*s - 3*i + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 5*m + 5*m)*(4*m**3 - 5*m**3 + 3*m**3) - 479*m**3 + 479*m**3 + 68*m**5 + 4*m**3 - 4*m**3 + m + 2*m**5.\nAnswer: 72*m**5 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 - 167*c - 63. Let f be g(34). Suppose 103 = 3*v + 7. Factor -15*u**2 + f*u**2 - u - 59*u + v + 4*u**3.\nAnswer: 4*(u - 1)**2*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -380*i**4 - i**3\/2 + 467*i**2 - 2327*i + 1. What is the second derivative of x(s) wrt s?\nAnswer: -9120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h + 220. Let u be y(20). Let z(p) be the second derivative of 0 - 1\/5*p**5 + 6*p - 1\/3*p**4 + 0*p**2 + u*p**3. Factor z(i).\nAnswer: -4*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1305586 by 4.\nAnswer: -652793\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 2*x - 13. Let m be o(-5). Solve k - m = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:40 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(2 + -4)*-1. Sort 1, -11, n, 4 in decreasing order.\nAnswer: 4, 1, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - 8711?\nAnswer: -8700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181, -1676, -5819, -13936, -27353, -47396?\n\"Answer: -221*w**3 + 2*w**2 + 46*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(14\/9)\/x**(-16))\/((x\/((x*x\/(x*x\/x**(3\/14)))\/x))\/((x\/(x**22\/x))\/x*x*x*x)))**(3\/7) assuming x is positive.\nAnswer: x**(-281\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 14 = 0, 0 = 33*z - 32*z - g - 3*g - 57 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*i - 3*c, 4*c + 54 = 4*i - c. What is the highest common factor of i and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 2*r)*(-931 + 1284 - 3182).\nAnswer: 2829*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, t: 4, g: 2, y: 1}. Give prob of picking 1 y and 1 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (282\/8)\/(9\/24). Let o = j - 95. Find the common denominator of -23\/10 and (0 + o)*57\/7 - -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3865284 divided by -644214\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0691 (b) 99 (c) 185\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 53*u**2 + 4. Let a(t) = -4*t**2 + 58*t. Determine a(i(p)).\nAnswer: -11236*p**4 + 1378*p**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230977*a - 2830153*a + 386767*a.\nAnswer: -2212409*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*m - 51*m + 4*m)*(4*m - m + 0*m + (0*m - 4*m + 5*m)*(-2 - 4 + 2)) in the form q*m**2 + c*m + r and give q.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020790453 rounded to six dps?\nAnswer: 0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.1008 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.854 and -0.1155.\nAnswer: -0.214137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*2\/6)\/((-90)\/1350). Suppose 5*i + v = 0, f = -3*f + 2*i + 474. Calculate the lowest common multiple of f and 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*o = -p + 260, -p - 2*o = -266. What is the greatest common divisor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/10)\/((-9)\/45). Sort 4, 10, l.\nAnswer: l, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p**2 - 50*p + 745. Let n(l) = 6*l**2 + 25*l - 389. Let h(r) = -5*g(r) - 9*n(r). Factor h(u).\nAnswer: (u - 7)*(u + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3785.8 in 0, 4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1563900.\nAnswer: -1\/1563900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2 - (4 + (-5)\/75) and 23\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, o: 13}. What is prob of picking 1 o and 1 j?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 6*l + 84)*(8 - 3 + 0 + 5 + 0 + 26 + 3 - 5 + 4 - 4 - 1 + 3 + 2 + 4 - 4 + (-4 - 1 + 4)*(1 - 2 - 1) - 3 + 2 + 3 + 1 - 2 + 2)*(1 - 5 + 2).\nAnswer: 516*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3688152.59 rounded to the nearest 10000?\nAnswer: 3690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 39827.\nAnswer: 2\/39827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7092, -9147, -11202, -13257?\nAnswer: -15312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 4*a - 15. Calculate the remainder when l(-6) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6*h - 3)*(-2 + 0 + 3)*(-4 - 10 + 22 + 15*h).\nAnswer: -90*h**2 - 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 6*j - 11. What is the tens digit of c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -330, -328, -326?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0363 - -0.4457?\nAnswer: 0.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/12)\/((-8)\/24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 341*b**2 - 58988*b - 868. Determine o(173).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22373 + -22383. What is the third biggest value in 42, x, 17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1994 is divided by 349?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 16*j**2 - 17*j + 18. Calculate o(-15).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and 370.\nAnswer: 21090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -2\/5, 1\/5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 209*m - 200*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210354 - -1?\nAnswer: -210353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1\/15, -5, -0.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(190) + sqrt(190) - sqrt(190))\/sqrt(10))**2 + -4 - (sqrt(2299) + 2*(0 + sqrt(2299))**2 - sqrt(2299)).\nAnswer: -4431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (47 - 41)*(-10)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 15. Suppose y = k*j - 2, -2*j + 4 + 3 = 5*y. Suppose 0 = -5*q + 3*q - 8. Sort 5, q, j.\nAnswer: q, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*r - 231*r + 0 + 0.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14094 in 0.4, 3\/4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -779\nAnswer: -9\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*p + 424*p - 8862 - 136 = 1178 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*b**2 + 100 - 49 + 2*b**4 - 49 - 3*b**4 + 2*b + 2*b**4 to u*b**2 + s + i*b**3 + h*b + w*b**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -896, -3582, -8060, -14330?\nAnswer: -22392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17332.47 less than -0.5?\nAnswer: -17332.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 538615 and 5.78.\nAnswer: 3113194.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 + (-80)\/30. Let g be (((-60)\/25)\/c)\/((-4)\/(-10)). Suppose 0 = -3*q - x + 2, q + 2*x + g = 7. Is 3\/37 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1200\/(-9))\/((-8)\/120000). Suppose 7*u + g = 12*u. Round u to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 1:53 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 1, k: 1, d: 5}. What is prob of sequence yd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 20. Suppose -19 + 3 = -4*x + j*d, x + 2*d = 1. Suppose -x*h - 14 = -41. Calculate the smallest common multiple of 8 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6542 + 6887. Solve 107*v = 38*v + m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:12 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3371745481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - w - 126570 = -15573, 2*h = -3*w - 73991. What is h rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 4*p**2 - 2*p + 4. Let y be c(4). Let w(z) = -14*z - 16. Is w(y) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5\/6, 1\/4, 4 in descending order.\nAnswer: 18, 4, 1\/4, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107661678 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187517605907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/3, -0.5, 1.8, 0.048, 0 in decreasing order.\nAnswer: 1.8, 1\/3, 0.048, 0, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(1*sqrt(3)*-3))\/(4*(sqrt(5) - (sqrt(5) + sqrt(20))) - (sqrt(10) + sqrt(160))\/sqrt(2)) + -5)*6.\nAnswer: -30 + 2*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q + 8*q + 4*q**2 - 16*q**2 + 6*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 - 2*h**4 + 0 + h**2 + 0 + 1 to the form z*h**4 + q + m*h**2 + i*h**3 + r*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 114. Let r = v - -89. Let j be (-3)\/((-180)\/176) - r. Which is the third biggest value? (a) 0.5 (b) j (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6764*q*y**3 - 394071*q - 8*y**3 with respect to y.\nAnswer: -20292*q*y**2 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-5*2 - -3). Suppose -s*d + 2*d - 52 = 0. Put 1, d, -1 in ascending order.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b4 - -3401?\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18039 and 68\/987?\nAnswer: 847833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 11:28 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + j**2 + j**2)*(0 + 0 - 1) + j**2 + 40722848 - 40722848 - 1335*j.\nAnswer: 2*j**2 - 1335*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -926 (base 13) to base 2.\nAnswer: -11000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-204)\/48 + (-38 - -47)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1669?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtttptitt. What is prob of sequence gt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahh when three letters picked without replacement from {s: 1, v: 2, a: 3, i: 1, u: 2, h: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-5 + -6)) + -4 - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*j + u, -u - 3*u = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Let j = 0.63 - 0.03. Let c = j + s. Sort c, -1, 2 in descending order.\nAnswer: 2, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, 15, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 53 + 127 - 8*v**3 + (3 - 7 + 0)*(35*v - 3*v**3 - 35*v) in the form o*v + l*v**2 + g*v**3 + y and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30929 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - c - 132, 2*z - 139 + 3 = 2*c. Suppose -i + 0*i + z = 0. Let o be i*1\/((-6)\/(-571875)). What is o rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 8:40 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 330400*k**3 - 8*k**2 + 330442*k**3 - 2*k**2 + 9*k**2.\nAnswer: 42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5 + 4*q + 2 + 5*q + 23 - q**3 - 7*q**2. Let s be k(-8). Suppose -8*v + 11*v - s = 0. Calculate the least common multiple of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 0*p**3 - 2*p**3)*(0 + 7*p + 1 + 1).\nAnswer: -7*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018822 to 4 dps.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 4*a - 15. Let r be y(6). Sort r, 1, 29 in descending order.\nAnswer: 29, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2665352*p**3*w - 1777465*p**3 wrt w?\nAnswer: 2665352*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Let m(a) be the second derivative of 53*a**4\/3 - 78*a. Determine q(m(d)).\nAnswer: -424*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = -20. Let g = -3 - -8. Let u = 1.9 + -2. Put g, b, u in increasing order.\nAnswer: b, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578714.3nm to millimeters.\nAnswer: 0.5787143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 8*c**2 - 6*c + 2. Let t be q(6). Suppose -5*l - t = -a - 3*l, a = -3*l + 18. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q - 3*q)*(-3 + 3 - 2)*(3 - 4 - 2) - 2*q - 1 + 1 + (-3 + 6 - 1)*(2*q - 5*q + 2*q) + 0 + q + 0 + q - 3*q + 4*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46.8848 and -4.\nAnswer: 187.5392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 8*a**2. Let k(b) = -10*b**3 + 19*b**2 - 5*b. What is k(q) + 2*z(q)?\nAnswer: -6*q**3 + 3*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -245 (base 8) to base 9\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 572 - 357. Let p = 7 + -7. Let c be u*-20*(p - 1). Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3 + 5 + 0 - t**3)*(-17*t**2 + 11*t**2 - 14*t**2).\nAnswer: 20*t**5 - 40*t**4 - 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = -24. Calculate the least common multiple of o and 26 - 18\/15*200\/(-60).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/3 + -6 + 6\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 - 2*j - 3. Let g = 11 + -8. Let z be o(g). Let a(f) = -f + 25. Let k be a(z). Calculate the highest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102743.\nAnswer: 3, 122527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3 = 4*o + s, -2*s = o - 12. Suppose 2653 = -o*q + 3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 4. Suppose -5*w + 7 = -s, 2*w = s + 2 + m. Sort -1, -4, w in increasing order.\nAnswer: -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -827 and -10.5.\nAnswer: 8683.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24278548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/(-15) + 15*(-6)\/(-150).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -303 - -330. List the prime factors of (-5)\/((16\/(-128))\/(u\/2)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-296)\/(-48692))\/((-3)\/42))\/(-3))\/(4\/(-6))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5887*j + 49301*j + 5270*j + 16178*j.\nAnswer: 76636*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:28 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 24349416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5766 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -14*t - 363. Let h = t + 33. Let z be 30\/45*(1 + 29). Solve -4*f = -3*s - h*f + z, f = 4*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 10 = u. Is 4*u - (-458 + -39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 0, 2, -273, -265 in increasing order.\nAnswer: -273, -265, -10, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5240330, 10480649, 15720968, 20961287, 26201606?\nAnswer: 31441925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 2:46 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -132*j + 40. What is g(2)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -3\/20 (c) -5 (d) 2\/13 (e) 0.0937\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*h = 0, -4*n - h - 457 = -451 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6656*u*z**2 + 13754*u - 3311*z**2 - 19397 wrt u.\nAnswer: 6656*z**2 + 13754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6886, 3\/2.\nAnswer: -6886, -2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.9 + 6.9. Let k = -24.9 + 27.56. Let h = g + k. What is h rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -83185*w - 1. Let h(k) = 153*k**2. Give t(h(v)).\nAnswer: -12727305*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(37\/185)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 6 + 3)*(-w + 5 - 5)*(13*w - 23 - 23*w + 24)*(w**3 - 4*w**3 + w**3).\nAnswer: -340*w**5 + 34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-565)\/226*(-24)\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -909, -1773, -2637, -3507, -4389?\nAnswer: -5289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3200 and 1120?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 24, 19, 16, 15, 16?\n\"Answer: j**2 - 10*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:56 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 46. Suppose 2*i + h = 6*i. Suppose -i*g + 6*g - 10 = 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87680 = -5*v - 3*t + 139730, -4*v - 3*t = -181925. What are the prime factors of v?\nAnswer: 5, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 4*g + 6*g - 14*g + 760176 - 760176.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 4748108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 3*v - 24, -16*o - v - 113 = -53 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/60 + n**4\/6 - n**3\/2 + n**2. Suppose -5*i + 18 = 2*p, p + 0*p = -4*i + 15. List the prime factors of b(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20906 + -5813. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - (57 - 60 - 38).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 212*o - 231 + 237*o - 474*o. Calculate l(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -27*k**2 - 3*k + 3. Let h(v) be the first derivative of -27*v**3 - 4*v**2 + 8*v + 2939. Determine 3*h(d) - 8*w(d).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -23*i - 1344. What is the remainder when 134 is divided by z(-61)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51901*h + 51596*h = 12810 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*d, 2*o - 3*d + 0*d = 198. Suppose 5*i - 3*q = 66, -3*q + 5 + 4 = 0. Calculate the highest common factor of o and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 13*i**2 - 2*i. Let k(r) = -14*r**2 + 3*r. What is 4*a(v) + 3*k(v)?\nAnswer: 10*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = -4*r, 4*r + 13 = r - 2*p. Let y be (1\/((-8)\/(-160)))\/(0 - r). Let k = 52 + y. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*c + 0)*(-1 + 2 + 2) + (0 + 4 - 2)*(4*c - 5*c - 5*c))*(26*c**2 + 4*c - 4*c).\nAnswer: -156*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + p. Let l(g) = 6*g**2 - g + 1. Let w(x) = 5*f(x) + 3*l(x). Determine w(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(126)\/sqrt(2)) + (sqrt(99)\/(1*sqrt(144)))**2.\nAnswer: 11\/16 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 2*w + 2. Let a(k) = -k**2 - 3*k - 3. Let d(y) = -3*y - 17. Let z be d(-5). Give z*a(i) - 3*j(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35\/76 + -4\/19. Which is greater: c or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 645 + -196. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 859 + -805. What is the remainder when 58 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + 38. What is a(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**3 - 292*u**2 - 2200*u - 3200 = 0.\nAnswer: -5, -2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -865 divided by -5\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985362.\nAnswer: 2, 3, 7, 29, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 3*c + 3. Let s(y) = 4*y**2 + 6*y - 7. Let w(p) = 13*a(p) + 6*s(p). Let b be w(-2). Let x be (-6)\/15 + (-17)\/b. Solve -x*q = 2*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76670874 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -29*p**4\/12 + 4*p**3 - 26*p - 6. Let u(n) be the first derivative of z(n). Find the second derivative of u(f) wrt f.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.357138 millennia in months?\nAnswer: 100285.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34534578 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14558, 14541, 14522, 14507, 14502, 14513, 14546?\n\"Answer: s**3 - 7*s**2 - 3*s + 14567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 - 2*w - 43 - 54 + 136)*(-3*w + 4*w + 0*w).\nAnswer: -4*w**3 - 2*w**2 + 39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1241*q - 5666 = -761*q + 5854 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(70) + 5*(-2*sqrt(70) - sqrt(70)))\/sqrt(10).\nAnswer: -14*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 326 + 577. Let y = -360 + 634. Let r = y + x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 28042?\nAnswer: -28045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 2325.\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17.7 (b) 0.5 (c) 1\/5 (d) -1 (e) -4 (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -19\/2 (b) -11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3 + 21. Let x = -13 - s. Solve -5*v - w = 7, 9 = -2*v + x*v + 5*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (1 - 4 - -4). Let v = -7 + 10. What is the first derivative of -v*p**3 - 3 + 4*p**y - 4*p**3 + 4*p**3 wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 0*t**3 - 2*t**3)*(-10*t + 3*t + 13*t).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 96 + -25 + -3 + -1 + 5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2035376070 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(143) - sqrt(143)) + sqrt(143))*1 - (sqrt(143) + -1*sqrt(143))*3)\/(-4*2*sqrt(539) - (sqrt(539) + sqrt(539)*2)*6).\nAnswer: -3*sqrt(13)\/182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.54 + 47. What is q rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5 + 10 - 66*g + 1 + 65*g - 1. Let z be (-33)\/6*(-2 + 0). Determine t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxqzczh. Give prob of picking 1 c, 1 q, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2\/7, 29\/3, 3?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1950623, -3901246, -5851869?\n\"Answer: -1950623*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/38480 and 145\/239538.\nAnswer: 9581520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14006.27 from 1.5.\nAnswer: -14004.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:57 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.5 + 22.5358. Let b = a - 0.04. What is b rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*k + k - 5*k)*(-4*k + 3*k - k) + 2*k**2 + 3*k**2 - 7*k**2)*(-113*k**3 - 263*k**3 - 1094*k**3 - 2514*k**3).\nAnswer: 15936*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.08 + 1.18. Suppose 4*s + 9 = h, -s - 4*h + 22 - 3 = 0. Which is the closest to s? (a) -5\/4 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*m**3 - m**2 - 163001*m.\nAnswer: -222*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.0512\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Suppose -2*t - 3 = 3. Sort 1, t, k.\nAnswer: t, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -0.3, 0.3, -766151 in ascending order.\nAnswer: -766151, -0.3, -0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111021231 (base 4) in base 16?\nAnswer: 5526d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3501 to one decimal place.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573797 is divided by 3646.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8767 - 171 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 + 1236*r + 13977. What is p(320)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4360.9 and 0.07722.\nAnswer: 4360.97722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 56. Is 12 a factor of (-6*p\/(-8))\/(2\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -222 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-34)\/17*(-1)\/((-7)\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {r: 3, m: 1, z: 3, y: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b2c (base 13) in base 14?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65729565 take away -0.04?\nAnswer: -65729564.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5537*f**4 - 3838*f wrt f?\nAnswer: 66444*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1.76?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 4*b - b)*(82 + 16*b - 82) + 1 - 3*b**2 - 1 in the form f + w*b + q*b**2 and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 4, z: 12}. What is prob of picking 1 z and 2 p?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*z - 211, 18*z = 23*z - 20. Sort 5, 1, l in decreasing order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = -5*a - 9. Calculate the greatest common divisor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445003699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t = -3*d + 312370, d - 2 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - (-2)\/(-3). Let c be (100\/16)\/(-5)*(-18)\/15. What is the second biggest value in d, c, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315*k + 1674*k**5 - 577*k + 22*k - 220*k wrt k?\nAnswer: 33480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366828 or 366887?\nAnswer: 366828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 f, and 1 k when four letters picked without replacement from bbbfk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 794.8 - -0.4.\nAnswer: 795.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y\/((y\/(y\/y**(2\/7)))\/y))*y*y**(9\/5)*y)\/(y**(-1)*y**1)*((y**(10\/9)\/y)\/y**7)**48 assuming y is positive.\nAnswer: y**(-34396\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.403627 centuries in decades?\nAnswer: 84.03627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1671 divide 9845532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -50. Let l = b - 15. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3 = 0, -5*l - 13 + 24 = -3*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11860979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3*(-45)\/(-10). Let d = c - -8. Suppose -i - 3*i = -t - 71, -d*t + 59 = 3*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 + 7*k - 5. Give v(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -7*g**2 + 0*g**4 + 1\/480*g**5 + 0*g + 9 - 1\/48*g**3. Let i(v) be the second derivative of u(v). Suppose i(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4580\/(-1374)*((-208)\/130 - (-2)\/1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470 and 233308.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -223, -957, -2169, -3853, -6003, -8613, -11677, -15189?\n\"Answer: q**3 - 245*q**2 - 6*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.28 and 0.246?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = -15, -5*j - 4*s - 5 = 0. Let c(i) = 4*i - 7. Let v be c(4). Calculate the greatest common divisor of v and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -63*q**3 - 70*q**2 - 159*q - 67. Is s(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 10*a = -134316. What are the prime factors of a?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/12)\/(((-14)\/1855)\/(138\/115)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(2\/17)*y)*y**(-2\/25) assuming y is positive.\nAnswer: y**(-84\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 d, and 1 v when four letters picked without replacement from {v: 1, m: 8, y: 4, d: 1, z: 1}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002404 rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 57.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 3*u**2 - 2*u + 5. Let z be g(-4). Let m(c) = -c**2 - 3*c - 2. Let y be m(z). Let l(d) = 11*d**2 - 3*d - 1. Is l(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 6*n**3 - 17267*n + 17374*n to i + v*n**3 + y*n**2 + z*n and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978475*x - 152568*x + 597406*x.\nAnswer: 1423313*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -14. Let t = m + 73. Suppose 0 = 5*o + 15, 0*z = -z + o + 23. What is the remainder when t is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z + 15. Let k(t) be the second derivative of -t**3\/6 + t**2 - 26*t - 1. Give -30*k(r) + 4*s(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1379280.06.\nAnswer: -1379279.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1319 (b) -2084 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*m - 4*c, -4*m = c - 6*c + 6. Sort 5, m, -29 in decreasing order.\nAnswer: 5, m, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, -22 in increasing order.\nAnswer: -22, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 3*n**2 - 4*n**2)*(0 + 3 - 4)*(707 - 60*n**2 - 707).\nAnswer: -120*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*l*o**2*z**3 + 32*l*o**2*z**2 - l*o*z**2 wrt z.\nAnswer: -1122*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*f**2 - 135*f**2 + 0*f + 2*f + f**4 in the form q*f + g + r*f**4 + j*f**2 + o*f**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/5)*(v\/((v*(v\/(v**(-2\/19)*v))\/v)\/v))\/v)\/((v*v*(v*v**(-1))\/v*v)\/v)**(-45))**18 assuming v is positive.\nAnswer: v**(79848\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 5*u**3\/6 + u**2\/2 - 4*u. Let z be f(-1). Let o be z\/(-10) + 2\/(-5). Solve 0 = 5*q - 4*i + 16, o = 5*q - 2*i + 4 + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 80*r - 248. List the prime factors of o(97).\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 496 + 242 + 254 + 35*k.\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397 by -5308.\nAnswer: -397\/5308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -225, -223, -221, -219, -217, -215?\n\"Answer: 2*r - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, m: 7, a: 2}. What is prob of picking 1 n and 2 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6527 + -12494. Calculate the remainder when (2\/3)\/((-26)\/p) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -7*z - 240. Let w = -2\/253 + 8620\/2277. What is the common denominator of w and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-10)*(-40)\/16. Suppose 0 = t*b - 2, -p + 2*b + 11 = 7*b. Differentiate -v + v - 6*v - 15 - p*v with respect to v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + -5 + (-231 - -102).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/5 - 1870747*a\/5 + 748298 = 0?\nAnswer: 2, 1870745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*28\/1890*15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*g, 2*g + 8 = 14*x - 12*x. Solve 5*n + 19 = -3*a - 0*a, 0 = -n - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46800000 rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 1102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (96 - (-2 - -3)). Let u = -13001 - -13000. Put 3, n, u in descending order.\nAnswer: n, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + sqrt(85)\/(sqrt(15)\/sqrt(3)) + ((sqrt(2057) - (sqrt(2057) + sqrt(2057) + 0))*5)**2 + -5 + 0.\nAnswer: sqrt(17) + 51418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1879167\/43 or -43702?\nAnswer: -1879167\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5755 or -0.3?\nAnswer: 5755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -3*t + 3*l, 3*t - 2*l + 826 = 5*t + 456 + 414 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/5)*x**(1\/3)*x**(5\/4)\/x*x**(-1)\/x*(x**(-1\/4)\/x)**(2\/143)\/(x**(-5)*(x\/(x\/((x\/x**(-1\/3))\/x))*x)\/x*x) assuming x is positive.\nAnswer: x**(7529\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -509, -752, -979, -1184, -1361, -1504?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 39. Suppose 6*q = 2*q + y. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*g*i**3 - 5*g*i - 802*g - i wrt i.\nAnswer: -180*g*i**2 - 5*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/(-5)*(-650)\/(-195)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/13956796 and -109\/1904.\nAnswer: 55827184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**2 - 2*j - 4. Let u(g) = 17*g**2 - 7. Let z(h) = 34*h**2 - h - 14. Let p(o) = -5*u(o) + 3*z(o). Give 4*p(t) - 7*s(t).\nAnswer: 5*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90170 is divided by 853.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 25. Let c = 11.72 - -0.28. Let p = c - v. Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3 - 7) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 346 - 16. Suppose -11*l = 2*w - 7*l - 334, 5*l - 500 = -3*w. Let q(c) = 2*c + w - z. Let k(g) = 2*g**2. What is k(q(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7675*j**2 - 4309*j**2 + 11964*j**2.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 4:37 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/5))**(-32))**(-35) assuming z is positive.\nAnswer: z**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-27)*-3*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/9 + 2*f**3\/9 - 4*f**2\/3 - 8*f\/9 + 16\/9 = 0. Calculate f.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -657\/373, 1\/10, 1.4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -17*j**5\/5 + 5*j**3 + 13. What is the third derivative of n(g) wrt g?\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 6*b + 3. Let u be q(-5). Suppose -3*p = p - u. Let t(x) = x. Let g be t(p). Put 4, g, 1 in increasing order.\nAnswer: 1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11112021220010 (base 3) to base 2\nAnswer: 1001001011101010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/120 - k**3\/2 + 8*k**2. Let v(l) = -2*l**3 + 4. Give -4*o(n) - 3*v(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23220 and 5459022?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293295 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 2\/((-2)\/1). Let m be (-2)\/(2*-1) + 0. Let d = m + 2. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 25*f + 32. What is the smallest common multiple of 68 and m(24)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 + 56*q - 334\/3.\nAnswer: -(q - 334)*(q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -2, -1, -4, 4, -48454 in ascending order.\nAnswer: -48454, -5, -4, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 45 + 120 = 0. Solve -c*l - o + 15 = 4*o, -5*l + 3*o + 31 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75709 + -8.26.\nAnswer: 75700.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1148 and 36.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -45. Let g be (-64)\/(-6) - (113 - 103). What is the closest to 6 in g, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -36*m + 162. Let q(s) = -s + 4. Give -45*q(l) + w(l).\nAnswer: 9*l - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15094304?\nAnswer: 2, 471697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. Let q(c) be the second derivative of 0*c**3 + 0 + 0*c**l + 0*c**2 + 3*c - 1\/6*c**4 + 1\/10*c**6. Find the third derivative of q(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**11*y)\/y)\/(y*y\/y**(-5\/8)))\/(y**(2\/27))**50)**(-2\/7) assuming y is positive.\nAnswer: y**(-1009\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 466*n**2 + 9*n - 13. Let w(t) = 233*t**2 + 4*t - 6. What is 6*r(v) - 13*w(v)?\nAnswer: -233*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3026723 and 5.\nAnswer: -1.5133615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221 - 117. Suppose 5*r = 3*t + f, -2*r - 8 = t - 54. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4848286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/15 - 16*p**4\/15 - 14*p**3\/15 + 364*p**2\/15 - 312*p\/5 + 48 = 0. Calculate p.\nAnswer: -5, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5781, -11552, -17317, -23076, -28829, -34576?\nAnswer: -40317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 + j**3 - 2*j**3 - 7*j**2 + 9*j**3.\nAnswer: -j**3 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 8*x**3 + 6*x**2 - 36*x.\nAnswer: -2*x*(x - 3)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29203 + 29206. Which is the biggest value? (a) s (b) -11\/3 (c) 2\/3 (d) 2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*y - 2*g + 5 = -485*y, -2 = -2*y - 4*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 4152692*m - 2155606355858.\nAnswer: -2*(m - 1038173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + z - 3*z)*(2*z - z + 2*z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a minute in seconds?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {s: 3, f: 2, j: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by -1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 712, 1595, 2830?\nAnswer: 4417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/2 (c) -0.2 (d) -3\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 4, c: 3}. Give prob of picking 1 j, 1 c, and 1 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-2 + (-1)\/(-1)). Let h(c) = -9*c - 6. Let l be h(p). Calculate the highest common factor of 30 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 2*k + 41. Give u(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.2 - -32.9. Let u = 0.01 + 0.39. Which is the smallest value? (a) -2\/11 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 44*s**2 - 15*s + 42. Give m(15).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -425299908574 - -425299922878.42000072. Let v = b - 14304.2. Let h = 0.22 - v. Round h to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:02 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 783 (base 13) to base 14\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-126)\/(-200)) + 33 + 356\/6.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -222, -235, -244?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/36)\/(174\/(-88) + 2). Let q(a) = 3*a - 2. Let r be q(3). Let s = r + d. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2736681 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**4 + 3*v**2 - 3. Let n = 0 + 3. Let t(c) = 0*c**4 + 2*c**3 - 6*c**2 - n*c**3 + c + 6*c**4 - 2 + 9. Let l(d) = 7*i(d) + 3*t(d). Factor l(h).\nAnswer: -3*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038374.\nAnswer: 2, 3, 13, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48.11 - 45.11. Sort 7, 0.5, 5, k, 1\/4 in increasing order.\nAnswer: 1\/4, 0.5, k, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -9*k**4\/4 - 2*k**3\/3 + 3*k**2\/2 - 22*k. Let p be a(-4). Round p to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2. Let h(d) = -1. Let k(y) be the third derivative of -7*y**4\/24 + 2*y**3\/3 - 4*y**2. Let c(i) = -4*h(i) - k(i). Determine c(r(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 3*b**2 + 0*b + 0*b**3 + 0 - 1\/8*b**4. Let s(n) = 4*n**2 - 5*n**2 - n**2. Give j(s(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, j: 1, x: 1, k: 1}. Give prob of sequence gj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 4 = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 - (-9 - 126162\/(-815))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 - -244. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + d - 1 - 2*d)*(5 + 17*d - 5) in the form n*d + i + z*d**2 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50873?\nAnswer: 50873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3496354.\nAnswer: -1\/3496354","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -966*x + 1. Suppose -6*a - 57 = -9*a. Suppose 3*m + a = -4*c, 3*m + 1 = -14. Is f(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 times -1.1073\nAnswer: -83.0475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 + w - 1. Let c = 8 - 7. Let k be r(c). Is (-3 - -1) + 218 + k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 729 and 18873?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1257 - -1259. Suppose 0*x - 3*x + 15 = 0. Suppose 3*c + c - 2*w - 8 = 0, 19 = 3*c + x*w. Solve i*h + c = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31198541 divided by 11.\nAnswer: -2836231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 4156*k\/5 + 12378.\nAnswer: 2*(k + 15)*(k + 2063)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/6)\/(1698056\/18704 - ((-30)\/(-14))\/(-3)).\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 59, 84, 119, 164, 219, 284?\n\"Answer: 5*o**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from kstysks?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 7*w**2\/2 + 44. Let l(k) = 4*k. Give m(l(u)).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 503319 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -331 + 355. Let l(t) = 40*t - s*t - 14*t. Let a(h) = -192*h - 2. Calculate l(a(u)).\nAnswer: -384*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.5 - 0.5. Let y(w) = w**3 - w**2 - w + 3. Let i be y(0). Suppose 7*o = i*o. What is the third smallest value in n, -3, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppapapapp. What is prob of sequence pa?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/8*2 + -4. Is k <= 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 546*c**5*f*l + 119928*c**3*l + 76*c*f - 269*c*l + 772*f*l wrt c.\nAnswer: 10920*c**3*f*l + 719568*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/1232687 and -52\/11?\nAnswer: 13559557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3011 - 1505 - 6*c**2 - 1506.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(28))\/sqrt(10).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488.7462l to millilitres.\nAnswer: 488746.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 20 = -4*k. Suppose m - 6*m = k. Let o = 9 + -8. Put m, 2, o in increasing order.\nAnswer: m, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795216860?\nAnswer: 2, 5, 39760843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/(q\/(q\/(q\/(q**0\/q*q)))*q))**(18\/5)*(q**(-4)*q)\/(q**(-6)\/q)*(q\/(q\/((q\/((q\/(q**(1\/4)*q))\/q))\/q)))\/(q\/(q\/q**0)) assuming q is positive.\nAnswer: q**(-471\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 11716771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2122 (base 3) to base 5\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-1276)\/(0 - -4). Let m = v + 62. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/4 + 10*v**3\/3 + v**2 - 12*v - 3. Let c be u(10). Solve -1 = 3*l + c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose -17 = -2*t - 3*f, -5*t + f - 5*f = -39. What is the remainder when t is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26448088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-19 - (-2 + (15 - 19))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, y: 15}. What is prob of picking 2 y?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 137 = 14*u - 205, -u = i - 12 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.3 and -345954211.\nAnswer: -345954214.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 540. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54552, 218187, 490900, 872685, 1363536, 1963447, 2672412, 3490425?\n\"Answer: -s**3 + 54545*s**2 + 7*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/68*(-7)\/((-14)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925969*p**3 + 1851832*p**3 - 925868*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 15*b**2 + 15*b - 4. Calculate the remainder when d(14) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3757, -29884, -100785, -238846, -466453, -805992?\n\"Answer: -3731*r**3 - r**2 - 7*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + sqrt(11) + -1 - sqrt(11) - sqrt(11)) - (sqrt(99) + 1*sqrt(99))*-1 - ((sqrt(198)\/(sqrt(27)\/sqrt(3)))\/(sqrt(2) - sqrt(882)))**2.\nAnswer: 2389\/400 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 5*h + 4. Suppose -v + 5*f + 10 = 0, 0 = 5*v + 2*f - 0*f - 50. Suppose -4*s + 3*q + 16 = 0, -32 = -2*s - 2*q - v. Is t(s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = 2*t, -2*t - 25 = 8*u - 13*u. Which is the closest to -2? (a) -0.5 (b) t (c) 4\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*504.\nAnswer: 5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**5 - z**4 - z**3. Let c(l) = -6*l**5 + 4*l**4 + 9*l**3 + 5*l**2 + 5*l. Let j(s) = c(s) + 4*f(s). Find the third derivative of j(q) wrt q.\nAnswer: -120*q**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4684 by 2.\nAnswer: -2342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10) - -8 - (1 - -7)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3 - (-22)\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 4. Give a(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*n + 37 + 3173 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4851602.49 less than -49?\nAnswer: 4851553.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*v - 75*v + 30 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*o**3 + 2*b*o**2 - 1134*b*o + 16*o**3 + o**2 wrt o.\nAnswer: 6*b*o + 4*b + 96*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 681 or 686?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1 (c) 0.9 (d) 3 (e) 61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v + 37*v - 15 = 0, 12 = -i - 4*v. Let c = 20 - 5. Let t = c - i. Solve t = -5*j - 2*x, -5*j + 3*x - 22 + 7 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 15. Suppose q = 34 - k. Let w = -20 + q. Solve 0 = -3*y - w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 4 = -22. What is the greatest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:57 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5690 and 20?\nAnswer: 11380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 21*n**2 - n - 13. Suppose -2*k + 1 + 7 = 0. Suppose k*a - a = 42. Calculate the remainder when a is divided by r(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1139 + 1138.9999992444. Round y to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -73933*f + 60. Is s(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - g - 32 = -5*c, -2*c = 2*g + 36. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -65. Suppose l = 3*m + 138 - 105. Let j(i) = -i**3 - 9*i**2 + 6*i. What is the tens digit of j(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - 3.94. Let i = -10 + 10. Let u = -7 + 7. Which is the closest to u? (a) i (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5337)\/593*34\/9.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 8:32 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*c**3 + 3*c**3 - 2 + 5*c**3 - 2*c + 6*c**3 as v*c + m + z*c**2 + w*c**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -58 + 169. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17186018?\nAnswer: 2, 61, 140869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194743695.\nAnswer: 3, 5, 457, 28409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20529 = -322*l + 5231 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*m - 100*m - 49*m)*(1 - m**2 - 1)*(-4*m + 4*m + m) to h*m**4 + k + x*m**3 + y*m + t*m**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -6*z + 7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 846, 6707, 22678, 53835, 105254, 182011, 289182?\n\"Answer: 846*d**3 - 21*d**2 + 2*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8288\/280*(-2 - (-9)\/2). Calculate the highest common divisor of 3626 and v.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.3 + 3.3. Let r = -34.3 - n. Sort r, -1\/2, 2 in ascending order.\nAnswer: -1\/2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 47. Let u be (24\/(-4))\/(p\/(-4)). Which is the third biggest value? (a) 4\/5 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-5) - 12\/(-20). Let l = 2077 + -2080. Sort p, l, 82.\nAnswer: l, p, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40642 by -7.\nAnswer: -5806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 968814 and 462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2630341 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135 + 226 - 4) + (-1 - 36).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -32*u + 2. Let s be b(-3). Suppose 56 = 12*r - 8*r. What is the highest common divisor of r and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1943 times -32\nAnswer: 6.2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-1482)\/1235)\/((-10)\/(-725)))\/(-18)\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-175190875\nAnswer: 8759543.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1051 + 957.1. Let h = f + 85.9. What is the closest to -2\/11 in h, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:31 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/6 + 487*k**2\/6 - 3800*k\/3 + 5024 = 0. What is k?\nAnswer: 8, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2\/2 - 7020*t - 126765\/2 = 0.\nAnswer: -9, 2817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(13) + -4*(sqrt(26)\/sqrt(2) + sqrt(13)) + 4*-2*sqrt(13) + 0)**2 + (((sqrt(78)\/sqrt(2))\/sqrt(3))**2 + (sqrt(52)*-2)**2 - (1*sqrt(117)*1)**2).\nAnswer: 90*sqrt(13) + 3038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 1\/2, -0.2, -1\/6, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Sort r, 2, 0.2 in decreasing order.\nAnswer: r, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 66 + 2 = 0. Let o(p) = -53*p**2 + 8*p + f*p**2 + 1 + 24*p**2. Let d be o(-8). Round d to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2 + 2*n - 2*n**2 + 2*n**2 + 3*n**3. Suppose 0*a = 2*a. Suppose -c = -a*c + 2. Let d(p) = -10*p**3 + p**2 - 7*p + 7. What is c*d(o) - 7*x(o)?\nAnswer: -o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 16 = 2*w, -2*w = 3*w - 10. Let u = 1 - 0.9. Let h = u + -0.1. What is the closest to -1\/4 in d, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 759\nAnswer: 3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 512.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 + 10*j**4 - 25*j**3 = 0. What is j?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-36)*-21*42\/21*3.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*w + 30 = 14, 0 = -3*k - 2*w - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 686813.59 rounded to the nearest one hundred?\nAnswer: 686800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 + 2*x**3 - x - 2*x**2 - 10*x**2 to l*x**2 + r*x + q*x**3 + o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 - 32*r**3 + 152*r**3 + 4*r**3 + 4*r**3 + 2*r**3 + (0*r + r - 2*r)*(-3 + 2*r**2 + 3) + r**3 + r**3 - 3*r**3 + 0*r**3 - r**3 + 0*r**3.\nAnswer: 121*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 - (-2)\/(-2)))\/(1515\/24240).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 193 + 521. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-400)\/64)\/(2\/8). List the prime factors of 32\/2*o\/(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 14\/11 (b) 433 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11584*-82548\nAnswer: 956236032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161115.\nAnswer: 3, 5, 23, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 69 = 27*l + 27. Let z(j) be the first derivative of j**4\/4 + 2*j**3\/3 + 5*j**2\/2 + 3*j - 2. Give z(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 317\/((-15)\/(-10) + -2). List the prime factors of 8\/(-28) - o\/(-7).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 274*d + 1808672 - 1828126 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*k = 177 - 161, -3*k = -2*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 15, 38 = w + n - 37. Suppose 5*j - c + 2*c + w = 0, 2*j + 2*c + 28 = 0. Let m = 22 + j. Calculate the least common multiple of m and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c + 2. Let y be k(-3). Let n(a) be the second derivative of a**3\/6 - 9*a**2\/2 - 6*a. What is the units digit of n(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 8*j = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 6*j - 16 + 8)*(0 + 0 + 1)*(613 + 16*j - 613).\nAnswer: 96*j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from hsuujj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65963 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2404 - 2384. Calculate the remainder when 1861 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 1. Let g(q) = -22*q**2 + 7*q + 10. Let s be g(5). Let d = 501 + s. Let v(z) = 4*z + 1. Calculate d*c(b) + 5*v(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -179, -272, -367, -464?\n\"Answer: -s**2 - 88*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2a74 (base 12) to base 13.\nAnswer: -82123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x**2 + 24. Let o(y) = 2*y**2 - 5. Let n = 14 + 10. Let a be (n\/20)\/((-2)\/40). Let i(d) = a*o(d) - 5*k(d). Let h(c) = -c**2. Give h(i(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7473074 to the nearest integer?\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/218?\nAnswer: 1\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-7)\/(-3))*-9. Let c = -13 + h. Let z = -4 - c. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - n = 0, 485*i + 22 = 482*i - 5*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9054917 centuries to years.\nAnswer: 90.54917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12737, 12735, 12733, 12731, 12729?\n\"Answer: -2*l + 12739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -888*n. Let g(u) = -2*u. Calculate g(w(j)).\nAnswer: 1776*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -23*x**6\/30 - 5*x**3 - 11*x. Find the second derivative of b(s) wrt s.\nAnswer: -276*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(40)\/sqrt(2) - 3*sqrt(320))**2 + -3 - (sqrt(55)\/(sqrt(539) + 1*sqrt(539) - sqrt(539)) - sqrt(50)\/(sqrt(160)*-4 - sqrt(10)))**2.\nAnswer: 132*sqrt(5) + 34351706\/14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32.14747ml?\nAnswer: 0.03214747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -504*h*t**2 - t**2 + 11*t with respect to h.\nAnswer: -504*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 14 - 9) + -6 - 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by -80285\nAnswer: 127\/80285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 - -91. Let w = b + 37.9922. What is w rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-365)\/657*3\/(-10)*-10\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1768 + 1982 = -5*k. Let f = k + 1228. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 0.3, 0, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 29, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 33 = -27. Let g(j) be the third derivative of 1\/21*j**p + 1\/35*j**5 + 0*j + 0 + 1\/105*j**6 + 2*j**2 + 1\/21*j**3 + 1\/735*j**7. Solve g(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(sqrt(7) - sqrt(1008)*-1))**2 - (-2 + sqrt(192) + 3))*5.\nAnswer: -40*sqrt(3) - 830\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1868*s**3*v**3 + s**3 + 2*s**2*v + 25*s*v**2 + 8*s*v - 7*v**3 - 12007*v wrt v.\nAnswer: 11208*s**3*v + 50*s - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-2)\/(-4)). Suppose 0 = -2*k - 4*w - 1 - 3, -3*k - l = w. Solve k*x = x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3600 - 2256. Does 64 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3997 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.4548 rounded to 0 decimal places?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1*2\/(-10) - 96888\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -27. Let d(t) = -b*t + 6*t + 3*t. Let z(c) = 3*c. Calculate d(z(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36963 times -2\nAnswer: 73926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*w - 4, 196 = 3*r + 4*w. What is the remainder when r is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-18) + 280\/18. Suppose y = 2*q - 2*y - x, y + 4 = 0. Find z, given that 6\/5*z**q - 4*z + 6\/5 = 0.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2956 is divided by 925.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -9*g + 120. Let p be (g\/40*2)\/((-6)\/(-20)). Sort p, -4, 6 in decreasing order.\nAnswer: 6, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-10*(30\/3)\/(-50))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-101)\/(-101)*(-2)\/(-8)*16*(-13)\/1612\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) + (-8)\/(-4). Suppose 2*f + 0*f = d*n - 14, 19 = -n + 5*f. Suppose 15*t - 2*t**3 - 5*t + n - t - t**3 = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 226970 and 1450?\nAnswer: 32910650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, x: 1, k: 2, r: 1, c: 1}. What is prob of picking 1 x and 2 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k - 6, -2*k = 5*s + 1. Let i be -1*(-1 + -2)*s. Factor 4*z**2 + i*z**3 - 13*z**3 + 4*z**2 - 2*z**2 + 4*z.\nAnswer: -2*z*(z - 1)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0617 + 0.059. Round j to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**2 - 5 + 1 + 2 + 14*o**2 as t*o**2 + u*o + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 14*s - 516. Calculate x(36).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119140841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 129.4 and 54619595?\nAnswer: 54619465.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8996.249 decades?\nAnswer: 1079549.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1822.147 tonnes?\nAnswer: 1822147000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 47. Let n = j + 75. What are the prime factors of (n\/12)\/(4\/18)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**3\/3 + 238. Let c(f) be the second derivative of f**3\/3 - 2*f. Determine l(c(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 330, 2, 14, -3 in increasing order.\nAnswer: -3, 2, 4, 14, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-54))\/(-6*(-2)\/27)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(300))**2 - (sqrt(21) + (sqrt(3024) - (-2*sqrt(3024) + sqrt(3024))))\/sqrt(7).\nAnswer: -25*sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -33*v. Give b(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 27. Let n(c) = c**3 + 7*c**2 + c - 7. Let r be n(j). Let p = -4 + r. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**4\/12 + 13*b**2 + b. Give z(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*z - z = -12, 0 = 2*h - 3*z + 12. Let x = 14 - h. What is the greatest common factor of x and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r + 6. Let h(s) = 8*s - 5. Let p(o) = 3*f(o) + 4*h(o). Let k be (4 - 0)*(-7)\/14. Determine p(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 19, 1, 21976 in descending order.\nAnswer: 21976, 19, 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - w**3 + 3 + 11 - w**2 - w in the form r*w + d*w**3 + v + m*w**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11942 and 34174?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1256 or -39.968?\nAnswer: 1256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + (-84)\/24.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62412071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 11*p + 1. Let r be u(-13). Suppose v + r = 112. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -890*s**2. Let v(q) be the third derivative of 13*q**5\/60 - 5705*q**2. Determine v(k(z)).\nAnswer: 10297300*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*d = y + 881, -4*y + 3511 = 3*d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + -3 + 7 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -0.2 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b20f (base 16) to base 14\nAnswer: 1287d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/4*5266\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1765*h + 2. Let t(y) = 17*y + 1. What is t(s(q))?\nAnswer: 30005*q + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*j + 556*j - 98*j + 1058*j.\nAnswer: 1812*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/29814876 and 47\/946504?\nAnswer: 59629752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**5\/4 - 2097*j**4 + 1571337*j**3\/4 + 407523*j**2 - 2369619*j = 0.\nAnswer: -3, 0, 2, 203, 2594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0 - 12. Suppose 9*h - o*h + 35 = 0. Let r be (4\/h)\/((-4)\/14). Solve -4*n + j - 11 = 0, r*n + 5*j = n + 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7901 - -7900.9798. What is i rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 3)*(-71925*s + 3548*s + 14880*s - 26430*s) to the form x*s + w and give x.\nAnswer: 159854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 10) to base 2\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(34\/(-8) + 3). Let q(i) = -1 - 2*i - i**2 + 1 + r*i**2 - 2. Let u(k) = -5*k**2 + 2*k + 3. Calculate 3*q(n) + 2*u(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-16)\/100*5\/(-2))\/(6\/150))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbbttmttfb. Give prob of sequence tft.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (8 - 3) + -3 + (-1 - -7) - 55.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1152.9342 and 0.3.\nAnswer: 345.88026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8821386.345 less than -0.01?\nAnswer: 8821386.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aseeiwwaiwesvweww. Give prob of sequence aewa.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*l**2 + h**2*l - 2*h**2 + 160*h*l**2 + 5990*h - 78*l**2 + 4*l wrt l?\nAnswer: -2*h**2 + 320*h - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*f**3*v**2*z + c*f**3*v*z + 2*c*f**3*z + 2*c*f*v**2 - f*v*z - 31*v**2*z + v*z - 2 wrt v.\nAnswer: 2*c*f**3*z + 4*c*f - 62*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**4 + 3*c**3 - 3*c**2 + 3*c - 2. Let x(j) = j**4 - j**3 + j**2 - j + 1. Let b(o) = -4*w(o) - 12*x(o). Differentiate b(n) with respect to n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8004562414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 - 5*c**3 - 4*c + 20*c**3 + 20*c**4 - 20*c**2 - 16*c.\nAnswer: 5*c*(c - 1)*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*g - 23 = 0, 0*k = -4*k - g + 40. Let i = -16 + k. Let b be (9 + 1)*(-2)\/i. Solve -3*m = -0*m + 12, -b*p + 32 = -5*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-2990)\/(-4) - ((-153)\/(-18) + -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4518 + 4518. Let z(s) be the first derivative of v*s**4 + 0*s**2 + s**3 + 12 + 0*s - 18\/5*s**5. Find the third derivative of z(t) wrt t.\nAnswer: -432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 3*h + 20, -n - 209*h = -208*h - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 4.2 (b) 0.4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15357619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 233\/4. Let p = -0.2 + -0.1. Let r = 387 - 3481\/9. Which is the closest to u? (a) 0.5 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 1. Let p = 5 - 3. Let r be g(p). Solve 4*u - 21 = -5*s, -3*u = 5*s - 13 - r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/3)))**(-3\/10)*f**(-2\/17)\/(f*f*(f*f*f\/f**(-5\/3)*f)\/f*f) assuming f is positive.\nAnswer: f**(-3919\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.92327ml to litres.\nAnswer: 0.07192327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 49 = -3*i - 55, 0 = 2*i + 3*g + 24 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 + 11*q + 8. Let m be z(-4). Suppose -7*i + m = -28. Let v(y) = i*y + 4*y - 9*y. Let t(b) = 19*b. Give v(t(u)).\nAnswer: 57*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 550\/(-50) - 334\/(-30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 453, 469, 485, 501, 517?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mseseu. What is prob of sequence eu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/13107 and -35\/26214.\nAnswer: 26214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v - 55*v = -16 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) - sqrt(2)*-1*1 - sqrt(2))*-6 + (sqrt(2) + 5 + sqrt(2) + 1 + -1)*5 + -4)**2.\nAnswer: 1176*sqrt(2) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152c (base 15) to base 6.\nAnswer: -33010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 3\/14, 0.17, 2\/27, -0.3, -5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + o**2 + 2*o - 191*o**4 + 85*o**4 + 94*o**4 in the form d*o**2 + c*o**3 + x*o**4 + t*o + y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25284 + -22261. What are the prime factors of j?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 31. Suppose 24*r - 307 = -r - 57. What is o(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**(3\/8)*(u**(-1))**(-35) assuming u is positive.\nAnswer: u**(143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -16.7. Suppose -3*q - a - 5 = -0*q, -5*a = -q - 7. What is the nearest to q in -0.3, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 6. Let i be g(6). Let l = 83.9 - 86.9. Which is the smallest value? (a) 3 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 97 (b) -0.5 (c) 324 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.02 (c) -110 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 662 + -659. Which is the nearest to -2\/5? (a) 1 (b) w (c) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 3*n**3 - n**3 + 0*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*x + 39. Let f(i) be the second derivative of 0*i**4 + 1\/3*i**3 + 0*i**2 + 1\/30*i**6 + 0*i**x + 0 + i. Find the second derivative of f(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from uuuuunuuuuunnuuunun.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341594 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40500?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6235 - 75*l - 72*l + 6076 + 21*l - 97*l.\nAnswer: -223*l - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63456229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 2*u)*(-2*u + u**2 + 2*u - 4*u).\nAnswer: 2*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmtumuuuxvcxu. Give prob of sequence ct.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 172484989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 48\/5 (b) -5\/3 (c) 5 (d) -2721 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 104146368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 960 and 230.\nAnswer: 22080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 54058907?\nAnswer: 54058907.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167959 by 1.\nAnswer: -167959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + -1.2. Put 5, -3, k in ascending order.\nAnswer: -3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-1)\/u*u))**(-11\/4))**(-5))**(2\/7))**(12\/5) assuming u is positive.\nAnswer: u**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 171?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2. Let z(s) be the third derivative of -s**6\/120 + s**4\/12 - 23*s**3\/6 + 35*s**2. Let d(f) be the first derivative of z(f). What is d(w(x))?\nAnswer: -12*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159694 - -159732. What is the remainder when t is divided by (36\/16)\/(6\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-2)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 3*b**2 + 2*b**3 + 3*b**2 + b**3 - 3*b**2 + (0*b - 2*b + 4*b)*(0 + 0 + b**2) - 2*b**3 + 3*b**2 - 3*b**2 + 0*b**3 + 5*b**3 + 2*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naeaanwnanwxnwn. What is prob of sequence naw?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 693 = 737. What are the prime factors of y?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + ((-63)\/9 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312115 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96403.\nAnswer: 149, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5*n + 3. Let i be p(-4). What is the units digit of (i - -15)*(13 + -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6368*n + 1142*n - 454662 = 0 for n.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350621 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 4}. What is prob of sequence cu?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78671506.\nAnswer: 2, 39335753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 50*n - 31. Let l be w(16). Let k = 525 - l. Solve 0*y - 1 = -2*y + 3*p, 4*p - k = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.527 take away 1987160725?\nAnswer: -1987160695.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-221)\/(-306) + 14\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 6. Suppose 22 = 5*f + 4*m, -5*f - m = -2 - u. Find the common denominator of 113\/6 and (f\/(-50))\/((-8)\/230).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371 (base 12) to base 11.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 747 (b) -16 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 76*t - 82*t + 16 = 0, 2*h + 5*t = 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24369840 divided by -3740?\nAnswer: 6516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/7 - 6*n**3 + 78*n**2\/7 - 38*n\/7 = 0.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 414877849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5010.363 rounded to the nearest 10?\nAnswer: -5010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - n**4 - n**3)*(n + 0*n + n) + 9*n**4 - 1 - 4521*n**5 + 4514*n**5 - 1.\nAnswer: -9*n**5 + 9*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -110?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 30 = -3*h + 24, 2*h + 2*m - 34 = 0. Let t(k) = -k**3 + 19*k**2 + 20*k + 2. Let p be t(h). Solve v + v = p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 0, -30 = -5*i - q - 4. Suppose 0*j - i = -j. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 4*sqrt(78) + sqrt(78))*5)\/sqrt(6) + 3 + 3.\nAnswer: 6 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 6 - 3 - 9*b**4 wrt b.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*m**4 - 21*m**2*r + 11*r + 3 wrt m.\nAnswer: -108*m**3 - 42*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2251, 4499, 6747, 8995?\n\"Answer: 2248*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1110 and 19314?\nAnswer: 96570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 32000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/89 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384922*d + 1184 = 384954*d for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 12120*g**2 + 12116*g**2 + 0*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 6*o - 3. Let b(z) = z**3 + 122*z**2 + 363*z + 713. Let f be b(-119). Give q(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 33. Let w(b) be the second derivative of b**5\/120 - b**3\/2 + 3*b. Let n(t) be the second derivative of w(t). Give n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.95 + -1. Let r = i - 0.05. Let l = -33 + 67\/2. Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 13. Let z(l) = -s*l + 77 - 77. Let j(h) = h**2. Determine z(j(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v + 0*v)*(-107 - 166 + 54)*(3*v**4 - 6*v**4 + 0*v**4).\nAnswer: -657*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (1\/(-2) + -2). Let j = -29.7 - -30. Suppose 4*h + 2*q = -36, 3*h + 5*q + 45 = -3. Which is the closest to j? (a) h (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107 and 3?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7831812 (base 9) in base 13?\nAnswer: b46b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*g + 20. Solve u = 3*y + 9, g*u = -5*y + 2 - 17 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, e: 8, n: 1, m: 1, k: 1}. What is prob of picking 2 q and 1 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 4*x + 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*s = 19, 4*v + 5*s + 40 = s. Let z(b) = -437142*b + 6. Let u be z(v). What is u rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1\/2, 0.622763, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 6*x + 5. Suppose -u + 4*p = -2*u + 15, p = 3. Suppose 2*f = -r + 1, 0 = -5*f + u*f + 4*r + 26. What is the units digit of b(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21058519*f**3 - 139*f**2 - 17598?\nAnswer: -126351114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/2 - 2840*u**4 + 254389*u**3 - 500260*u**2 + 497421*u\/2 = 0. What is u?\nAnswer: 0, 1, 89, 5589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 739969753 or 739969752?\nAnswer: 739969753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -7*o + 2*o. Let i = -76 - -59. Let k = i + o. Solve 5 = k*z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0321*-66230.\nAnswer: 2125.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144704 and 1216.\nAnswer: 144704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 525003, 1050004, 1575005, 2100006, 2625007, 3150008?\n\"Answer: 525001*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -3\/4*m**4 + 0*m**3 + 0 + 4*m - 3\/20*m**5 + 6*m**2. Factor k(i).\nAnswer: -3*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 5*p - 9. Let u be h(-7). Suppose 2*j - 3*j + u*q = 705, 4*q = -j - 687. Is j\/(-9) - 10\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22, -38, -54, -70?\n\"Answer: -16*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 63966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -847.244 + -43233\nAnswer: -44080.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/11 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*z = 3*d + 12, -2*d = -4*z + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**3\/3 - 11. Let p(o) = 2*o + 1. Give p(m(y)).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 8724052 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.622 + -2.7. Let d = -0.036 + n. What is d rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568918?\nAnswer: 2, 7, 40637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 215*o**2 - 4*o + 3. Let i be x(1). Suppose i = 4*q - 62. Suppose -4*t = -q - 91. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/(-105) - 2 - (-928)\/1624?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + -1. Let n = -4 - v. Suppose -n*x = -8*x. Is x greater than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1456*(819\/(-36))\/(-13). Calculate the highest common divisor of 104 and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -882c05 (base 14) to base 6\nAnswer: -242550313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7391865*k - 6255490.\nAnswer: -7391865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 81 + 31*r**3 + 39*r**3 - 157 + 4*r**2.\nAnswer: 70*r**3 + 4*r**2 + 2*r - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/300 + 3*t**5\/10 + 45*t**4\/4 + 225*t**3 + 2*t**2 + 2*t. Determine c so that m(c) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-16461.74\nAnswer: -329.2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 30 = -5*k, 13*k - 17*k = 3*p - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:03 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 8 = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-32)\/(-80))\/((4\/11592)\/(5\/3)) is divided by 62?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7834502149 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32946, -131940, -296936, -527934, -824934, -1187936, -1616940?\nAnswer: -2111946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) + 8\/3. Let k = 7 - v. Solve 11 = -k*m - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, k: 1, a: 1, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3.57, -5\/4, 0, -5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*i - 410*i + 87054 - 23718 = 467*i for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 + 6*d - 2. Let r be p(5). Suppose 0 = -7*s + 3*s + 104. Suppose s = -v + r*v. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 6:37 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 13*u + 1. Let b be w(-14). Let r(d) = -20*d - 32. Does 19 divide r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:51 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/6)\/(3\/(-6)). Calculate the remainder when (l\/2)\/(14\/(-476)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 11 = s, -4*s = 5*m - 42 + 35 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let o be n*2*3\/2. Let s(x) = -3*x**3 + x**2 + 3*x + 2. Let d be s(-2). What is the highest common divisor of d and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {q: 7, j: 3, r: 5, t: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 7. Calculate the remainder when 21 is divided by x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15484141 is divided by 1807?\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/9314 + -37741\/903458. Which is the closest to -0.2? (a) -0.1 (b) 1\/5 (c) u (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 7*p. Let n(x) be the third derivative of x**5\/12 - 5*x**4\/8 - 13*x**2. Give -4*n(h) + 9*u(h).\nAnswer: -2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 14) to base 16\nAnswer: -e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*g + 23049*d**4 - d**3*g + 4*d**3 - 2*d**2*g - 7*d - 209*g + 37 wrt d.\nAnswer: 48*d*g + 553176*d - 6*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 909, -81, 25 in increasing order.\nAnswer: -81, 25, 909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 0 + 8 + 2*t**2 + 0 + t to y + j*t**3 + m*t**2 + d*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82916 and 1634?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 996\/(-166) + (-26)\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1104.4 - -1244.62. What is a rounded to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*2\/35*-5)\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 780, 810, 856, 924, 1020, 1150, 1320?\n\"Answer: j**3 + 2*j**2 + 17*j + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4324 - -4332. What is the highest common factor of 78 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -732, -5188, -17314, -40950, -79936, -138112?\n\"Answer: -640*l**3 + 5*l**2 + 9*l - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + 124\/(-8))\/((-18)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - 21*(-88474)\/32550.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:37 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 10 - 10. Solve c - j = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/4, -0.02698, -3, -7, 0 in ascending order.\nAnswer: -7, -3, -9\/4, -0.02698, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51847*t + 27679 wrt t.\nAnswer: 51847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + r**2 + r + 2. Let n be u(0). Let c(l) = -10 + 15 + n*l - 3*l. Calculate the remainder when 30 is divided by c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 40 = -2*c. Let r be c\/4*(-16)\/(-10). Find the first derivative of 15*i + 3*i + r*i - 7*i + 9 wrt i.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076528407?\nAnswer: 2076528407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**14\/(f\/f**(-2\/9)))\/(f**(4\/13)*f**(-17)\/f))**(1\/10) assuming f is positive.\nAnswer: f**(713\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**3 - 184*z**2 + 9802*z + 16820.\nAnswer: -2*(z - 29)*(z + 58)*(3*z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2576345 is divided by 4063.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 185\/3, -4, 390 in descending order.\nAnswer: 390, 185\/3, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734991 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 8\/5349?\nAnswer: 8\/5349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 12:32 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 (base 11) in base 13?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 799528 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/(-5))\/(-2) - (-183 + 169).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 + 124. Calculate the highest common divisor of u and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16801254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-9576)*-76)\/((-122)\/(-18))?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/60 - c**4\/24 - 2*c**3\/3 + 22*c**2. Give q(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 48*r**2 - 149*r - 267. Determine k(45).\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31408, 31607, 31814, 32035, 32276, 32543?\n\"Answer: c**3 - 2*c**2 + 198*c + 31211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1807 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*l**5 + 6 - 5*l**5 + 2*l - 11*l**5 + 11 - 2*l**4 wrt l.\nAnswer: -640*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = 4*t + z, -3*t + 9 = 3*z. Suppose -r - 16 = -5*r. Suppose r*d = -d. Solve d*w + 2*w = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 4:00 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.162 - -6.962. Let k = 52.2 + -52. Is s > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010011100 (base 2) to base 14.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 457 by 42.\nAnswer: 457\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.23 - -1.31. Let t = -0.08 + o. What is the third smallest value in t, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/14)\/(s\/((s*((s*s\/(s\/s**7)*s)\/s)\/s)\/s))*s**0\/s**(2\/7) assuming s is positive.\nAnswer: s**(81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97710100?\nAnswer: 2, 5, 409, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17440 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 2*r**3 - 3*r**3 + (-74*r + 49*r - 25*r)*(4*r - r - r)*(-r - 1 + 1) in the form j + h*r + u*r**2 + k*r**3 and give k.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1058464 divided by 34144?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9521401 is divided by 578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 3539286*g - 3539284.\nAnswer: -2*(g + 1)*(g + 1769642)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1019*i + 20677. Determine v(-22).\nAnswer: -1741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12980 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 6*t**2 + 9*t + 5. Let w be v(-3). Let m(k) = 1239 + 4*k - 1239 - w*k. Let y(a) = 3*a**2 + a**2 - 6*a**2. Determine m(y(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300907 to the power of 1\/2, to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(13) - sqrt(325))*5 - sqrt(13)) + sqrt(143)\/(sqrt(11) + (-3*sqrt(1331) - sqrt(1331) - sqrt(1331))).\nAnswer: -2269*sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y + 31*y + 3264 = -7*y - 10*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1155306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 798464, -3, -7 in descending order.\nAnswer: 798464, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-147 - 17*s**2 + 147)*((-4 + 4 + s)*(3 - 5 + 1) + 0*s - 2*s + 0*s) to t + y*s + n*s**2 + o*s**3 and give o.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 15921 = 4471. Let u(x) = 66*x**2 + 1. Let l be u(3). Let z = c + l. Round z to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18930*u*x**4 - 3*u + 3*x**3 + 1366*x - 11 wrt x.\nAnswer: -227160*u*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1338958259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 12*k - 8. Is f(10) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -57. Let t(c) = -2*c - 10. Let j be t(o). List the prime factors of 3*116\/15*j\/(-4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1711112276 by 4.\nAnswer: -427778069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 12*j - 19. Let g be s(-9). Let k = 13 - g. Suppose -u = -k*u - u. Solve 0 = -u*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + -3 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(77\/11 + -13). Is l < 1\/377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 12*z**2 - 8*z. Let u be y(12). Let s = 199 + u. Let r = s - -72. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.027 minus 1?\nAnswer: 1.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l - 53*l = -103*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + t. Is 6 a factor of z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-784)\/480 - 8\/(-60). Let c = 9 - 5. What is the nearest to -9 in -0.2, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101 - 2*q + q**2 - 124 + 2*q in the form r*q + t*q**2 + j and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 112384476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 2468?\nAnswer: 246a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1270996, -1270998, -1271000?\nAnswer: -1271002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83, 157, 231, 305?\n\"Answer: 74*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 2*q + 5*g, 2*g = 3*q - 52. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -5*8\/(440\/121).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 7. Let m(r) be the first derivative of r**3\/3 - 2*r - 6. Determine 21*m(s) + 6*t(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -506, -37, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 8. Is 12 a factor of (1 - 0) + m + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 28. Let f be o(-9). Let t(s) = 4*s + 0 - 3 + 4. Determine t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v**(-1\/9))**(2\/9) assuming v is positive.\nAnswer: v**(-164\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-7830) + 49 + (-90323)\/1845?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.36 - 6.4. What is the second biggest value in 0, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90296791913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10728, -10753, -10778, -10803, -10828, -10853?\nAnswer: -10878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42 from 8.7.\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21115427.\nAnswer: 21115427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 12*h - 7. Let o(k) = -k**3 + 2*k**2 + 7*k - 5. Let b be o(4). What is the tens digit of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 26*y + 9. Suppose 17*q = 12*q + 5*r - 50, 3*r = 4*q + 39. Calculate h(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 - k**4 + 4*k**4 + (2 + 3 - 3)*(-15*k**4 + 10*k**4 - 19*k**4).\nAnswer: -46*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 11*y + 24. Let v be r(10). Suppose -44*k = -v*k - 20. Determine j so that -3\/5 - 31\/10*j - 37\/10*j**k + 7\/10*j**4 - 1\/2*j**3 = 0.\nAnswer: -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303 and 47571?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-176)\/24 - -8 - 28\/24. Let v = 54 + -217\/4. Which is the closest to v? (a) -8 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 337 + 5?\nAnswer: 33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/51, 1329, 4\/9, -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95349467 divided by 1.\nAnswer: -95349467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.95092l?\nAnswer: 22950.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + u - 1. Let s be c(1). Suppose -s*w - 909 - 1071 = 0. Round w to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-1\/25)\/(c**2)**(-2\/65) assuming c is positive.\nAnswer: c**(-6\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18339 + 18335.53. Which is the third biggest value? (a) -1 (b) x (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -204 + 203. Let w(u) = -12*u**2 + 2*u + 1. Calculate w(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 0.2, 176739?\nAnswer: 176739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from llccllclcclclccc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let l = s - 2. Let t = 7\/55 + 3\/11. What is the closest to l in 0.2, -1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/63*15\/8*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79882405*g + 44567284 wrt g.\nAnswer: 79882405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -2, 0, -51 in increasing order.\nAnswer: -85, -51, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = -0*o. Let s be (-2)\/o - (-15)\/(-9). Sort s, 0.4, 1 in ascending order.\nAnswer: s, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 13. What is c(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**5*d)\/d*d**(12\/5)\/d)**26)**30)**(1\/37) assuming d is positive.\nAnswer: d**(4992\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 + 240. Suppose -2*c - 2 = j, 71 = 3*t - 3*c + 5. What is the smallest common multiple of t and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 - -115. Suppose -j*c + 10*c - 828 = 0. Suppose -82 = -2*s + g + 182, -s - g = -c. List the prime factors of s.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (1 - (-2 + 5)). Factor 4*z**2 - 2*z**i - 4*z + 0*z**2 - 6*z**2.\nAnswer: -4*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 3. Let d be x(-3). Suppose -7 - d = 2*j. Let w = j + 6. Solve w = -k + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + 24. Suppose -5*k = -5*u - 85, -k - 2*k + v = -2*u. Let h be (-2)\/3*u\/2. Let j(a) = -a**3 + 4*a**2 - 4*a + 4. Determine j(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449 a factor of 33112548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgzjwzgzmkwgwwjzgzz. What is prob of picking 1 m and 1 j?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -135*m - 22944. Calculate t(-170).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j - 40*j + 5*l + 533 = 0, 0 = 4*j + 4*l - 700. Let n be j\/(-33)*1*-3. Solve 4*w + n = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/8 (c) 0.5 (d) -0.09514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2 and -79\/5122?\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - q + 88 - 1065, -4*q + 952 = -3*j. Let m = -189 - j. Calculate the highest common factor of m and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by ((-186)\/(-48))\/(79\/5688)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) + 12\/20. Let n = 6 - p. Suppose 4*k = -18 + 158. Calculate the highest common divisor of k and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 1236580862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52223066 divided by 2.\nAnswer: 26111533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -4*b**5\/5 - 22*b**3\/3 + 14. Find the third derivative of s(v) wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1351 + -1?\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8070980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 24\/(-9))*3. Let g(y) = 4*y - p*y + 9*y. Let f(z) = -16*z**2. Calculate f(g(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -0.03, 2, -2 in ascending order.\nAnswer: -2, -0.1, -0.03, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-90)*((-3)\/5 - 834\/(-1140))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - w + 1. Let s be r(-1). Let h be s\/((-3)\/(-8 + -1)). Sort -4, h, 1 in decreasing order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -634400 to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 12566 + 12741 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + n**3 + 0*n**3 + (-22*n**2 - 7*n**2 - 4*n**2)*(0*n + 3*n - n) - 3*n**3 + 2*n**3 + 2*n**3.\nAnswer: -66*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 - 9*j**2 - 7*j - 13. Let u(t) = 2*t**3 - 9*t**2 - 7*t - 12. Let r(x) = 4*u(x) - 3*v(x). Determine r(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -115, -172, -229?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219975465 and 87660?\nAnswer: 7305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 7*i - 3. Is f(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 259.56 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 29*s - 2. Let y be o(-5). Let w be (32\/6)\/(7\/y). Let g = w - -445\/4. Is 1 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 9.2202533.\nAnswer: -11.2202533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 - 137. Is a less than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -28 (c) -3 (d) -20 (e) -18\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -30. Suppose -x + 5 = 3*f, -5*x + 5*f = -4*x + 11. Let r be -2*(x\/2 + 0). Which is the third biggest value? (a) -0.1 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19621 - 18273. Calculate the highest common factor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f = -28*f - 16. What is the greatest common factor of f and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(sqrt(208)*1)**2 + 3*sqrt(208)*2 + -2.\nAnswer: 24*sqrt(13) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4*c + 40, 3*n + 76*c - 70*c - 18 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73485 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*(3 - (-176)\/(-60)))\/(18\/72). What is the smallest value in -0.2, m, -7\/2, -5.5?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6922971 and 13845942.\nAnswer: 13845942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:54 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 l when four letters picked without replacement from {l: 6, t: 13}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a + 3*a + a - 11 + 1. Let j be k(14). Solve -j*h + o = 8, -5*h = -2*o - o + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8402 and -89\/52.\nAnswer: 218452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56600 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13448 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 3*d**2 + 9*d - 19. Let y = 59 - 42. Calculate the least common multiple of y and s(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v*y**4 + 15*v*y**3 - 2*v*y**2 - 7*y**4 + 14*y**3 + 18*y**2 wrt y.\nAnswer: -24*v*y + 90*v - 168*y + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**4 - 605*u**2 + 8*u**4 + 3*u**4 - 20*u**4 + 4*u**3 - 2*u**3 as x + t*u**2 + y*u**4 + i*u**3 + l*u and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p. Let u = 6 + -4. Let s(x) = -14*x**2 + 5*x**u + 10*x**2. Determine s(b(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*c = -197*c + 248. Is 5 a factor of -2 - 0 - (c - 20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 475 - 291. Is f bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 317, -1, -5\/4.\nAnswer: -5\/4, -1, 2, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)*-2)\/(sqrt(1440)*1 + sqrt(1440)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1665\/(-111) + (16 - -1). Solve v*i = -2*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {k: 4, o: 4, z: 7}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.088518 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2085, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7858?\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 123. Let y = l + -80.21. What is y rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12260, -12257, -12252, -12245?\n\"Answer: o**2 - 12261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**3 - t**2 + 15*t + 45. Calculate the remainder when x(-4) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -476*v + 16. Let p(d) = 28*d - 1. Let x(n) = 6*g(n) + 104*p(n). Let i be x(3). What is the highest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 20*t - 40. Calculate s(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 812\/(-87)*63\/56*32\/(-48).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(19)) + sqrt(19))**2 + sqrt(19) + (1 + -2*sqrt(19))**2 + (sqrt(19) - -3*sqrt(475)) + (2 + 2 + sqrt(19) - sqrt(19)).\nAnswer: 21*sqrt(19) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 6*i**2 + 3*i - 6. Let r be c(6). Suppose -12 - r = -6*h. Is 7*(8 - h)\/2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 88425.\nAnswer: 1\/29475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 7*r**2 - 12. Let d be z(-9). What is the tens digit of d\/(3 + (1 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)*a)\/(a*a*((a**(-8\/5)\/a)\/a)\/a)*(a*((a**30*a)\/a*a)\/a)**29 assuming a is positive.\nAnswer: a**(9031\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -918.6 + 117.47. Let i = -805 - u. Round i to 1 dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2735 = 155812\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 177994055 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1908 = -4*n, -5*n + 422*t + 2388 = 420*t. Calculate the remainder when n is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 2*x + 130. Let f = 617 - 605. Let p be h(f). Solve u - 6*u - p = q, u - 5*q + 28 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 394*a**2 - 8185*a - 306. Let b be o(-372). Let m = 235 - 50. Let r = m - 118. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 2. Suppose 11*l - 18*l = -56. Is q <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158*c + 495*c - 359*c + 2503*c + 2320*c**4 + 1259*c wrt c?\nAnswer: 27840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + 4*(1 + sqrt(112))*-6))**2.\nAnswer: 19968*sqrt(7) + 260752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + 7 + 7 + 74 + -146\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -3*h**2\/2 + 19. Let g(z) = 8*z. Let l(p) = 11*d(p) + 4*g(p). Let u(i) = -4*i. What is u(l(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (945*x**2 + 18*x**3 - 945*x**2)*(69 - 59 - 98) to the form s*x**3 + n*x**2 + a*x + b and give s.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12554944, 12554929, 12554914, 12554899?\nAnswer: 12554884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11708 - 1459. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8006, -16490, -24970, -33446?\nAnswer: -41918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (0 - 11) - 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14034411, 14034418, 14034423, 14034426, 14034427, 14034426?\nAnswer: 14034423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3*(-12)\/(-8). Put h, -0.1, 0.3 in ascending order.\nAnswer: -0.1, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 5:06 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 109 (b) -1\/3 (c) 0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:30 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4, 2\/5, 2\/27, 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -0.15. Let d = 220.2 + t. Let j = d + -220.0198. What is j rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 10*v + 12. Let p be q(-11). Let l = p + 1. Which is the third biggest value? (a) l (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 1 (c) 1.11 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18753 and 104139.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78304, -313246, -704848, -1253110, -1958032, -2819614, -3837856?\nAnswer: -5012758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - (sqrt(114) + -3*sqrt(114)*-1) - sqrt(114)))\/(sqrt(24)*1).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3365*n - 170 + 170.\nAnswer: 3365*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 1.15, 6, 1, -23, -1\/4, 0.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + f**4 - 2 + 2*f + 2*f**2 + 0*f in the form x*f**3 + o*f + r + v*f**2 + l*f**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 20*n - 8*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 681, -638, -3 in decreasing order.\nAnswer: 681, -3, -638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 102\/14 - 6\/21. Let a = n + -10. Let s(y) = -y**2 + y. Let r be s(1). What is the second smallest value in r, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 + 0.1200033. Round o to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*f - 64 = 94*f. Solve 9*z - f = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*l + 97 + 56 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -0.0025?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - g + 2*g + (-2 + 7 - 2)*(-2*g + 0 + 0) + (2 - 1 + 0)*(-2*g + 2*g - 2*g).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 66 = -4*s, 4*p - 69 = 3*s + 19. Suppose -6*i = -i - p. Solve -4*a - 6 = 4*n + 2, -5*a + i*n + 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 1. Let w(d) = 2*d**2 - 5*d - 441. Let i(b) = -6*h(b) - w(b). Is i(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1314675?\nAnswer: -1\/262935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 81149600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5 - 6 - 4 - 2 + 16*u - 3. Let c(i) = 5*i - 3. Determine -20*c(a) + 6*p(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.01, 5, -1\/311?\nAnswer: -1\/311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/252 + 2\/(-12). Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*x**2 - 3*x + 193*x**2 + 5*x)*(3*x**2 + x**2 - 5*x**2).\nAnswer: -344*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 38. Determine m(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -0.012 (c) -0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yin when three letters picked without replacement from micnfciyiciiiiiiini.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -41, -28, -21, -26, -49, -96?\n\"Answer: -o**3 + 6*o**2 + 2*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6926177771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 - 3*m. Let a be b(3). Let w(l) = l**2 + l + 3. Let r be w(a). Let u = 75 - 79. Put r, -1, u in decreasing order.\nAnswer: r, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3999 divided by 31\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16862637, -33725290, -50587943, -67450596?\nAnswer: -84313249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 15 = -8*y. Let a(f) = 5*f**2 - f**y + 2*f**3 - 1 - 98*f + 100*f. Give a(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/10 (b) 24 (c) 0.3 (d) 5378 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3565 - -39251\/11. What is the common denominator of 73\/66 and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 7 + 11)*(q + 2*q - q)*(2 + q - 2) as u*q + c*q**2 + h and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463.2 + 487.413. Let p = 0.013 - t. Let r = p - -24.063. Round r to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218006652 divided by -2\nAnswer: -109003326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/120 - y**5\/30 + y**4\/6 + 7*y**3\/6 - 13*y**2 + 3*y. What is l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -63, -57, -17, 69, 213, 427, 723?\n\"Answer: 2*v**3 - v**2 - 27*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 15 + 39 = -s, -3*s + 5*n - 30 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l + 4*w = 26, 4*w = -2*l - 44. Let q = -10 - l. Let o be 99\/21 + q\/14. Solve -j + 1 = o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 466*t - 29 = -462*t, -2*s = -2*t - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 7421*s + 2758*s.\nAnswer: 10179*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 606457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 19*c**3 + 5*c**2 + 5. Let v(y) = -10*y**3 - 2*y**2 - 2. Calculate 2*o(i) + 5*v(i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 1. Let h(n) = 4*n + 3. Let o(g) = h(g) + 3*l(g). Let i(v) = -3*v. Determine i(o(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y + 0*y + y - 4*y to the form x + c*y and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 7\/2*x**3 + 0*x**2 + 0 - 6*x. Let s(t) be the first derivative of -t**2\/2 + 5. Calculate g(s(w)).\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -8.99. Let f = y - 0.09. Let n = -4 - 0. Which is the smallest value? (a) f (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 4*m**4 + 110*m**3\/3 + 56*m**2 + 367*m. Factor g(l).\nAnswer: 4*(l + 4)*(12*l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m. Let p(t) = 16*t. Let v(r) = 10*o(r) - 3*p(r). Let u(g) be the second derivative of g**3\/3 + g. What is v(u(j))?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33776 (base 12) to base 9.\nAnswer: -113850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2 - 12. Let q be 4 + -3 + y\/5. Solve -q = 4*k - 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23972?\nAnswer: 2, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r + 5*r**2 + 2*r**2 + 2 + 6*r**4 - 9*r**2 in the form u*r + p*r**3 + z*r**2 + l*r**4 + x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-6)*(4 + 1 + 1). Solve a + v = 4*h, 0 = 3*a - 2*h - 0*h + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247 - -183. Is k != -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f - 2*n, 4*n = -5*f + 3. Let r(g) = -g**3 - 9*g**2 + 11*g + 8. Let u be r(-10). Which is the smallest value? (a) -2\/15 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61a0028 (base 11) in base 9?\nAnswer: -22518483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 10*v**2 + 11*v + 2. Let p be f(9). Suppose 5*b = -j - 15 - 7, 4*b + p = 0. Find g, given that 0*g**2 + j*g**2 - g + 2*g - 2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 4*o - 147, 76*o = -60*p + 57*p - 44 - 99 - 244 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from {q: 17, i: 3}.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*k + 30*k - 27. Let u be -2 + k - (-286)\/65. What is the nearest to 0.05 in 3\/7, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778205 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028091 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 18 - 6*w**4 + (2 + 2*w**2 - 2)*(0*w - 2*w**2 + 0*w) + w**2 - w**2 - w**4.\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 + 52 + 162)*(0*j - j - 2*j) as i*j + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*w - 230*w + 5*w**3 - 227*w.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 442.6, -2, -8, 3\/5?\nAnswer: 442.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.217 - 18.1. Let c = a - 0.11700374. Round c to 7 decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*r - 20. Suppose r*k = 315 + 81. Let i be -2 - (2 + (-13)\/1). What is the highest common divisor of k and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) -429 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520)*-1 + sqrt(520))\/sqrt(10) + sqrt(832)*4 + 2)**2.\nAnswer: 128*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = -k - 64. Let n be (111\/21)\/(k\/14). Let w = -2\/25 - n. Sort w, -6, 5 in descending order.\nAnswer: 5, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 110\/(-25)*15\/(-6). Solve -j*w + 13*w + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127730486 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104937593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/38*8\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(sqrt(2)*4 - sqrt(2)) + -4 - sqrt(22)\/(sqrt(396)*-3))**2.\nAnswer: -220*sqrt(2)\/9 + 4969\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 851979 = 2*h + 2*z - 3*z, -3*h = z - 1277971. Suppose -2*g = -w + 118404 + 165601, -3*g - h = 2*w. Round g to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i**2 - 8*i + 6. Let t be y(3). What is the units digit of 25\/((-15)\/t + (-2)\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 161.087\nAnswer: -128.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 6*f**2 - 2*f**2)*(-f + 0 + 0)*(-1 + 1 + 3 - 3 - 2 + 3 + (2 - 1 + 1)*(2 + 1 - 2)).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3145*n**2 - 248*n + 5. Let k(j) = 53475*j**2 - 4215*j + 85. Let u(m) = 35*i(m) - 2*k(m). Let u(c) = 0. What is c?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 3*q**3 + 2*q**3 - 4*q + 0*q + 376*q**2.\nAnswer: -q**3 + 376*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 21*m**2. Let r(d) = 32*d**2. Calculate -5*r(c) + 7*w(c).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-112)\/21)\/(-4))\/(14\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 1 - 1)*(2 + 2 - 6)*(-34 - 6*p + 34) in the form f*p**3 + u*p**2 + y*p + v and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -8, 63?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4467?\nAnswer: 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/24*4*-62. Suppose 2*u - 19 = -151. Let f = d - u. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 + 31*x - 20. What is the smallest common multiple of (10\/(-4))\/(1\/(-4)) and v(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 792743 * 0.2\nAnswer: 158548.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21)\/((-1)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**5*u + 5980380*s**2*u**2 + 5*s*u**2 + s + 12*u**2 - 30501 wrt s?\nAnswer: -40*s**3*u + 11960760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4*t + t)*((-5*t + t - t)*(3 + 1 - 1) + (0 - 1 + 2)*(0*t + t + t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + x + 471 = 475, -16 = 2*n + 5*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(147) - sqrt(147)) + sqrt(147)) + ((sqrt(3) + sqrt(1728)\/sqrt(9) - sqrt(3)) + 0)**2.\nAnswer: 28*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8514 and 1089.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6690, 6687, 6684, 6681?\n\"Answer: -3*b + 6693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aihaidhaaiap. Give prob of picking 2 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240904?\nAnswer: 2, 30113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 182, 212, 242, 272?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1 + 3 - -1). Suppose -20 = -h*s + 2*s. Suppose -5*a = -f + 15, 0*a = 5*a + s. Solve 2*j - f*j = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20590 + -20585. Let q = -8 - -10. Suppose -q*v - 2*y + 3 = -7*y, -4*y = 4*v - 48. Calculate the lowest common multiple of v and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-8) + -3)*4. Let g(j) = 23*j**3 + 3*j**2 - 3*j - 4. Is g(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**3\/6 - 42*x. Let g(y) = -3. What is g(n) - 3*t(n)?\nAnswer: 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2132*o**2 - 3. Let j(n) = 81*n**2. Calculate y(j(i)).\nAnswer: 13988052*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 13?\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677935837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f - -6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.303 + -1.741. Let s = 0.044 + y. Which is the second biggest value? (a) 4 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 0*p**2 + 9\/4*p**4 - 2*p**3 + 0*p + 10. What is the third derivative of a(j) wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bll when three letters picked without replacement from {s: 1, l: 4, b: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57874*d**3 + 9*d - 9*d - 57883*d**3 + 173632*d**3 - 57876*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -252493\/3 at least as big as -84164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Suppose 14*g - 8*g - 12 = 0. Let n = -12 - -18. Let m(x) = -n*x**2 - 2*x + g*x. Give l(m(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2607 and 52912541.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4.6. Let g be 27\/(-54) - 78\/(-4)*-1. Let s = -18 - g. What is the biggest value in s, -1, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1990935?\nAnswer: 1\/1990935","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (-7 - -5) + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 36*y**2 - 2*y + 2. Let p(m) be the first derivative of m**2 + 1245. Give x(p(i)).\nAnswer: 144*i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 685907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1068*t**2 + 22287034*t + 208680.\nAnswer: 2*(t + 20868)*(534*t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 309*u**6 + 2*u**5 + 5*u**3 + 291*u**2 + 548*u wrt u?\nAnswer: 37080*u**3 + 120*u**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*v - 0*v. Let q = v + -1. Let l be q\/(-9) - 2 - -1. Is l at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 4 = -2*s. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 1061*h - 69951. What is b(63)?\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2240\/192)\/((-15)\/(-27))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w - 5*a - 25 = 0, -23 = -3*w + 5*a. Let k = w + -2. Let d(f) = -2*f**2 - 4*f + 2. Let i(x) = 1. Let p(o) = k*d(o) + 4*i(o). Factor p(h).\nAnswer: 2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = -3*g, -5*g = 3*s + 34 - 3. Let j(a) = 3*a + 14. Let v(z) = 5*z + 21. Let k(h) = g*v(h) + 8*j(h). What is k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77451083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4\/7 - 48*d**3\/7 + 219*d**2\/7 - 270*d\/7 = 0.\nAnswer: 0, 2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16974 - 0.06974. Let v = -1 + 4. Which is the second biggest value? (a) j (b) v (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -18. Let h(s) = -s**3 + 8*s**2 + s - 5. Let p be h(8). Let n(i) = p - j + 2 - i. Calculate n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 6) to base 11.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6684 and 26138034.\nAnswer: 26131350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*s + 92*s + 1764 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*(-2524)\/(-6972) + (-2 - -3) and -85\/332.\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -197, -123, -37, 61?\n\"Answer: 6*o**2 + 56*o - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9211 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(19) + (sqrt(171)*-1)\/sqrt(9))**2 - sqrt(19)*-2*-1.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 3, b: 1, d: 1, v: 3, c: 2}. Give prob of sequence cvb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**3*j**2*r - 2*b**3*j**2 + 26*b**3 - b**2*j**2*r - b*j*r - j**2*r + 9*j**2 + 4 wrt b?\nAnswer: -78*j**2*r - 12*j**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5130740 to the nearest ten thousand.\nAnswer: 5130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 3*x + 31 + 32 - 70 in the form l + a*x and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -18) + -31 - (-6 - (-3 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6841783944.\nAnswer: 2, 3, 95024777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11552 is divided by 5775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 6. Let o be g(5). Suppose 0 = 3*v - 4*v. Suppose v = l - 2. Solve -x - y + 3 = -3, -6 = -l*x + o*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -9, -5*f - 5*k = -1 - 4. Suppose -2*m = 3*w + 111, 125 = -f*w - m + 6*m. Let x = w - -87. Calculate the remainder when x is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/11949 and -43\/3.\nAnswer: 11949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaaaagaa. Give prob of sequence ag.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2 = -56. Let r be 1 - (21\/(q\/(-3)) + 3). Sort 2\/15, -3, 0.3, r in descending order.\nAnswer: r, 0.3, 2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnpzenlzlnpz. What is prob of sequence ze?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 41 - 13 = 0. Let a = 73 - 32. Let k = a - l. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5286060 and 1170?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5007.93 centuries in millennia?\nAnswer: 500.793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/35185 and 48\/516425.\nAnswer: 16009175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 37*x**3 - 2*x - 15*x**3 - 3*x**3 + x - 2*x**2 to m*x**3 + c*x**2 + h + g*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + ((-92)\/(-4) - 3) + -3. Let w be (-1 + 38\/4)\/(7\/u). Let q(l) = -w*l - l**3 + 15*l - 4 + 3 + 3*l**2. Calculate q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 335\/4. Let o = 2.8 + -3.8. Let y = -3.02 - -0.02. What is the nearest to o in v, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268800?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 9, e: 7}. What is prob of picking 1 e and 2 o?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1746 or 2?\nAnswer: -1746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555788.4km to nanometers.\nAnswer: 555788400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 101101111000100100101000010?\nAnswer: -101101111000100100101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027229 centuries in months?\nAnswer: 32.6748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4 - f**2 + 1 + 0*f**2 - 2 - f. Let m(t) = 6*t**2 + 4*t - 16. Let j(h) = -2*m(h) - 11*w(h). Give j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 20 = 3*x. Suppose -2*v = -w + 27, x*v = 5*w - 14 - 139. What is the greatest common divisor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1750459361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-372)\/(-2) - (-6 - -5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 55, 75, 75, 49?\n\"Answer: -a**3 - a**2 + 44*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1937 + -1935. Solve n = -h*b - 11, 2*b + 1 + 7 = 2*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 6872?\nAnswer: -2748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:22 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q + 33. Determine d(15).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46257 + 1124?\nAnswer: -45133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -407 (b) 1\/7 (c) 5\/2 (d) 9\/13 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 272 + 275 = 0. Let o be ((-8 - -5) + 0)*n\/(-3). Which is the second biggest value? (a) o (b) 0.06 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.01 - 0.61. Which is the third smallest value? (a) -5 (b) 0.2 (c) k (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.45, 34530 in ascending order.\nAnswer: -0.45, -1\/8, 34530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180350?\nAnswer: 2, 5, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4 (c) -307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-443)\/(-3))\/((-1526)\/(-6)). Let q = 1\/205 + -314\/22345. Let b = q + s. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose -3*x + f + 0 = -5, 0 = -x - n*f + 11. What is the lowest common multiple of x and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**6\/5 + 31*u**2\/2 + 27*u. What is the first derivative of x(r) wrt r?\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f - f**3 + 7\/8 - 1\/8*f**4 - 3\/4*f**2 = 0?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 5. Let h be ((-8)\/(280\/91))\/(2\/(-10)). Suppose 9*y = h*y - 8. Put w, -1, -2, y in increasing order.\nAnswer: -2, -1, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(518\/1184)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 626 - 199. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 7*k**4\/12 - 2*k**3\/3 + 3*k**2\/2 + k. Let t(a) = -a**3 + 16*a**2 - 30*a + 24. Let y be t(14). Is d(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -11115*g + 11109*g + t, -2*g - 5 = t - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -44*f**3 - 14*f**2 - 3*f + 8. Let b(p) = 29*p**3 + 9*p**2 + 2*p - 5. Let t(k) = 8*b(k) + 5*o(k). Determine t(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 92 + 95 = 140 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58021124 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1140.758 * -0.18.\nAnswer: -205.33644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:41 AM?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*((sqrt(132) + 1*sqrt(132)*-2)*-3)\/(3*-1*sqrt(192)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a century in years?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1741 divided by 4.\nAnswer: -1741\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*c**2 + 154*c**2 - 226*c**2 + 95*c**2.\nAnswer: 88*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 257.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-153)\/1)\/3*-2. Suppose l - 287 = a. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48021 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Suppose -r*t + 18 = 6. Suppose -5 + t = u. Is 1\/3 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:16 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -8 + 3 + -3 + 2 + 6575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -12. Let a(d) be the third derivative of -d**6\/120 - d**5\/12 - d**4\/12 + d**2. Does 10 divide a(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11826 + 1996?\nAnswer: 13822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5d (base 16) to base 8\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1486 - 47 = g, -7195 = -5*g + 4*y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/16)\/z*z*z\/(z\/z**1*z))\/(z**(10\/3)\/z**1) assuming z is positive.\nAnswer: z**(-121\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 98.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 35931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((11 - (-5 - -21)) + (11 + 3 - 3))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 410770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1323336.34 to the nearest 10000.\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5, 2, -0.5, 1\/5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0272 (b) 2 (c) 0.0103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -5*f**3\/6 - 3*f**2\/2 + 2*f. Differentiate h(x) wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 12. Let o be 126\/(-28)*((-17)\/15 - -1). What is the fourth biggest value in -5, o, 11, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4152 = 5*d, -r + 2772 = -3*r + 2*d. Let y = r + 2052. Suppose -y = -97*w + 94*w. List the prime factors of w.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -306200 - -509103. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 7. What is the remainder when 90 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3650560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101855708 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) 106\/25 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 6*l - 5. Let a be r(-4). What is the lowest common multiple of 18 and 0\/(0 + a) - -14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 16038\nAnswer: -64152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 12363*s + 74215. Calculate z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -25141 in descending order.\nAnswer: 2, -3, -25141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-6))\/(-5))\/((-9)\/(-24))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1851\nAnswer: 7404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 385966 equal to 386125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46059181, -92118360, -138177539, -184236718?\nAnswer: -230295897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012678 to five dps.\nAnswer: 0.01268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-seven fifths of a meter?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2 - 2*g**2 + 3*g**2 - 2*g + 4*g**2. What is the smallest common multiple of r(2) and 2\/(3\/9*2) + 13?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -409*f**4 + 5919*f + 112216049 wrt f?\nAnswer: -1636*f**3 + 5919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -164, -342, -522, -704?\n\"Answer: -i**2 - 175*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 2*h - 4*h)*(-136*h**2 - 165*h**2 + 326*h**2) in the form d*h + f*h**2 + b*h**3 + g and give b.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 881 + 3083. Let n be 4\/10 - 29444\/(-15). Let w = z - n. Calculate the common denominator of -58\/3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -211*q**2 + 11196*q - 669. Determine c(53).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -671, -7, -5, -268, 1, 0 in descending order.\nAnswer: 1, 0, -5, -7, -268, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15153 at most -14928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = 3*a, 3*a = 10148*r - 10155*r - 126 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01908172 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 bigger than 186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 3*r**2 + 5*r + 5. What are the prime factors of f(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3842990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, -1, 3 in descending order.\nAnswer: 5, 3, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*z + 28, -z - 35*f = -33*f - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2 - 477*w - 186. Let a be n(-95). Solve -a*m + 5*v + 15 = 0, -m - v = -6*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 2. Let c be k(2). Let w be 5\/c*7\/(-35). Let g = 1.76 + -1.36. What is the nearest to w in -1\/10, 0, g?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 1. Suppose 1 = -4*j - 3. What is the units digit of p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j - 1 + j**2 + 3 - 16*j)*(2 + 1 - 5).\nAnswer: -2*j**2 + 8*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6091 = 41*g + 89608. Is g greater than -2036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 60*a - 27. What is the hundreds digit of p(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a8 (base 16) to base 8\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-2)*h*h))**(9\/11) assuming h is positive.\nAnswer: h**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 49. Let l be 20\/r*((-674)\/(-4) - 2). What are the prime factors of (-21)\/(-7) + -1*1 + l?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e24 + -4?\nAnswer: 1e20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121494, 485701, 1092712, 1942521, 3035122, 4370509, 5948676?\nAnswer: 7769617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/4, 2, 11, -5\/8, -1\/4 in increasing order.\nAnswer: -5\/8, -0.4, -1\/4, 1\/4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11972*f - 315. Is k(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7056*h**3 + 7060*h**3 - 14111*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + z - 1. Let u(r) = -5*r**3 + 5*r**2 - 30*r + 100. Let p(a) = -u(a) - 35*x(a). Suppose p(c) = 0. What is c?\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 (base 10) in base 2?\nAnswer: -11000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/2 + 9*x**4\/2 + 13*x**3 + 9*x**2 - 27*x\/2 - 27\/2.\nAnswer: (x - 1)*(x + 1)*(x + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/(1*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 6) to base 5.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 6*(8 - 10). Solve 16*q = 2*k + f*q - 21, 12 = 5*k + q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 317 + 179 = 4*i, 0 = 5*s - i - 620. Let z = s + 31. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1064 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 35*m**3 - 13*m - 4*m + 19*m as z + l*m**3 + c*m**2 + g*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*q**5 + 114*q**3 + 8404*q**2 - 2500*q + 36445.\nAnswer: 320*q**3 + 684*q + 16808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**37*g**(-1\/4)*(g*g**0)\/g)\/((g\/(g\/(g*g\/(g**(2\/3)\/g)))*g)\/g*g*g\/(g**(4\/11)\/g)*g)**(-15\/2) assuming g is positive.\nAnswer: g**(16969\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131347 and 67146.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 161*i + i**2 + 2 - 2*i**2 - 110*i - i**2 + 3 - 3 + (-2*i - 4 + 4)*(i + 3 - 3) - 1 + 2*i**2 + 1.\nAnswer: -2*i**2 + 51*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1, 1.1, 0.1, 0.02, 84 in decreasing order.\nAnswer: 84, 1.1, 0.1, 0.02, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 399, 624, 863, 1116, 1383?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8468.12 nanometers?\nAnswer: 0.00000000846812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*8.46.\nAnswer: 67.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + p + 9. Let m(w) = 5*w**2 + 3*w + 26. Let d(u) = 8*h(u) - 3*m(u). Determine d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/3762 and -101\/197802.\nAnswer: 3758238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acn when three letters picked without replacement from {n: 2, c: 3, a: 1, x: 1, s: 4, d: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + (-845)\/52)*3\/(-9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 650 = -f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5\/4 + 275*m**4\/4 - 319581*m**3\/2 + 35683200*m**2 + 531062784*m = 0?\nAnswer: -1029, -14, 0, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 30*l\/7 + 4.\nAnswer: 2*(l + 1)*(l + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7225.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-10))\/(1\/(-5)). Solve j = 2*z + 2*z - 1, 3*j - k*z = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**2 - 10*w. Let l(r) = -4*r**2 - 5*r. What is 7*l(n) - 3*q(n)?\nAnswer: -n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*l = 185*l - 72 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10771 rounded to the nearest one hundred?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/5 (c) -2 (d) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-28 + -6 - (10 + (3 - 11))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4555.70555 rounded to one dp?\nAnswer: -4555.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4714 and 3.\nAnswer: 14142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13113509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-7) + 1 + (-2)\/(-7). Factor -3\/5*l**5 + 12\/5*l**2 + k - 3\/5*l - 18\/5*l**3 + 12\/5*l**4.\nAnswer: -3*l*(l - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - 7 - -1 - (9 + -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369199 is divided by 208?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1379 + 2249. Let w be (0\/(-1))\/(2 + 0). Suppose 5*p - 4*d = 2209, 5*d + k = -w*p + 2*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.7. Let h(t) = 16*t**2 - 7*t + 12. Let w be h(3). Suppose -40*k + w = -13*k. Which is the third biggest value? (a) f (b) k (c) 4\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59128.\nAnswer: 2, 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136842 + -34885. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*h + 55749 = 55812, -3*w = -4*h - 49 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(5*r + 0*r - r)*(2 - 3 + 2 + (2 + 1 - 4)*(-1 + 0 - 1) - 42 - 31 + 17).\nAnswer: -212*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*(-170)\/1326*13*-150\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**4 + 24564*r**3 + 4500464*r**2 + 4475904*r = 0.\nAnswer: -5952, -188, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3 + 0)*((z - 2*z + 3*z)*(0 + 1 - 3) + z + 2 - 2).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15242 equal to -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/(-72)*(-145)\/((-4495)\/(-248))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25701573 divided by -8567191?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3020 * 25\nAnswer: -75500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153.1 + -142. Let m = d + -11. Let k = m + -0.057. Round k to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267029 is divided by 133504.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 561803.7058312 - -1373.2930888. Let t = l + -563164. Let x = 13 - t. What is x rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 93093.1407 milliseconds?\nAnswer: 0.00015392384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -309 - -292.3. Let n = h - -16. Let l = -0.8 - n. Sort -2\/9, 1\/3, l in decreasing order.\nAnswer: 1\/3, l, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-4*b + 4*b - b) - 3*b + 4*b - 3*b + (b - 2*b + 2*b)*(-11 - 14 - 31).\nAnswer: -59*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -826 + 1817. Suppose 11*l - d - 714 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 1 + 1 - 4. Let n(g) = 7*g**2 + 4. Give -3*n(r) - 5*p(r).\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 35. Let v = 19 - 28. Let t = l - v. Which is the third smallest value? (a) t (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*k - 745, -4*k + 996 = -4*s - 0*k. Is 13 a factor of (-9052)\/(-26) + -4 + s\/(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 65*h**2 + 2*h. Let t be i(1). Suppose -m + j + 3 = 0, -t = -4*j - 59. What is the remainder when 53 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -417*k**3 - 196*k - 53*k**2 + 193*k - 8*k**2 - 3*k**2 wrt k?\nAnswer: -2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (81\/(-12) - -3)*4. Let a(t) = -11*t - 1. Let n be a(2). Let b = k - n. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/1690*-5)\/(-3*(-2)\/(-9)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5173 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*v - 150 = -30*v. Let b = -2 - 0. Let d be ((v - -7) + -4)\/b. What is the second biggest value in -1\/2, -3, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2188*k + 5. Let q(m) = 2189*m + 6. What is 5*q(u) - 6*v(u)?\nAnswer: -2183*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18360 - 18364. What is the nearest to 1\/7 in -3, b, 0.4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81521 + -81522. Let b = 0.02 - -0.04. What is the third smallest value in b, -0.2, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from lpplllllpl?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 675640*q**3 - 22393471760*q**2 - 29119997518080*q - 9287994832081920.\nAnswer: -5*(q - 68196)**2*(q + 632)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**4 - 2*q**3 + 883*q**2 - 3027*q + 4 wrt q.\nAnswer: -48*q**2 - 12*q + 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1584)\/(-360))\/((-6)\/(-15))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.13 (b) 17 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -565.39 + 565. What is the second biggest value in 4, 2\/5, -2\/13, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 363, 551, 739, 927?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501444?\nAnswer: 2, 3, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21095\/11 or 1917?\nAnswer: 1917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-1*(sqrt(2) + sqrt(8)))**2)*-5 - ((sqrt(56)\/sqrt(4)*4)\/sqrt(7))**2.\nAnswer: -5*sqrt(2) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 + 2371?\nAnswer: 234c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5564 or -2?\nAnswer: 5564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1\/21, -2, 9?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3164160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0)*-8213 + -1. Let r = n + -12586. What is r rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -5, 2 in descending order.\nAnswer: 5, 2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1725391 is divided by 1199.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849072 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(27) + 4)*-4)**2.\nAnswer: 1536*sqrt(3) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 1. Let a be p(-2). What are the prime factors of -1 - 2\/(-2)*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 7. Let c = -119 + 124. Suppose -3*d = t + c, 3*d = -d. Determine r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1391 and 0.15?\nAnswer: -208.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 101?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -497, 1\/2, 2, 4, -5, 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*i - 15, 3*i + 5*u = 1 + 16. Suppose -p = p + 5*o + 10410, 0 = -i*p - o - 20802. Round p to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2163, -2166, -2175, -2190, -2211?\n\"Answer: -3*z**2 + 6*z - 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -t - 8. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784586546.\nAnswer: 2, 3, 4637, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 49*q - 1070. Let a be d(22). Let m(r) = -r**2 + 7*r - 5. Give m(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Suppose -a*x + 9 = -61. What is the remainder when 53 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 s when three letters picked without replacement from {v: 2, s: 3, b: 1, k: 1, y: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 6*z**3 - 10*z**3 - 8*z**3 + 30*z**3.\nAnswer: 6*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -1, -2, 6, -5, 8, 16.\nAnswer: -5, -2, -1, 6, 8, 16, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeehhhveeevehbhbv?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5*-2*(5 + (sqrt(2448) - (sqrt(2448) - -4*sqrt(2448))) + 0))*-1 + -5)**2.\nAnswer: -45120*sqrt(17) + 3919009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 * -17\nAnswer: -88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16110723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 at most 198219\/3650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -10\/21*g**3 - 25\/7*g**2 - 1\/42*g**4 - 6*g + 0. Find y, given that p(y) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26070.\nAnswer: 2, 3, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**2 - 5*q - 4. Let x be a(-4). Suppose s = -3*k + 12, 0*s = s - x*k - 24. What is the least common multiple of s and 11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5 - 3848276*i**4 + 119*i**2 + 10001*i + 3.\nAnswer: 180*i**2 - 92358624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 7:57 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9224356 minutes to hours.\nAnswer: 0.04870726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12906407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (3 + 16)) + 12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -5*m + 2*o, 2*m + m - 4*o + 82 = 0. Let w be 17\/m + (-30)\/(-4). What is the second derivative of -w*v**3 + 155*v - 160*v - 35*v**3 wrt v?\nAnswer: -252*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4752 and 1770?\nAnswer: 1401840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h - 3*h - h + (3 + 1 - 2)*(-h + 4*h - h) + 0 + 0 - h)*(-18*h**2 + 7*h**2 + 23*h - 2*h) to the form b + r*h**2 + l*h + z*h**3 and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyvktver. What is prob of sequence yrvt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69939\/5 - 14224. Is c at least -236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -355294.323 + 748.323. Let y = -354592.9943 - v. Let z = y + 47. What is z rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/((-880)\/(-33)) + (-3)\/5. Solve -m - 7 = -l*r + 5*r, 5*r = -2*m - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(6*s + 2*s - 7*s) + 2*s - 2*s + 3*s + (0 + 2 - 4)*(16*s - 3*s + 8*s).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/11 and 83\/19892.\nAnswer: 218812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 = -736*k + 783*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -258 + 1?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 11. Put r, 5, 2\/11 in ascending order.\nAnswer: r, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f + 215 + 1960 = 0 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 129?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:24 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1121, -1, 6, 3 in ascending order.\nAnswer: -1121, -4, -1, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46036\/(-4062)*3\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + -5 + 2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 12. Let n be m(-11). Let d = n + 17. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27807811663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*-1*sqrt(612) - ((-5 + (2*sqrt(612) - sqrt(612)))**2 - sqrt(612)))*-2.\nAnswer: -72*sqrt(17) + 1269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bfyyllmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 529879 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrqrrqqrqrrqrrqrq. Give prob of picking 1 q and 1 r.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 377 + 482 - 2*p**3 + 11*p**3 - 14*p**2.\nAnswer: 9*p**3 - 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77502.\nAnswer: 2, 3, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + l**2 - 2*l**3 + 11*l**3 + 4*l**3 - l**3 + (-2 + 2 - 1)*(0*l**3 + 3*l**3 - 2*l**3) as a*l + k*l**3 + x*l**2 + j and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1090\/(-39) - (-162)\/(-3159)) + 7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (273\/(-52))\/(3\/(-6364)).\nAnswer: 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) - 3\/7. Let n = 13.2 + 3.8. Let q = n + -16.7. What is the closest to 1 in q, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/7488 and 101\/100848?\nAnswer: 15732288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13287357393 less than -0.5?\nAnswer: -13287357393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z - 39 = 0, 2*t - 3*z = 1 + 8. What is the least common multiple of 12 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - (-56)\/(-32)*4. What are the prime factors of -2 - 28\/y - (-8151)\/44?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yohzzjszzyoj. What is prob of picking 1 s and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 13*q**3 + 8*q**3 - 5*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 1, q: 3, z: 1, p: 3, w: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -981852.\nAnswer: -3\/327284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssx when three letters picked without replacement from lsssnssxsxxnxxnll.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180811.\nAnswer: 180811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9246 divided by -12374\nAnswer: -201\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t - 12, -10 = -o + 2*t. Suppose -i - 7 = -3*y, -4 - 6 = -4*y + o*i. What is the derivative of -3*x**4 + 7*x**4 + y - 2*x**4 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 a when three letters picked without replacement from {t: 1, a: 2, v: 1, y: 1, g: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 294, 0, 10 in descending order.\nAnswer: 294, 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/726 and -61\/4.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 394 = 32 + 11 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 247 = 1535. Suppose -j + 688 = 4*b, p = -3*b + 5*b - 5*j. Calculate the remainder when b is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/6)*o)**(-7\/3))**(9\/8)*o**(1\/4)\/(o*o**2*o)*o*o**(2\/7)*((((o\/o**(-2\/3))\/o)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-3229\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*2\/18*-9)\/((-44)\/(-396)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 0*y**2 - 127*y**3 - 302*y**3 - 539.\nAnswer: -429*y**3 - 539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103 and 499?\nAnswer: 51397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 10*x - 9. Determine p(-12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w + 13. Let t(s) = -3*s - 4. Let f(h) = -7*t(h) - 2*z(h). Let m be f(7). Suppose -5*a + 0*a = -495. What is the highest common factor of a and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, 0, -1, -1314, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-248)\/93*(-1)\/2. Let r(w) be the first derivative of -16*w - o*w**3 - 8*w**2 + 14. Solve r(q) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -57, -150, -297, -504, -777, -1122, -1545?\nAnswer: -2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4085522 to the power of 1\/2, to the nearest integer?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*b**5*j + 2*b**4*j**2 - 2*b**2 + 75*j**2 wrt b.\nAnswer: 16680*b**2*j + 48*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*r + 3*r = 5, 2*i - 4*r = 0. Let h(j) = 3*j**2 + 1 - 2*j**2 - 1 + 0*j**i. Determine h(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3785*o**2 - 1338 wrt o?\nAnswer: 7570*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1402, -1404, -1408, -1414, -1422?\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(0*n**4 + 2*n**5 + 0*n**4)*(1 - 3 + 0 + 3 - 4 + 0 + (1 - 3 + 0)*(1 - 2 + 3) + 6 - 1 - 3 - 10 - 2 - 2).\nAnswer: -38*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a - 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201011 + 1221303?\nAnswer: -3313102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n**2 - 42. Let x(j) = -66*j. Give x(s(i)).\nAnswer: -792*i**2 + 2772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-8)*z)\/z)\/(z**(5\/4)\/z)*z**(-10)*z**(3\/11))**(-9\/8) assuming z is positive.\nAnswer: z**(6723\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970351110 to the power of 1\/2, to the nearest integer?\nAnswer: 44389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 (base 10) in base 13?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*j + 1576 = 0, 3*q - q + 3*j = 790. What are the prime factors of q?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0, -446, -517 in descending order.\nAnswer: 5, 0, -2, -446, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/(-10))\/(287\/(-420)). Let g = d + 1\/410. What is the common denominator of g and 121\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/9)*b)**36*(b\/(b\/(b\/b**(3\/7))))\/(b\/(b\/b**(-4)))*((b*b*b\/b**(1\/7))\/b)\/(b**6\/b*b)*b**(-4\/3)*b\/(b*b**6) assuming b is positive.\nAnswer: b**(1535\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 5*g**2 - 2*g**2 + 3*g**2 - g**2 - 4*g**2 + (0 - 2 + 1)*(1 + g**2 - 1) + (3*g + 4 - 4)*(-2*g + 3*g - 3*g) + 2*g - 2*g + g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*i**3*v + 2*i**3 + 3*i**2*v - 48*i*v + 2*v wrt i.\nAnswer: -228*i*v + 12*i + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 19. Let c be -5*(-2)\/(-5)*3. Let l = c - y. Solve -m + l + 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24821576 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:15 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39129.\nAnswer: 3, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 1*-3*((1 + sqrt(125))*1*-4 + -3)))**2.\nAnswer: 10080*sqrt(5) + 73764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/1*2 + 3. What is the remainder when (n\/3)\/((-4)\/372) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - 2*z)*(0*z**3 + z**3 + z**3) - 2*z - 6*z**4 - 4 + 4*z**4 + 4*z**4.\nAnswer: 4*z**4 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 119935*f*i**2 - 106368*i**2 wrt f.\nAnswer: 119935*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/7))**(1\/17) assuming o is positive.\nAnswer: o**(1\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -268 + 272 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 + 1. Let k(f) = 11*f**3 + 4*f**2 - 3. Calculate 3*d(t) + k(t).\nAnswer: 8*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + 0 + 0)*(0 + j**3 + 0) + (-7981*j**2 + 522*j**4 + 7981*j**2)*(j - 2*j + 3*j).\nAnswer: 1048*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/3 + 2 + 0. Let b be (v\/2)\/((-5)\/(-240)). Suppose 2*q - b = -2*q. What is the remainder when 70 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c22c - -149?\nAnswer: -c0c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 108410 divided by -5?\nAnswer: -21682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69e29 (base 15) in base 14?\nAnswer: 8acdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 16) to base 10.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 15306784.\nAnswer: 15306790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31781 = 3*h + 1964. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -41. Let f = 8 + n. Let c(g) = 14 - 4 - 9 + f*g. Determine c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 s when three letters picked without replacement from gggssnggssnsgsgssgg?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1029 or -1027?\nAnswer: -1029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:04 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160 is divided by 307?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*x + 40, -39 - 45 = 5*x - 2*s - 100 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 7)*(-4 - 2 + 2)*(-3*c - c + c) as a + q*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 4*z)*(-4 + 2 - 7)*(-10 + 2 - 7) + (5 - 4 + 0)*(5*z + 2*z - 4*z).\nAnswer: 273*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1002002?\nAnswer: 1002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5256692s to hours.\nAnswer: 0.000423797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:56 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -138.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.36 + 0.04. Let g = -7.1 - f. Let m = -10 - g. Which is the nearest to -1\/4? (a) 5 (b) 6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 48 = 33. Solve 0 = -k*j - 8 - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-18)*(-15)\/(-10)*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 - 4. Let g be (-378)\/99 - (1 - 5). Let h = 0.06 + -0.04. What is the closest to 1 in g, t, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.046778 and -75?\nAnswer: 3.50835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*22\/77 + (-18 - -23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7))**(2\/7)*x**12\/((x*x*x**0*x*x)\/x) assuming x is positive.\nAnswer: x**(435\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 47*o - 29 = 0. Suppose p + 128 = -5*g - 3*p, 3*g - p = -70. Let q be (-68)\/(-18) + g\/(-108). Solve x = 5*z - 0 + 5, 0 = -z + q*x - o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21629 and 9557?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/((-18)\/(-6))*(0 + -1). Suppose d - 10 = 20. Let w = n + d. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29851237343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 237 - -9?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -8, 0.5, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 + 131*n**2 - 263*n - 16. Let o be t(24). Solve -o*s - 3*s + 33 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(128\/372)\/(-16).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6132746 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/64 and 125\/1515552.\nAnswer: 3031104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by -198?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1410*h - 1415*h = -4*g - 2 + 1, -g - 47 = 3*h - 34 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -65 (b) 0.02 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33*p - 12. Let a(n) = -68*n + 21. Let r(y) = 8*a(y) + 17*k(y). Let b(f) = -3*f. What is r(b(j))?\nAnswer: -51*j - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 226566 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25066, -50142, -75236, -100354, -125502, -150686?\n\"Answer: -s**3 - 3*s**2 - 25060*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-8\/3)*x*x*x**1*(x\/(x*x*x*x**(1\/7)*x))**(7\/2) assuming x is positive.\nAnswer: x**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 4*h**3 - 9*h**2\/2 + 7*h - 4. Suppose -25 + 11 = 2*g + 5*o, 0 = -4*g - 3*o. List the prime factors of u(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.96 > -17841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 71*o + 89. Suppose 5*q - 2*d = -23 - 61, 3*q - 4*d = -42. Calculate the lowest common multiple of x(-1) and (-12)\/q - 52\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2 + 7060*a - 14140 = 0. Calculate a.\nAnswer: -1414, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48559043816 take away 222?\nAnswer: -48559044038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9920398.\nAnswer: 2, 107, 151, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 2\/3*l**3 - l + 3\/2*l**4 + 0*l**2 + 182. Give j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5982420 is divided by 674?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 11\/4, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = 4, i + 34 = -n. Let d = 48 + i. What is the remainder when 28 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*z + 7 = 0, p + 67*z = 92 - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2479956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(90\/(-10))*(-2)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/75)\/((-18)\/(-702)) + -26?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 7 + 3, 5*p + 60 = 2*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2. Let h(b) = b - 6. Let d(k) = 2*k - 5. Let s(w) = -6*d(w) + 5*h(w). Determine t(s(o)).\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-6) + 2)\/(16\/2472). Is g at most as big as -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7)*f*f**(-2)\/f*f*((f\/(f**6\/f))\/f)\/(f\/(f**7\/f)*f) assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 2)**2 + (-2*(-1 + sqrt(2)))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) + sqrt(117)*1)*4)\/(-1*sqrt(729) - sqrt(9)).\nAnswer: -9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127715581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 394975?\nAnswer: -1\/394975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 6\/(-21) + (-79)\/(-7). Calculate the common denominator of ((-343)\/m - 1)*(-32)\/(-80) and -49\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*s + 224, -3*j - 5*s + 448 = j. Let d = j - 47. Let n = d - 25. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1014 divided by -2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974877.\nAnswer: 3, 43, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 4, -2946 in increasing order.\nAnswer: -2946, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**50)**(-12)*b\/(((b\/b**5)\/b)\/b)*b**(-3)*(b**(2\/11)\/b)\/(b**(-8)\/b*b) assuming b is positive.\nAnswer: b**(1773\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/9)\/5*2*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170212781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -10*w + 9*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 431 = 611 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*c + 8, -5*n + 2*c + 5 + 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:08 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164728773.\nAnswer: 3, 11, 37, 44971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 421100600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/52 + 3\/(-56) - (6 + 76\/(-14)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 24*g + 6. Suppose 2*c - 9 = -17. Let d(b) = -b**3 - 3*b**2 - 9. Let x be d(c). Is o(x) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4117 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4152 and 228.\nAnswer: 78888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*((x\/x**(2\/7))\/x)\/x)\/x))\/x*x*x)**17*x*x**(-2\/19)*x**(-1\/11)\/x assuming x is positive.\nAnswer: x**(81432\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4450, -4452, -4454?\n\"Answer: -2*b - 4448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -183 - -183. Which is the nearest to 1? (a) -2 (b) r (c) -0.659\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5290 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2587494 and -191\/11466.\nAnswer: 7762482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162320 is divided by 177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + 5*z**2 - 7*z + 2. Let b(i) = -i**3 + 2*i**2 - 2*i + 1. Let o(y) = -2*a(y) + 7*b(y). Determine o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -64 and -40.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186*g - 251*g + 164*g)*(3 + 4 - 5).\nAnswer: -546*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/((-16)\/(-12) + -1). Let h = -59 - s. Let a be 84\/(-24)*h\/7. Solve -t + a = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8209475284 and 64922?\nAnswer: 8209410362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 16*l - 2. Determine v(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -68, -106, -154, -212, -280?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -235703.\nAnswer: 16\/235703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by -11*(0 + -4 + 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, p: 4, q: 2, f: 1}. Give prob of sequence pd.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 33?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 457 + -456.6. Let h = -1 + 1. Let s = 4 - 3. What is the nearest to h in -5, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -3\/8, 1, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3960480 and 1\/3345.\nAnswer: 3960480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2299352*n**3 - 2299363*n**3 - 2299350*n**3 + 6898030*n**3 + 1.\nAnswer: -35*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2080 is divided by 140?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v - 17*v + 1 + 30*v.\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 1.1. Let n = -1.9 + 2. Let y = 3 + -1. Which is the closest to n? (a) h (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -508, -744, -962, -1156, -1320?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - 9 = 30*s + 9*t - 6*t, 13 + 46 = 4*s - 5*t for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 266874, 266887, 266922, 266991, 267106?\n\"Answer: 2*i**3 - i**2 + 2*i + 266871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 364639139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/940 and 6 + (-33949)\/1360 + 18.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by -20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74122, 75992, 79098, 83434, 88994?\n\"Answer: -l**3 + 624*l**2 + 5*l + 73494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 505 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.80681 to 0 decimal places.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19. Suppose q*b - 3*b = 3, -4*d = -2*b - 10438. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -64.61 and 0.356560588.\nAnswer: -64.253439412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**5 - 2*g**5 + 11*g**5)*(4 + 8 + 5)*(-4 + 4 + 1).\nAnswer: 119*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2864131?\nAnswer: 881, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 52*o**2 + 2375*o + 1636. What is i(-45)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((4 + 1*((sqrt(1573) - (sqrt(1573) - sqrt(1573)*-2)) + sqrt(1573))*4 + -4)*-5 + -5))**2.\nAnswer: -35200*sqrt(13) + 10067600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -428 and -210410967328.\nAnswer: -210410967756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:00 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 - s - 5. Let b be c(0). Let j = -44 - -45. Put b, 4, j in ascending order.\nAnswer: b, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -42882*n**2 + 18*n - 208. Let l be u(12). What is l rounded to the nearest one hundred thousand?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1625218596*i**5 - 1543957343688*i**4 + 3093097374572*i**3 - 1547821858928*i**2 + 307061872*i - 15232 = 0. Calculate i.\nAnswer: -952, 2\/20157, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 4 + 4 + (-2 - 1 + 5)*(i + i - 4*i) - 2*i - 955 + 473 + 421.\nAnswer: -4*i - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2299)*-2.\nAnswer: -66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.20832 - 0.20832. Which is the second biggest value? (a) 0.3 (b) -3\/31 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0265024177 rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.21203323 rounded to two dps?\nAnswer: -5.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*g + 36 = -17, -3*g - 144 = -4*n. Let j be 6\/33 - (-93)\/n. Factor -a**3 + 16*a**2 + 12*a + 17*a**3 - 12*a**j.\nAnswer: 4*a*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 210356*o - 210360.\nAnswer: 4*(o - 52590)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 - -159. Solve -3*d + 5*y = -f, d + 12 = 5*d - y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*g + g + 4, 3*n + 5*g - 48 = 0. Let i = n + -6. What is the second derivative of -2*d**4 - d - i*d + 0*d**4 - 4*d wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (5 - (-90)\/(-15)). Let p(k) = 96*k**3 - 9*k**2 - 9*k - 9. Let o(j) = 24*j**3 - 2*j**2 - 2*j - 2. Give w*p(u) - 9*o(u).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + 47. Suppose 60 = -161*v + 166*v. What is the remainder when x is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b + 6. Let n be s(5). Let a = -4301 - -4301.3. What is the closest to -0.1 in a, 3, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**4 - 14*t**3 + 16*t**2 + 106*t + 75. Let d(r) = -11*r**4 - 29*r**3 + 31*r**2 + 211*r + 147. Let l(o) = -2*d(o) + 5*x(o). Factor l(s).\nAnswer: -3*(s - 3)*(s + 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - ((-8)\/5)\/((-15)\/1200*-8). Let l be 512\/24 + 2\/3. What is the highest common factor of o and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/322 and -73\/4.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 7\/242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4157 + 5?\nAnswer: 415c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 26 = -1. Let t(b) = 19 + b + 13*b - 13 + 14*b. What are the prime factors of t(c)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4208656226?\nAnswer: 2, 2104328113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v + 43. Let g be x(-8). Let k = -450 - -443. Let q(l) = l**2 - 3*l - 4. Let y(j) = 3*j**2 - 7*j - 8. What is g*y(o) + k*q(o)?\nAnswer: 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3 = -4*c, -12387 + 12381 = -2*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = -0*p. Let j = p + 1. Suppose 5*a - 44 - 371 = j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5055636*q**2. Let m(i) = -3*i. Determine m(k(b)).\nAnswer: -15166908*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 128*a**3 + a + 233*a**3 - 274*a**3 + 5*a**3 - 3*a**3 - a**3 + (a**2 + 1 - 1)*(-1 + 2*a + 1).\nAnswer: 90*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 8:31 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tgttgggtggtgg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 5:24 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35138 - 35242.276. Let q = -208.8 - -312.8. Let i = c + q. What is i rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofmmm. What is prob of picking 1 o and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48649\/70 - -695. What is the common denominator of 21\/2 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-5)*2\/(-6). Let d(s) = -2*s**2 - 4*s. What is d(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 364\/18 + (-26)\/117. Suppose -g = 5*l + 5*q, 5*q - 3 = -l + 5. Let a = -2 - l. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -96. What is the hundreds digit of 93*((2 - -6) + b*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**5 + 3068*y**4 - 586752*y**3 - 589824*y**2 = 0.\nAnswer: -1, 0, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -21*o + 18*o. Suppose -j - 61 = 5*a, j + a + 29 = -o. Is -81 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/4 + l**3\/6 - 6*l. What is the second derivative of y(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.064032 rounded to three dps?\nAnswer: -2.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30455+-1560\nAnswer: 28895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 13*w + 6. Let k be b(-13). Sort 2, -2, k.\nAnswer: -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(((-650)\/(-40))\/5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 120428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 332\/5023?\nAnswer: 332\/5023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k = 41*k. Solve -5*f + 4 + 1 = k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.64 - -176.14. Let i = 123 - o. Let f = i + 47. What is the third smallest value in f, -1, -1\/3, 3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38250 and 204450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271127 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2\/23 (c) -8\/9 (d) -4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*t + 52*t + 12*t to j + m*t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13028423*d**2*u**2 + 56*d*u - 85813*u**2 wrt d?\nAnswer: 26056846*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47153219263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.34727979 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 9*z + 2. Let h be o(-9). Suppose -4*q + h*q + 158 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23028 rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 5*q - 4. Let u be s(3). Let i(f) be the first derivative of 3*f**2 + 2*f - 25. What are the prime factors of i(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m - 3*d + 78, -8 = 4*d. What is the highest common divisor of m and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/8)\/(2\/(-12)). Suppose -21 - o = -5*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 216 = 4*t, -76*s + 78*s - t = 114. What is the remainder when 221 is divided by s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s**5 + 13826*s**4 - 355612*s**3 + 2838712*s**2 - 7668912*s + 2635776 = 0 for s.\nAnswer: -1408, 2\/5, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761543627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -3, -5, 19, -2, 24 in descending order.\nAnswer: 32, 24, 19, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1353*z + 357*z - 23 = -17951 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15*139 + 66\/22?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.3, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2)*w)\/w**(-3\/7)*(((w*w**0)\/w*w)\/w*w)**(2\/11) assuming w is positive.\nAnswer: w**(325\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -29*t**3\/6 - t**2\/2 - 2*t. Let n be g(3). Let r = 145 + n. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*r + 35 - 35)*(2*r**2 - 5*r**2 + r**2) - 2*r**3 - r**3 + 5*r**3.\nAnswer: -144*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/6 + z**2 + 3. Let j(y) be the second derivative of t(y). Is 16 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-90)\/(-54)*9\/5. Suppose 5*i = q - 7, -3*q + q + 2*i - 2 = 0. Let z = 7 + q. Solve z*s - 7 = -t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.3, 2\/543, 8\/23 in descending order.\nAnswer: 8, 8\/23, 2\/543, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1176.52 and 399796?\nAnswer: 398619.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3571*t - 11235 = -3505*t + 7183*t for t.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 939*a*l - 257916*a - 97*l**3 wrt l?\nAnswer: 939*a - 291*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 8*q**2 - 16*q - 25. Let r be b(-6). Let y be (5\/11)\/(-1 + 0). Is r equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -30*b**5\/13 - 44*b**4\/13 - 10*b**3\/13 + 4*b**2\/13 = 0.\nAnswer: -1, -2\/3, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 3*m + 1. Is z(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-318)\/42 + 1\/(-2))\/1 and (-2)\/(-3) + 2\/4.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(7 - (-56)\/(-16))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/5)\/(46\/115). Sort -4, -5, w in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -453, -801, -1165, -1473?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/559533 or -1?\nAnswer: -2\/559533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-5))\/(-3))\/((-2)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223783300 rounded to the nearest 1000000?\nAnswer: -2224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 17. Let b(c) = 0*c**2 - 7*c + 2*c**2 + 7*c. Calculate z(b(n)).\nAnswer: -4*n**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y, y - 567 = i. Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37c + 2?\nAnswer: 37e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/(-690) - (-269)\/15 and -35\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 1\/5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 70187000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 82 from -0.06.\nAnswer: -82.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqqq when four letters picked without replacement from ffqqfqxf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -142, 132, 406, 680, 954?\n\"Answer: 274*f - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3505364535253\/911030904823 + 315\/54031843. Let b = 2\/1297 - d. Find the common denominator of -23\/7 and b.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiiiiuippuiiziiupi. What is prob of picking 3 i and 1 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 957*x - 1417. Is m(34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0 - 3*t - 5*t**2 - 4\/3*t**3. What is the tens digit of n(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 2*h**2 + 2*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1262*v + 805077. Give o(638).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10 = 6*d. Let z be (115\/(-10) + -1)*14. Is d\/8 + z\/(-4) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.88 (b) -0.111 (c) -6051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -17*p - 89. Which is smaller: p or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 4, 7 in increasing order.\nAnswer: -57, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012851049 to five dps.\nAnswer: -0.01285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/4 + 1835291*k\/4 - 2294120 = 0.\nAnswer: -1835296, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8329, 33425, 75259, 133837, 209165, 301249?\nAnswer: 410095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-472)\/(-16) - 18) + -14)\/(5\/(-26482))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 40762*w**2 + 39289*w**2 as h*w + a*w**2 + g and give a.\nAnswer: -1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q - 102. What is z(19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(304) + -1 - sqrt(304)) + 1 + 5)**2*-5 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 165191 and 11779279.\nAnswer: 11944470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 328*o + 1 + 142*o - 4 to the form p*o + b and give p.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 u when three letters picked without replacement from yuuyyyuuuyyyyyuu?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -10. Let p = -11 + j. Calculate the lowest common multiple of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13\/3, 0.4, -2, 0.24, 0.04.\nAnswer: -3, -2, 0.04, 0.24, 0.4, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55478*x = 55535*x + 1710 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -66329663700 to the nearest one million.\nAnswer: -66330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12059 is divided by 267.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112f (base 16) to base 6.\nAnswer: -32211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 + 25*l**2 - l - 12. Let j(s) = s**3 + s**2 + 1. Let g(o) = 3*j(o) - n(o). Let u be g(-11). Solve -1 = u*t - 3*z - 17, -3*t + 3*z = -12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -367*h + 362*h - 12*s - 305, 3*s + 4 = 5*h - 66 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkkkkkkkpkkkkpk. Give prob of sequence kk.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*j + 7. Let t be (j - 0) + -4 + 7. What is the highest common divisor of t and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1 + 0 + 4). Suppose f = u - 3, -2*b - 5*u = -u. Sort 0, 3, b in decreasing order.\nAnswer: 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.3 + 60.3. Which is the third smallest value? (a) 6 (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 10*p**2 - 10*p + 12. Let d be v(9). Suppose -t = -3*x - 13, 4 = -4*t - 4*x + 2*x. Which is the second smallest value? (a) 0.6 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*v + 5. Let p = 24 + -25. Let f = p - -5. Sort f, v, -1\/3 in decreasing order.\nAnswer: f, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 50*h = 574. Let m be (-84)\/8*36\/h. Let q = 4063\/3116 - m. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/7))**(-7\/3)\/(y**4\/y)**(8\/3))**(1\/30))**42 assuming y is positive.\nAnswer: y**(-154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 881313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {m: 1, o: 2, k: 9, f: 1, u: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877179471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88783?\nAnswer: 47, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 140 = 5*r. Let g(s) = s**2 - 6*s + 2. Give g(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**30)**(-2\/7)\/(((x\/x**(37\/4)*x)\/x)\/(x**21\/x)) assuming x is positive.\nAnswer: x**(551\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1\/1) + 712\/178. Solve r + 4 = 0, -a - p*r - 207 + 203 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a750 + 10a2?\nAnswer: 40842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 13*a**2 + a - 13. Suppose 6*f - f = 65. Let i be v(f). Solve -2*t + 7 = -d + 4*d, -3*d + 3*t - 18 = i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 34*d**3 - 3*d**2 - 23*d - 22. Let b be g(13). What is b rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 - 4*n**2 + n**2)*(-3*n**2 + 2*n**2 - 2*n**2 + (-3*n + 5*n + 2*n)*(-n - 3*n + 7*n)) to q*n**4 + c*n**2 + i + b*n**3 + j*n and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 84?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/14)\/((6 - 7)*44\/(-154)). Let h(o) be the second derivative of 0 - 1\/10*o**5 + 4\/3*o**3 + 1\/12*o**4 + 46*o - 2*o**s. Factor h(f).\nAnswer: -(f - 2)*(f + 2)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53169558?\nAnswer: 2, 3, 13, 607, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6187 + 12632. What are the prime factors of i?\nAnswer: 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89590 is divided by 5971.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - (-9 + 5 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*l + 408 = 6534, -10 = 5*l. Which is smaller: -1533 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3. Let u(b) = -7*b**3 - 4*b**2 - 2*b. Let m(i) = 5*n(i) + u(i). Factor m(q).\nAnswer: -2*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 8939.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 76, 127, 182, 241, 304, 371?\n\"Answer: 2*h**2 + 41*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -2\/7, 0, -0.2, -6\/11, 38?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37920 (base 11) in base 4?\nAnswer: 31101033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-nine fifths of a gram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (34 - (-50 + 30))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 2, -0.09, -4, 1\/3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376662 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + (2 - (3 - 9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1230 and 1370?\nAnswer: 168510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*z**4\/7 - 8*z**3 + 657*z**2\/7 + 72*z = 0.\nAnswer: -3, -56\/73, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -297 + 302. Solve -n - t = -3*x + x, -3*n + 4*x = 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 4 (b) -0.3 (c) 0.5 (d) -244\/177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40, 55, 72, 91?\n\"Answer: j**2 + 12*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -27*q + 14. Let r(p) = -15*p**2 - p - 15*p**2 + 24*p**q. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4165722 is divided by 1388564.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:44 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y + 3. Let c = 954 - 952. Calculate the greatest common divisor of c and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o**3 + 16*o**3 - 3*o + 11*o**3 + 2*o**2 as p*o**3 + f + n*o + v*o**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*b - 394, 5*y - 567 = y + 3*b. Suppose y + 24 = 3*g. Let d(t) = -20*t**3 + 5*t + 4. What is the remainder when g is divided by d(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -475 + 161 + 158 + 222*h**2 + 156 as k*h + w*h**2 + r and give w.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200093*s**3*w + 66401*s**2*w + w wrt s?\nAnswer: 1200558*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 3*h + 20. Let x(r) be the first derivative of 3\/4*r**h - 3\/10*r**5 - 1\/2*r**3 + 0*r**2 + 3 + 0*r. Factor x(n).\nAnswer: -3*n**2*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986095259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j + 1. Let f be s(1). Let r = 3 - f. Solve -y - 2*y + r = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0, 1249 in increasing order.\nAnswer: 0, 2, 4, 1249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 x, and 1 t when three letters picked without replacement from txxzxxst.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/1368*6 - (-4)\/(-24)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 291, 0.142?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/9198 and 55\/19929.\nAnswer: 119574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116908586 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/11 and 1\/376302.\nAnswer: 4139322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/(15\/120) - 6784. Is -6788 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfnnn. What is prob of sequence nfnf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31180, 124710, 280590, 498820, 779400, 1122330?\nAnswer: 1527610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to 34225\/4573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/35*-5*14\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248280470.\nAnswer: 2, 5, 103, 241049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/(-6)*293\/((-46880)\/(-18560))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -g + 200, -16*g = 5*h - 13*g - 502. Differentiate -271*u**2 - 111 + h*u**2 + 169 wrt u.\nAnswer: -346*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + (-4539)\/(-9))*15\/10?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyfywyfyyyfz. What is prob of sequence yf?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 29*d - 402. Let u(q) = 2*q**3 - 54*q**2 - 29*q + 21. What are the prime factors of u(d)?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*z + 8686, 2*i + 10871 = 7*i - 2*z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 4*w - 5. Let p(b) = -b**2 + 1. Give p(x) - z(x).\nAnswer: x**2 - 4*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13601, 1\/389, 0?\nAnswer: 1\/389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i - 102 - 34 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 559865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -571*k**2 + 1. Let f(j) = -21*j - 1. Determine f(a(h)).\nAnswer: 11991*h**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*d**2 + 244*d**2 - 266*d**2 as p + z*d**2 + n*d and give z.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 14*f**2 - 10*f - 146. Determine r(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 53*g = -4*g + 370 - 33, 5*g = -3*j - 14 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -0.39 (c) -2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 6:34 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l - 2. Let j(m) = -m. Give g(q) + 6*j(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 16*k - 17*k + 50*k + (k + k + 0*k)*(0 + 1 + 1) - 5*k - 7*k + 0*k - 1.\nAnswer: 41*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -13*l**2 - 3. Let b = 20 + -22. Let j be a(b). Let m = -16 - j. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, b: 2, d: 7}. What is prob of picking 2 b?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 2:04 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*q + 39, 0*q + r = 5*q - 95. Suppose -q = -u - 0*d - 5*d, 3*u + 2*d - 15 = 0. Solve 0 = u*n - 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9048 + -0.0952. Sort j, -2\/15, -2\/11, -0.06.\nAnswer: j, -2\/11, -2\/15, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3778 is divided by 1887.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-756)\/(-112))\/(12\/16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 68?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*u**3 - 197*u**3 + 528*u**3 + 2*u**2 + 2*u to the form v*u**3 + o*u + c + q*u**2 and give v.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -88*c + 1947. What is q(22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, n: 12}. Give prob of sequence nssn.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 77 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2172 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 1. Let o(s) = 2*s - 44. Let k be o(22). What is h(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 + 11650208449\/(-143) - 2\/(-13). What is a rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 16. Let h be p(4). Suppose 2*n = 4 + 6. Suppose -i = -n*y + 30, 2*y + 5*i + 5 = -2*y. Solve 8 = -y*x + m - 3*m, 0 = 3*m + h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252649718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*g - 35, -5*g - 4*r = -r - 39. Let i(k) = -2*k - g + 3*k**2 - 6*k + 5*k. Let v(u) = -u**2 + u + 4. What is 3*i(t) + 7*v(t)?\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:00 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 265089.2 micrometers?\nAnswer: 265089200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 9 = -3*g, r - 4*g + 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162254?\nAnswer: 2, 31, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, c: 1}. What is prob of picking 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 3 - -4) + (56 - 27 - 0 - 19)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/(l\/(l*l\/l**(5\/6))))\/((l**10*l)\/(l\/l**(2\/9))))**(-28) assuming l is positive.\nAnswer: l**(2534\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2942998.9354 plus 43.3?\nAnswer: -2942955.6354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 7*u - 208 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 947.17564992 and -0.291.\nAnswer: 946.88464992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 80*k**3 + k**2\/2 + 264*k - 755. What is the second derivative of s(c) wrt c?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*6\/12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 10 + 0)*(22*y - 44*y + y)*(2 - 1 + 1) in the form c + g*y and give g.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18992228*p**3 + 18992218*p**3 - p + p.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**3\/d*d*d\/(d\/(d\/(d**(-2)\/d))))\/((d*d*d**(-2\/3))\/(d**(2\/3)\/d)))\/((d**(1\/8)\/d**2)\/(d**(-2\/5)*d\/d**(-7))) assuming d is positive.\nAnswer: d**(1897\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.811 litres in millilitres?\nAnswer: 417811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/789750*-54)\/((4\/(-2))\/12).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24565620*h + 26287701 wrt h.\nAnswer: -24565620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 5*b**3 - 26)*(-24 + 13 - 1232*b + 13).\nAnswer: 6160*b**4 - 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(252) + sqrt(252))*4)\/sqrt(6))\/(sqrt(54)\/(sqrt(324)\/sqrt(4))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9 and 2*-103*(-1)\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - (-3 + 5)) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v**2 + 2*v + 4. Let l be z(0). Find the second derivative of -2*h**4 - 18*h + 11*h - l*h**4 wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*p**2 - 252*p**3 + 1 + 185*p**2 - 11*p**2 - 35*p**2 - 5 + 166*p = 0 for p.\nAnswer: -2\/3, 1\/42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-27)\/12)\/(3\/(-18)*4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78573110 a multiple of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000194078 rounded to 6 decimal places?\nAnswer: -0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*r + 947*j - 943*j, -2*r = 4*j + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (1 + -6)\/(-1). Suppose w*j = -3*j. Let c be 10\/(-3) + 1\/3. Sort c, j, 5 in increasing order.\nAnswer: c, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*p - 76*p = -4620 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84\/541 - 24923\/3246. What is the common denominator of -41\/20 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 10) to base 9\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -3 (b) -1 (c) 3\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 9.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150063 is divided by 49964.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4*30\/(-40))*-1)\/(1\/(-48))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 2*q**7\/21 - 2*q**6\/5 + 3*q**5\/5 - q**4\/3 + 55*q - 9. Let t(i) be the first derivative of b(i). Let t(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189557 is divided by 7016.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (-1)\/(2\/8). Let m(y) = -4*y + 1. Let d be m(b). Suppose -4*w + 220 = -5*c, -3*w + 159 = -d*c - 6. Calculate the remainder when w is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96856613459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/3 + 46*n**2 - 142*n + 359. Differentiate h(t) with respect to t.\nAnswer: 2*t + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305445174?\nAnswer: 2, 11, 37, 199, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 27*d - 9*d - 9*d - 10*d - 10*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 150.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)*s*s*s)\/s)**(24\/11)\/(s\/((s*s**(-5)*s)\/s)*(s*s**(-6\/19))\/s) assuming s is positive.\nAnswer: s**(-295\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 159*p**2 + 1840*p - 1. Calculate c(-12).\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/3 + 350634*v + 92208151467 = 0 for v.\nAnswer: -525951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -15, 1\/4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + (-20)\/8. Let p be 1\/(-1)*2 - 2. Let l be 2\/4 + (-14)\/p. What is the smallest value in d, l, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -115, -144, -107, 44, 357, 880?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p - 9*p + 10*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33869407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.0262 + -5.9738. Put i, 0.1, 0, -1\/6, -3 in ascending order.\nAnswer: i, -3, -1\/6, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 28165821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3209?\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18052496 divided by 4513124.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:22 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 852 and -6.\nAnswer: -5112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111110001010011 (base 2) to base 16.\nAnswer: 37c53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9883926, 19767853, 29651780, 39535707?\n\"Answer: 9883927*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 5 - ((-39 + 23 - -59) + -144)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -185 - 91*f + 175*f - 89*f. Let t be r(-38). Solve -5*i = 5, -4*h + 5*i = -t*h - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6032 + -3621. Does 96 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1761*q**3 - 23*q**2 + 34*q - 241. Let p(h) = -587*h**3 - 8*h**2 + 12*h - 85. Determine -17*p(r) + 6*v(r).\nAnswer: -587*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9036 and 60973422.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.557920242 + -7.6236209. Let c = 0.0657 + k. Round c to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 67, 138, 237, 364, 519, 702?\n\"Answer: 14*x**2 + x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:14 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) -3 (c) -4 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -17*n**2\/2 + 72*n + 78. Let l be r(4). Solve -8 = 4*s - l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 - 2*y**2 + y - 1. Let o be c(-2). Suppose 4980000 = -10*f + o*f. Round f to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 6*f**3 + 1375 + 29*f + 5*f**3 - 1367. What is the remainder when 169 is divided by c(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/311 in -1.2, 0.01, -0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (-32)\/(-80)*(-5)\/1. Suppose -4*q - g = -3*g - 14, -z*q + 7 = 5*g. Solve -6 = -q*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1579533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8057 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5835968.208 to the nearest 1000.\nAnswer: -5836000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*j + 185 + 138*j - 11*j**2 - 183.\nAnswer: -11*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1700733 = 17*u - 524312. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 take away 3.5205?\nAnswer: -16.5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1938\/7 + 17771\/63. Find the common denominator of (-37)\/45 + 4\/(-10) and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184224678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/5 - 2102107*l**2\/5 - 220942061339*l + 662829967815 = 0 for l.\nAnswer: -1051055, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**4 + 5*p - 3. Let n(c) = -13*c**4 - 8*c + 5. Let r(a) = 5*n(a) + 8*o(a). Find the first derivative of r(g) wrt g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 14*r - 4 = 0. Solve 0 = u + r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + y - 2 = 0, -12*y + 8 = 2*p - 8*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 21 = -5*s, -12 = 2*s - 6*s. Solve -5*j = -2*b - 16, -w = 4*b + 2*j + 3*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 2*c + 270. Calculate the remainder when 36 is divided by u(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239943.\nAnswer: 37, 60539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a day in minutes?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let g = 2896192\/21 + -137914. Which is the closest to 2? (a) r (b) -2\/11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (2 + (-2 - -2))) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 9:12 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9531751 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 6*m + 8. Let y(o) = o + 7. Let t be y(-7). Suppose b + b - 14 = t. Is 7 a factor of i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:53 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 960400 (base 10) to base 5\nAnswer: 221213100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2560 and 1056512.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338 divided by -169.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -88, -29, 48, 137, 232, 327?\n\"Answer: -z**3 + 15*z**2 + 21*z - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) 5 (c) -0.5 (d) -2110 (e) -2\/23 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -628, -1430, -2230, -3028?\nAnswer: -3824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-25))\/((-18)\/20))\/(8\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3453*h**2 + 3453*h**2 + 51*h**3.\nAnswer: 51*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*z**3 - 1153 + 1153 - 64*z + 166*z**3 + 64*z.\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 1. Suppose -7 + 17 = 5*o. Let t(d) = 0*d**2 - 25 + 7*d**2 + 3*d**3 + 11*d**o + 7. What is -18*h(u) + t(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acy when three letters picked without replacement from {i: 5, x: 1, u: 2, a: 1, y: 3, c: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80, 108, 150, 212, 300, 420, 578?\n\"Answer: o**3 + o**2 + 18*o + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 5. Let y = -39 + 89. Let w(v) = -2*v + y + 41 - 95. Give 2*q(c) + 3*w(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = 0. Let v(y) = -y**2 - y + 12. Let i be v(n). Suppose -2*d + 228 = 4*f, -5*d + 5*f - 2*f = -531. What is the highest common factor of i and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578665329.\nAnswer: 3, 11, 17, 1031489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + x)*(0 + 0 + 8 + (0 + 0 + 2)*(4 - 1 - 1) - 3 - 1 + 3 + (0 + 0 + 3)*(-1 - 1 - 1)) - 2*x + 2*x - 2*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from jmccccccccccccc?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 13663822426?\nAnswer: 13663822406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 - 8*m + 20. What is k(3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2083158 and 264528.\nAnswer: 16665264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(3*j + 2*j - 7*j) + (0 + 0 - 3)*(-j + j + 3*j) + 6 - 2*j - 3 + 0 as g + i*j and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 2086 = 3*l + 73*l - 3609 for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + z**2 + 0*z**2)*(-2 - 5 + 3 + (4 + 2 - 5)*(0 - 1 - 1)) to the form x + r*z**2 + s*z and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 8*c**2 + 4*c - 8. Give g(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 94*m**2 + 191*m + 96.\nAnswer: -(m - 96)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11763 and -3.97.\nAnswer: 46699.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/8*-4*25\/75.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a55750 (base 12) to base 3\nAnswer: -11220011212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.208076 centimeters?\nAnswer: 62.08076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 not equal to -1816\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*d**5 - 6922*d**4 - 1287842*d**3 + 94519432*d**2 + 423211040*d + 99875200 = 0. Calculate d.\nAnswer: -460, -4, -1\/4, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4\/7 + 16*z**3 + 1860*z**2\/7 - 576*z - 61776\/7 = 0.\nAnswer: -11, -6, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 179*y + 8205. Let j be d(102). Solve -j = -35*i - 106 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 4692.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 8, i: 3, r: 2, k: 4, c: 2}. Give prob of picking 2 c and 1 f.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463216.\nAnswer: 2, 13, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5773 + -5781.3. What is the third biggest value in -5, -2\/7, i, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 11*w - 20. What is m(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 4*s + 3*s)*((-2 + 2 - 2)*(-s - 2*s + 4*s) + 18*s + 9*s - 19*s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Let p be -2 - (-3 + 3 + i). Sort 0, -3, p in increasing order.\nAnswer: p, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(-2\/37)*(d*d**(-6)*d)\/(d\/(d*d**(-5\/2))) assuming d is positive.\nAnswer: d**(-2413\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21764851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 637 and 22834.\nAnswer: 296842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 2*a + 3. Let g(o) = -o**2 + 7*o - 10. Let m be g(2). Suppose 7*z - 4 - 17 = m. Calculate n(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.4 (c) 5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 663*w**3\/5 - 1708553*w**2\/5 + 5154*w\/5.\nAnswer: w*(w - 2577)*(663*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Let z = u - 2.9. Which is smaller: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 716415 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/5 + 0 + 5)*(-205)\/(-123)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let g(f) = 4*f + 6. Let o(d) = -g(d) + 5*v(d). Let a be o(10). Suppose 2*y - 2 = a. Put 1, 5, y in descending order.\nAnswer: 5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 8*u**2 - 7*u + 19. Let v be a(-9). Let g(x) = v + 17*x - 6*x - 8*x + x**2. Let t be (3\/(-4))\/(1\/4). What is g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787502203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -863 + 835. What is the hundreds digit of (-1)\/((-1)\/f)*(-10609)\/206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**5 - 45*q**4 + 110*q**3 - 30*q**2 - 115*q + 75 = 0.\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 85 = -5*t, 5*m - 1465 + 1418 = 4*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13782 - 6896 - 2257*s - 6886)*(-2 + 3*s - s - s).\nAnswer: -2257*s**2 + 4514*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 12465540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14938, 14953, 14976, 15007, 15046, 15093, 15148?\n\"Answer: 4*c**2 + 3*c + 14931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32056*o**3 - 3*o - 424.\nAnswer: -192336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = 160. What is the greatest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9269 - 9251. Is 42 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 2*p. Suppose 5*r = 4*n - 28, -5 + 23 = -2*r + 5*n. Let w be h(r). Let v(m) = 14 + 164*m + 1 - 3 - 165*m. Determine v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**3 + 2*i**3 + 0*i**3)*(4 - 4 + 5*i + 0*i - 3*i + 5*i + (5*i - 4*i + 0*i)*(3 - 4 + 2)) as z + b*i**4 + y*i + p*i**2 + s*i**3 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 3 - (-7 + 11\/(43 - -1))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907 = -63*m + 58*m - 86*m - 3*w, 0 = 3*m + 3*w - 27 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19728 and 891952?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 46*g - 3*b, 0 = -3*g + 3*b + 52 - 37 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6. Suppose -4 = 2*z + t - 13, 3*z + t = 13. Which is bigger: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2057 + -568597\nAnswer: -570654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {e: 2, o: 2, i: 1, t: 1, k: 8}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2545 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*w - 3*b - 2088, -5*w = -2*b - 2075. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a factor of 3759130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3805 = 4*d - 5*z, d + z - 945 = -4*z. Let f be (-9)\/((-1895)\/d + 2). What is f rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15487246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*-2*(-1)\/(-2). Let g = 1.3 + -3.3. What is the second biggest value in s, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 + 83 = 31*v. Let z(b) = -b + 1. Let h = 6 + -9. Let k(j) = 2*j - 2. Let w(p) = h*k(p) - 5*z(p). Determine w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2524759 micrograms?\nAnswer: 0.0000000002524759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.89 + 1.8. Let q = x - 0.41. Let y = 1.5 + q. Is -1\/4 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 16*p + 30. Suppose 0 = 5*l + 3*v + 23 + 50, 0 = -l + 3*v - 11. Let j be m(l). Solve 2*c - 2 = -j*y, 5*c + y + 7 = -4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -3\/61, 1, 566?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 48, -4, 174 in ascending order.\nAnswer: -4, 44, 48, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0362 from 151.\nAnswer: 151.0362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34374 and -0.0666?\nAnswer: -0.022893084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 34. Let h be u(-16). Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*t**4 + 13*t**2 - 9*t**3 - 42 - 13*t**2 + 6 + 4*t**3 + 3*t**2 wrt t.\nAnswer: -3720*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-127 + 31 + 3 - (-2 - 6)) + 6\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 5. Let x(a) = -a - 7. Let u be x(-7). Let f be r(u). Suppose 56*g + 26 = 58*g + 2*i, 5*g = -2*i + 86. Solve -f*v + g = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (30 - -1 - (-25 + 51 + 4 + -26))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, 0, -163, -36 in decreasing order.\nAnswer: 10, 0, -1, -36, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/90*9*6\/(-288)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1166.481560456431 - 0.077662726431. Let k = o + -1166.422. Let h = 0.0181 + k. Round h to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26621 (base 11) in base 4?\nAnswer: -21102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.08508 rounded to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 0, -2*s - 2*q + 4 = -3*q. Suppose -s*l - 1 - 1 = 0, -36 = -5*p + l. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-2 - 11) + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 z when three letters picked without replacement from {t: 5, o: 4, j: 2, z: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1872) + 0)*-6)**2 - (sqrt(3900)*-2)\/((sqrt(3) + sqrt(6)\/sqrt(2))*2).\nAnswer: -139*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1 - 4 - 1 + 4 + (1 + 0 - 3)*(-2 + 0 + 0) - 5 + 3 + 3)*(-1875*w - 31 + 37 - 6).\nAnswer: -9375*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -165723, -331463, -497241, -663075, -828983, -994983, -1161093, -1327331?\n\"Answer: -3*o**3 - o**2 - 165716*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57131.362 rounded to the nearest 10?\nAnswer: 57130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/8*(0 - (-48)\/36)*143571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 399575960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhq when three letters picked without replacement from hnznhnzhhnq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (810\/(-135))\/(9\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 740719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*b + 66*b = -22104 - 518656. List the prime factors of b.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -62*j - 376. Let u be a(-6). Sort 1, 91, u, -5.\nAnswer: -5, u, 1, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/263 - -2346\/1841. Let s be (-4)\/6*-2 - (-19)\/(-399). Factor 0*y - j*y**3 - s*y**4 - 3\/7*y**2 + 0 - 3\/7*y**5.\nAnswer: -3*y**2*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(243) + 4))*-3.\nAnswer: 12 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**4 + w**3 + 1. Let g(m) = -19*m**4 - 2*m**3 + 15. Let a(l) = -g(l) - 2*o(l). Differentiate a(c) wrt c.\nAnswer: 68*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {g: 1, o: 1, n: 1, w: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 210\/56*(-2 - -14). Let g be (-1 + 2 - -1) + 61. Find the common denominator of -39\/11 and g\/56*228\/r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3.8, 53, -13.4, 2\/17 in ascending order.\nAnswer: -13.4, -3.8, 2\/17, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 + -80. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - (630\/(-24))\/15. Suppose -5*r + 5*m + 1902 + 1088 = 0, w*m - 586 = -r. Calculate the greatest common divisor of r and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*m - 221*m - 2070. What is the fourth biggest value in 2\/3, 2\/17, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 1, r: 5}. Give prob of picking 1 j and 2 r.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9 = 2*i, 2*x = 4*i - 2*x + 4. Let d be 154\/(-33)*6\/i. Are 14 and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiuj when four letters picked without replacement from jjauuuuuiuiuu?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -13. Sort -4, v, 0 in decreasing order.\nAnswer: 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:51 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 3\/2, 2\/5, 0.07, -0.34, 0.12?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -71 (b) 9 (c) -3 (d) 8\/5 (e) -0.5 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 23*u = -k + 19, 5*k - 5*u = -5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*x - x + 2*x)*(x**2 - x**3 + 0*x**2 - x**3).\nAnswer: 38*x**4 - 19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**4\/8 - 13*r**3\/6 + 393*r**2. Give i(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 1477996.\nAnswer: 1477995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1 + 4*h + 5*h + h. Let v = 110 - 14. Let g = v + -98. Give x(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from azz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 3, k: 5}. Give prob of sequence kce.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*y**5 - 133*y**5 + y**2 + 127*y**5 + 26*y + 135*y**5 wrt y.\nAnswer: 6180*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362628 by -42.\nAnswer: 8634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177.2 - -48.8. Let s = b - 235.1. Let d = 9 + s. What is the nearest to 2 in d, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-45)*(-50)\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 363 + 432 = 197 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 2*g. Let f be (-2)\/3 - 0 - 20\/(-12). Let k = f - -2. What is the remainder when m(-2) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -t + 2*g, 12 = -5*t - 2*g - 13. What is the remainder when 22 is divided by (-182)\/(-12) - t\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -866 - 9494*m**3 + 866.\nAnswer: -9494*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 0*a + 5*a - 20 = -15, 0 = 45*f + 2*a - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -2\/3*b**3 - 5\/24*b**4 + 1\/40*b**5 - 3*b + 0 + 0*b**2. Let y(r) be the second derivative of x(r). Determine y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3659200697 to the power of 1\/3, to the nearest integer?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14407883 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 19*n - 13. Let k(b) = -b + 4. Let r(h) = h - 3. Let j(y) = -2*k(y) - 3*r(y). Let i(d) = -6*j(d) - l(d). Differentiate i(w) wrt w.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Calculate the smallest common multiple of ((-15)\/(-9))\/(((-5)\/15)\/(-1)) and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 2, w: 1, q: 1, j: 5, m: 3}. Give prob of sequence mrmq.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 29, 3\/4, -0.5, -1\/8, -3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 - 1 + 3 - 12*v**3 + (-2*v**3 + 4*v**3 - 4*v**3)*(0 - 1 - 2).\nAnswer: -2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/14 and -41\/21126.\nAnswer: 21126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 364.85112 to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -21 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-52) - 2\/8. Suppose 9*p = 18*p + 7*p. Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/1481 + 536\/1399545. Let k(o) be the third derivative of 0*o**5 + 8*o**2 + 0*o + g*o**7 + 0*o**3 + 0 + 0*o**4 - 1\/540*o**6. What is h in k(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/9 + 4*i**4 + 56*i**3\/3 + 304*i**2\/9 + 64*i\/3.\nAnswer: 2*i*(i + 2)**3*(i + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.33655.\nAnswer: -1.3462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.9 from 3290651.5.\nAnswer: 3290658.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5\/i*i*(i*i*i**(-2\/17)*i)\/i)\/(i**(-6\/5)*i\/i**(6\/11)))\/((i**1)**9\/(((i*i\/i**(1\/2))\/i)\/i*i)**(-25)) assuming i is positive.\nAnswer: i**(-25941\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5 - 1. Let w(a) = 6*a**2 - 12*a - 2. Let g(k) = -5*k**2 + 11*k + 1. Let f(x) = 5*g(x) + 4*w(x). Let v be f(6). Sort 0, i, v.\nAnswer: i, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*j + 4*z, 687*j - 692*j - 12*z - 122 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90392.\nAnswer: 2, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -20. Which is smaller: -24 or h?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -4\/9, 5431?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.57824616 to two decimal places.\nAnswer: -1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/6 + 7\/(-42). Let o(b) = -2*b - 1. Let u(c) = c + 1. Calculate r*o(p) - 5*u(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 156 = -6*m. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 0.5\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from kpkkkkkkpk.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11473, -70, 2, -0.2, -2 in ascending order.\nAnswer: -70, -2, -0.2, 2, 11473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3))**(-5)\/(j**(2\/5)*j)**16)\/(j\/j**(-1\/16)*j*j\/j**(-2\/3))**31 assuming j is positive.\nAnswer: j**(-32321\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:54 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.1841 - -0.0381\nAnswer: 1.2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314257.5 centuries to decades.\nAnswer: 3142575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 59*x**2 - 80*x + 268. Is 86 a factor of b(-59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1476, 11851, 40012, 94851, 185260, 320131, 508356, 758827?\n\"Answer: 1482*a**3 + a**2 - 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 886 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4679263*a - 7011 = -4679386*a for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 73 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28.60119 times -0.1\nAnswer: 2.860119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*h**4 + 1790*h**3 - 11*h**2 + 181*h + 1?\nAnswer: 2232*h + 10740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 1\/3, -0.3934 in decreasing order.\nAnswer: 1\/3, -0.3934, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7716 = 2*m - 5*k, -79*m - 11574 = -82*m - k. What are the prime factors of m?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/16848075 and 67\/1611555?\nAnswer: 185328825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 10*f**2 + 9*f + 6. Let y be j(-9). Solve 0 = -4*b - b - 2*z + y, -2 = b + 2*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 - -105. Suppose -990 = -c*m - 290. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 5208?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*y = -7*y - 21, -y = 5*s - 84. Calculate the highest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -10*p - 96. Calculate the greatest common divisor of p and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v - 6. Let q be i(-20). Suppose -2*p - 5*r = -6, -2*r = 4*p + 2 + 2. Let k be ((-6)\/7)\/(p\/84). Calculate the greatest common divisor of k and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/3 - (-6)\/(-18). Let q be (g + (-8)\/(-5))*-5. Suppose q*c - 3 = c. Solve l = 4*v + 20, -c*v + l + 0*l = 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 19434469.\nAnswer: -5830340.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhcf. Give prob of sequence fc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85635 + -85634.9999952747. What is o rounded to 7 dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -697 + 696.6. Sort -2, o, -1, 2\/279 in decreasing order.\nAnswer: 2\/279, o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-1 + 1000\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 3101440320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -234 in decreasing order.\nAnswer: -4, -10, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + n. Let i be c(-2). Suppose 3 = 4*f - a, -i*a - a - 9 = 3*f. Solve f = h, b + 3*h + 0 = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-3))\/((-1)\/3). Let y = 9 + -7. Factor 4*v + 0*v - v**y + z*v**2.\nAnswer: 2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 3. Let f be (4 - b)*4464\/(-3). Calculate the remainder when f\/(-40) - (-8)\/10 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.516267t to nanograms.\nAnswer: 516267000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 12 = -6*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5483 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**11\/u*u*u))\/(u**(2\/3)\/u*u) assuming u is positive.\nAnswer: u**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 - 5514320*c**2 + 1900482816400*c = 0. What is c?\nAnswer: 0, 689290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10765 divided by 2153\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 + 4*r**2 + 4*r - 8. Let x(h) = 4*h**3 - 3*h**2 - 3*h + 5. Calculate 5*g(d) + 8*x(d).\nAnswer: 2*d**3 - 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**3\/3 + 3*h**2\/2 + 2*h + 11. Let o(q) = -q + 8. Calculate the smallest common multiple of o(7) and l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11274143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5\/5 + 84*m**4\/5 + 144*m**3 + 1728*m**2\/5.\nAnswer: 3*m**2*(m + 4)*(m + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25760336 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 - -154. Solve i + m - 11 = -g, -3*g = -i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5 + 19385*q**4\/3 + 1808689*q**3\/3 + 2934811*q**2\/3 - 2394364*q\/3 - 789508 = 0.\nAnswer: -6367, -93, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s + 23. Let a(c) = -7*c + 47. Let o(z) = 3*a(z) - 5*n(z). Let w be o(24). Solve -4*d - r - 15 = 0, 5*d + 2*r = -16 - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*(-4 - 2*x**4 + 4) - 886*x**2 + 6492*x**4 + 438*x**2 + 448*x**2 to the form j*x + v*x**3 + c + n*x**4 + t*x**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 9733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 156042641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 15204?\nAnswer: 76020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4 + 3 + 0 + 9*v to the form c*v + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -16, -3\/5, 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m - 3. Let u(c) = -c**3 - 4*c**2 + 3. Let j be u(-4). Let w be h(j). Let y = -2 + 4. Solve w*o = 4*f - y*o + 11, -2*f - 12 = 4*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/100)\/(75\/(-24) - -3)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3139*n**3 - n**2 + 1. Let u be d(-2). Let j = 124903\/5 - u. Let r = j + 129. Is 1 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5)*((-25576)\/7923 - (-2)\/(-19))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v. Let w be 2*3\/(-6)*(0 - -2). Let a(g) = -13*g - 1. Give w*a(k) - 5*j(k).\nAnswer: -4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 144?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 2)\/(2\/12). Suppose v = h - 2. Suppose v*r + 0*k - 42 = 2*k, r + 3*k - 21 = 0. What is the remainder when 23 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -13*j. Let k(o) = -7*o - 39. Let x(h) be the first derivative of -3*h**2\/2 - 18*h - 80. Let d(p) = -6*k(p) + 13*x(p). Determine d(c(i)).\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 4, s: 4, q: 12}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 541 - 775. Let o = -201 - h. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2 - 8*w + 21. Let s be n(5). Solve 12 = -s*t + 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7760 divided by -97\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - -8) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 10. Let v = j + 15. Solve 4*p + 2*y = 28, -y + 4 = -v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2849)\/(-84) + (47 - 81)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*c + 4*c. Let l(r) = -r + 4. Calculate the remainder when c is divided by l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = -4*s, 5*s - 3*s - 5*b = 19. Factor -1\/2*d**3 - 1\/2*d + d**s + 0.\nAnswer: -d*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:47 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in 0.2, -1756, 1.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 1, c: 3}. Give prob of sequence ch.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -20*f - 214. Let h be x(-11). Solve 3*b = 4*t + 9 + 4, 0 = -3*b - 3*t + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 4 (c) -2.8 (d) 0.32 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9500579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 4}. Give prob of picking 2 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122217*-0.1.\nAnswer: -12221.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459159?\nAnswer: 13, 107, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -4 - (-1 + (-56 - -86))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 7:32 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 269*y + 15999. What are the prime factors of q(16)?\nAnswer: 79, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 2*j**2 + 8*j - 9. What is y(4)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 98*g + 68*g - 34*g.\nAnswer: 131*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 76. Give f(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + 3*g - 3*g)*(-g + g + g + (2*g - 2 + 2)*(4 - 5 + 3) + g + 3*g - 2*g + 1 - 1 - g).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*f + 322*f - 5*a - 3 = 0, 0 = 5*f - 5*a + 15. What is the nearest to 1 in -0.063, f, -2?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (55\/(-165))\/((-2)\/2652*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 6*b - 9. Let a = -1 + 8. Let v be g(a). Is -12\/5 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 4*y**3\/3 - 32*y. Let n(c) = 11*c. Calculate o(n(i)).\nAnswer: 88*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84187 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19027402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 66*j + 576 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 28048075*c - 112192220 = 0. What is c?\nAnswer: 4, 5609611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2568104 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmmxxdg. Give prob of picking 1 d and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i - 1. Let w(y) = 406*y - 409. Let j be w(1). Let n(v) = -25*v - 2. Determine j*n(x) + 8*t(x).\nAnswer: 11*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -q + 10 - 5, q + 5*k = 13. Let z be q + -1*1\/(-1). Solve 30 = -z*i - 5*s, -2*i + 0*i + s = 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9145)\/124 - -73)*44.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*x = -239*x + 17376. Calculate the greatest common divisor of 36 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 3*n - n)*(39 - 80 + 24)*(7 - 2 - 1).\nAnswer: -476*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgglllgl. What is prob of sequence lgll?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609.54476 rounded to the nearest ten?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -259*m**2 + 25*m - 12897. Let r(z) = -34*z**2 - 2. Let o(h) = f(h) - 4*r(h). Find the first derivative of o(g) wrt g.\nAnswer: -246*g + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7 + -54bac?\nAnswer: -54b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 591\/7 + -84. Suppose -2*r - r = -6. Sort w, -5, r.\nAnswer: -5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -178 (b) -5 (c) 0 (d) -0.2 (e) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*x + 4232 = 971, 0 = 5*r + 2*x - 3249. Calculate the greatest common divisor of r and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 47.41386ng?\nAnswer: 0.00000000004741386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 492*m**4 - 207*m**4 - 212*m**4 - 4*m**4 + 3*m**4 + 3*m**4 - 3*m**4 + 3*m**4 - m**4 + (m - m**2 - m)*(m**2 + 2*m**2 - m**2) - m**4 - 2*m**4 + 2*m**4.\nAnswer: 71*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-3\/13)*o*o**(2\/11))**(-17) assuming o is positive.\nAnswer: o**(-8296\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 18.9. What is the nearest to -1 in u, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/3 - 43\/6. Sort -2, -1\/4, m, 32 in descending order.\nAnswer: 32, -1\/4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -27*q - 171. Let b be p(-7). Let i be 10\/b - (-14 - -11) - 6. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 446, -49\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 802064?\nAnswer: -320825.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and -0.17?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = -4*n - 45*n + 350. Solve -5*x - 2 = -2*j, -5 = n*x - 3*j - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39242 = 57*l - 36791 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + sqrt(108)*1 + sqrt(108) + 1)*-1)**2*5.\nAnswer: 180*sqrt(3) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 17, 23, 27?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3560, 14093, 31654, 56243, 87860, 126505, 172178?\n\"Answer: 3514*t**2 - 9*t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1850 - -2738. Suppose 8*z + c = 12*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*y**6 + 93346*y**5 + 339641092*y**2 - 2.\nAnswer: 32160*y**3 + 5600760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/135)\/(-8)*-3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4191184 to 2 dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 6 + (-3*31 - -2). Does -86 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2 + 11*o + 25. Let l be q(6). What is the highest common divisor of 14 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 32901?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93 (base 11) to base 9.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 18461*j - 2. Let x be y(-1). Let u = -516885\/28 - x. What is the common denominator of u and 76\/9?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 329 + 1 - (0 - 3*-1). Suppose 531 + i = 33*l. What is the remainder when 37 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2 + sqrt(325))*1*2 - (-2*sqrt(325) + 3 + -2)))**2*-2.\nAnswer: -10450 + 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 + 16*r - 94 + 7*r in the form y*r + k and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 37*x**2 + 131*x - 6. What is the remainder when k(-33) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 199 or 188?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 3*j - 2*j**2)*(-1 + 2 + 1) + 0*j**2 - 3*j**2 + j**2 - 522*j**2 - 499*j**2 - 429*j**2 as b*j + p + s*j**2 and give s.\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 481735952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 60.33735 meters?\nAnswer: 60337.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 - 21*q**2 - 3*q + 26. Let l be j(7). Suppose l*f - 835 = 1640. What are the prime factors of f?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87.405 + -0.105. Let p = n - 87. Which is the closest to -2\/7? (a) -0.7 (b) -0.01 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/11, -43, 231930 in decreasing order.\nAnswer: 231930, -10\/11, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105198 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1265731992, -1265731996, -1265732002, -1265732010, -1265732020?\n\"Answer: -a**2 - a - 1265731990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -6. Which is the second smallest value? (a) s (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5600 = -259*c + 2947 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - q - 4 + (-6*q + 3*q + 0*q)*(-2 + 3 - 2) - 3*q + q + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -33*a - 5. Let k be (2\/(-6))\/(4 + 25\/(-6)). Let r(l) = -16*l - 2. Let c(w) = k*p(w) - 5*r(w). Let n(j) = 2*j. Determine c(n(m)).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/300 and 59\/30?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**2 - 2*u**2 + 4*u**2)*(-u**2 + 3*u**2 - 5*u**2) - 5*u + 5*u - 214*u**4 - 14696*u**4 to the form a*u + z*u**3 + r*u**2 + j*u**4 + h and give j.\nAnswer: -14901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*x - 90, -3*x = -3*v - 6*x - 54. Let p(w) = 3*w**2 + 5*w + 1. Let z be p(-4). Let d = v + z. What is the remainder when 26 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 239*h - 8. Suppose 317*m + 6 = 311*m. Let x(s) = 3*s - 2. Let u(a) = m*r(a) - 6*x(a). What is the first derivative of u(t) wrt t?\nAnswer: -257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*b - 210. Suppose -26 = -2*g + 124. Suppose -4*a + g = -1. Calculate the remainder when b is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = y, 2 - 12 = 3*y + 4*x. Let j(o) = -1 + 10*o**2 + 1 - 6*o**y. Let f(h) = -2*h + 2*h + 2*h**2. What is f(j(n))?\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2)*6 + -4 + sqrt(13) + sqrt(52)\/sqrt(4))*5 + (-6*(sqrt(637) - (-4 + sqrt(637) + 2)))**2.\nAnswer: 124 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951307 rounded to the nearest 10000?\nAnswer: 1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) - 70\/(-21). List the prime factors of (27\/c)\/(6\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o. Let d be p(-1). Let q = d - -27. Suppose -l - 11 = -m, -3*m + q - 2 = l. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 16. Let h = -12 + l. Solve -2*a = h*x - 14, -6*a = 4*x - 2*a - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 610, 1317, 2024, 2731, 3438, 4145?\nAnswer: 4852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 6*h + 4*h + (4 - 13 - 10)*(5 - 5 + 8*h + (7 - 3 + 2)*(-2*h - h + 2*h)) to the form m + g*h and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 - a + 10. Let x be w(0). Let c(m) = 6*m**3 - 16*m**2 + 11*m - 9. Is c(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 20. What is s(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-520)\/(43 - 83) + -4*12\/(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16835274 is divided by 1052196?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28673, -4, 10\/9 in descending order.\nAnswer: 28673, 10\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a + 2*a)*(a**3 - 4*a**3 + a**3)*(-3 + 63 + 40 - 18).\nAnswer: -656*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 90\/25 - 5\/(50\/(-4)). Put j, 5, -11 in decreasing order.\nAnswer: 5, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/6, -0.26, 0.12, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/5 - 207054*y**2 = 0. What is y?\nAnswer: 0, 345090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63852, 127700, 191538, 255360, 319160, 382932, 446670, 510368?\nAnswer: 574020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(sqrt(242) - sqrt(242)*-3)**2 + -1*sqrt(648) + -4.\nAnswer: -18*sqrt(2) + 7738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/108)\/((2\/4)\/(2028\/1352)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 1. Let m(i) = -8*i - 16. Let g(y) = -m(y) + 16*p(y). Let k(c) = 3*c**2. Determine k(g(j)).\nAnswer: 192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((75\/(2325\/(-62)))\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27882.\nAnswer: 2, 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -18 + 5*u + u + 60 - 4*u. Let v be t(-20). Suppose -2*a = l - 6*a - 487, -l + 487 = -v*a. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/208 and 95\/2216.\nAnswer: 57616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1244*m + 331*m + 168*m - 446*m + 1207*m)*(-4*m**2 + 3*m**2 - 2*m**2) to the form x*m + p*m**2 + k + y*m**3 and give y.\nAnswer: -7512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/5505152 and 87\/33374984?\nAnswer: 533999744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by -312\nAnswer: 97\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express s - s + 2*s**4 + (301 + 56 - 121)*(-s**4 - s**4 - s**4) in the form v*s**4 + k*s + h*s**3 + z*s**2 + u and give v.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 15, m: 4}. What is prob of picking 1 w and 2 m?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0784 + 150.7784. Let b = f - -42.3. Let r = -193.00000113 + b. What is r rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36534 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**4\/6 - 2*h**3 - 13*h**2. Let r be p(-6). Suppose -3*o = 5*q + r, -q = -5*q - 4*o - 16. Which is bigger: 1\/13 or q?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 4*z**2 - 2*z + 1. Let t be g(3). Suppose -4*u - 2*x = 0, -u + t*x = -3*u. Suppose -16*m + 17*m - 7 = u. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0245482 times 8.48?\nAnswer: 0.208168736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 - 75*u**2\/2 + 946*u - 4862. Solve m(a) = 0.\nAnswer: -86, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + 190\/8. Let u be -18 - (14\/(-6) + 8\/j). Which is greater: -15 or u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 140, -3, -144, -283, -420?\n\"Answer: f**2 - 146*f + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 + i - 1. Let s(p) = 3*p**3 + p**2 + 2*p - 4. Let a(y) = 2*y**3 + 14*y**2 - y - 9. Let n be a(-7). Calculate n*m(z) + s(z).\nAnswer: z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1376\/3? (a) -0.5 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 36 = 4*k, 0 = c - 0*c - 5*k + 21. What is the highest common divisor of c and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583876749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -140*i**5 + i**4\/4 - i**3 + 3*i**2 - 162*i - 2909. Find the third derivative of t(p) wrt p.\nAnswer: -16800*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14289140 equal to 14289140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 + 7*v**3\/6 + 5*v**2 + 497*v. What is o(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7.09 (b) 4\/3 (c) 5\/38 (d) -5 (e) 0.088\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 8.2.\nAnswer: -10, 5, 8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-946)\/258)\/((-1)\/3*7))\/(-1)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2663514075 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + j**2. Let s be q(1). Let a(n) be the third derivative of n**4\/6 + 2*n**2. Give a(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2902.66 - 0.2\nAnswer: -2902.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**2 - 6*i**2)*(318 - 318 - 65*i**2).\nAnswer: 195*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 532.19996046 + -532.2. What is q rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 6614784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 - -872\/5. Let m = 3\/118 - -215\/826. Let f = -155 - -2017\/13. Which is the nearest to m? (a) f (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6099 - -0.3.\nAnswer: 0.9099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q. Let a(g) = 12*g**2 + 6*g. Let x(s) = -a(s) + 10*o(s). Factor x(u).\nAnswer: -2*u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*l - 0*k - 3, -4*l - 3*k = 1. Let o be (-6)\/4 - 51\/(-2). Suppose j + 3*j - o = 0. Calculate the remainder when j is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 34 = 20*x - 42 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -11274740?\nAnswer: 11274743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1443012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -934, 2299, 0 in ascending order.\nAnswer: -934, 0, 1, 2299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (189\/105)\/(3\/10). Suppose -2*g = -j*g + 20280. Round g to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, f: 9}. Give prob of picking 3 r.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 157145 + 157133 - 7*w**3 + 2*w - 2*w.\nAnswer: -4*w**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, m: 1}. What is prob of sequence gmg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37864*a**6 - a**4 - 35276*a**2 + 2 wrt a.\nAnswer: 4543680*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31\/5 (b) 0.1 (c) 3 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1017 - 1076. Sort 2\/15, 3, j in ascending order.\nAnswer: j, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(sqrt(85) - -1*sqrt(85)) + sqrt(85) - sqrt(85))\/(sqrt(180)*1).\nAnswer: -2*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 - 40*x**3 + 16*x**2 + 616*x - 588 = 0. What is x?\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-328)\/80 + (-2 - (-42)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 70 = -15*f, -2*n + 5*f + 5486 - 5461 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 71, -14\/9, -5, 2, -3?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -14 - (-2 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*i = 74*i + 723. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + o + 5*o + 0*o as y + l*o and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 324816 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127629 is divided by 18230.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/13559 and 127\/156.\nAnswer: 162708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25339 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/4200)\/((-12)\/32)*20\/6.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 - 12 = -4*i, -2*p + 5*i = 10. Let c(v) = 3*v - 1. Let y(n) = -4*n + 1. Suppose -2 = l - 5. Let u(m) = l*c(m) + 2*y(m). What is u(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + 4 + (4 - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 3*v - 6, 4*d + 12 = -0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -401 - -201. Let s = n - -230. Which is bigger: 29 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/(sqrt(640)*3)*4)\/((sqrt(224)\/(2*sqrt(8)))\/(sqrt(8)\/(sqrt(8)\/sqrt(4)))))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - 0.14. Let o = i - -0.6. What is the nearest to 1 in -2\/5, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -2\/13, 243, -0.4, 5, 21.\nAnswer: -0.4, -2\/13, 3, 5, 7, 21, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2807211 and 8\/25443?\nAnswer: 8421633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97.07 and 526.\nAnswer: 51058.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 254*a**2. Let y(v) be the first derivative of v**3\/3 - 1290. Calculate y(i(h)).\nAnswer: 64516*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**4\/8 - 5*f**3\/3 - 4*f**2. Let o be m(-5). Let g(p) = 3*p - p**3 - 6 - 4*p**2 + 7 + 1 + 9*p**2. Give g(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**2\/2 + 3. Let r be n(2). Suppose 0 = -4*i + r*i + 20. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 397, 580, 755, 922?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56951409 + -6.2.\nAnswer: 56951402.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(-9)*(r**0)**(-39))**(4\/5) assuming r is positive.\nAnswer: r**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 804 - 806. Suppose 5*d = -m - 25, 2*m + 20 = -m - 4*d. Suppose 0*r + r + 4*q - 7 = 0, 5*q = 5*r + 40. Sort p, 9, m, r in descending order.\nAnswer: 9, m, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60204, -59016, -57830, -56646, -55464, -54284?\n\"Answer: -u**2 + 1191*u - 61394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6346, -6385, -6402, -6391, -6346, -6261, -6130?\n\"Answer: u**3 + 5*u**2 - 61*u - 6291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.42 + 9.5. Let i = -2.08 + f. Put 5, -5\/4, i in decreasing order.\nAnswer: 5, -5\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/5)\/((-2492)\/(-3115)). Let y(j) be the third derivative of 2*j**2 + 0*j - 1\/8*j**4 + 1\/15*j**5 - 1\/3*j**3 + 0. Determine y(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 1\/8*h**4 + 1\/120*h**5 - 1\/3*h**3 + 0*h - 2 + 0*h**2. Let f(v) be the third derivative of a(v). Determine f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r + z - 6 = 0, 4*z = 4*r. Suppose -r*j - 3*j = 3*s + 25, 10 = 4*s - 2*j. Let b = 0.4 + -0.1. What is the second smallest value in b, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -830*f**2*g**3 - 15*f**2*g + 15*f**2 + f*g**3 - 1841*f*g**2 + 8*f + 12027*g**3 - 2 wrt g.\nAnswer: -4980*f**2 + 6*f + 72162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13753? (a) -0.4 (b) 0.3 (c) 2 (d) 170\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g*g**(-7\/5)))\/g**(-1\/5))\/(g**1)**(3\/10))**(-40) assuming g is positive.\nAnswer: g**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(432) + sqrt(3)) - (2*sqrt(102)\/sqrt(6) + sqrt(17)).\nAnswer: -38*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let l(w) = 724*w**2. Give n(l(a)).\nAnswer: 724*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2272571 - 10476625.\nAnswer: -8204054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315836825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-9)*45\/60?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(11)*-3) + sqrt(2016)\/sqrt(8))**2.\nAnswer: 2023\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + 12 + -18 + -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from pxxpxzjxxxjjpjpppjx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 0, 5\/16, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obaxb. What is prob of sequence ob?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2227 or 2243?\nAnswer: 2227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50139*-84\nAnswer: -4211676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 45491187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -18*p**3 + p**2 + p. Let y(h) = 11*h + 16. Let o be y(7). Suppose -3 = 5*n - o. What is the lowest common multiple of x(-1) and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536775, 537757, 539401, 541713, 544699, 548365, 552717, 557761?\nAnswer: 563503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2967897\nAnswer: -2967897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 2 - 1) + 3. Let q = 26 + s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, w: 9}. Give prob of picking 3 w.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5297\nAnswer: -1\/5297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 616413 in descending order.\nAnswer: 616413, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.85 + -1.95. Let v = n + 3.06. What is v rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26789656 is divided by 3983.\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -2 - (24 + -41100024). Round o to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 43. What is the third derivative of -r*z**2 + 1427*z**3 - 3*z**2 - 1432*z**3 wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20180000 rounded to the nearest 100000?\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - c + 1. Let f(n) = -2*n**3 - 12*n**2 - 12*n + 14. Let p(u) = -u - 80. Let h be p(-79). Let g = -3 + 15. What is g*i(q) + h*f(q)?\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 6*s - 10. Let n(y) = -y**2 - 4*y + 7. Let g(d) = 5*a(d) + 7*n(d). Let b be g(-2). What is the greatest common divisor of 21 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from wwwrrwwwwwwrwrrwwwr.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f - 41. Let a(y) = -3*y - 21. Determine 11*a(r) - 6*z(r).\nAnswer: 3*r + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133740 - 133839 + 2751*f - 2750*f.\nAnswer: f - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*n + 1 - 10*n**2 - 69*n + 10*n**2 - 12*n**3 as q + k*n**3 + t*n**2 + y*n and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjbj when four letters picked without replacement from ppdopjjdspsbssp.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 118*k - 1318. Give p(12).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0 - 1\/3*v**4 + 0*v**3 - 34*v + 2*v**2. Solve k(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 255306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:03 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) + (-31)\/4. Calculate the remainder when 3\/6 - 292\/s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.18, 21, -0.5 in descending order.\nAnswer: 21, 0.18, -0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.75228863 plus -91251?\nAnswer: -91249.24771137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-85)\/(-51))\/(55\/(-60))*-22)\/(4\/6).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 433*h**2 + 1644*h**2 - 604*h**2 as w*h + z*h**2 + u and give z.\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - -1?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20762, 41488, 62170, 82808, 103402, 123952?\nAnswer: 144458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 18*q**2 - 14*q + 38. What is j(-17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15324\/17 - -900. Let s = -34737169\/748 + 185763\/4. Let g = s + v. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0*f + 1\/12*f**4 - 11\/6*f**3 + 2*f**2 + 0. Let g(o) = -638 + 4*o + 643 - 5*o. Calculate -9*g(n) - 4*j(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + -13 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57509957?\nAnswer: 167, 344371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174729 and -5?\nAnswer: 873645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j + g = 29*j + 54, j - g - 54 = 0. What is the second derivative of 70*b**3 - 22*b**3 + j*b**3 + 104*b wrt b?\nAnswer: 612*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 5*f - 41904 = 0. Let u be f\/(-21) - (0 - 4\/14). Suppose -k + u = 3*l - 2*k, -l = k - 70. What are the prime factors of l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 - 249*f**2 + 275*f + 1930. Determine i(-84).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -3. Let h = 14 + k. Calculate the lowest common multiple of h and (-2)\/3 - (-10)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -230 + 338. Let r = 4 - -7. Calculate the remainder when r is divided by y\/252 - 50\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -55. Let i be (0 - -2)\/4*(77 + x). Let d = i + -32. Solve 2*f - 14 = -d*y, 0*f - 4*y = -f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494427 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: Is 12206809 at least 12206808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 5:18 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208884 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let f(p) = 3*p - 2. Let z be f(0). What is the second biggest value in o, 0.1, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 252*y**3 - 6*y**2 - 6*y**2 + 1029*y**5 - 882*y**4 - 12*y**2.\nAnswer: 3*y**2*(7*y - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:31 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2714 and 7358303?\nAnswer: 338481938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 557 - 554. Suppose r = -5*c + 11, 14 = -2*c - u*r - 2*r. Solve 22 = -3*a - c*z + 5*z, 5*a - 2*z = -30 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = -702298 + 1071993 + 1800418. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 3\/(-18)*258\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/((-2772)\/110)*1\/2*-3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 0*x**2 + 2*x**2 + (487*x + 21745 - 21745)*(-4*x + 4*x - 3*x) + x**2 + 8*x**2 - 4*x**2 to the form o*x + d*x**2 + y and give d.\nAnswer: -1454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 43536*v**2 + 2*v + 26*v**3 - 4 + 10 - 1 - 43541*v**2. Let p(b) = 27*b**3 - 4*b**2 + 2*b + 4. What is -4*j(c) + 5*p(c)?\nAnswer: 31*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 17*p**2 + 18*p - 63. Let z(g) = -2*g**3 - 34*g**2 - 34*g + 127. Let f(q) = -5*b(q) - 3*z(q). List the prime factors of f(-14).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 569350 - 4?\nAnswer: 569347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5\/i)\/i**(-7))**(18\/7) assuming i is positive.\nAnswer: i**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20853, -20744, -20551, -20274, -19913, -19468?\nAnswer: -18939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2676 and 21?\nAnswer: 18732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 24*c**2 + 53*c - 184. Is 50 a factor of q(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 214.62064 to two dps.\nAnswer: 214.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 815.779 rounded to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82.7 + -79. Let s = 4 - o. Let r = 2\/63 + 104\/693. Which is the nearest to -2\/5? (a) s (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -965 or -963?\nAnswer: -965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w. Suppose 0 = -40*j - 10*j - 100. Let s(t) = -7*t. Give j*s(h) - 5*u(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522 <= 1521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by 4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3600 is divided by 1454.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1 + (1 + 3 - 2)*(-3 - 1 + 5))*(3*b + 2*b**5 - 2*b + 0*b).\nAnswer: -6*b**5 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 116759 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 723471 to the power of 1\/2, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 13. Let j(o) = -o - 5. Let m be j(-5). Give x(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 30 = 10. Suppose -g = -1 - f. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 710479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/9920 and -107\/400?\nAnswer: 49600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1)*y))\/y**(-10) assuming y is positive.\nAnswer: y**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 10. Suppose 0*l = -b + 3*l + 75, -2*l = b - 55. Let q = -43 + b. What is the remainder when q is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132082.35 to the nearest one hundred.\nAnswer: 132100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z = 9*z + 278 + 7 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 + 10 - 181*v**4 + 1 - 3 - 1 wrt v?\nAnswer: -724*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let q be 2 + 2 + (4 - l). Suppose k = q, 28 + 16 = p - 2*k. Calculate the highest common factor of p and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/182 + (-14 - -15).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 114, 261, 476, 765?\n\"Answer: l**3 + 25*l**2 + 3*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(-55) + -1 + (-14)\/5. Let r be ((-6)\/(-21))\/(g - 129\/(-21)). Put 1\/2, -0.3, r, 1\/3 in increasing order.\nAnswer: -0.3, r, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448 (base 9) to base 4.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43865 - -435.12.\nAnswer: 44300.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - y - 2*y. Let s(a) be the second derivative of 1\/6*a**3 + 0 + 0*a**2 - a. Determine w(s(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 18 + 3, 0 = -2*i - 4*s - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - -159. Let y = b - 139. Let o = -20 - -32. What is the remainder when y is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/6211260 and -17\/141165.\nAnswer: 6211260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10111000001001110 (base 2) to base 11\nAnswer: 64925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (0 - (3 + -17)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -5. Suppose 0 = 5*n + g - y, 0 = -2*g + 6. Solve 0*z - 3 = -n*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 7*g - 10. Let y be m(-3). What is the remainder when 88 is divided by ((-30)\/(-9))\/((y\/(-18))\/(-1))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = -12*n + 20*n. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/(-21))\/72*4\/((-8)\/(-54))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -57*z**3 + 219*z**3 + z**2 + 574*z**3. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469, -468, -467, -466, -465, -464?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - (-7 + 2) - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-4)\/(-15))\/(2\/5). Factor -i**c + 281 - 11*i + 2*i - 289.\nAnswer: -(i + 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 79, 263, 581, 1027, 1595, 2279, 3073?\n\"Answer: -m**3 + 73*m**2 - 28*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.148, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-19 + 22)) + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2680732305 minus -0.2?\nAnswer: -2680732304.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.6, -6, 1.8, 2\/5.\nAnswer: -6, 2\/5, 1.8, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.268, 0, 101?\nAnswer: -0.268","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12537 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33827 is divided by 505.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 95974389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1140 + 1145. Which is the closest to -1? (a) y (b) -1\/7 (c) 3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -6*d**3 + 0*d + 0 - 8\/3*d**4 - 118*d**2. Differentiate a(v) with respect to v.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 3 + (-18)\/(-39). Let n be -3*2\/(-7)*7. Suppose u = -7*f + 4*f + 2, -f + 5*u = -n. Are f and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 = -6*g - 1432. Let y = 793 + g. What are the prime factors of y?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331202030 divided by -659765?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2)*x)\/(x*x**(-1\/4)*x))\/(x**(1\/3))**(-1\/33))**40 assuming x is positive.\nAnswer: x**(-10850\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*g + 2*h + 2*h, 19 = 3*g + 5*h. Put g, -1, -5, -3 in ascending order.\nAnswer: -5, -3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.3 - 4.9. Which is the nearest to -4\/3? (a) -0.4 (b) 3\/2 (c) n (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 157*v - 18. Let c be a(3). Suppose 0 = -4*i + 3*t + 604, 3*i - 24*t - c = -19*t. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161357363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -1399.\nAnswer: -14\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 4*g**2 + 6*g - 9. Let l be c(7). Let t = -123 + l. Let n = -31 + t. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -2*q**3\/3 + 10*q**2 - 792. What is g in x(g) = 0?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2808275 and 50?\nAnswer: 5616550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3567, -4871, -6177, -7485?\n\"Answer: -j**2 - 1301*j - 2265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*(t*t\/(t**(4\/3)*t)*t)\/t*t**(-2\/5)\/t*t**(-9)*t**(-4\/5) assuming t is positive.\nAnswer: t**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 + 2*v - 1. Suppose 3*h = -5*t - h + 233, 89 = 2*t + 3*h. Suppose t*y - 48*y - 1 = 0. What is m(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.9? (a) -2\/45 (b) -2 (c) 1.4 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25858\/225 - 1030\/9. Find the common denominator of h and 82\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 33*c + 473. Calculate p(-12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017192 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 29721501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-56)*20*3\/(-15). Let s = 1 - 0.6. Which is the nearest to f? (a) s (b) 1\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Let m be (0 - -2) + -2 - -1. Suppose -n + m = 2. Which is the closest to 0.1? (a) n (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -3 + 0*b**4 + 3*b + 0*b**2 + 0*b**3 - 2\/5*b**5. What is the first derivative of y(q) wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 112 + 31192*y**3 - 31199*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16584894 and 584154?\nAnswer: 381452562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43029314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -33. Suppose -k*i + 2*i = -b, -4*b = 4*i. Suppose b*v - 31 = -z + 2*v, -4*z + v + 110 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2068905160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -19?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357977 or -357978?\nAnswer: -357978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j**3 + 2200405 - 2200405.\nAnswer: -37*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3330*m + 1192. Give x(-1).\nAnswer: -2138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 52 = 5*v, -5*v + 2*m - 4*m = -46. Suppose 3*u + 0*l + l = -v, 5*l = 20. Which is smaller: u or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 + -0.95. Let a = -0.5 + 0.4. Let m = a + 1.1. Put 4, m, c in descending order.\nAnswer: 4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2. Let h be p(1). Let y = -3 + h. Solve 0 = 4*i - 2*f - 16, -4*f = y*i - 3 + 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -91675*p**3 - 483*p**2 - 23200*p. Let d(s) = 8334*s**3 + 42*s**2 + 2109*s. Let v(t) = 23*d(t) + 2*i(t). What is the second derivative of v(b) wrt b?\nAnswer: 49992*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (2 + 13)) + 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17410\/57453*(-12)\/(-10).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c349bb - -b?\nAnswer: c349c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let x(v) = 9*v**3 - 13*v**2 + 14. Let j(n) = 5*n**3 - 7*n**2 + 7. Let h(b) = -11*j(b) + 6*x(b). Calculate h(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 + 6498. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5507 (c) 0 (d) 6\/13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*h = h - 4, -3*k + 22 = 4*h. Suppose 0*p - 64 = -2*p - 2*s, -5*p + k*s = -188. What is the highest common divisor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3295 and -256190034.\nAnswer: -256186739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/4 + 355*z**4\/2 - 4200*z**3 + 21635*z**2\/2 + 16799*z\/4 - 10995 = 0.\nAnswer: -733, -1, 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -391983 - 655890.\nAnswer: -1047873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 8 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1014 and 51994878?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 23. Let q be (2 - 1)\/1 - -3. Find the second derivative of -f + 0*f**d - 2*f**q + 3*f wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*13\/(208\/32).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (46 - 30) + 21\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1974 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**5)**(-10)*(c**(-2\/11)*c)**(-2\/45))**(-28\/9))**(4\/15) assuming c is positive.\nAnswer: c**(369824\/7425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-1 + -3) + (5670\/27)\/(-30).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + -2 + 3 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 0*n**2 + 0*n**2)*(22*n**2 + 13*n**2 + 55*n**2 + 0*n**2) + 2*n**4 - 3*n**4 + 0*n**4.\nAnswer: 269*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 - 2322?\nAnswer: -2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-21) + 1770318\/(-63). What is o rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 + -1) - (10 - 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.6 - 4.6. Let k = 43.99999892 - f. Round k to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.13492675 + 3.43492745. Let w = -14.7 - r. What is w rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 5 (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-4))\/((-2)\/(-8)). Suppose -2*c - c + 15 = -3*n, n - m = -5*c. Find the first derivative of 7 - 4 + p**c + 2*p**2 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/sqrt(3) - ((sqrt(108))**2 + 4).\nAnswer: -112 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 + j**2. Let n be g(1). Let c be (4\/n)\/(6\/(-126)). Let s = -28 + c. Is 2\/13 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12*i - 13*i - 470 = 0, -2*w - 5*i - 934 = 0. Let q = 502 + w. Solve -24 + q = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + d**3 + 2*d**3)*(1 + 1 - 1)*(-2 + 2 - 2)*(-d + 6*d + 5*d).\nAnswer: -80*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and 97.1?\nAnswer: 97.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 2*v**2 + 3*v - 2. What is p(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 812\/120 + -6 - (-1)\/(-6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -9. Suppose 0 = -5*s + q + 9. Suppose -s*l = -10*l + 30. Solve l*d - 4*v = -19, d = -d - 2*v - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235420567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/16*1\/(-1 + -1). Suppose i = -3*a + r + 3, -3*r - 1 = -a - 0*r. Let j(b) = -6*b**3 + b**2. Calculate j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*6\/8*28. Let t be 1*-5 - (-35 - 4)*-2. Let d = -86 - t. Sort -5, y, d.\nAnswer: y, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10331 + -3?\nAnswer: 10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 576 = 6*b. Let v = -1 + -3. Let l be (2\/v)\/((-2)\/72). What is the highest common factor of l and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5\/4 + 10779*t**4\/4 + 235785*t**3\/4 + 353121*t**2\/4 - 364182*t + 214260 = 0. What is t?\nAnswer: -3571, -20, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.24 + 5.24. Which is the closest to 2? (a) 0.13 (b) 4\/7 (c) 0.4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:20 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/416580 and -83\/93230604.\nAnswer: 466153020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 12*k**2 - 16*k + 6. Let j be x(-10). Let o be j\/(-8) - 3\/12. Sort 35, o, 1 in decreasing order.\nAnswer: 35, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 25*m**2 + 3935*m + 1570 = 0.\nAnswer: -157, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/3)*i**2*i)\/(i*i**(4\/3)*i*i\/(i*i**(2\/31)))*(i**(1\/3))**15\/((i**6*i)\/(i**7*i*i*i)) assuming i is positive.\nAnswer: i**(874\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 77. Let w be r(5). Let i be (-218)\/(-9) - 16\/w. What is the second derivative of 4*d**2 + i*d + 14*d**2 - 28*d - 31*d wrt d?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5 + 256*c**4 - 14*c**4 + 500094 + 548100*c**2 - 24572*c**3 - 1024002*c + 140*c**4 = 0. Calculate c.\nAnswer: 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-45)\/(-21))\/(-5)*-7. Solve -15 = 6*h - x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 - 3*j**2 - j. Let f = -31 + 34. List the prime factors of s(f).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 49*y - 1210. Give c(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 346, 529, 712?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m - 5, 3*m - 5073 = -4*o. Suppose -15*y = o - 7464. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 551510 = -549061 for b.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151.8 or 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217 is divided by 309?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1095468 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h**2 + 2247*h + 2239*h - 4496*h to s*h**2 + a + n*h and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242352 - 2?\nAnswer: 242350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3, -1, 4, 37, 98 in ascending order.\nAnswer: -3, -2, -1, 2, 4, 37, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381801 is divided by 54543.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10472\/9044 + 4832\/(-38)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -28*n - 3. Let o(z) be the second derivative of -19*z**3\/6 - z**2 - 24*z. Determine 5*m(h) - 7*o(h).\nAnswer: -7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j - 550 + 1639 - 1151 + (3*j + j - 3*j)*(6 - 5 - 2)*(0 - 6 + 4) as s + w*j and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2252366 - 722366. Round f to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1940 times 0.2\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2. Let d(p) = -43*p + 10. Let i be 5*(-4)\/6*81\/(-54). Let c(j) = -3180*j + 742. Let n(s) = i*c(s) - 371*d(s). Calculate n(z(k)).\nAnswer: -159*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2901, -5583, -8293, -11043, -13845, -16711, -19653, -22683?\nAnswer: -25813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81301999.3 rounded to the nearest 1000000?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - z - 28, -3*s = -6*s - 5*z + 124. Suppose 0 = 4*n - s + 9. Let k = n - -7. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. What is the third derivative of -2*s**2 - 2*s**4 + s**z - 2*s**4 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -224\/3 + 74. Let u = -758 - -752.87. Let q = 0.13 + u. Do l and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 - 12\/30. Let s be 98\/(-21)*(-6)\/4. What is the biggest value in 3, s, -3, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llwd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -7*u**5\/40 + 4*u**3 + 25*u**2. Let r(a) be the first derivative of t(a). Let q(b) = 3*b. Calculate r(q(p)).\nAnswer: -63*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*520500\/(-8328).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*u + 4*u. Let r be (-1225)\/(-14) - (-3)\/(-6). Suppose 2*o + y - r = -u*o, -2*o = -4*y - 66. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 4*c + 7. Let j be z(-5). Suppose 2*r = 5*s - 218, j*r - 222 = -4*s - s. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 14 = -42*w + 40*w, 4*w - 3*a + 16 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 35*a + 98. Suppose 0 = -5*r + 5*i - 8*i + 179, -28 = -r + 2*i. Calculate the remainder when y(r) is divided by (-41)\/(-3) + (-4)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79073 divided by 1.\nAnswer: 79073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/6*135*(-11)\/(-165)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) -0.3 (c) 13 (d) 3 (e) -6 (f) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:19 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5368, -10877, -16386, -21895, -27404, -32913?\n\"Answer: -5509*s + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29178794723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**2. Let h(m) = -258*m**2. Determine y(h(f)).\nAnswer: 399384*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2307 less than -8000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 826 - 179 = 0. Suppose 2*v - 5*v = -g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 300 + -295. Suppose -13709997 = -x - 3*b, -w*b - 41130005 = -6*x + 3*x. Round x to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -715 + 1946. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -14. Which is the third smallest value? (a) -2\/9 (b) 2 (c) -1\/3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a day?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**2 + 2*k - 3*k + 8*k**2 - 2*k**2 + 5*k**2 - k**2 + (-4*k - k + 3*k)*(3*k - 5*k + 0*k).\nAnswer: 8*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2*b + 2. Let a be p(-3). Let l be ((-10)\/3)\/((-4)\/6). Find the third derivative of -2*m**l - 11*m**2 + 0*m**5 - 3*m**a wrt m.\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 17\/3, 8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8466060 and 60.\nAnswer: 8466060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-1\/2)))**29*((g*g**12*g)\/g*g)\/(g*g**1))**(1\/15) assuming g is positive.\nAnswer: g**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32265640831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. What is the units digit of (b + 260\/25)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3883, 3881, 3879, 3877, 3875?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 56 = 8*p. Calculate the common denominator of 5 - (-13)\/18*p and 70\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)*v)**26)**(-49) assuming v is positive.\nAnswer: v**8918","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 0, 356 = -0*v + 4*v + 5*b. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 9*i + 1. Let f(k) = 22*k + 2. Let q(v) = 5*f(v) - 12*l(v). Let j be q(5). Let x = 1772.4 + -1772.3. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140276324.\nAnswer: 2, 37, 281, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005\/(1 - -2) - (33 - 38) is divided by 69.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 + 7*u**2 + 6*u + 42. Let x be b(-7). Let n = -138 - x. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q\/(((q\/((q\/(q*q*q**(2\/7)*q*q))\/q))\/q)\/q))\/q)**30)**(-2\/17)\/(q**(2\/9)\/q**(-1)*q\/q**5*q**(4\/3)) assuming q is positive.\nAnswer: q**(6407\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 10:52 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -335065 (base 8) to base 9\nAnswer: -182253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008443276 rounded to six decimal places?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7139066 to the power of 1\/2, to the nearest integer?\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 13447018 = 34891018. What is s rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127795.5 milliseconds in hours?\nAnswer: 0.03549875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 8*b**2 - 3*b + 15. Calculate m(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/175 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 + -2 - (-2 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27.073 * 37\nAnswer: -1001.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.351462 - -1.352. Round u to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/(s*s\/(s**(1\/2)\/s))*s**(-5\/2)*s*s**(-1))\/((s**(2\/3)*s)**(20\/13))**(-5\/3) assuming s is positive.\nAnswer: s**(-85\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 212.789 + -503.9982.\nAnswer: -291.2092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, 0, -72, -487 in ascending order.\nAnswer: -487, -72, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(-3 + 0 + 5 + 1 + 3 - 3 + (3 - 4 + 3)*(2 - 3 + 0) + 0 + 5 - 1 + 46 + 12 + 95)*(-4*k + 6*k - 4*k).\nAnswer: 632*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -27*k**2 - 15 - 3 + 6*k**3 - 5*k**3 + 51*k - 1. Calculate the least common multiple of g(25) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2 = 2*f. Suppose 4*i = 5*p - 25, f*p + i + 13 = -2*i. Let r = 4 - p. Let x(l) = l - 4. Determine x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a - 11. Let y(v) = 1. Let m(t) = -2*y(t) + z(t). What is the derivative of m(g) wrt g?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 + -123.1. Let n = -1.1 - k. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*c - 640, 2*b = -b + 12. Suppose 0 = 4*q - 0*q - c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 138, 566, 1260, 2214, 3422, 4878, 6576?\n\"Answer: -c**3 + 139*c**2 + 18*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -f + 8*u + 946, -f = -2*u - 941. Are 929 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12. Let g(s) = -s + 12. What is 3*b(x) + 2*g(x)?\nAnswer: -2*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61871 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 35\/84668?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12*t = 0. Suppose t = k - 5*p - 267, p = 3*k + 2*p - 801. What are the prime factors of k?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.706888 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (3 + -4 + sqrt(180)*-1 + 3 + -2)**2 + -5.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 15. Suppose r + 2 = d + 6, -4*r + 5*d + s = 0. Solve -2*t + 0*t - r = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = -4*l + 226, 4*s + 216 = 4*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436427763*0.5.\nAnswer: -218213881.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -3 + 3\/2*b**2 + 0*b. Let y be t(1). Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -201265150 to the nearest one million.\nAnswer: -201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 32029*g - 18 = 32032*g, 5*g + 30 = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48256573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235.03 - -236. Let f = n - -0.03. Let v be 13\/(-3) + (-1)\/(-3). Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a**3 + 147 + 116 - 111*a + 111*a.\nAnswer: 39*a**3 + 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29 + 69*f**4 - 75 + 24*f**4 wrt f.\nAnswer: 372*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4 + c**3 + 3*c**2 - c - 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z**2 + 334*z + 117*z**2 - 63*z**2.\nAnswer: -6*z**2 + 334*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tyrdyqrtl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15.72, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1195 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1380?\nAnswer: -1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 20 - 62 + (1 + 0 + 0)*(-2 + 0 + 0))*(-2 - 2 + 5)*(0 + 3 + 2)*(2*b**2 - b**2 - 2*b**2).\nAnswer: 345*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -460, -466, -472, -478?\n\"Answer: -6*v - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -255 + 254.97. Put 2, f, -20 in decreasing order.\nAnswer: 2, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*t = 2, 10 = -2*q + 3779*t - 3773*t for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885 is divided by 842?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 6*l - 33. Let t(o) = -o**2 + 7*o - 34. What is -7*m(r) + 6*t(r)?\nAnswer: r**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.16, -26, 0.5, -1\/34, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -325828.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let q be (-20)\/(-45)*(-18)\/(-4). What is the third derivative of b + 2*b**q + l*b**6 + b**6 - b wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 171 + 4*f + 42 + 8*f - 4*f.\nAnswer: 16*f - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(2057) + -3) - sqrt(2057) - (-3 + -3 + sqrt(2057))) + 2)**2.\nAnswer: -176*sqrt(17) + 8244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 - -93. Let w be (-60)\/(-9)*(p - 312\/(-66)). Is w less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12877 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -23.581.\nAnswer: 9.4324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 - (-7 - -14) - (-1 + -154) is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163412 is divided by 387227.\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p**2. Let c(i) be the second derivative of 1\/6*i**4 + 0*i**2 + 0 + 0*i**3 - 11*i. Give c(q(t)).\nAnswer: 200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 30*t**2 - 2*t - 2. Suppose 10*l - 100 = 95 - 205. Let c(i) = -i**2 + i. Determine l*h(p) - 2*c(p).\nAnswer: -28*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**2 + 3*k. Let v be (-32)\/112 - (40\/7 - 1). Let m(c) = 15*c**2 + 6*c. Give v*y(w) + 2*m(w).\nAnswer: -5*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272461.\nAnswer: 7, 38923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 564600 - 564600 - 563*u.\nAnswer: -2*u**2 - 563*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.143 - -0.017. Let s = u + -0.68. Which is greater: 0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 37611138823.\nAnswer: 37611138823.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1663 divide 1068119955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.229 - -0.071. What is the second smallest value in z, -3, 122?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.659711ug in milligrams?\nAnswer: 0.001659711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 4\/5*b**5 + 0*b**2 + 0*b + 0*b**4 - 2 - b**3. Find the third derivative of d(i) wrt i.\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227853508 divided by 3\nAnswer: 227853508\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8933 - -8931.7012. What is o rounded to two dps?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-326))\/(-2)*-1. Let s = g + -335\/1467. Let r = -0.3 + 0.2. Which is the closest to r? (a) 0.2 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**5 + 708*z**4 - 29292*z**3 - 2132*z**2 + 89328*z - 58608 = 0.\nAnswer: -2, 1, 66, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -47.7 times 23\nAnswer: -1097.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54, 109, 168, 231, 298, 369, 444?\n\"Answer: 2*x**2 + 49*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j**2 + 2 - 87*j**2 + 41*j**2.\nAnswer: -8*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 359842967*u + 252312160 wrt u.\nAnswer: 359842967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/1050 and -73\/210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 5*s + 1 = 11. Let i(o) = 1 - 2 - o + 4. Let b be i(0). Is s at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*g + 900 + 308, v + 4*g - 1202 = 0. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 398124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*b**2 + 4205*b - 64930.\nAnswer: -5*(b - 151)*(5*b - 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/10 - 6\/(-15). Let h = 139 - g. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65495278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -105210 * -5\nAnswer: 526050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111213113030 (base 4) to base 7.\nAnswer: -66106454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -6. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59367045 a multiple of 2445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -80.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-12) + 290\/152 + -1. Let x = m - 3\/19. Solve -1\/6 + 1\/3*d**3 - 1\/3*d**2 + x*d**4 - 1\/2*d + 1\/6*d**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -818.1*-99328\nAnswer: 81260236.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - a7389?\nAnswer: -a737a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3486*o**2 - 1 - 3496*o**2 + 0 to the form n*o + s*o**2 + t and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -618435050 and -0.4?\nAnswer: 618435049.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -6\/167, -3\/2800?\nAnswer: -3\/2800","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 16*l + 141939 - 141957.\nAnswer: 12*l - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 88466?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/157302990 and 19\/181350.\nAnswer: 786514950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p, -102 - 96 = -3*t + 3*p. What is the remainder when 128 is divided by t?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -5.87732621565.\nAnswer: -6.37732621565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*z - 266*z = -32. Suppose -4*x - z*p = x - 232, -2*x + 94 = p. What is the remainder when 333 is divided by x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.1. Let h = 5 - 7. Sort 1\/3, h, f.\nAnswer: h, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h*k**3*q - 9*h*k**2*q - h*k**2 - 531*h*k + 4*k**2*q + k*q wrt k.\nAnswer: -6*h*k*q - 18*h*q - 2*h + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 30*u = -5*q - 19, -u = 4*q + 32 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and 1401842657.\nAnswer: 1401842656.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 33299730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615346?\nAnswer: 2, 89, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(168\/6))\/(9540\/(-4240))\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59, -192, -403, -692?\n\"Answer: -39*s**2 - 16*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 11*y - 27. Let w be o(3). Let f = -26 - w. Which is the third smallest value? (a) 55 (b) 2\/13 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2))\/(2\/(-10)). Suppose -14 = 4*y - 8*y - 2*c, -12 = -2*y + 4*c. Suppose 9*h - 6*h - 3 = 0. Put y, t, h in descending order.\nAnswer: t, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (861\/164)\/(9\/(-4) + 2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 8. Let a(p) = 5*p + 7. Let h(l) = -7*a(l) + 6*t(l). Let x be h(-3). Solve -6 - x = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 0.03889655\nAnswer: -48.96110345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 13 + (1 + -12 - -40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 5*v - 4. Let b be n(-8). Suppose 5*h = -r + 3*h + b, -2*r + 40 = 5*h. Suppose w - r = -3. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5124805.4388229 - 0.5.\nAnswer: 5124804.9388229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/7, 9, -24.\nAnswer: -24, -3\/7, -0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13621421?\nAnswer: 11, 71, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 66. Suppose -4*z - 42 = -5*y - 5*z, -j = -y - 2*z. Solve -i = -5*g - 10 + 1, -5*i - y = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, q: 1, m: 2, s: 1, v: 1, f: 1}. Give prob of sequence vqmm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**2 - 2\/3*p**4 + 2*p - 4\/3*p**3 + 3. Let q(n) be the first derivative of g(n). Factor q(u).\nAnswer: -2*(2*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/((-6)\/(-3)*-1))\/6*18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 5:40 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-14) - (-2 + (-12)\/(-7)). Let -42\/5*g - 4\/5 - 232\/5*g**4 - 72\/5*g**5 - 32*g**n - 282\/5*g**3 = 0. Calculate g.\nAnswer: -1, -1\/2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 45075.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*x**3 - 4*x**4 + 32*x**3 + 46*x**4)*(1 + 0 - 2).\nAnswer: -42*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 5356 + 5362 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3736 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33543255 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2399, 3\/7, -2, -1, -2\/3.\nAnswer: -2399, -2, -1, -2\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -657709 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*k + 64 = 0, -5*k + 73 - 26 = 4*n. Let v(t) = 4 + t - 52*t**2 + 3*t + 54*t**2. Calculate the lowest common multiple of v(-3) and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-112))\/(1\/(-2)). Put 1, -0.5, b in ascending order.\nAnswer: -0.5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095986950 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445098482.\nAnswer: 2, 79, 2817079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 10*j - 4. Let v be a(9). Let x = -1 + v. Suppose 0 = 3*u - x*c - 16, 5*u + 2*c + 3 = -5. Solve 0 = -4*k - u + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3071)\/(-370) + (-27)\/90 + 1 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -5) + (-1480)\/(-320).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(367*p - 367*p - 129*p**3)*(-29*p + 29*p - 8*p**2).\nAnswer: -2064*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t = 85 - 361 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, 1, 67\/99, 0.2, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138113167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y + 1. What is the least common multiple of q(1) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(-3*(-8)\/(-36))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 117? (a) 1\/2 (b) 0.22 (c) -925\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16584*k**3 - 47 - 2*k - 16587*k**3 - k**2 + k**2 in the form h*k + x*k**3 + b*k**2 + f and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216357 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18969*s**3 - 164605*s + 164605*s.\nAnswer: 18969*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -24, 4 in decreasing order.\nAnswer: 4, -12, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95835 is divided by 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 605570 and 0.202.\nAnswer: 122325.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - 4) + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316247?\nAnswer: 521, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237082 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -3. Let c be 2\/(-10) + 1\/15*48. Suppose -4*u - 59 = -x, 213 - o = c*x - 5*u. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5 + 610\/50. Suppose 0 = 2*o + 2*o - l. Let z = 11 - 8. Solve o*b = -z + 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 0\/(-1 + 2). Suppose -v*s + 110 = 3*s. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -12*f**2 + f. Let h(k) = -k**2 - k + 3. Let g be h(3). Let n(p) = 13*p + 116. Let b be n(g). What is o(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2362, -0.1 in increasing order.\nAnswer: -0.1, 3, 2362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 29*q**3 - 3*q - 2*q**3 + 10*q**3 + 4*q.\nAnswer: 42*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.12092, 2\/3, 2, 3\/2 in descending order.\nAnswer: 22.12092, 2, 3\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b = 6*b + 92500. Suppose 2*o = o. Let v be (o\/2 - b)\/(7\/(-2800)). Round v to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006511798 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (63 + -5 - 22) + -24\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u = -58*u. Which is smaller: -3\/34 or u?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 + 2 + -2 - -1 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7828472978 to the nearest integer?\nAnswer: 88479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*3*-2 + 2*sqrt(190)*5)\/(-2*(sqrt(40)\/sqrt(4)*-1 + (-1*sqrt(160) - sqrt(10)))))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-6)*32\/(-4360). Which is the second smallest value? (a) l (b) 0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849316362 a multiple of 678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r. Let s be t(1). Suppose 4*k + 48 = x, -x + 5*k = -s*x + 75. What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from iiiiigigigiiii.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 869091 = 5*x - 105*a + 103*a, 4*x = -4*a + 695284. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-460)\/(-120) - 3\/(-18). Let p be 2 - 4 - (-73 - -1). Suppose -i = v*i - p. What is the remainder when 26 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 - 4*i - 5. Let b be a(3). Solve -b = 2*p - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 964744623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4779 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.6633 centuries in months?\nAnswer: 76395.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 1885182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/((-27)\/12) - -102 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t + 3044 - 3044.\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2050 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1799*u**2 + u**4 + 1800*u**2 - u**3 + 2 - 5 - 5*u to the form r*u**3 + c*u**2 + l + p*u**4 + m*u and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 15084*w - 15082*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192\/13*i + 0 - 2\/13*i**3 + 44\/13*i**2 = 0. What is i?\nAnswer: 0, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(1 + -2*((sqrt(128)*-1 + 4)**2 + -1)*6).\nAnswer: -3072*sqrt(2) + 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, 2, -0.213859?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c + 26. Let d be k(4). Suppose g + 4*b + 14 = 0, -3*g - 2*g - 2 = 3*b. Solve 5 = -4*q + 5*m, -3*q - d*m + g = -0*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600921708 to the power of 1\/2, to the nearest integer?\nAnswer: 60008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4 and -73\/3248.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 15*l - 10.\nAnswer: -5*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 576*t**2 - 14*t + 12024.\nAnswer: 1152*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzb when three letters picked without replacement from {b: 14, z: 5}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2062 + 0.246?\nAnswer: -2061.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12606 + -8406. What is x rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-402114)\/(-11592) - 3\/9. Let k = h + -465\/14. What is the common denominator of k and 99\/14?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -3 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 110*h - 1341. Give n(96).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*g + 1851*g + 1273*g + 616*g + 1699*g.\nAnswer: 5102*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15580 and 3116.\nAnswer: 15580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.2 (c) 0.3 (d) 4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*y + 36 = 0, 18 = 2*a + y - 15. Let i be 8\/32 + a\/4. Find the third derivative of -13*h**2 + 7*h**4 - 9*h**4 + 2*h**4 - 26*h**i wrt h.\nAnswer: -624*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -10010 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 136 and -0.05.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*z - 580 + 2214 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9819 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) - 57*(-3)\/(-54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*k**3 - k + k + 0*k + 48*k**3 + 20*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 11520*f**3 - 14237544*f**2 + 6102420480*f - 841822548528.\nAnswer: -3*(f - 1586)**2*(f - 334)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(891)*1 - (2 + -1*sqrt(891)))**2 + (sqrt(891)*-1 + -3)**2*3.\nAnswer: 306*sqrt(11) + 16957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**7\/2520 + n**6\/720 + 7*n**5\/120 + 29*n**4\/12 - 26*n. Let v(g) be the third derivative of u(g). Calculate v(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6605127 and 522?\nAnswer: 13210254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*c + 2 - 8, 5*w + 10 = 5*c. Let h(u) = 1 + u**2 + 19*u**3 - 20*u**3 - w*u**2. Let l(d) = 5*d**3 + d**2 + 2*d - 3. What is 3*h(f) + l(f)?\nAnswer: 2*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/12 - 167*s**2\/2 - 157*s. Let r(m) = -2*m**2. Calculate j(r(q)).\nAnswer: -4*q**4 - 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3418667 is divided by 427333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -204*j**2 + 7*j + 381. Let a(h) = -205*h**2 + 10*h + 381. Let y(z) = 3*a(z) - 4*c(z). Find the second derivative of y(v) wrt v.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 8\/64*0) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/436418 or 0?\nAnswer: 3\/436418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1386, 5501, 12368, 21993, 34382, 49541, 67476?\n\"Answer: a**3 + 1370*a**2 - 2*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9116509 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-24)*-38 - (23 + -29). Which is the closest to -1? (a) -0.3 (b) j (c) 3\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 121.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 k, and 1 d when four letters picked without replacement from ukdkkukgkgkudug.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)*f)\/(f**(1\/5)*f))**(-5\/3)\/((f*f**(-1\/2))**(13\/4)*(f**1)**(-13)) assuming f is positive.\nAnswer: f**(1057\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d - 3*z + 37 + 30 = -137*d, 56 = 4*d - 8*z for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 7*o**2 - 39*o + 48. Suppose -81 = -5*v + 16*p - 19*p, 2*v = 2*p + 26. List the prime factors of l(v).\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125.5 - 12.5. Let g = 137.9786 + w. Round g to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 4*o - 491 + 439 = 0, f + 5*o + 23 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 3*l - 419. Let x = l + -79. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l**2 - 86*l**2 + 68*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*4\/4 + 3. Suppose i = 4*m + 21 + 35. Calculate the least common multiple of ((-14)\/(-5))\/(m\/(-70)) and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 + 5 = 0. Let a be (x\/6)\/(1\/26). Let u = -9 + a. Sort u, 0, -1 in increasing order.\nAnswer: -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302362353.\nAnswer: 3, 33595817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 6*b**2 + b - 4. Determine y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/6*(-15)\/(-10). Solve -2*m - 3 = 2*b - 5*m, 3*m = k*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47888 and 656?\nAnswer: 47888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -40. Suppose 7*r = 5*r - g. Let j be (-2)\/15*(-10)\/(-2). Sort r, 0.5, j.\nAnswer: r, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4\/9*o**3 + 0 - 8\/9*o + 4\/3*o**4 + 4\/9*o**5 - 4\/3*o**2 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16599760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6524, 6616, 6712, 6812, 6916?\n\"Answer: 2*r**2 + 86*r + 6436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 50 = -c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*w, 4*w = -3*d - d - 32. Let g be (-1)\/(38\/10 + w). Suppose 0 = 43*f - 45*f + 230. Calculate the greatest common factor of f and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 40. Put -0.3, l, -0.2 in ascending order.\nAnswer: -0.3, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 - 1120201?\nAnswer: -1112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 1)*((10 + 2 - 2)*(-4*c + 5*c - 3*c) + (-8 + 62 - 33)*(-4*c + 3*c + 0*c)) in the form d*c + o and give d.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/52)\/(((-3)\/2)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - 4*d**3 + 4*d**3 + (-d - 1 + 1)*(4*d - 4*d + d**2) - 2*d - d**3 + 2*d - 2 + 2 - d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71869 is divided by 5528.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -16*l + 41. What is s(8)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 2428*h**2\/3 + 4868*h\/3 + 6480.\nAnswer: -(h - 4)*(h + 2)*(h + 2430)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:06 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d**3 - 1 - d**2 - 2*d + 3*d - 25*d**3 - 3*d. Calculate the remainder when u(-1) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 4 - (11 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 2*j + 6*y - 3475, 0 = 4*j + y - 7005. Let x = 84007\/48 - j. Calculate the common denominator of -173\/60 and x.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49631732 divided by 382.\nAnswer: -129926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*i**3 + 3 - 2 + 2*i**4 + 143*i**3 - 2*i to p*i**4 + w*i**3 + s + f*i**2 + d*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16b6 + -574?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44275964.\nAnswer: 2, 11068991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 + 9*j**2 - 57 + (j - 3*j - 2*j)*(-j + 3*j - j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 64 - 12*g**2 - 39 + g**2 - 31. Let k(s) = 12*s**2 + 7. Suppose -35 = -86*n + 81*n. Suppose 0 = 3*c - 2*c + n. Calculate c*l(w) - 6*k(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 - 100. Calculate the remainder when 88 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:57 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6351860 and -7\/12386127.\nAnswer: 247722540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 44*c + 78. Give k(-23).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -376269 divided by -3\nAnswer: 125423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(637) + sqrt(637))*-1*-3 + -1*2*sqrt(637)*-4)**2*-6.\nAnswer: -1528800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/7, -0.15, -32734?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -100*a. Let y(f) = 117*f - 1. Let r(s) = -7*g(s) - 6*y(s). Suppose 5*t - 10 = 2*d, -d + 3*t - 5 = 2*t. Give r(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 661996872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {c: 2, m: 3, f: 1, o: 3, u: 9, p: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 + 2)*(-2)\/2. Suppose -2 + h = 2*n. What is the second derivative of -3*w**5 + 2*w**5 - 8*w + n*w wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - q**3 + 2*q**3 + 11*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7728\/84)\/276)\/((-3)\/63*1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*n = -114*n - 31 + 100. Let g(p) be the third derivative of -p**4\/8 - 2*p**3\/3 + 3*p**2. Determine g(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1077*f + 55. Let r be z(-1). List the prime factors of r - 0 - (-15 - -18).\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 16*s + 14 = d, 8 = 2*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2314 - 2282. Solve 20*u = n + 28 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o - 389. Determine s(40).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2*3\/(-12). Suppose t - 93 = -n*t. Let l(k) = k**2 - 11*k - 184. Calculate the remainder when t is divided by l(21).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -l + 2*y + 11, 3*y + 30 = 3*l. Let c = -3 + 5. Let -2*z + 3*z - l*z**c - 4*z + 0*z**2 = 0. What is z?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 4*w**2 - 25*w - 6. Let l be b(-7). Let h be 66\/(4\/2) + (-4 - -6). Let v = h + l. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5971.\nAnswer: 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 30. Suppose -g = s*c - 2*c + 570, 4*c + 5*g + 477 = 0. What is c rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3981824 and 33229?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 904853 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228519 = 117*s + 21749 + 2218. Is -15116\/7 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(209)\/(sqrt(11)*-4) + (sqrt(190)*2*-3)\/sqrt(10))**2.\nAnswer: 25*sqrt(19)\/2 + 11891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608456308 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -226, -758, -1784, -3466, -5966, -9446, -14068?\nAnswer: -19994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-4\/11))**9\/((x**(-1\/8)*x*x)\/x)**(-2\/5))**37 assuming x is positive.\nAnswer: x**(102749\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103050 - 34?\nAnswer: -103084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -171?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -24, -0.03, -7.302 in ascending order.\nAnswer: -24, -7.302, -7, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 345 = 3*c, 3*i + 123 = 2*c - 3*c. Let v = c - -174. Suppose -z = -2*w - 18, z - w = -3*z + 44. Calculate the remainder when v is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.9 (b) 4 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 759964 and 18817.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**3 - 2*n**2*p + 14*n*p + 3*n + 3572*p - 2 with respect to n.\nAnswer: -3*n**2 - 4*n*p + 14*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6 = -2*t, 9 = 2*t + 3*m - 1. Suppose 3*u = t*u + 10. Solve 0*j + u = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -1, -4.22?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1195 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2806 - -22451\/8. Which is the third biggest value? (a) -12 (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101001011001001011111 (base 2) in base 16?\nAnswer: 94b25f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 6252*p\/5.\nAnswer: 2*p*(p - 3126)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddgggdgdgd. What is prob of picking 1 g and 3 d?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**(14\/11)*(r**(-2))**(-4\/5))\/((r*(r*r\/(r**14*r)*r*r)\/r)\/(r*r*((r\/(r**0\/r))\/r)\/r))**(-44) assuming r is positive.\nAnswer: r**(-31512\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(7 + 72 - 29)*(-w - 2*w + w).\nAnswer: 200*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118360, -118065, -117770?\n\"Answer: 295*s - 118655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - (19 - 18) - (4 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-90))\/(88\/(-220))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -32*m**2 + 2*m + 1. Let t be c(-4). Let z = 806 + t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28187144 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g. Let q be k(-1). Suppose 2*z**5 - q*z**3 + 4*z**3 - z**3 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 5*c, -7*c = -4*d - 2*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -46.1616?\nAnswer: 230.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -25. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/11)*(p\/(p\/(p**(-10)*p)))\/p)\/(p**(2\/7)\/(p**(2\/3)\/p)) assuming p is positive.\nAnswer: p**(-2579\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)\/(h\/(h\/(h*h*h**(-5)*h*h))))**6 assuming h is positive.\nAnswer: h**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -12*h + 349. What is the remainder when o(11) is divided by 766\/14 + 4\/14?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**6\/240 + w**5\/120 + w**4\/24 + 23*w**2\/2 + 18*w. Let a(f) be the first derivative of n(f). Factor a(g).\nAnswer: -g*(g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let z(g) = -g**3 - 5*g**2 + 7*g + 7. Let m be z(-6). Let k be (-2)\/((-75)\/81 + m). Let n be 2\/3*k\/(-6). What is c(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:13 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782 + 920 = 95*m - 1477 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, m: 1, q: 4, w: 10}. What is prob of picking 1 g and 1 q?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -1\/3, 14700, 1\/5.\nAnswer: -1\/3, -0.01, 1\/5, 14700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 361610749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10460856 to the power of 1\/2, to the nearest integer?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444489 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939 is divided by 955?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:08 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.7. Let r = c - -0.0999949. Round r to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 plus -16140306?\nAnswer: -16140297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*r - 3*j, -j = -2*r + 3*j + 26. Suppose i - 3*c = -20, 5*i = -2*c + 3*c - 30. Put i, r, 8 in increasing order.\nAnswer: i, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -433*n + 987. What is the thousands digit of c(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 6*q - 4. What is z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/80 + 7\/5 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 5:43 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, y: 3, s: 3, r: 1}. What is prob of picking 3 a and 1 r?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8*(-3)\/15)\/(4\/(-30)). Differentiate 17 + 19 + n - 37 + 40*u wrt u.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000375361 rounded to six decimal places?\nAnswer: -0.000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11511 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 18. Calculate the greatest common divisor of b and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 372, 830, 1472?\nAnswer: 2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:54 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527657429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40821*b**2 + 20410*b**2 + 20411*b**2 + 14*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + l**4 - 15*l**4 - 2 + 4*l**3 + l**3 + l to n*l**2 + m + p*l**3 + i*l**4 + z*l and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from qqqqqqqqoqqqoqqqqqqq?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2157870.24 to the nearest 100.\nAnswer: -2157900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 1. Let f(t) = -t**3 + 5*t**2 - 1. Let v be f(5). Let w(c) = -c**2 + 2*c + 2. What is the remainder when w(2) is divided by i(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119526 by 33.\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + u + 6. Let f be v(5). Let n be (-5)\/(-45) + 320\/36. What is the greatest common divisor of n and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*s = l + 14, -3*l + 16 = s. Suppose 5*d - 305 = l*q, 0 = 2*d - 3*q + 7 - 126. Let y = d + -32. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*s + 42578 + 13230, -3*v - 27904 = -2*s. What are the prime factors of s?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 17. Suppose -3 = y*k - 11. Solve -k*x + 2 = -18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-8))\/(2913\/(-1942))*4\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/42)\/1)\/(-10*(-33)\/495)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 263 (c) -67 (d) -5 (e) 2\/3 (f) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67, -70, -75, -82?\n\"Answer: -m**2 - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*p = 486*p - 552244. Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 402176, 402175, 402174, 402173, 402172?\nAnswer: 402171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 2*v)*(10*v - 46*v - 75*v).\nAnswer: -222*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1642190 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 9, 26*q + f + 4075311 = 4075392 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9211, -1, 2\/17 in decreasing order.\nAnswer: 9211, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-12)\/36)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7486474 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 + -318. Suppose -4*t = -h*m - 3660, t - 3628 = -3*t - 4*m. What are the prime factors of t?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**2 + 51358*p - 29352.\nAnswer: 2*(p + 3669)*(7*p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(76)*-2.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 157, 243, 329?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1002800 and 333104?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000100000100100011 + 1?\nAnswer: 1101000100000100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 611531 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(1*sqrt(3)*1))\/(5*(sqrt(1152) - sqrt(1152)*-2) - sqrt(1152)).\nAnswer: sqrt(3)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((-4 - -13) + -32)) + (11 - 24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.056, -90, 4, -0.5, -122 in decreasing order.\nAnswer: 4, 0.056, -0.5, -90, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.49136 minus 904696?\nAnswer: -904700.49136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 104*h + 480. What is the least common multiple of 238 and c(-3)?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18859 times -0.1601?\nAnswer: 3019.3259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.31 - -18. Round k to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4187 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5669 is divided by 2829?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 2*g**2 - 3*g - 1. Let i be a(2). Suppose 4*c = -o + 5*c - 5, 0 = -3*c - i. What is the tens digit of o*(-124)\/8 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 298 = 9*r. Let l = 60 + r. What is the remainder when 105 is divided by l\/6*-1*2*-4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45707 > 45707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 2. Let c(n) = -2*n - 1. Calculate 4*b(z) - 3*c(z).\nAnswer: -2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x - 4. Let p be v(8). Let q be -1*3 - (-12 + p). Suppose 0 = q*f - 4*h - 50, -2*h + 20 = 2*f - 3*h. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 3*r - r + r - 2*r + 2*r + (3 - 1 + 0)*(-3*r + 2*r - r) + 36803 - 36524 - 7*r + 6*r in the form m + b*r and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 2*l**4 + l - 5 - 10 + 16 to the form p*l + q + h*l**2 + f*l**4 + y*l**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-1)\/(-9 - -5 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -33. What are the prime factors of (-4)\/t*37*3 + 0?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 10*k - 6. Suppose 0 = 4*r - 2*s - 18, -3*s + s = r + 3. Suppose -r*t - 12 = -3*u + 8*u, -18 = 3*t + 3*u. Does 19 divide q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143977 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, -341, -880, -1555, -2318, -3121, -3916, -4655?\n\"Answer: 8*n**3 - 140*n**2 + 9*n + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i**3 - 23*i - 37. Give o(-3).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 56*((-3)\/12 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8356*x**2 + 2*x + 111. Is b(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137221997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*m = -50, 0*m = -4*q + m + 135. Let y = q + -35. Solve y = 5*o - 33 + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-12))\/((-10)\/45). Let v = f - -9. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1125101.\nAnswer: 6\/1125101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*t - 136*t - 100*t + 117*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m = -414. Let w = 233 + m. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyuy when four letters picked without replacement from uylujy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/((-54)\/(-48)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = y, 7*y - 2*y + u - 65 = 0. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(5\/6)*r*r*r\/r**7*r**6*r*(r**(-6)\/r*r**(-1\/3))\/((r*r**(3\/8))\/(r*r\/r**(-9))) assuming r is positive.\nAnswer: r**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10669 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 65, -16, -2\/11, 382, 1\/4.\nAnswer: -16, -2\/11, 1\/4, 4, 65, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 4*h + 10. Let v be k(7). Let z = -43 - v. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 22*f - y - 19, 2*y = -4*f - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60351?\nAnswer: 3, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7576715386 - 2169.\nAnswer: -7576717555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210384 = -53*h + 29*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - -67 - 39 - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-48)\/168 - (-65)\/7)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-3)*188\/720. Let k = 8\/27 - p. Is k < -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5578 + -0.3578. Which is the closest to 0.2? (a) -2\/11 (b) -20\/11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 12. Let y(d) = -13*d**2 + 13*d + 4. Let g(r) = 7*r**2 - 7*r - 2. Let i(k) = -11*g(k) - 6*y(k). Determine i(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/12*(-50294)\/60. Let i = 2076\/5 - z. Let f = -694 + 1447\/2. Find the common denominator of i and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0 + 1 - 28332*m + 3. Let p be o(-3). Let q be 100*p\/(2\/(-2)). Round q to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 26*m + 133. Let r be p(-18). Let u(n) = 6*n**2 - 9*n - 44. Is u(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -14, 21, 92, 211, 390, 641?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/9)*b*b**(-2\/9))**17\/((b**(-2\/9)*b\/(((b*b**0)\/b)\/b)*b)\/(b**(1\/5)*b**(-1\/6))) assuming b is positive.\nAnswer: b**(263\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.486771126 to 1 dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 2*x - 28 = 0. What is the third derivative of 427*z**5 + 58*z**x - 10*z**6 - 427*z**5 wrt z?\nAnswer: -1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 237.\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c*c\/c**22)\/c)\/c))\/(c*c\/(c*c**16\/c)*c*c) assuming c is positive.\nAnswer: c**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = 17. Let u = f + 8. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36325712 is divided by 18162847.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38)\/(-3) - (-2)\/(-3). Let d = 558 + -551. Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/50328 and 25\/33552?\nAnswer: 100656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 - 2*h**2 + 2*h. Let t be u(2). What is the remainder when (-9)\/t - (-147)\/4 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y**2 - 5*y + 8. Let s = 77 - 83. Let l be h(s). Suppose 2*o = -m - 2*o + 198, -4*o = 3*m - l. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5163, -20591, -46197, -81891, -127583, -183183, -248601?\n\"Answer: 15*j**3 - 5179*j**2 + 4*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/3 + o**3\/3 - 8*o**2 + 50*o. Find the first derivative of d(k) wrt k.\nAnswer: 8*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 3*n**2 - n - 4. Let u be z(-3). Find the common denominator of (61\/(-3))\/(4 - (-36)\/(-6)) and 21\/5 + (u - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -1\/2 (c) -43 (d) -40.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32566708 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnbbbbnncbnnbnbn. Give prob of picking 2 n and 1 c.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -60*w - 21. Let l(z) = 1 - 2*z - 3*z - z - 3. What is -2*j(k) + 21*l(k)?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**4 - o**3. Let t(k) = 343*k**5 - 295*k**4 - 260*k**3 + 286*k**2 - 84*k + 8. Let m(s) = h(s) - t(s). Factor m(p).\nAnswer: -(p - 1)*(p + 1)*(7*p - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -790?\nAnswer: -2\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*b = -17, -21*b + 29 = -4*c - 18*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2442941 is divided by 215?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69)\/(-21) + 6\/(-21). Let q be 1\/9*s*6. Suppose 8\/3*f - 8\/3 - 2\/3*f**4 + q*f**2 - 4\/3*f**3 = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 4*y + 13. Let k be d(-8). Find w such that -w**4 + 34*w**3 - 79*w**3 + k*w**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75515033 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 213, 327, 435, 537?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*d - 9, -3*l - 2*d + 15 = 6. Factor 45*y**2 + 16*y**3 - 44*y**3 + 25*y**3 + l*y - 45.\nAnswer: -3*(y - 15)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37059 - 37056. Let x be 6\/(-10)*(-2)\/(-6). Let w = 111 - 997\/9. Which is the second biggest value? (a) t (b) x (c) w (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501849619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31413730 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 55.9. Let v(d) = 12*d - 12. Let x be v(-1). Let y be (x\/(-40))\/(4\/12). What is the closest to q in -1, 5, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 11 - 25201*o + 6.\nAnswer: -25201*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 67 = v + 52, -35 = 3*v + 4*i. Is v at least 4\/12705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -87. Let q(p) be the third derivative of 5*p**4\/24 + p**3\/3 - p**2. Does 16 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6\/5, 615.05 in decreasing order.\nAnswer: 615.05, 6\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 864676733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 + 668*r**4 - 50382*r**3 + 48388*r**2 + 99440*r = 0 for r.\nAnswer: -1, 0, 2, 113, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 + 3) - (-18)\/(-12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*a + 308, 3*c - 4*a = a - 290. Round c to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -666 + 813.4. Let v = 29.6 + i. Let a = 175.97 - v. Round a to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 3. Let s be v(3). Let d be 3 + (-3)\/(-3)*2. Suppose s - 25 = d*k + 3*o, -4*k - 2 = -3*o. Which is greater: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.094746*220.\nAnswer: 20.84412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 114. Is (-6*(-1)\/y)\/2*-1706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -24 - (-1 + (-2 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -292 - -345.1. Let v = o - 92. Round v to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-78)\/65 - 2)*(-10)\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*x = -0*x - 17, 2 = -p - x. List the prime factors of (-2)\/(p\/(-71)*2).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2\/15 (b) -1\/8 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267038142359449\/34518 - 7736199733. Let g = a - -90\/523. Find the common denominator of -85\/18 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2 - 7 - c - 10*c**2 - 2*c + 0 - c**3. Let g be t(-3). What is the second derivative of 4*y + 9*y**g - 5*y + y**2 - 16*y**2 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 3, -19, -63, -135, -241, -387, -579?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11042, -15291, -19540, -23789, -28038, -32287?\nAnswer: -36536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 81*j**2 - 5*j. Let i(s) = 3*s + 87. What is m(i(l))?\nAnswer: 729*l**2 + 42267*l + 612654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:19 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -554 + 614. What is the highest common divisor of 750 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 829, 5836, 19443, 45952, 89665, 154884, 245911, 367048?\n\"Answer: 717*g**3 - 2*g**2 - 6*g + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41546 (base 8) to base 7.\nAnswer: 101206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + 0 - (3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*x**4 + x**2 - 17*x?\nAnswer: 3432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17194 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 12769*v - 8. Let l(q) = -q. What is l(x(f))?\nAnswer: -12769*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - -118?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - (-4 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*c - 25 = 0, -2*c + 3*c = 5. Suppose 0 = 4*k + 4*v - 100, -2*k + 0*k + 3*v + 50 = q. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5232*x**3 + 2611*x**3 - 5*x**2 + 2620*x**3.\nAnswer: -x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -5\/6*f**3 + 0 - 1\/120*f**6 + 18*f**2 + 0*f**4 + 0*f + 1\/15*f**5. Determine c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3051, -3308, -3565, -3822, -4079, -4336?\nAnswer: -4593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 minus 447533784963?\nAnswer: -447533784960.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510022019.\nAnswer: 13, 59, 73, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 0, -6, 13.\nAnswer: -6, 0, 0.4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 6611 and 0.03.\nAnswer: 6611.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8541447273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 304472, 304469, 304466, 304463?\n\"Answer: -3*a + 304475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 617*y + 67355. Give b(-95).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/40, -1, -1\/8, -1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one eighths of a hour?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.11, -0.1, 2\/3, 6\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = -6. Let u(q) = 7*q + 2. Let b(i) = 6*i + 2. Let r(k) = p*b(k) + 5*u(k). What is the units digit of r(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 18544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 69*z**2 - 2022*z - 1957. Determine o(-91).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -363 + -69. Let i = x - -432.3. Which is the third smallest value? (a) 3 (b) i (c) 18 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10 and -1\/650.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 - 2*u**2)*(u - 3*u + 0*u)*(-26 + 22*u + 26).\nAnswer: 88*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 12) to base 5\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 19 + 7)*(1 - 1 + b + (-2*b + b + 0*b)*(0 - 2 - 1) - b - 1 + 1 + 0*b + 2*b - 3*b - 2*b + b + 0*b).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 + 1176438*b + 115333863987 = 0 for b.\nAnswer: -196073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 - 7*n + 4*n + 4*n)*(139 - 25 + 70*n - 94) to the form m*n**2 + b + c*n**3 + p*n**4 + y*n and give p.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2655 + -2652. Let r be (-2)\/(-2) - (-2 + 3). Solve r = o + 2*o + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 1901.3\nAnswer: -1901.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 224*z**2 - 2379*z - 2111. Calculate o(100).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -2)\/((-3)\/87). Let g = -8 + p. Suppose g = -f + 6*f. Solve -4*i + 2*a + f = -12, 0 = -i + 3*a + 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 - 295. What is the nearest to 1\/2 in f, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 4, -0.6, 3922?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*t + 3 = 0, 93*z - 5*t = 182*z - 86*z + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2 - 12*l - 35 = 0.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + h + 2 = 0, h = -11*f + 6*f + 10. Suppose -f = -p - 0*p. Find the first derivative of 4 - 5*m**p + m**3 + 6 + 5*m**3 wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -299 + 317 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*t + 3*t. What is the remainder when 102 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 6*o**2 - 3*o**2 + (-5*o + 3*o + 3*o)*(-2 + 2 + o) - 2*o**2 + 4*o**2 + 0*o**2)*(76 - 58 + 2*o - 32) + (3 + 3 - 5)*(o**3 + 3*o**3 - 3*o**3).\nAnswer: 11*o**3 - 70*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(2*sqrt(4)*-5 - sqrt(4)))\/(-2*sqrt(1210)*-5))**2.\nAnswer: 3\/1464100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.5.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than 52956147\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60984 and 496584.\nAnswer: 3476088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182 - 199. Let j(i) = -20*i**2 + 29*i - 20. Let w(h) = 7*h**2 - 10*h + 7. Calculate k*w(m) - 6*j(m).\nAnswer: m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2323 + -2320. Let g be -4*(2 + (-339)\/2). Suppose 0 = -i*c - w + g, 3*c + 2*w + 685 = 6*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.1 - -21. Let g = 0.894 - x. What is g rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -489*u**5 + 612*u wrt u?\nAnswer: -9780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567925 is divided by 522615?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-3 + 0)\/6. Solve y*j = 5*a + 10, a + 18 = 3*j + 4*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + (sqrt(110) + 2*sqrt(110) - sqrt(110)))*5)\/((sqrt(110)\/sqrt(2))\/sqrt(5)))\/((1*sqrt(392) - sqrt(392)) + (sqrt(8) - 1*sqrt(392))).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625332.\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 10*o**2 + 8*o - 4. Let b be x(-9). Suppose -b*z = 5, 3*z - z + 20 = -f. Let w be 1\/2*12\/f*-3. Solve -2*a + w + 7 = -y, 20 = -3*y + 5*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/9 - 928*f\/9 - 89980\/9.\nAnswer: -(f + 110)*(f + 818)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 615\/246 - (-273)\/(-98)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117346319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 (base 15) in base 14?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-1*-4 - (-3 + sqrt(3) + sqrt(12)\/sqrt(4)) - (sqrt(6)\/(sqrt(2) - sqrt(2)*2) + 4).\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/12 - m**3\/6 - m + 3. Let w(i) be the first derivative of p(i). Determine c, given that w(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12080*d - 5511*d - 5447*d + 3 - 3.\nAnswer: 1122*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - (-75 - -175 - 70).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(3*j - 5*j + 4*j) - 2*j - j + 2*j)*(5*j - 5*j - 2*j**2).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -11*w**4\/8 + 3*w**3 + 12*w**2 - 23*w. Let k(b) be the first derivative of l(b). Find the first derivative of k(d) wrt d.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let k(g) = -964*g**2 + 142333*g. Give m(k(x)).\nAnswer: -964*x**2 + 142333*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -34944*r - 139782. Determine y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:29 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2189, -4397, -6631, -8897, -11201?\nAnswer: -13549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 4:11 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807 (base 9) to base 15.\nAnswer: 2da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-360)\/(-18))\/40)\/((-3)\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23332 is divided by 220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:06 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 30 = -5*c. Solve c = 3*d + d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*((-2 + sqrt(11))*3 + sqrt(11) + (sqrt(396) + -2*sqrt(396) + sqrt(11))**2 - sqrt(66)\/(sqrt(384)*3 + sqrt(6))).\nAnswer: 99*sqrt(11)\/5 + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118282951 plus -0.03?\nAnswer: 118282950.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*y**3 - 16 + 13 - 45*y**3 + 20*y**3 - y**2 + 3*y**4 + 138*y to p*y**4 + c*y + j*y**3 + r*y**2 + z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c**(4\/7))*c*c*c*c**(1\/2))\/(c**(-2\/13)*c**(1\/9)))**(1\/2) assuming c is positive.\nAnswer: c**(4867\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 3*q + 4. Let r be w(-5). Let h be 20\/12 - (-6)\/18. Sort h, r, -2, -5 in ascending order.\nAnswer: r, -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1060 = -4*k - 268. Let o = -49 + k. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, e: 7}. What is prob of picking 4 e?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1670*u**2 + 1561*u + 114. Is g(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-768)\/(-30))\/((-8)\/(-20)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 3*r**6\/10 + 89*r**5\/60 + 3*r**4\/2 + 2*r**3\/3 + 37*r**2. What is k in t(k) = 0?\nAnswer: -2, -1\/4, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 4. Let b(x) = 2*x - 1. Let v(n) = 4*b(n) - w(n). Let f(y) = -6*y**2 + 2*y**2 + y**2. Calculate v(f(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3419 = 257*o - 693 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 4*n**2 - 3*n - 4. Suppose 20 = -4*d, -3*h - 4*d - 212 = 36. Let j = h - -72. Determine y(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:50 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -52. Let c be (-12)\/(-10)*20\/6. Suppose i*v = 5*m + 25, 4*v + 16 = 8*v + c*m. Solve 4*o + 40 = -v*x, -x + 0*o - 14 = 2*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1878.5 - 1879. What is the third biggest value in v, -0.1, 0.2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6796000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 394397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-200)\/(-6))\/((-3)\/261). What is p rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 26 = 14*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 50?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-4))\/((-1)\/(-1)). Calculate the common denominator of 127\/12 and ((-6)\/w)\/(36\/(-28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -654 - 652 - 53*v**3 + 1306.\nAnswer: -53*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -3*j**7\/14 - 13*j**4\/6 - 28*j. What is the third derivative of f(t) wrt t?\nAnswer: -540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = r - 67*v + 13, 2*r - 4019*v = -4023*v + 68 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide -9 + 3 - -426*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130\/43 + 4705\/774. Calculate the common denominator of d and 19\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 326 = 98. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 + 312. Let a = j - 132. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.941463 kilometers to meters.\nAnswer: 1941.463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 794974236 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13695952399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtq when three letters picked without replacement from ptpqppttdd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -6*y - 4. Solve -3*b = -5*c, -y*b + 0*b = 2*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)*m)\/m)**(-3\/16)*m*m**(-1\/3)*m*m**(-6) assuming m is positive.\nAnswer: m**(-205\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 0, -11, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1651?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122156 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.05, -0.15, 6\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -28. Suppose 2*n = n. Suppose m - 2 = n, m = -f + 3*m + h. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (6 - 2))\/(1\/(-1)). Let q be v*(0 + 0 + (-180)\/9). Calculate the greatest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/5*(-12)\/(-144)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Let c = 40 - 198\/5. Let l = 88.5 + -88. What is the nearest to 5 in x, l, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -6\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 14. Is 0.1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 4*g. Let r be x(3). What is the units digit of (-61)\/(-4) - r\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89605, -50, 4\/3, 3 in decreasing order.\nAnswer: 89605, 3, 4\/3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4110.668m to millimeters.\nAnswer: 4110668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 193911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23034 - -23038. Solve 0 = -k, n + 0*n = k + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1225d4 - -207?\nAnswer: 1227db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 4, v: 5}. What is prob of picking 3 v and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 7:55 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 3*b - 12. Which is smaller: -5 or b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y**3 + y**2 + y + 2. Give z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804680398?\nAnswer: 2, 251, 1602949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dboa when four letters picked without replacement from {d: 2, a: 2, u: 1, o: 5, b: 1, p: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7829 or -7826?\nAnswer: -7829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -43. Suppose w = -4*w + f + 206, 0 = 3*f - 12. What is the smallest common multiple of c and w?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11314520 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -4) + (64 - (-32 + 97)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 437128800 rounded to the nearest 1000000?\nAnswer: 437000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*r**2 - k*r*y + 70*k*r - 15*k + 24*r**2*y - 6*r*y - 35*y wrt k?\nAnswer: -2*r**2 - r*y + 70*r - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -4*q + 232518, -q - 65 = -59. List the prime factors of l.\nAnswer: 3, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 701447 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 16.5. Which is bigger: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, l: 3, n: 2, o: 1, h: 4}. Give prob of sequence leo.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 34 + 194. Let v = w - -54. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105407215879.9 - 0.27?\nAnswer: -105407215880.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -1?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -9. Suppose w = o*w - 4995. Suppose -3*h = 9, -d + 4*h + w = 2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/23 or 2935874\/39?\nAnswer: 2935874\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose -4*d = -5*r - 20, -8*d = -3*d + 5*r - 25. Suppose d*c - 27 = 2*c. Calculate the highest common divisor of c and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19419854 rounded to the nearest one hundred thousand?\nAnswer: -19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96.76 - 97. Let p = -54.46 + 55. Let r = y + p. What is the second biggest value in r, 2, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -433*q + 27. Let x be o(-20). Is (x\/5 - 4) + (-2)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-28))\/((-281)\/3934)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 26\/5*d**2 + 0 + 1\/5*d**3 + 169\/5*d = 0. Calculate d.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*p - 146, -p + 3*z - 150 = -4*p. Is p - 3\/2*-2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 16 - 12 = 0. Suppose r - 46 = -6*i. Suppose -436 = i*y - 2585. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26888 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/90537 - 1314325685\/724296. Let m = 1811 + a. Find the common denominator of 42\/11 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 850, 1715, 2590, 3475, 4370, 5275, 6190?\n\"Answer: 5*t**2 + 850*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1, -0.4, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by (-20)\/90 - (-1632)\/54?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 6019110.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*o + 2*k**2 - 46*k*o + 369*k - 2*o + 211878 with respect to k.\nAnswer: -4*k*o + 4*k - 46*o + 369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319 or 842?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*g = 58, -3*g - 582 = -5*c + g - 628 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 67. What is the remainder when w is divided by (-1560)\/(-78)*-4*3\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 21*d + 80 = 0. Suppose -2*p + 18 = -d. Suppose 0 = 5*q + 3*c - 32, 4*q - q - 4 = 2*c. Calculate the remainder when p is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30886\/3 at least 10296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59246*x = -59257*x + 143 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1540 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1938311\/126 + 15385. Let z = 104113\/63 + f. Let r = z - 1661. Calculate the common denominator of -9\/2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249321242 to the power of 1\/2, to the nearest integer?\nAnswer: 15790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -38.77. Let t = 9225687 + -9225687.7699969. Let n = t - o. Round n to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -265 + 125. Let q be 10\/(-4)*g\/25. Let o = q + 0. Solve w - 6 = -5*d, -4*w - 2*d - o = -d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010169153472 to seven decimal places.\nAnswer: 0.0001017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:31 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69867201.\nAnswer: 3, 23289067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -1756 + 700. Suppose 2*l + 2*a - 174 = 0, l - 4*l + z = 2*a. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2478)\/(-9))\/(-7) + 0. Let i = s - -40. Let o(j) = -25*j + 78. Let y be o(3). Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*g = 4, 0 = l - 2*g - 2*g + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -43*r - 344. Let i(y) = 1. Let a(m) = 3*c(m) + 1032*i(m). Let q(u) = -2*u. What is a(q(x))?\nAnswer: 258*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 - 6) - (-11 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2671 (base 11) to base 9\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7261074 seconds in days?\nAnswer: 0.0001125706875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f. Suppose 9*y + 3 = 6*y. Let a(u) = u**2 + u. What is y*z(l) - 2*a(l)?\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(4) + sqrt(4)*-3 + sqrt(4)) + -1 + -5 + (-1*sqrt(91)*-1 + sqrt(91) + sqrt(91))\/(sqrt(7) + (sqrt(56) - sqrt(280)\/sqrt(5))\/sqrt(8)))**2.\nAnswer: -24*sqrt(13) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3155 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 361541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 3, -619.\nAnswer: -619, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7612\/33)\/((-1)\/(-3)). Let v = g - 337. Suppose 0*h + 5*h - v = 0. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 2*p + 16*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (0 + -24)) + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/15 and -76\/26037?\nAnswer: 130185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q - 1. Let s(z) = 6*z**3 - 4*z**2 - 2*z + 2. Let p(d) = 2*m(d) - s(d). Factor p(u).\nAnswer: -4*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - 52. Let z = v + -61. Let d be (-21)\/6 - (0\/4 + -4). Which is the nearest to d? (a) z (b) -2\/17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33913290?\nAnswer: 2, 3, 5, 19, 59497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436332165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26*3\/3354)\/((-3)\/24*4).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161 and 0.106.\nAnswer: -17.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m**2 + 4*m - 2. Let f be j(2). Let l(k) = 7*k - 7*k**f + 6 + k**3 - 1 - 4. What is the units digit of l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 111, -4, -1, 2, 4, -3 in decreasing order.\nAnswer: 111, 39, 4, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591*y**2 + 591*y**2 - 370*y**3 + 32*y**3.\nAnswer: -338*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 1. Suppose a + 4*m - 14 = -2*a, 0 = 4*a - 5*m + 2. Let f = -4 + 6. Suppose -2*o - a = f. Calculate b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 429*r - 427*r + 39, 2*a - r + 33 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 19 = j. Let i(q) = 10*q**2 - 14*q + 8. Let y be i(1). Suppose j*p = y*p + 220. Calculate the remainder when 39 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00992268037 to 6 dps.\nAnswer: 0.009923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1836)*2)\/(-1*(sqrt(3) + sqrt(6)\/sqrt(2)))*-2 + 4)**2.\nAnswer: 288*sqrt(17) + 22048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -684 - -675. Let z be 8*k\/((-72)\/5). Suppose 0*m - 32 = -2*m. Solve -z*d - 27 = -3*y, 12 = -4*d + 4*y - m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -2*d**4 - 13*d**2 - 1472*d**3 + 1472*d**3. Let j(c) = -c**2. Give j(r(s)).\nAnswer: -2304*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7899 - 7897. Let b(g) = g. Let z(k) = -4*k - 1. What is l*z(y) + 11*b(y)?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 70*f**3 - 31*f. Let w(b) = 8*b**3 + 9*b**3 + 6*b**3 - 10*b. Let g(q) = 2*d(q) - 7*w(q). Find the second derivative of g(s) wrt s.\nAnswer: -126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2010 - 2010. Let w(x) be the first derivative of 2 + 0*x**3 + d*x + 0*x**4 - 9\/5*x**5 - 11\/2*x**2. What is the second derivative of w(j) wrt j?\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -211 (b) 2\/13 (c) 5\/84 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.425 + 0.067. Let u = b - 2.111. Round u to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -219920423*c*n - 286821503*n with respect to c.\nAnswer: -219920423*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 + 4*v - 1. Suppose -15 = w + 5*l, w - 2*w + 3*l + 25 = 0. Let n be (-2)\/(w\/(-6) + 1). What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*y - 16, 2*y - 20 = 6*y. Suppose -h + 0*h - 2*j = 0, 5*j + 1 = -i*h. Sort h, -1, 5 in descending order.\nAnswer: 5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 11) to base 2.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**2\/7 - 26398992*k\/7 - 58075564884672\/7 = 0.\nAnswer: -4399832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 6*z + 10. Let u be s(-6). Let c = u + 31. Solve -4*f - c*k = 20, 0*f - 5*k - 20 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 11*d + 27. Let h be q(8). Suppose 25 = h*f - 125. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrcrrrcrcccuccrrcc. What is prob of sequence ur?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -308 - -132361?\nAnswer: 132052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-6*sqrt(5)*-1 - (2*sqrt(245) - sqrt(245))**2) - (-3*-1*(sqrt(5) + -1)*-1)**2)*-1.\nAnswer: -24*sqrt(5) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 - 1.9. Let s = 17979 - 17981. Which is the closest to n? (a) -0.052 (b) -3 (c) s (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.063423cm in kilometers?\nAnswer: 0.00002063423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**2 + 1720*w - 42. Let t(j) = j**2 - j - 7. Calculate 6*t(p) - x(p).\nAnswer: -2*p**2 - 1726*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1197471334+-1619\nAnswer: 1197469715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60500547 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 15440\/579 + (-2)\/(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15\/5*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 0, w - p + 3109 = -3*p. Suppose -4*m - m = 10680. Let z = m - w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4 + 5 - 2 + 2*v - 5. Let k(q) = 71*q + 10016. Let p be k(-141). Let l(m) = -5*m - 3. Determine p*d(z) + 3*l(z).\nAnswer: -5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.72 - -1.66088. Let k = v - -0.055. What is k rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 4*n = -12*i - 24, -5*n + 15 = 0. Solve -12*a = -i - 60 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5754.01 rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8998519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110 (base 3) in base 2?\nAnswer: -101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 2*z**2 + 1\/6*z**4 + 5\/6*z**3 - 3*z + 0. Let q(k) = -2*k**2 - 4*k - 3. Give -4*o(m) - 5*q(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4151?\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*w + 4*w - 14 = 0, 4*w - 4 = 0. Suppose 2*s = -11 + g, -2*h + s + 12 = 0. Suppose h*c + 4*k = 112, 4*k - 16 = -0*k. Round c to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00804035 to four dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 + 1111 = 15*b. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ab956 (base 16) to base 6.\nAnswer: 140002434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*o + 16, 0 = -o - 4*o + 4*n - 6. Let f = 2 + o. Let l = -5 + f. Which is the closest to l? (a) 5 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -24*w**2. Let h(i) be the first derivative of -i + 215. Let j(g) = g + 2. Let l(m) = -2*h(m) - j(m). Calculate l(x(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/((-4)\/12). Let o be (-1 + 3)\/p + 516. What is the derivative of 8 + 5*q**3 - o*q + 518*q wrt q?\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 49. Let f(x) = 838*x**2 - 2*x - 13. Let y be f(i). Suppose 4*r = w - 1507, -5*w + r + r + y = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5, 0.06, -1.\nAnswer: -1, 0.06, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 530939.1 weeks in nanoseconds?\nAnswer: 321111967680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9) + (-32868)\/(-81). Suppose 4*l = -38 + i. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(85)\/sqrt(5))**2 - (sqrt(17)*-5 + 3) - (((sqrt(187) - 6*-2*sqrt(187)) + sqrt(187))\/(2*sqrt(539)))**2.\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -9, -15, -3, 39, 123, 261, 465?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y - 67 = 3*f, -3*y + 197 = -5*f. Let l be (80\/y)\/(1\/4). Suppose 355 = 3*r + l*d - 3*d, 4 = 2*d. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 6937957.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12119 + -24229\/2. Solve 21\/2*z - d*z**3 - 18*z**2 + 3*z**4 + 9 = 0 for z.\nAnswer: -2, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*j*o**4 + 12*j*o + j - 984*o**4 - 1428*o wrt o?\nAnswer: 1368*j*o**2 - 11808*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-12)*1*-3. Suppose 2*z + t*g - 10 = -3*z, -5*z - 2*g = -13. What is the smallest value in z, -5\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -690, -689, -688, -687, -686, -685?\n\"Answer: x - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let s = 715 - 712. Solve w + s = v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*x = 159, 44*j - x = 49*j - 858. Are 171 and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 112 in -2\/5, -2\/9, 4\/15, -3, 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i + 48*i - 29 = -4*j, 0 = -5*j - 20. Calculate the greatest common factor of 8595 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -4621, -15749, -37423, -73159?\nAnswer: -126473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*633.\nAnswer: -7596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905326*y + 6*y**2 - 905326*y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(4*t**2 - 4*t**2 + 3*t**3) + 0*t**3 + t**2 - 2*t**2 + t**3 as l*t + m*t**2 + n + y*t**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10))\/(-5*48\/200)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -2 (c) 0.4 (d) 8 (e) -5\/2 (f) -2\/25 (g) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*g - 18 = 248*g. Suppose 4*u + g*b = 3560, 17*b - 22*b = -20. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11154 and 14388.\nAnswer: 2431572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -19. Sort -4, z, 19 in descending order.\nAnswer: 19, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -203, -237, -301, -401, -543, -733, -977?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}