diff --git "a/data/dm_maths/full_data_1/10547_11255.jsonl" "b/data/dm_maths/full_data_1/10547_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10547_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d be 3\/1 - (-10)\/2. Solve -3*w = -0*w - 4*h - 22, 0 = 4*w + 4*h + d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/3, 0.09, 4640?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21622984 and 50576.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889 > 1379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 426.4575 weeks?\nAnswer: 257921496000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let o(p) = -2*p + 35. Determine o(u) - t(u).\nAnswer: -u + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 789*h - 37110 - 9441 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 3*y + 7. Let q be 0 - 5 - 1\/1. Let g(l) = -7 + 3 - 3 + 4*l - 5*l**2 - l**3. Let h be g(q). What is t(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 = 3*m + 6*z, 5*z = 20. Suppose -23 = 4*k - 3. Put m, 9, k in increasing order.\nAnswer: k, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26810.252821 + -27006.2529. Let r = n + 196. Round r to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -18640 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -44*q - 2725. Give f(-68).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 - (18 - (-690)\/(-23)). Let y(w) be the third derivative of -q*w**2 + 0*w + 0 + 1\/30*w**5 - 1\/12*w**4 + 0*w**3. Let y(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -168, -131, -76, -9, 64, 137?\n\"Answer: -x**3 + 15*x**2 - x - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 17 = -2*k + 2*l, -5*l + 55 = 5*k. Let h be 3*-6*k\/(-30). Suppose 2*j = -2*y - j + 11, -3 = -3*j. Solve y*f - 6 = h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151\/5019 - 106\/182?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - 165. Sort -4, 3, t in decreasing order.\nAnswer: 3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2151057 (base 9) to base 16\nAnswer: 11a1bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 95 = -8*z - 4*u, z + 2*u = 5. Let f(y) = 20*y - 297. Determine f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y = k + 108, -3*k = -y + 16. Suppose 0 = 7*t + 8 - y. Which is the biggest value? (a) 0 (b) t (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -29*p**4\/24 - 11*p**3\/3 - 2*p**2 - 236. Give c(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**5\/20 - 7*x**4\/12 - 3*x**3\/2 + 11*x**2\/2 - 62*x. Let l be m(8). Solve 4*j = -l + 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 i when three letters picked without replacement from jhiibppiih?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*i**3 + 2*i**2 - 216 with respect to i.\nAnswer: 306*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c**2 - 4*c**2)*((-7*c**2 - 2*c**2 - 2*c**2)*(5*c + 0*c + 2*c) + c - c - c**3 + c**3 + 3 - 3 + (-5*c**2 - 2*c**2 + 5*c**2)*(c + 1 - 1)).\nAnswer: 158*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7015 and 1035?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 163780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1296517*k**3 - 2592933*k**3 + 1296418*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4 - 4*c + 6*c + 0*c + 9*c. Is m(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32328347 or 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/16711 and 18\/11?\nAnswer: 183821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1276 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 + 4*x**2 - 3*x + 2. Let f be i(2). What is the smallest common multiple of -1*(f\/2 + 2) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, i: 18}. Give prob of sequence ioi.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.163 + 0.054. What is j rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/328 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/18700 and 33\/238?\nAnswer: 130900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -920 >= 0.09073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13649650 divided by 389990?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/9*-33 + 6. What is the second derivative of 26*g**2 - 8 + 24*g**2 + 80*g**4 + 12*g - s*g**2 + 85*g**4 wrt g?\nAnswer: 1980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((2 - -2)\/4). Let p = 8 + i. Is 6 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -40*m + 22. What is the hundreds digit of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 + 1243\/7. What is the closest to -1 in 2, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8713790 + -0.0223.\nAnswer: -8713790.0223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026366 to seven decimal places.\nAnswer: 0.0000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1409*g + 1408*g + 7720 = 0. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 1. Let p(t) = -4*t**3 + 20*t + 20. Let x(c) = 20*h(c) - p(c). Factor x(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 15) to base 16.\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134766.22 rounded to the nearest one hundred?\nAnswer: 134800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from {f: 1, t: 1, m: 2, u: 2, p: 4, z: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 114\/(-152)*(-2 - 2). Let t be 2 + (-12)\/(-1 - 1). Suppose 0 = 5*h - h - 20. Solve -3*r - 14 - m = -h*d, 4*d - t = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470820963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 10*x**2)*(53*x - 8*x - 29*x**2 - 25*x - 21*x - 840*x**2).\nAnswer: -8690*x**4 - 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527 a factor of 24539624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 3, 2, 1\/5, -0.8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-4*m - 4*m + 6*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -19*k. Let v(r) = -12*r**2 - 4*r - 2. Let q(i) = 48*i**2 + 18*i + 9. Let n(w) = 2*q(w) + 9*v(w). Calculate l(n(g)).\nAnswer: 228*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322233431 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205 - -233. Calculate the remainder when 71 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3932079 + -862053.79.\nAnswer: -4794132.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)*b)\/b*b*b*b**12)**(5\/8) assuming b is positive.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1777 - 1777 - 76*f**2.\nAnswer: -76*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/3 - 3*k**2 + 8*k - 6. Let d be r(4). Suppose -4*u + d*u = -456. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/m**(-2\/85)*m\/(m**(-10)\/m)*m*m**(-2\/15) assuming m is positive.\nAnswer: m**(2777\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290539 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 168001 and -3598596?\nAnswer: 3766597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.7 - 11.9. Let n = -12.1 + k. Let x be 0 + -7*1 + 0. Which is the second smallest value? (a) 2 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqycqqcgcqqcacycccq. Give prob of picking 1 g, 1 c, and 1 a.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9188, 838, -7512, -15862?\n\"Answer: -8350*d + 17538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6749*u - 27 = -6746*u + a, -8*u - 4*a = a + 79 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:33 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/14 - -10) + (2 - 68\/12)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 50.5. Let u = n - 17.5. Which is bigger: u or 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/9 (b) 33 (c) -2\/7 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126875 and 2334500.\nAnswer: 11672500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = -3*k. Let w = k + 4. What is the closest to -0.1 in -4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1371832 + 20\nAnswer: 1371852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**3 - z**2 + 3*z + 9. Calculate the lowest common multiple of t(2) and -2 - 0 - 6\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -4316.\nAnswer: 37\/4316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 - 68585*h + 16251750 = 0. What is h?\nAnswer: -13950, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001607229852 rounded to 7 decimal places?\nAnswer: -0.0001607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 705*p + 797*p - 55574 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 297\/(-462)*(-42)\/144*-4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let z(h) = -2*h**2 - 3*h. Let k(y) = -4*v(y) - z(y). Is k(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 43 = -16*s - 5*x, -70 = -5*s + 5*x. Put -3, s, -9 in ascending order.\nAnswer: -9, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14736, 14737, 14738, 14739, 14740?\nAnswer: 14741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.92 + -2.12. Let m = -1.2 + 1. Let r = m - -0.1. Sort r, i, -3 in decreasing order.\nAnswer: r, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c + 8. Let k be w(2). Let a be k\/2 - -13 - 6. Solve -5*s - 50 = 5*o, 2*o + 0*o = -a*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 2. Let c(h) = -6*h - 6. Let r = 760 - 348. Let j = 420 - r. Calculate j*o(u) - 3*c(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*l - 5006 + 3782. What is the lowest common multiple of 4698 and l?\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6*3)\/(-13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101, 71, 67, 101, 185, 331?\n\"Answer: 2*a**3 + a**2 - 47*a + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14761246 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 555, 634, 733, 852, 991?\n\"Answer: 10*u**2 + 49*u + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158911?\nAnswer: 367, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 0*g + 17 + g + g. Let b be h(-10). Suppose -2*a + 1111 = b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 959, 3855, 8685, 15449?\n\"Answer: 967*t**2 - 5*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*r + 59*r - 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261111*i*z**3 + 6*i*z - 1851017*z**3 with respect to i.\nAnswer: -261111*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/10 - u**4\/3 + 2*u**2 + 47*u. Let p(c) = -2*c**3 + 3*c**2 - 3. Calculate -4*p(v) - 3*s(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let f = 0.2881 + 0.0119. Sort d, f, 2\/7.\nAnswer: 2\/7, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*((-80)\/36 + (-12)\/(-54)). What is the greatest common divisor of 95 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -8, -5, -4.5396?\nAnswer: -4.5396","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -9 - (39 - 30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 577 + 83. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003313 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 5*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*g + 4 = 133*g + 3*a, -12 = 3*g + a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5994, 4215, 1250, -2901?\nAnswer: -8238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 48. Calculate the highest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 502, -1206, -2916, -4628, -6342?\nAnswer: -8058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-84))\/((-3)\/(-21)). Solve -5*h = -2*h + 15, p*s - 5*h = 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1281*y + 8291. Calculate h(10).\nAnswer: -4519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94881155 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84768987 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -23*f**4\/4 - 5*f**3\/2 + 3*f**2 - 6290*f. Let c(m) = 10*m**2 + 2*m - 1. Give 15*c(j) + 2*l(j).\nAnswer: 12*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34398373\/14 - -2462093. Let x = p + -5058. Let n = -1449\/5 - -37769\/130. What is the common denominator of x and n?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 814193\/150 - 5428. What is the common denominator of -7\/1200 and g?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -9714907.\nAnswer: -9714911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 613713 and 63.\nAnswer: 12887973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 827, 3089, 6861, 12143, 18935?\nAnswer: 27237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040943063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(2\/5)\/h)\/h)**(-1\/11)\/(h**(-1\/10)*h**(3\/4)))**(1\/20))**(-18) assuming h is positive.\nAnswer: h**(999\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/160 - j**4\/64 + 15*j**3\/8 - 169*j**2. Solve x(u) = 0 for u.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.027, 0, -35, -0.5?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-18)\/(-24))\/((-2)\/16*-2) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10652 times 0.5\nAnswer: 5326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360 + 739 + 147*g**3 + 9*g**2 + 3*g - 379 + 4*g**4 wrt g.\nAnswer: 96*g + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - v, 0 = 2*y - 4*v - 11 + 23. Suppose l = -4*z - y*l + 15, 5*z = -3*l + 22. Solve -5*g = -j - 19, g + 0 + z = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/(m*m\/(m\/m**(-1\/2))*m))\/m*m\/(m*m*((m\/(m\/m**7))\/m)\/m*m*m*m)*((m\/(m\/(m\/(m**4*m*m))))\/m)**50 assuming m is positive.\nAnswer: m**(-619\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/6 + 2*p. Let s(h) = -h**2 + h**2 + 0*h**2 - h**2. What is z(s(d))?\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 890881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -88668 > -88663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 0 - (-1 + (-3 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2558, -2559, -2560, -2561?\n\"Answer: -h - 2557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - sqrt(65)*-2)*-3 - sqrt(65)) + sqrt(65))\/(sqrt(5) - (1*sqrt(125) + sqrt(5))).\nAnswer: 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 38*k - 228. Determine d(-7).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/36154650 and -157\/10329900.\nAnswer: 72309300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -18*b + 1. Let z(u) = -8*u - 1. Determine -5*l(t) + 11*z(t).\nAnswer: 2*t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -16026*q - 2371844. Give b(-148).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q*u**3*x**2 - 1809363*q*u**2 + 280*u**3 + 3*u**2*x**2 - 144*u wrt q?\nAnswer: 2*u**3*x**2 - 1809363*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -76, 22, -0.366, -2\/15, -1\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y + 6. Suppose -2*u + 10 = 3*b, 0 = -u + b + 7 + 8. Let p = 1 - 7. Let m(o) = -13*o + 11. Determine p*m(f) + u*l(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 524*d**2 + 6748*d - 22932.\nAnswer: 4*(d - 117)*(d - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3934 - -0.081?\nAnswer: -3933.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -123 less than -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2070 and 13662?\nAnswer: 68310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 88, 256, 570, 1078, 1828?\nAnswer: 2868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.91968 micrograms?\nAnswer: 0.00000000000491968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5718 + -5720. Sort -7, 2, 9, m in descending order.\nAnswer: 9, 2, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 217, 379, -0.0378?\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11631.817721 rounded to the nearest integer?\nAnswer: -11632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68817300 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -65. Let j = a + 10. What is the nearest to j in -0.1, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554370038.\nAnswer: 2, 3, 13, 23, 337, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 a when four letters picked without replacement from gnganneeeeegeeeaa.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*p - 2*p + 805, 5 = -5*p. Let u = -116 - w. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -844 - 4274. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-1 + 62 - (-22 + -27 + 58))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 723421.\nAnswer: -2\/723421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(252) - 2*sqrt(252))*-2 + sqrt(252) - (-1*-1*sqrt(252) - -1*(sqrt(252) + 1 + sqrt(252) + sqrt(252)))) + -4)**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:03 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39254.165 from -0.1.\nAnswer: 39254.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -9 + 30 + 15 + 1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14407 - -30722. Is h a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 10 = 5*v - p, 2*p = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x + 2. What is f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/36)\/((33\/44)\/(-3)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 21 = 34. Let r(c) be the first derivative of -7*c**2 + 14*c + 3. Let h(j) = -5*j + 5. Calculate z*h(o) + 4*r(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6845, 5, 0.19, -2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3633 + -14505\/4. Let d = -75671\/12872 + 6\/1609. What is the common denominator of d and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26161 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -41, -38, -23, 10, 67?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3208 to 2 dps.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 12:37 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -130 (b) -1 (c) 3 (d) -3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u, -10*u = 3*t - 6957. List the prime factors of t.\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 906439, 1812872, 2719303, 3625738, 4532183?\nAnswer: 5438644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.524067799 rounded to 4 decimal places?\nAnswer: 2.5241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1872655843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - i**4 + (-3*i**2 + i**2 + 3*i**2)*(-2*i**2 - 1 + 1) + 40*i**3 - 14*i**4 - 40*i**3 + (3*i - 3*i + 2*i**2)*(0*i**2 - i**2 + 0*i**2).\nAnswer: -19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29904 and 2032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 - 5*n**2 - n + 4. Give x(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 17*u**2 + 111*u + 57. What is f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-7)\/((-7)\/18). Let r = a + -6. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -7 + (-49 - (-44 + -10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f = -8. Suppose -s + 21 = -v + 2*v, -s - 59 = -f*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -393*g**4 + 4389*g**2 + 3029*g + 2436 wrt g.\nAnswer: -4716*g**2 + 8778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from txttgtxtxttttte.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1748 and 874?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 55*x**4\/24 + 26*x**3\/3 - 2*x**2. Let z(y) = 2*y**2 + 43*y - 3. Let u be z(-22). Is i(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -680\/13? (a) -5 (b) -1\/6 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.43 and -22017.61?\nAnswer: 22018.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 22*x**5\/5 + 37218*x**4\/5 + 3256812*x**3 + 459553284*x**2\/5 + 658346454*x - 186451470 = 0.\nAnswer: -831, -15, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1826358100 divided by 4\nAnswer: -456589525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/9 + 16*d**4\/9 - 10*d**3\/9 - 376*d**2\/9 - 992*d\/9 - 640\/9.\nAnswer: 2*(d - 5)*(d + 1)*(d + 4)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 6) to base 10\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145389 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5\/4 + 13523*j**4\/2 + 703963*j**3\/4 - 615859*j**2 - 785088*j = 0.\nAnswer: -29, -1, 0, 4, 27072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = -43 - 245. Let s(y) be the second derivative of y**4\/12 - 7*y**3\/6 + 5*y**2 - 4*y. What is s(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6820 and 87\/8?\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1283546*l**3 - 5903596*l.\nAnswer: 7701276*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 225621 = 219109. What is the highest common divisor of 481 and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546.7234 nanograms in grams?\nAnswer: 0.0000005467234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*p + 183*p + 2*p**2 - 91*p.\nAnswer: 2*p**2 - 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/((y**11*y)\/y))\/y)**(1\/15))**(-1\/26))**36 assuming y is positive.\nAnswer: y**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + sqrt(57)\/sqrt(3).\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 7*j = -1162. List the prime factors of j.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2839600 and 2864?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4742568 is divided by 1392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pussuuunn. What is prob of picking 2 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqoq. What is prob of picking 3 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 75. Let w = -20 + b. Solve -3*i = 5*h - w, 2*h = 4*i - 2*i + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 3)*5 + -2. Let d(j) = 2*j**2 + p*j**3 + 2*j + 0*j**2 - 3 + j - 4*j**2. Is d(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 1, o: 3}. Give prob of picking 2 h and 1 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*v + 9. Solve v*i = 5*i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-7)\/f*f)\/((f*f\/f**(-16))\/f))\/(f**4)**(-19))**(-1\/30) assuming f is positive.\nAnswer: f**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6662435 and 1040.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m + 43 = 153 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -26. What is the lowest common multiple of 16 and d?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*d + 3*d. Let f = 2 + 3. Solve -f*b = 4*q + d, -5*b + q - 5 = 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137\/3 + 45. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 9*j + 18. Let x = 4695 + -4686. What is y(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23938525 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 + 3 - 9) + -10 + (-131 - 3)\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 42*(-28)\/294.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8541962 and 0.8.\nAnswer: 6833569.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**2 - 6*q - 6. What are the prime factors of f(-3)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*b - 1243*b - 12119*b.\nAnswer: -14057*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1640, 3375, 5186, 7109, 9180, 11435, 13910, 16641?\n\"Answer: 6*k**3 + 2*k**2 + 1687*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -127*w. Suppose -2*q - 7 + 3 = 0. Let p be x(q). Is 14 a factor of 2\/(-9) + p\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-28)*2\/(-5). Let u = 1.85 + -2. Let i = -0.25 + u. Which is the nearest to y? (a) 2\/9 (b) 2\/23 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e21 (base 16) in base 7?\nAnswer: -64241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdy when three letters picked without replacement from jggsyddt.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 595\/(-42) + (-1)\/(-6). Let k be (-4)\/14 - 4\/x. Solve 18 = -3*v - 3*n, -v = -k*n - n + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1 - (2693 + -2693).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1740476, -4, -19, -3, 5 in ascending order.\nAnswer: -1740476, -19, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*a - 2*a. Find the third derivative of -16*c**5 - 3*c**a + 15*c**2 + 2*c**2 + 5*c**5 wrt c.\nAnswer: -660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357607 = 6339*o - 59674 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-280)\/(-55))\/(-52*85\/(-24310)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3412680 divided by -227512?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21330 + -55?\nAnswer: -21425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 903647851 and 2116.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6*u + 10 - 10)*(-1 - 1 + 3) + 1 - u - 1)*(9*u**3 - 103*u**3 - 58*u**3) as n*u**4 + l*u**2 + s*u + o + t*u**3 and give n.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:59 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-1)*(-2)\/4. Suppose -2*s = p + 1, -4*s + 36 = -2*p + 58. Solve i = -2*m + r, p*m = -3*r + r + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-15) - (-1 + 8\/(-3)). Solve 2*y + 2*s + 8 = 0, -s - f = s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176944*a - 10 = 176945*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3 - 72*q**2 + 314*q - 240 = 0?\nAnswer: -40, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**3*y**3 - 156874*f*y**3 + 2914*y**3 - 2*y**2 - 210 with respect to f.\nAnswer: -18*f**2*y**3 - 156874*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 - 1 = -s. Suppose -4*z + 9*z = 4*v + s, -3*z + 292 = -2*v. Let x = z - 63. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/38702 or 1?\nAnswer: -15\/38702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673?\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4290 is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.53 + 2.83. Let j = x + -44.3. Let i = j - -41.9981. What is i rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 - 4848470*l\/9 + 4848464\/3.\nAnswer: 2*(l - 2424232)*(l - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -44.8. Let y = -0.45 - -0.05. Which is the closest to 1? (a) -5 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*x, 0 = -5*z + 7*x - 2*x - 400. Let a = z - -78. Let c(g) = g**2 - 2. Let j be c(a). Solve b - j - 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 - 173 - 182 + 447*b + 527.\nAnswer: 447*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 2, -2 in decreasing order.\nAnswer: 4, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 65492638 take away 28.25?\nAnswer: 65492609.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -1.4. Which is the smallest value? (a) -4 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000441459 rounded to 6 decimal places?\nAnswer: -0.000441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 53\/5 of a meter?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + k)*(-5 + 10 - 3)*(0*k + 3*k + 3*k) to the form c*k + q*k**2 + d and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002106033 to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 9*i + 14. Let d be g(-7). Is d at least -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221416 divided by 617.\nAnswer: -221416\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 388*m**2 - 1928*m + 1484. Determine k(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 29)\/(-5)*16\/6. Which is the third biggest value? (a) -4 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:49 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4485.\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + x = -6, 0*b + 2*x = 4*b - 8. Put 4, b, -6 in increasing order.\nAnswer: -6, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -31. Let t = z + -5. Solve 4*v + v = -2*l, -5*v = t*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*a**6 + 727936*a**3 + a**2 - 155942217*a.\nAnswer: 13560*a**3 + 4367616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -792100 rounded to the nearest ten thousand?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 84*d**2 - 483*d + 396.\nAnswer: 3*(d - 4)*(d - 1)*(d + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81515, -80439, -79363, -78287, -77211?\nAnswer: -76135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6663 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*z - 60 + 16, -3*z = 4*o - 20. Calculate the least common multiple of z and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 + f + 3. Let i(t) = -t**2 - 1. Let k(s) = 3*i(s) + v(s). Let x(y) = y**3 - y**2 - y. Determine -3*k(a) - 3*x(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmmtftntitmnitmtttf. What is prob of sequence mnn?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 6*w + 3. Let f be g(-4). Suppose -f*a + 3122 = -9*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 28. Let g be 1\/(-2 - (-14)\/6). Suppose i*z - 5*y = 32, g*z - 5 = -2*y - 4. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/9383374 and -1\/2680964.\nAnswer: 18766748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 51 = -31. Solve 5*l + 5 = 5*r, 5 - 15 = -2*l - h*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*p + 2*o + 87, 0 = -p - 4*o - 1. Is 2\/5 - (11 - 5094\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 358 + -5?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 3, t: 3, p: 1, h: 2, s: 1}. What is prob of picking 2 h and 1 p?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 2 = 17*i + 2*s, -4*i + 519*s = 2571 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 at most as big as 17462616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2843*w = -2857*w + 153510. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1378 - 29190*j + 1378 - 43720*j + 3906*j.\nAnswer: -69004*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -50*u**2 - 119*u - 91. What is g(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110 + -54. Let v be -5 + g - (0 - -2). Let z = v - 49. Solve 5*a = -z*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38350, 76763, 115324, 154039, 192914?\n\"Answer: i**3 + 68*i**2 + 38202*i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*v - 14, -5*o + 2*v = -o - 2. What is the derivative of -3 + 6 - 390*k**o + 412*k**2 wrt k?\nAnswer: 44*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160736567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/3942 and -143\/5256.\nAnswer: 15768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/7)\/(828\/420 + -2). Let p = d - -2702\/9. Let f = 68.66 - -0.34. What is the second biggest value in f, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -14654?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2. Let o(v) = 2915*v + 2. Give o(p(n)).\nAnswer: -2915*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 16 = 3*t. Let k(w) be the third derivative of -w**4\/8 + w**3\/6 - 3*w**2. Let c(g) = -4*g + 1. Let j(h) = 6*c(h) - 5*k(h). Calculate j(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/2*(-178)\/(-356)*(-1)\/(-2).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53492 = 1686*p - 208604 for p.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -787, -27, -2, 2.\nAnswer: -787, -27, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4914 = -186*t + 200*t. What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 409\/8 + -51. Let m = -3.74 - -4.14. Let t = -4.0693 - -0.0693. Which is the fourth smallest value? (a) 0.5 (b) f (c) t (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 5*n**7\/42 - n**6\/3 + 5*n**4\/6 - 5*n**3\/6 + 12*n + 9. Let j(g) be the first derivative of p(g). Factor j(w).\nAnswer: 5*w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 6, 149, 0.2, -2\/59 in descending order.\nAnswer: 149, 6, 0.5, 0.2, -2\/59, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*o - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:56 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 913 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9172 = -7*d + 15613 + 19116. List the prime factors of d.\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (13 + -19)) + -19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**33\/(b*b*b*b**(-23\/3)))**2 assuming b is positive.\nAnswer: b**(226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -229*m + 66.\nAnswer: -229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172937732 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 77. Suppose -4*k - 5 - 7 = 0. Is l\/3 - 206\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t + 0*t**3 + 0 + 7\/3*t**2 - 1\/3*t**4.\nAnswer: -t*(t - 3)*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41726, 83446, 125178, 166922, 208678, 250446?\n\"Answer: 6*w**2 + 41702*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 + 15*l + 30. Let h(x) = -x + 5. Let n(q) = 2*q - 11. Let s(c) = -9*h(c) - 4*n(c). Let r(t) = -k(t) - 9*s(t). Find u such that r(u) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 108, 212, 304, 384, 452?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28650?\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -131, -0.3, 67\/51?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369534*v**2 + 203019*v**2 - 74306*v**2.\nAnswer: 498247*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6865, 27, -26 in descending order.\nAnswer: 27, -26, -6865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/2 + 16*v**3\/3 - 20*v**2 + 32*v + 68. Let o(i) = 0. What is i?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1265 and 29555?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23320 - -111?\nAnswer: -23203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4756 - 4766. Which is the nearest to 0? (a) 0 (b) s (c) 2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 4:50 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 9 (c) -2737 (d) 1 (e) 0.2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - q - 11*q + 0 + 2 + 56*q**3 + 6*q to g*q**2 + c*q**3 + o + z*q and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57459228, 114918450, 172377672, 229836894, 287296116, 344755338?\n\"Answer: 57459222*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260 and 208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*i = 15, 11*w - 8*w = i - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902617977.\nAnswer: 13, 8941, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 64 = -20*i + 4*r, 16*i - 2*r = 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3878*-34.\nAnswer: 131852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 582*o + 1169*o - 590*o.\nAnswer: -3*o - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 514, 1175, 2110, 3325, 4826, 6619?\nAnswer: 8710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10*8\/(-240)*-6459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -235999.\nAnswer: 236017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 8 = -4*i, 5*i - 144*l + 76*l - 1 = -77*l - 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 27 = -5*q. Suppose 0 = -q*b + 1345 - 157. Suppose 4*c - b = 2*c + 3*m, -5*c - 2*m + 349 = 0. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61932031243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -4)*(-2 - -1). Suppose -4*t + 0 - 4 = u. What is the third smallest value in 0.3, t, -5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52\/9 in 3\/4, -779, 0.4, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 15 = -2*i. Suppose -3*o + 2*u + 3407 = 1147, 0 = 5*o + 3*u - 3754. Is 12 a factor of (-6)\/(-27) + o\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - -3032?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -312, -1\/5, 4, -0.4 in decreasing order.\nAnswer: 4, 1\/3, -1\/5, -0.4, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-9)\/(-4) + -2). Suppose 2*u + 0*c + 4*c - 22 = 0, y*u = -c + 37. Let w be (-2)\/3 - 12\/u. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186558.11 + 12284.\nAnswer: -174274.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328375 is divided by 81942.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 857 - -215. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/((-63)\/(-57678))*24\/16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -456*a**2 + 66*a**2 - 5934 + 5843. Let o(s) = -13*s**2 - 3. Suppose 0 = 3*p + 5*b - 273, 2*b = -0*b. Calculate p*o(q) - 3*u(q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 0.5 (b) -7.2 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/((-11)\/(-24)) + -4. Suppose -5*m = w, 5*d + 2*m + 178 = 505. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00590349507 rounded to six decimal places?\nAnswer: 0.005903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:58 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n + 3*n)*(42*n**3 + 18*n**3 + 44*n**3).\nAnswer: 104*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/23)*t*t*(t*t\/t**(3\/8)*t)\/t)\/(t**13)**19 assuming t is positive.\nAnswer: t**(-44789\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.2, -2\/9, -0.3, -1\/1776?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1305)\/(-10))\/29 - (0 + 3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -13\/11, 3\/2, 0.4, 1\/2 in decreasing order.\nAnswer: 3\/2, 1\/2, 0.4, -0.2, -13\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 9\/(-3) - -1. Let b = 4.44 + -8.44. What is the closest to -2\/11 in b, w, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 8:27 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 1. Let n(z) be the first derivative of 7*z**3\/3 + z**2\/2 - 4*z + 1. Let m(s) = 4*l(s) - n(s). What is the second derivative of m(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*b + 24. Let g = -3 - -4. Calculate the greatest common factor of b and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 2. Let v(a) = 4*a - 5. Let z be (4\/(-3))\/(4\/(-6)). Let s(w) = z*v(w) - 7*h(w). Calculate s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 718 + 146. Let y = x - 88. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2240800 rounded to the nearest ten thousand?\nAnswer: -2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 270427050 to the power of 1\/2, to the nearest integer?\nAnswer: 16445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 9261447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.38 - 0.38. Which is the second smallest value? (a) -1 (b) -1\/2 (c) y (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:45 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/2 < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 4*u**2 + 4*u - 10. Let b be z(4). Let p be (-2)\/(-2 + b\/4). Suppose 6*y = p*y - 30. Does -17 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.281 + 0.090486\nAnswer: -3.190514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99399 - -353894. Let g = y - 983293. Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1317636 and -101\/228?\nAnswer: 25035084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 10 - 15, 4*m = 4*l. Let w be (0 + 0)\/(1\/(-1)). Suppose -2*y + 0*y + 2*r = -52, -y + m*r + 46 = w. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12230 + -1?\nAnswer: 12227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u**2 - u + 2. Let t(m) = -m + 6. Let b be t(6). Let k be w(b). What is the highest common factor of 10 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-36))\/((-1)\/20). Let x(i) = i. Let k(q) = -q**3 + q**2 - 5*q + 1. Calculate v*x(t) + k(t).\nAnswer: -t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22340361727759 - 0.3.\nAnswer: -0.52340361727759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 133.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*q**3 - 2 + 42*q**3 - 185*q**3 + 2*q - 23*q**2 + 62*q**3 to the form k + c*q + t*q**2 + s*q**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004605 rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = 4*v + 26, -23 = -3*p + 4*v. Let r = p + -1. Let o(s) = 3*s**2 + 62*s + 271. Let f be o(-15). Solve 0 = -4*z + r - f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-114) + 131*((-35)\/2945 + 0). Sort -4, -1\/8, j.\nAnswer: -4, j, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 35007.71 decades?\nAnswer: 350.0771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*z = 6*l - 15*l + 8*l + 937, -5*z + l + 6 - 23 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4093 - 0.0907. Which is the nearest to -0.1? (a) f (b) -13\/3 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1300) - (sqrt(1300) + 3)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244701?\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/9 + 195460*p\/9 + 4775576450\/9 = 0 for p.\nAnswer: -48865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**3 - 2*x - 3. Let n(w) be the second derivative of 1\/20*w**5 + 1\/6*w**3 + 0 + 104*w + 0*w**4 + 1\/2*w**2. Determine -2*j(i) - 6*n(i).\nAnswer: 6*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*v**3 - o**3*v + 6272663*o**3 + 1150*o**2*v - 3467*o*v**3 + v**2 + 1 wrt o?\nAnswer: 12*v**3 - 6*v + 37635978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.9 - -43. Let y = u - 15. Which is the biggest value? (a) 1 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1771958.9993 - 1772093. Let n = 989 + -855. Let s = n + a. What is s rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 530 - -30 - (-3 + 2)*3. Let s = a - 533. What is the remainder when 133 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*f = 0. Let c(m) = -4*m**3 + m**2 + m. Let k be c(-1). Solve f = a + 9 - k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-45) + (-183)\/(-15). Let w be (2\/1 - -15)*(-11 + g). Let q = w + 99. Does 29 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -2\/5, -1, -2.6 in ascending order.\nAnswer: -2.6, -1, -2\/5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (70\/(-21))\/((-122)\/(-62) - 2). Let x = p - 1697\/15. Calculate the common denominator of 1\/50 and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 4. Let v be (-25)\/10*(1 + -3). Let x be q(v). Let i be 0 - x\/(1\/(-8)). What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 42. Let z be d(-12). Let p(m) = -m**3 - 7*m**2 - 10*m - 8. What is the least common multiple of 8 and p(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6309257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1*sqrt(320))*-4)**2*-3 - (sqrt(125)\/sqrt(5)*-5)\/((-2*sqrt(45))\/sqrt(9) + sqrt(5)).\nAnswer: -15408 + 763*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42729 is divided by 218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19*o - 7. Let r be l(-7). Let y = r + -27. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 14 = -40*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 111111101011101?\nAnswer: 111111101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 23345\/(-1295) - 28*3\/6?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10576)\/3966*(-6)\/(-488)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 153, 210, 305, 450, 657?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -506286318, -506286319, -506286320, -506286321?\n\"Answer: -g - 506286317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 - 123. Let i be ((w - -1) + 2)\/(8 + 1). Let y be 6\/14 + (-1)\/(-14). Sort 3, y, 2, i in descending order.\nAnswer: 3, 2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2640402*k**3\/7 + 506975568*k**2\/7 - 3529760*k\/7 + 6144\/7.\nAnswer: -2*(k - 192)*(1149*k - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7953140583?\nAnswer: 3, 17, 23, 29, 77933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - 2*l**5 + 2*l**5 + 2*l**3 - 2*l**3 - 2*l**5 + (3*l**3 + 2*l**3 - 6*l**3)*(0 + 0 + l**2) + (-2*l**2 - l + 0 + 0)*(0*l**2 + 0*l**2 - 3*l**3).\nAnswer: 5*l**5 + 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 2*t**2 + 26 + 193 - 66 - 72 - 81.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523526837.\nAnswer: 20183, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -7*v**2\/2 - 1. Suppose -2*i - 8 = -12. Let r(d) = -8*d**i - 5*d**2 + 12*d**2. What is r(a(y))?\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 607 + -604. Solve -5*y + j*y = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/449, -38, 208?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 628 = 268. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - q - 4 + 11*q - 4*q + 4*q + (8 + 8 - 2)*(19*q - 15*q - 17*q).\nAnswer: -172*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(3\/7)*(-2060)\/(-13390)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 27*v = -10. Sort v, -7, 4.\nAnswer: -7, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49.82 + -49. Let b = h + -3.82. Put b, -2, -0.01 in increasing order.\nAnswer: b, -2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g + 6 = 0. Suppose -3*a = -9 + 3. Let l = 7 - a. What is the remainder when l is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (3 + 52)*8\/20 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9937 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-900)\/1650 - (8\/(-12) + (-800)\/(-66)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -79*c + 89. Is z(-15) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12776350*g**2*j**2*l**3 + 2*g**2*j*l**2 + g**2*l**2 + 3*g*j**2 + 89*j**2*l wrt l.\nAnswer: 76658100*g**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163985?\nAnswer: 5, 32797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-10 - 35\/(-7))\/(5*2\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/(-12))\/(24\/(-16))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 517*c**4 + 480 wrt c?\nAnswer: 2068*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -972 or -974?\nAnswer: -974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*r**5 - 5*r**3 + r - 778 wrt r.\nAnswer: 800*r**3 - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6201, -6216, -6231, -6246?\nAnswer: -6261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 29, 58, 101, 158, 229?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3275*m + 795835. Calculate v(243).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58391, 58387, 58381, 58373, 58363?\nAnswer: 58351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634 a factor of 13364486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 274*w**3\/3 + w + 8. Let a be t(1). Suppose s = -2*f + 110, 4*s - 7*s = -5*f + a. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 10:40 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 29. Let t be o(27). Let q(p) = -p**3 + p + 1. Give q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351\/45*37\/(34965\/225)\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1325 - -1286 - (-41 - 0)) + -38\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23811.\nAnswer: 3, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 7. Let z = w - -17. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 13*l**2 + 7*l - 26. Suppose 2 = -b, 5*r - 3*b + 0*b = 66. List the prime factors of a(r).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. Let o = 0.316 - 1.316. Let t = -2.7 + -0.3. Put d, o, t in ascending order.\nAnswer: t, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-3))\/4*23 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33402439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(147) - (sqrt(147) + sqrt(147)*1*1 - sqrt(147))) + -1 - ((2*(-1 + sqrt(147)) - sqrt(147)) + sqrt(147) + sqrt(147)*-2*6)))**2.\nAnswer: -140*sqrt(3) + 14701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 4894730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*n - 178*n - 23*n**3)*(-n**2 - n**2 + 3*n**2) + (2*n**4 + 0*n**4 - 4*n**4)*(-2*n + 2*n + n) + n**5 - 2*n**2 + 2*n**2.\nAnswer: -24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -7*c + 354. What is the common denominator of (-1 - -1) + c\/(-66) and 31\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 494236 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2711366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4*-6)\/(30\/(-40)). Let v be ((-12)\/9)\/((-80)\/x + 6). Solve 4\/15 + 8\/15*q**v + 2\/15*q**3 + 2\/3*q = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e241 + -4?\nAnswer: -e245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.069 * 2\nAnswer: 10.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**2 - f. Let k be (2 - 1)\/((-1)\/(-6)). Let n be (4\/k)\/((-12)\/(-306)). Suppose -18*g + n*g = 1. Determine w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*q + 260*q - 859*q + 305*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6804 + 6804. What is the nearest to g in -2\/93, -0.5, 0.4?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - l - 24. What is the remainder when 55 is divided by (4 - 6)*(-87)\/l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 7292 = -7*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133862, 133867, 133872, 133877?\nAnswer: 133882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3209 = 2*c - 1231. Let n = 3755 - c. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w - 2*w)*(-38*w**2 + 7*w**2 - 24*w**2)*(0*w + 0*w - 2*w**2).\nAnswer: -440*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46861 + -417778\/9. Let j = q + -441. What is the second biggest value in 1, -4, j, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -672, -978, -1248, -1470, -1632, -1722, -1728?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 90 = -2*o, 3*o = 3541*u - 3543*u - 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a - 2*a)*(22*a**4 + 33*a**4 + 29*a**4).\nAnswer: -252*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 77 = 5*c, -5*y - 3*c + 107 = 0. Let x = y + -17. Solve 4 = j - 0*o + x*o, j = 5*o - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 146*b**3 - 52*b**2 + 17*b - 4. Give u(-2).\nAnswer: -1414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 12*r - 70. Calculate z(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 368?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31675 is divided by 31628.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (14806\/2019)\/(44\/18)*(20\/(-102))\/(-2)\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 6, 26, 62, 120, 206, 326, 486?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 2. Let z be v(-3). Let q(c) = 4*c**3 + 11*c**2 - 3*c + 10. Let l(y) = -5*y**3 - 11*y**2 + 2*y - 9. Let g(r) = 5*l(r) + 6*q(r). Is g(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g - 7. Let c(h) = -7*h - 4. Let m(x) = -7*c(x) + 4*u(x). Calculate the remainder when 26 is divided by m(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {z: 2, p: 18}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357102.\nAnswer: 2, 3, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40025661677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, 0, -0.3, 2\/7.\nAnswer: -1, -0.3, -0.1, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -27322692*y. Let r(n) = n**2. What is r(a(k))?\nAnswer: 746529498126864*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101887 is divided by 694.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 30478 = -2*z, 5*p = -3*z + 34444 + 11281. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78388*y + 78609*y - 156995*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 93\/(-279) + 0 + (-8)\/84. Put 0.5, 3, k, -24, 0 in decreasing order.\nAnswer: 3, 0.5, 0, k, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -648\/7?\nAnswer: -648\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 + 2 = 0. Suppose -6 - 11 = 4*r + 5*s, 0 = -3*r - 5*s - 19. Factor -x + x**2 - f - r*x + 11.\nAnswer: (x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48879*o*s + o + 2*s - 16801 with respect to s.\nAnswer: 48879*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -61. Calculate the common denominator of (25\/7)\/((-6)\/35) and (f*(-9 - -2))\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 2*b**2 - 9*b**2 + 3 + 3*b**2. Let k(u) = -20*u**2 + 4*u + 16. Let r(v) = 16*a(v) - 3*k(v). Find the second derivative of r(j) wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2553, -33300 in ascending order.\nAnswer: -33300, -2553, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -10.94. What is the nearest to 2\/3 in y, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:08 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-131)\/131)\/((-1)\/((-4)\/(-28))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -617, -1231, -1845, -2459, -3073, -3687?\nAnswer: -4301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2\/21, 32\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 4, 11, 9, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -930 + 930.2. Sort -0.2, i, -8\/15, 0 in descending order.\nAnswer: i, 0, -0.2, -8\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1305605*o**2*z**2 - 5*o**2*z + 15*o**2 + 264*o*z - z**2 - z - 4 wrt z.\nAnswer: 2611210*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + 16*k**2 + 3*k - 16*k**2 + (k**4 - 2*k**4 + 0*k**4)*(k - k - 2*k).\nAnswer: 3*k**5 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/((-29)\/116). Let m(f) be the first derivative of -20 - 2\/15*f**5 - 1\/3*f**4 + 2\/3*f**3 - 8\/3*f + 4\/3*f**w. Suppose m(o) = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (24 + 0)) + (-4 - (-102 + -4) - 2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*4\/(-6) + 3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83671429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.1 (b) -4 (c) -0.06 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -83*p - 590. Determine a(0).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 + 2*t**2 - 5*t - 4. Let z be (1\/2)\/(1\/(-2)). Let x(v) = v**2 - v - 1. Let k(d) = z*u(d) + 4*x(d). What is k(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61267.25 years?\nAnswer: 6126.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 613*z + 39237. What is g(-64)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjjrrjrrdjrrprrj. What is prob of sequence pjrd?\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 - 11*n**4\/12 + n**3\/6 - 5*n**2 - 15*n. What is w(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -27487, 2 in increasing order.\nAnswer: -27487, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16735 >= 16745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193, -3, 0.05, 0.4 in decreasing order.\nAnswer: 0.4, 0.05, -3, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.37 - 0.07. Let g = o + -3.4. Let f = 5 + -10. What is the third biggest value in -0.06, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 9139430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 1\/3*j**4 - 3*j + 0*j**2 + 0*j**3 + 0. Let o(m) = -m. Calculate o(q(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16309.\nAnswer: 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and 508?\nAnswer: 18288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 - 2)*(-1 - 4 + 2)*(3 + 2*l - 3)*(6*l + 5*l - 2*l)*(0 - 4 + 3).\nAnswer: -594*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -41.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -153244*v**3 - 1 + 153732*v**3 + 3 + (v - 3*v + 0*v)*(-4*v**2 + 3*v**2 + 3*v**2) + 4*v - 2*v**3 - 4*v.\nAnswer: 482*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/9)\/((-92)\/(-15) - 6). Solve -x = b, 3*b + 5 + m = -x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:14 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2886091100 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j - 1. Let b be j\/((-12)\/(-10) - 1). Find the third derivative of -3*y**2 + 4 - 4 - y**b wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(190) + -2*sqrt(190)*-1 - (sqrt(190) + (sqrt(190) - sqrt(190)*-1))*4))\/(((sqrt(70) - 2*sqrt(70) - sqrt(70))*-1 - sqrt(70))\/(1*sqrt(7)*6)).\nAnswer: -162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280*u - 1657*u - 4871*u to the form f*u + s and give f.\nAnswer: -6248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 104 - 65 = -5*s, -4*s = -2*j + 26 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by 7294.\nAnswer: 135\/7294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.97048 - 0.84519.\nAnswer: -2.81567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/140 - m**4\/28 - m**3\/14 - m**2\/14 + 4*m. Factor c(d).\nAnswer: -(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 + 28 + 18)*(2*p - 3*p + 4*p + (2 - 2 - p)*(2 - 2 - 3)) to y + z*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + -6*(2*sqrt(980))\/((sqrt(176)\/sqrt(4))\/sqrt(11)) + -4))**2.\nAnswer: 29400*sqrt(5) + 883225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -18200, -5, 5 in decreasing order.\nAnswer: 5, -5, -18200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 14*q + 3*q. Suppose -d + 2*s + 26 = 0, 0 = 3*d + 2*s + q - 72. Solve 0*g + 3*g - 12 = 0, p = 5*g - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 - 4*m**2)*(m + 4*m - 2*m) - 3*m**3 + m**3 + 3*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 27 - 4) + -11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -25*z + 2. Let t be f(-4). Suppose -456 = -7*d - d. Suppose t = 3*h - d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 - 1102?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170118 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (-6080)\/(-135) - (-721)\/27 - 19.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000100101110010 + -1001?\nAnswer: 1111000100101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vddvg. What is prob of sequence gdv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**4 - 5*f + 29*f - 14*f**3 - 15*f**4 + 8*f**4 + 3*f**4 to the form k*f + p*f**4 + a + m*f**3 + g*f**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1292825 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*j + 8 = 0, -18*s + 13*s + 2 = 4*j. Let u = -0.3 + 0. Which is the third biggest value? (a) s (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 136*j**2 + 284*j + 144.\nAnswer: -4*(j - 36)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9777942 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, i: 1, o: 1, t: 2, k: 5}. What is prob of picking 1 k and 1 o?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1691162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -31, -79, -151, -253, -391, -571?\n\"Answer: -r**3 - 3*r**2 - 14*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.53254 months in millennia?\nAnswer: 0.011961045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/105 - (-56)\/30. Let m(p) = -3*p + 5. Let d be m(q). Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**5 - 15*s**4 - 199*s - 10 wrt s?\nAnswer: 40*s**3 - 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.6 * -10.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1, 4, 0.2, 22, 6\/11, -4.2 in decreasing order.\nAnswer: 22, 4, 1, 6\/11, 2\/7, 0.2, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/16 - (-7)\/2. Suppose 9*v - 32 = 7*v. Put p, -2, v in decreasing order.\nAnswer: v, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 221*q**8\/112 + 73*q**5\/20 - 286*q**2. Find the third derivative of w(y) wrt y.\nAnswer: 39780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**3 - a**4 + a**3)*(-9 - 8 + 3)*(-7 + 2 + 0)*(0 - 1 + 4) to the form k*a + p*a**3 + q*a**4 + i*a**2 + m and give q.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-3))\/((-72)\/3348). Let m = f + 167. Calculate the remainder when 488 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1920, -1901, -1882?\n\"Answer: 19*r - 1939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.2. Let t = 40 + -45. Which is the nearest to 0? (a) 2 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + 12 - -1 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/9)*t)\/t*t*t)**10*((t\/(t\/(t\/t**(-8))*t))\/t*t)\/((t\/t**(-4\/5))\/t) assuming t is positive.\nAnswer: t**(1324\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117882 by 111.\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -19*x**2 - 19*x + 7. Let p(v) = -12*v**2 - 13*v + 5. Determine -8*p(r) + 5*t(r).\nAnswer: r**2 + 9*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/(-2))\/(12\/(-72)). Suppose -2*w = -o + 39. What is the remainder when (47\/(-2))\/(w\/6) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370986730 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9149686 to the power of 1\/2, to the nearest integer?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(-19)\/741*-403?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3 - 5 + 0 + 2*u + 3. Let d be j(4). What is the second biggest value in -0.5, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8 and -19\/2102733.\nAnswer: 16821864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5\/3 + 344*m**4 - 6092*m**3\/3 + 3704*m**2 - 2016*m = 0. What is m?\nAnswer: 0, 1, 2, 3, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*v - 20 = -0*v, 5*f + 4*v - 19 = 0. Suppose 0*a = f*a + 9*a. Solve -31*n + 35*n + 4 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8364*b**5 + 315*b**2 - 14565854*b wrt b.\nAnswer: 167280*b**3 + 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83782464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*x = -316*x + 72*x + 82*x - 2655 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 4*i**2 - 5*i + 3. Let t be y(0). Let o(r) = -16*r + 60. Let w be o(t). Solve 24*a - 28*a = w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10317 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80.8 in -0.3, 1, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/7 - 3*c**3\/7 - 303*c**2\/7 - 1053*c\/7 - 108 = 0. What is c?\nAnswer: -7, -3, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 430.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 25*m + 6. Calculate the smallest common multiple of o(5) and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6022 less than 0.1?\nAnswer: -0.5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 16*y**2 - 10*y + 6. Calculate d(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3 - 16*g - 1789 wrt g?\nAnswer: 6*g**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.7 - 20.72. Let x = j + 0.02. Suppose -m = -u + 5, -3*u - 28 = 5*m + 5. Which is the closest to m? (a) -0.2 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129791912 a multiple of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 10935 - 4997. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387798361.\nAnswer: 387798361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 439.1393 millilitres?\nAnswer: 0.4391393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**39*j*j**0\/j*j*j\/j**(3\/4) assuming j is positive.\nAnswer: j**(-463\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0287 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-1159)\/38 - 266\/4?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-9))\/2*-12. Suppose -k + g = -3*s, -k - 8 = 6*s - s. Suppose 0*x - 4*t = 5*x - 45, -10 = 2*t. What is the remainder when x is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 1061564416 - 1061564416.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Round 1814000 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -211554 - -4?\nAnswer: -211550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13160 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050364323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 63*s**2 + 3*s**3 + 37*s**2 + s**3 + 38*s**2 - 3*s**3 - 8. Let r be g(-12). Solve h - 12 = r*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10*v = -8*v + 5072, 3*b = -5*v + 3099. What is the remainder when b is divided by 246?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*l = 71 + 37, 2*l = -3*s + 71. Suppose 8*q - s = 63. Calculate the remainder when 21 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 416 - 217. Let p = -198.6 + u. Suppose 6 = 2*w + w. What is the closest to 2\/7 in -1\/3, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76 - 173*i**4 + 153 - 7*i + 19*i**4 - 166*i**4 + 5*i wrt i.\nAnswer: -3840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - b + 1 + 18 = 0, 2*b - 21 = p. Let f be (5 + -1)\/((-2)\/9). Let v = p - f. Solve -d - 3 = -v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310 is divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122020 (base 3) to base 4.\nAnswer: -13101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 0*s + 2*f + 10 = 0, 2*s + 14 = 2*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 840 and 6405?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.167, 0.3, 3, 0.5, -4\/9?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least -1467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p - 28314 = 17*p + 14*p. Does 30 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3852.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.38592959 and 0.18052.\nAnswer: -0.20540959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -5 (c) 13.8 (d) 0.2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + z + 0*z + 8 - 31.\nAnswer: -2*z - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33504*d - 18*d**2 + 9*d**2 - 67014*d + 2*d**2 + 33510*d.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20*z*z**(-2\/29) assuming z is positive.\nAnswer: z**(607\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/4)\/((1140\/(-820))\/(-19))*-1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (16 + (7 - 23)) - (-2 - -1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12889341.\nAnswer: 3, 477383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1619 divided by 1654.\nAnswer: -1619\/1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4\/3. Let a be (9\/(-6) + 1)*6. Let s be (-12)\/32*2\/a. What is the third biggest value in -3\/8, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -35212, 220 in ascending order.\nAnswer: -35212, 4, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2067, 4132, 6199, 8268?\nAnswer: 10339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20970 and 1631?\nAnswer: 146790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.05 + 1. Sort w, -5, 0.2 in ascending order.\nAnswer: -5, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/10 and -37\/200078564.\nAnswer: 1000392820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (-7 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*s + 46, -3*y - 2*s + 86 = 2*s. Calculate the highest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3 + 36*m**2 - 122*m + 84 = 0.\nAnswer: -21, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + g**2 + 4*g**2 + (-3*g + 4*g - 3*g)*(-2*g + 2*g + 2*g) - 13972 - 13215*g**2 + 13972.\nAnswer: -13218*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**2 + 1\/3*c**3 + 12 + 3*c. Let u be d(-2). Solve u*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 16. Let a(s) = 51 + 58 + 53 + 55 - 215. Give 18*a(m) + 2*z(m).\nAnswer: -12*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 5.1. Let j = -48.1 + 48. Sort -1\/2, n, -3\/5, j.\nAnswer: -3\/5, -1\/2, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqqpkkpssknq. What is prob of sequence pkk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -512.94821662 and -290.\nAnswer: -802.94821662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 11010 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 78 and 30.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p**2 + 2*p - 1. Let n be f(1). Calculate the greatest common divisor of n and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6780.341ng?\nAnswer: 0.000000006780341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 4*j - 8. Let b be o(-6). Suppose -5*v + 10 = a, 5*a = 4*a - b*v + 8. Suppose -23 = -4*t - 3, -5 = 2*m - t. Solve -2*d + a + 8 = m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*g - 35*g = 132284 + 469828. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 27. Solve w = 5*z + 7 + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-114 - -93 - (-2 + 15))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.742 - -0.3.\nAnswer: -5.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*f + 2*h, -4*f + 2 = -4*h + 5*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db2f + 5?\nAnswer: -db2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqkqslsqrllskqs. Give prob of picking 1 r, 1 q, and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170860.\nAnswer: 2, 5, 58543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/42 and -67\/22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = r - 3*r, v = -2*r + 4. Let c be 6\/(-63)*(-8 - 13). What is the third derivative of -2*i**2 + 26*i**3 + 2*i**c - 11*i**2 - r*i**2 wrt i?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 5, -34 in descending order.\nAnswer: 5, -1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 94*m + 128*m - 32*m)*(-m**3 - 3 + 3).\nAnswer: -2*m**4 - 45*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-2 + -3) - -10. Calculate the highest common factor of k and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163106, 326252, 489398, 652544?\nAnswer: 815690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -2. Suppose 2*i - 45 = 35. Calculate the remainder when i is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + c9706?\nAnswer: c9709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1446 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 101803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21)\/(420\/(-8)) + 1 + (-139)\/20 and 1\/2076?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7400439697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*a**3 + 5 + (-6*a**2 + 3*a**3 + 6*a**2)*(-119 + 61 + 67) to the form s*a**3 + p + c*a + j*a**2 and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 494, 490, 486, 482, 478, 474?\n\"Answer: -4*p + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66*(-5 + (-1408)\/(-288)).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a**3 + 4*a**2 - 5*a - 3. Let u(j) = -7*j**3 + 4*j**2 - 4*j - 2. Let x(f) = 6*q(f) - 7*u(f). Calculate x(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15206 + 15222. Calculate the remainder when 12143 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1294*b**3 + b**2. Let g be c(-1). Let a = 23297\/18 - g. Let x = 149\/66 - 1\/11. Find the common denominator of x and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/187 + (-128)\/704?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004829 rounded to 4 dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8080 is divided by 450?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -281*-0.5\nAnswer: 140.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*l + 278 + 142 = 0, -5*l = 5*u - 2085. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 9*y - 52. Let b(t) = 2*t - 4. Let v(n) = -5*n + 9. Let j(u) = y*b(u) - 6*v(u). Determine j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40.2, -15.4, 41 in descending order.\nAnswer: 41, -15.4, -40.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -283*y**3 + 22*y**2 + 128*y - 20. Is j(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {o: 9, a: 9, s: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**3*a)\/(a\/(a\/(a**(1\/4)\/a))*a)*(a\/a**(-2\/3))**(-2\/21)*(a**(-9)*a*a**1)**27 assuming a is positive.\nAnswer: a**(-46471\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (11 + -5 - (9 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + h = 4*j + 38, -j = 5*h - 8. Let m = -4 - j. Suppose -2*l + 18 = f, m*l - 4 = -f + 15. Calculate the smallest common multiple of 14 and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 2*m - 3*m)*(1 - 1 + 2) - 3477 + 2*m - m + 3479.\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suv. Give prob of sequence vu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3646673 + -9890584. Let v = t - -2203911. Round v to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5*9\/27*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*a = 68*a + 4873 + 1617 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/3, 0.5, -131?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)*-1 + 4. Suppose -4*r = -g*r - 8. Solve -k - 3*b = r, -6*k + 3*b = -k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.8 + 36. Let f = 24 - g. Let i be (-10)\/(-24) + (-3)\/18. Which is the nearest to -0.2? (a) -2 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3892 smaller than -3876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312565 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 680183291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 5048*y + 50530.\nAnswer: -(y - 10106)*(y + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-253)\/184)\/(28\/(-16))*20\/5\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2\/(-5))*-10. Let l be (2\/(-5))\/(5\/q). Solve 2*n - 3 = -u, -5*u - n = -u + l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 150.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1777285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1225*u - 6410. Determine g(-5).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/651 - -659\/2604. Which is the nearest to 0.1? (a) -0.2 (b) d (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1126122377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**4\/38 - 32*d**3\/57 + 4*d**2 - 160*d\/19 + 560. Factor k(j).\nAnswer: -2*(j - 2)**2*(j + 20)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 3*y - 6653 = -27*c, -3*y + 3325 = 2*c. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572121 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.1 + -19. Which is the third smallest value? (a) u (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 9*n + 10. Let t be q(8). Let k = t + -2. Let f be (-1225)\/49 + 25 + 2\/(-12). Sort 0.1, -1\/2, k, f in descending order.\nAnswer: 0.1, k, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1333943*v. Let b(p) = 349*p. Calculate s(b(z)).\nAnswer: -465546107*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1107, 4\/3, -137?\nAnswer: -1107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 10*p + 11. Let z be x(-9). Let k be 8\/12*1\/z. Suppose -4*f = 2*n - 0*f - 18, 2*n + f = 9. Put k, 0, n in increasing order.\nAnswer: 0, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14848480 to the power of 1\/2, to the nearest integer?\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2 + 6*k + 23. Let f be h(-18). Let x = f - -6668. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -374473 (base 10) to base 12\nAnswer: -160861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -846 + 2083. Suppose -5*t = 5*s - 6135, 4*t + v = -24*s + 25*s. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*-3*(-1)\/(-9) + 39?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 2. Let h(r) = -5*r - 2. Determine 5*h(o) - 4*p(o).\nAnswer: -5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - -3 - (-55 - (20 + -190)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11212211 (base 3) to base 12.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**6\/120 + 7*l**5\/60 + l**4\/8 + 7*l**3\/6 - 5*l**2. Let y be h(7). Suppose -2*z + y = 2*z. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 2*w**2 - 8*w.\nAnswer: w*(w - 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*r - 4*r. Let n = 83 - 55. Suppose -r*h + 1 + 15 = 4*z, n = 5*z + 3*h. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o. Let h(m) = 309630*m**2. Calculate l(h(u)).\nAnswer: -1857780*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:26 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*1\/(2\/14). Suppose 2*t - a*t = -60. Let z(g) = -g**2 + 139*g - 1500. Let i be z(12). What is the highest common divisor of t and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 763392466911.\nAnswer: -763392466916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 16 = 2*d + 64, 0 = 2*n + d - 106. Calculate the highest common divisor of 130 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 341367516 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28909*m - 28902*m - 7 = 0. Let y = 4 + -3.92. Which is the closest to m? (a) 0.3 (b) -4 (c) 5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a*t*w**3 - 2*a*t*w**2 - 3*a*w**4 + 14*a + t + 2*w**4 - 4*w**2 wrt w.\nAnswer: 60*a*t - 72*a*w + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f*y + 2411*f - 976*y + 5 wrt f.\nAnswer: -4*y + 2411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24249431*b**2*z**2 - 14*b*z**2 + 5*b*z + 3996*b + 2 wrt b?\nAnswer: -48498862*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (((-21350)\/(-15))\/(-14))\/((-45)\/27).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4374, 4318, 4262?\nAnswer: 4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g + 2*g**2 - 2*g + 175*g**3 - g - 67 + 67 in the form r*g**2 + z*g**3 + a + p*g and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)*(p**(-6)\/p)\/p)**(-39) assuming p is positive.\nAnswer: p**(2535\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*t + 5, -5*t + 12 = -u - 11. Suppose -t - 95 = -q. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 387063\/31 - 12486. What is the closest to u in -0.3, 2\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**5\/20 + 5*k**4\/12 - 5*k**3\/6 + 3*k**2 - 25*k. What is m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Let w be p(-1). Let a(u) = -u + 11. Let x be a(w). Solve -2*m - 4 = -y - 1, 5*y = -3*m - x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 280, 275, 270, 265, 260?\n\"Answer: -5*y + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23037517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263355054.\nAnswer: 2, 3, 41, 1009, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/24*0 + -21070 + 2. Round v to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39540 or 39538?\nAnswer: 39540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175.19 - 176. Let t = c - -2.11. Let h be -2 - (-1 + 0 + -3). Is h greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4518627 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h - 12. Suppose 2*a - 4*y - h = 0, 6*a = 3*a + 3*y + 24. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 42 + 12. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11 - -6)*264\/(-15) is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 4*r + 1. Let p be t(-2). Let x be ((-8)\/(-20))\/(p\/5). Let h = -364 + 365. Sort -2\/9, h, -0.2, x in descending order.\nAnswer: h, -0.2, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3788 + 3787.9913. Which is greater: -0.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 3*p - 2*p)*(-1 + 0 + 0)*(-4 - 15*p + 14*p + 7) to the form x*p**2 + r + m*p and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and 157.43649684?\nAnswer: 156.03649684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0.4, 3580, -15\/209?\nAnswer: -15\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 - 2*x - 1. Let f be (9\/27)\/((-2)\/6). Let m be v(f). Let u(k) = k**3 - 4*k**2 - 3*k - 4. What is the tens digit of u(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 6:33 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*i - 0*i - 1268, -3*i + 5*j + 955 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220202 - 111?\nAnswer: -220313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Let g be 0 - 0 - 1*-2. Suppose -g*w + 0*w = -b. Put -4, 5, w in decreasing order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.77 millennia to years.\nAnswer: 770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-58)\/(-10))\/((-60)\/200). Let k = 24 - b. Solve z - 4*p = 2*z - 10, 3*z + p - k = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21028 - -5755. What is b rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.1, 0.04, 1, 0.6 in decreasing order.\nAnswer: 1, 0.6, 0.04, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4334 + -4337. What is the second smallest value in k, 18\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -53, -208, -511, -1010?\n\"Answer: -8*x**3 - 2*x**2 + 7*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -92. Let l = 2 + 1. Suppose -2*m + v = l*n, -m + 5 + 0 = n. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 2*x + 1. Let y be j(-1). Let i be (y\/(-4))\/(10\/220). Find the second derivative of -18*w**2 + i*w**3 + 18*w**2 + 18*w wrt w.\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-32)\/12)*15540\/(-16)*34000. What is h rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 29 - 44. Suppose t + 12 = -w*t, 0 = 5*b - 3*t - 24. Suppose -2*n + 1711 = -u - 6453, b*n - 12255 = -3*u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 + m**2)*(-1 - 6 + 0)*(-2 + 1 - 1)*(2 - 1 + 0)*(0*m + 11*m + m).\nAnswer: 168*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 205806 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.596519463 minus -0.096?\nAnswer: -1.500519463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -100, -182, -296, -442, -620, -830?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6161445 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -94. Let q = -24 + k. Let b = 14 + -2. Calculate the least common multiple of q and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -1. Sort 0.3, w, 1\/8 in descending order.\nAnswer: 0.3, 1\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -1\/45*d**5 + 0*d**3 + 25*d + 1\/54*d**4 + 1\/135*d**6 + 0*d**2 + 0. Factor w(t).\nAnswer: 2*t**2*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 8, 1, 2, -2 in descending order.\nAnswer: 8, 2, 1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -287 - 2*q**2 + 2*q**3 + 2*q - 251 - 51*q**4 - 284 + 810 as k*q**2 + r*q + p*q**3 + g + y*q**4 and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**4 - 9*x**3 - 3*x**2 + 9*x + 5. Let u(y) = 4*y**4 + 5*y**3 + 2*y**2 - 5*y - 3. Let c(z) = 3*q(z) + 5*u(z). Factor c(s).\nAnswer: -s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -49.3. Suppose -4 = 3*k + 17. Sort 3\/4, k, 1\/4, c.\nAnswer: k, c, 1\/4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 2*d + 4\/3.\nAnswer: 2*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 974a + -1542?\nAnswer: 8208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12230, 24767, 37304, 49841, 62378, 74915?\nAnswer: 87452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5 + 4. Let f be 1\/(t\/(-177)) - 2. Let a = f + 185\/3. Is 1 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 320400?\nAnswer: 320400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*s - 3*v + 36, 5*v - 6 = 3*s - 13 + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Suppose -3*s = -g - 21, -4*s = g - 22 + 1. Suppose 14 = 4*a + s. Let q(h) = -2*h**a - 4 + 4. What is f(q(p))?\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b - 50*b + 70 - 23982 = -568*b for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 26*y**2. Let z(u) = 3 - 6416*u + 6427*u - 3. Determine z(w(g)).\nAnswer: 286*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -306252 + -81565226.\nAnswer: -81871478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:42 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*3*(sqrt(176) + 1)*-1 + -5)**2.\nAnswer: 1872*sqrt(11) + 57193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1090270 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 166, 176, 186, 196, 206, 216?\n\"Answer: 10*k + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 119690 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55221269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*f**2 + 587*f - 143*f**2 - 67*f in the form b*f + q*f**2 + x and give b.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmomdp. What is prob of sequence op?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(252) + 1)**2 + (4*(sqrt(28)*2 + 1))**2.\nAnswer: 68*sqrt(7) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - x. Let n be k(1). Let j(s) = 2*s**2 - s. What is the remainder when j(n) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121176 and 19806039?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.4, 3, 7, 2\/7, 0.22?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 5, -1, -50, -41504 in ascending order.\nAnswer: -41504, -50, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 6*x**2 + 4. Let f be v(6). Let s = f - -1. Suppose -27 = -3*c + 3*d, 0 = -3*c + 3*d - s*d + 2. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -0.88 (b) 2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111666613.\nAnswer: 111666613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010 + 1001100110100111?\nAnswer: 1001101000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077115 a multiple of 949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*z = 397*z - 2745 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9625928*c**4 - 8814*c**2 + 207*c + 1 wrt c.\nAnswer: -231022272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31963495.\nAnswer: 5, 6392699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3593 by -12.\nAnswer: 3593\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f. Let n(x) = -40*x + 4. Let y(h) = -7*h + 1. Let q(i) = n(i) - 4*y(i). Give q(g(m)).\nAnswer: 132*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*u - 3, -16*n = -12*n - 2*u + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8401297?\nAnswer: 43, 47, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 1649*t - 69070. What is k(-43)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 12 = 4*j, -2*l + j = 19 - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4799 is divided by 1176?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, a: 1, u: 1, b: 1}. What is prob of sequence bu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21938679083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 81 = -2*a, 0*a = -5*s - 5*a - 90. Let t be (s\/10)\/(9\/(-120)). Let p = t - 16. What is the third smallest value in p, -4, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*i + 104 = 0, 27*h + 4*i + 88 = 31*h. Let z be 8 - -1 - (h + -313). Is z >= 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1360)\/(-400))\/(969\/95). Let 0*l**2 + 0*l**4 + 0*l + 1\/3*l**5 + 0 - n*l**3 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-1*-3)**2 + (sqrt(833) - (-1 + sqrt(833)))*5 - ((sqrt(833) + -1)*1 - ((-1*sqrt(833) + 3)**2 + sqrt(833))).\nAnswer: -42*sqrt(17) + 8345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28149a2 (base 14) to base 9.\nAnswer: -40467517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Let q be 0\/((-11)\/((-22)\/6)). Sort v, 5, q in decreasing order.\nAnswer: 5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39310390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + 6 = 2*x, 3*x = 3*k + 24. Solve n - 7 = -x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**3*o**3 + 23*k**3*o**2*r + 2*k**3*o**2 - k**2*o**3*r + 3*k*o**3 - o*r wrt r?\nAnswer: 23*k**3*o**2 - k**2*o**3 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/435 in -3\/4, 4, -5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*q - 163 + 62 = 0, -3*q = -4*h + 142. What is the greatest common factor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -352*j - 1808. Determine i(-6).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744623.\nAnswer: 7, 37, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.285 plus -0.08?\nAnswer: 760.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -19*z. Let n(f) = -2*f**2 - 121. What is k(n(w))?\nAnswer: 38*w**2 + 2299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 8)*(1439 - 1439 + 15*u).\nAnswer: -195*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*x**3 - 634*x wrt x?\nAnswer: -330*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -45, -108, -205, -342, -525, -760?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l + 2. Let z be j(2). Let b = 1 - 1. Solve b = -g + 4*g + z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2. Let r(g) = 4*g + 4. Determine s(r(y)).\nAnswer: -64*y**2 - 128*y - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12065 + 313653\/26. What is the common denominator of c and -71\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 6. Put -3, 4, j in ascending order.\nAnswer: j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:40 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/7)\/((-160)\/(-2800)). Solve y - 2 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = -4*o. What is the units digit of (-10)\/(-20) - 1\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 186194038?\nAnswer: 1\/93097019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 12 = -3*j, r + 15 = -j + 9. Let u = 1.9 - 2.04. Let v = -0.24 - u. Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 87*c**2 - 775*c - 1061. What is d(-95)?\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (3*sqrt(102) + sqrt(102))*3) + sqrt(102) + (sqrt(102) - -1*-3*sqrt(102) - sqrt(102)))\/(2*(1*sqrt(486))\/sqrt(9)).\nAnswer: -13*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*b + 4*b - 4*b)*(2*b**2 - 1 + 1) - b**2 + b**2 + 8*b**3 - 5*b**3 + 3*b**3 + b**3 + 3*b**3 + b**3 - 2*b**3)*(1 + 3 - 2)*(-3*b + 4 - 4).\nAnswer: -126*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/5, -7316, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/330*(3 + -4 + 13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 - 0.7. What is the closest to -4 in 0.3, a, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 4, r: 2}. What is prob of sequence quru?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(300)*2*-1)\/((sqrt(72)*-1)\/sqrt(12)) + -3 + 1)**2.\nAnswer: -1224 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1798)\/261 - (-14)\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/30)\/(-7*4\/1400*10\/(-12))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/17 + 2804*k**2\/17 - 226352*k\/17.\nAnswer: -2*k*(k - 1316)*(k - 86)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**4\/24 + x**3\/2 + 2*x**2 - 10. Suppose -p + 5*i - 7 = 0, 0*p + 2*i = 2*p - 2. Give r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*l + 122*l - 484 = 0. What is the least common multiple of 72 and l?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3548 = -184*z - 228*z - 5516 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, -0.5, 58, 2\/5, 5, -0.17 in ascending order.\nAnswer: -0.5, -0.17, 4\/15, 2\/5, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/1140 - 7*j**5\/38 - 433*j**4\/228 - 109*j**3\/19 - 8144*j**2. Suppose x(b) = 0. Calculate b.\nAnswer: -3, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 7*g + 8. Let p be r(6). Suppose -j = -3*j - 44. Let y = p - j. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6708 and -49\/454080?\nAnswer: 5903040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -183 - -208 - (-138)\/(-4)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169407?\nAnswer: 3, 7, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-5)\/((-44)\/44).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 715562*v**2 - 304611*v wrt v.\nAnswer: 1431124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 27934464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 + 0*o**2 - 4*o**2 + (o**2 + 0*o + 0*o)*(-3 - 3 + 4) - 6*o**2 - 4*o**2 + 3*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 20*g**2 - 17*g - 3. Let i(f) = 7*f**2 - 6*f - 1. Let s(b) = -17*i(b) + 6*u(b). Let p(l) = 4*l**2 + 2*l - 5. Let a be 88\/14 - 2\/7. Give a*s(k) - p(k).\nAnswer: 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/30 + f**4\/24 + f**3\/6 - f**2. Let r be (0 + (-2)\/(-4))*-2. List the prime factors of b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 h, and 1 u when three letters picked without replacement from udfwdzh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*h**2 + 107*h**2 + 65*h**2 + (-h + 0*h - h)*(0 + 0 + 8*h) - h + h - 2*h**2 as p*h + x + o*h**2 and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 87225088 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1185.06969 microseconds to weeks.\nAnswer: 0.000000001959440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -6. Let g = -0.38 + 0.18. What is the nearest to 0 in -5\/4, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 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 1078 and 3410?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148634834 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.66 - -2.76. Put 0.08, j, 0.2 in ascending order.\nAnswer: 0.08, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153776 a multiple of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*z - 512*z - 5 = -m, 3*z + 5*m = 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/275 and -86\/56025.\nAnswer: 616275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -15.3. Let d = 1 - w. Let z = d + -0.3. What is the second smallest value in z, -0.1, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 12:43 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) - (sqrt(132) + -2*sqrt(132))*-6) - sqrt(132))\/sqrt(12) - (-1 + (sqrt(121)*1)\/sqrt(11)).\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9680?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72733, 290486, 653409, 1161502, 1814765, 2613198, 3556801?\n\"Answer: 72585*s**2 - 2*s + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2659*y + 5*v + 140 = -2654*y, 0*v + v = -2*y + 65 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7819 divided by 7\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -63, 0.4, 5, -0.5?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8 + 26 - 9) - -20?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00783628 to 4 dps.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1141310000 to the nearest 1000000.\nAnswer: 1141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 41*s + 290 = 2*z, -70 = -s + 2*z. What is the highest common divisor of s and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 52 = r + 116 - 27, -d + 4*r = -24 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 17945?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67837095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4314555 and 4\/4314555.\nAnswer: 4314555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 16190 = -22*n. Is (-7 - -4) + 2\/2*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/127 + -454\/1143. Which is the closest to -2? (a) y (b) 5 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91.3 + 76. Let x = 15.28998 + m. What is x rounded to four dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*f + 327, 0 = 3*f - 2*u - 123 - 370. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*d + 3*d - 3*d)*(5 - 4 + 1) - 8*d + 43*d + 10*d)*(3*d - 4*d + 10 - 17).\nAnswer: -53*d**2 - 371*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - -451. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.4 - -23. Let j = i - -1.5. What is the closest to 1 in 1, -5, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3694 not equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9669914 and 4098?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.99, 0.2, 0.1 in decreasing order.\nAnswer: 0.2, 0.1, -2.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5178018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 3*w + 2*j, -5*w + 3*j - 15 = 0. Suppose w*g - 18 = -2*g. Let v(f) = 1 - 7*f - 3*f**2 - 4 + g*f + 2*f**3. Calculate v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from pbbbppkb.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87706, -175281, -262834, -350365, -437874?\n\"Answer: 11*x**2 - 87608*x - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000089 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -621, -2, 4, 48, 5, 1.\nAnswer: -621, -2, 1, 4, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 42 + 103 - 3*v - 12*v.\nAnswer: -15*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose -s*r - 9 = -3*a - 0*a, 0 = 3*r + 4*a - 12. Suppose 0 = 3*f - 5 - 10. Sort 3, r, f.\nAnswer: r, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:08 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242641439 or -242641438?\nAnswer: -242641439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0 - 12. Let k = 3 - 5. Which is bigger: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9080975861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**3\/3 + 61*b - 1. Let l(h) = 7*h - 76. Let u(i) = 6*i - 77. Let z(t) = -4*l(t) + 5*u(t). Give z(g(f)).\nAnswer: -4*f - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*m + 99, m - d + 5*d - 26 = 0. Suppose 0 = -4*k - 4, -33*n - 5*k + 23 = -32*n. Let i = m - n. Which is bigger: i or 9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*w, -3*d + 3*w + 15 = -3. What is the smallest common multiple of 75 and d?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11848 + -11731. What is the second biggest value in t, -5\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.2 - 7.8. Let n = 12.1 + x. What is the third biggest value in n, 2\/7, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t - 2*c - 2*c, -4*t + c - 16 = 0. Let x be (24\/(-40))\/(t\/15). Calculate the remainder when 30 is divided by (12\/(-5))\/(x\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270643612.\nAnswer: 2, 67660903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/486 and -11\/27?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhh when three letters picked without replacement from mhhhhhhhlmlmhhmmhhh.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 2 + sqrt(1900) + 0)**2 + 1.\nAnswer: 80*sqrt(19) + 7605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 45, 61, 75, 87, 97, 105?\n\"Answer: -k**2 + 21*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - -11) + (5789 - 5894).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/7 + -34\/21. Sort -7, 0.5, q in decreasing order.\nAnswer: 0.5, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 5529764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/11 - 40600*f**4\/11 + 18369924*f**3 + 40354735400*f**2\/11 + 1975908987362*f\/11 = 0. Calculate f.\nAnswer: -97, 0, 10247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1655.634 rounded to the nearest 10?\nAnswer: -1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 - 0.2. Let s = -685\/2 + 343. Which is the biggest value? (a) 0.06 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210160053.45328629 - 210160071.3. Let z = 17.0867131 + y. Let l = z - -0.76. What is l rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -143, -212, -281?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.138655258 rounded to two decimal places?\nAnswer: 7.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 252 + -258 + (-92)\/(-3 - -1). Suppose 3*b + u + 4*u - 193 = 0, -3*b + 4*u = -148. What is the greatest common factor of b and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 16*l**3 - 22*l**3 + l**3 - 4*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -226.9741 + -0.0259. Let r = 227.00000488 + x. What is r rounded to 7 decimal places?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -17*z - 13. Let d(c) = 17*c + 9. Calculate 3*d(v) + 2*j(v).\nAnswer: 17*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 6*j - 14. Let b(l) = -3*l**2 + 5*l - 14. Let c(y) = 3*b(y) - 4*z(y). Let h be c(-8). Suppose -h = -2*a - 8. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37443 - 37441. Let l(o) = 2*o**3 - 3*o**2 + 5*o - 5. Determine l(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16427197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-3)\/6*1). Suppose 5*p - 27 = -3*o, -b*o + 5*o - 15 = -p. Let s = -10 - -20. Solve p*i - s = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 19 = -2*h + 3*j, 4*j = h - 7. Let r be ((-4)\/2)\/(h - -3). What are the prime factors of (r + 5)\/((-12)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*y**2 - 19*y**2 + 34*y**2)*(-263 + 81*y + 263).\nAnswer: -324*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84731\/13 + 6517. Which is greater: 16.1 or g?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**5 - 1196*i**4 - 13924*i**3 - 42644*i**2 - 48280*i - 18368 = 0.\nAnswer: -287, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 47 = 5*d, -p - 1 = 2*d + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98, 195, 292, 389, 486, 583?\n\"Answer: 97*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 234553213 > 234553211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 - (-3 + 1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2732.9 take away 0?\nAnswer: 2732.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32728839 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 117?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*x = -48 + 20, -2*x - 14 = -5*q. Which is the second smallest value? (a) q (b) 162 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -3*k. Let x be ((-3)\/3 + 5)\/k. Let v be (45\/25)\/(258\/60 + -4). Solve v*o - x*o = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 82.9, 2\/7 in descending order.\nAnswer: 82.9, 60, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 12) in base 14?\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 19 + 7 = 0. Let s = 0 + 0. Let g(t) = 9*t**k + s*t + t - 4*t**3. What is g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1717*d. Let t(g) = -27425*g. Calculate f(t(b)).\nAnswer: 47088725*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544131 a multiple of 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3324059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l**2 - 33*l. Let m(h) = -h**2 - 2*h. Let j(g) = -2*c(g) + 33*m(g). Let k(q) = 1 - 1761*q - 1769*q - 1 + 3551*q. Determine j(k(t)).\nAnswer: -1323*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/5 - 163*j**4\/5 - 431*j**3\/5 + 1559*j**2 - 1440*j = 0.\nAnswer: -160, -9, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63532, -63590, -63642, -63688, -63728, -63762?\nAnswer: -63790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 381, 5, 2, 24, 0.3, -0.17 in decreasing order.\nAnswer: 381, 24, 5, 2, 0.3, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363635, 727266, 1090897, 1454528?\nAnswer: 1818159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (78\/(-273))\/(2\/14). Let s(g) = -g - 6. Let n be s(-7). Sort n, 5, -1, o.\nAnswer: o, -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*v - 3, 2*o = 4*v + 356 - 332 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-2\/5)*m*((((m\/(m*m\/(m*m**5)*m))\/m)\/m)\/m*m)\/m*(m\/m**(2\/7)*m)**50 assuming m is positive.\nAnswer: m**(3091\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbapvbsdvbbbsbdbds. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 281*w + 21639. Calculate j(-77).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:56 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, 0, -8\/29, 1, -4\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 5*r + r**2 - 11*r**2. Let h(m) = -3*m**2 + 2*m. Let i(d) = 17*d + 656. Let g be i(-39). Give g*h(b) + 2*y(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.3655077223 - -0.0655089123. Let l = 20.3 + x. What is l rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113448.\nAnswer: 2, 3, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:46 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 19 = -4*l. Suppose -l*s - 2*s = -72. Calculate the greatest common factor of s and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 46*b**2 + 862*b - 23164. Calculate r(54).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + (-8)\/(-28) - (-517296)\/1092 is divided by 115?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/9 - (-3942)\/243. Suppose -4*z - f = 0, -4*h - 5*z = -892 - 652. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6615653*q*w**4 - 5*q*w**3 - 11*q*w + 2384444*q wrt w?\nAnswer: -79387836*q*w**2 - 30*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 485 and 194?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1191143030 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*g + 24, -6*a + 2*g = -7*a. Let f be (-2)\/(-4) - 471\/a. Calculate the highest common factor of 79 and f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**33*l))**(11\/3)*((l\/(l**(-3\/14)*l))\/l)\/l*l\/(l\/(l*l**(1\/27)))*l*l)**(3\/13) assuming l is positive.\nAnswer: l**(-46651\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -616125.2056 rounded to the nearest 100?\nAnswer: -616100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.6, 3, -2 in ascending order.\nAnswer: -6.6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1299892*l**2 - 750097?\nAnswer: 2599784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102286993290 minus -0.03?\nAnswer: 102286993290.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 4. Let g = 59 + -62. Let s(y) = -4*y - 5. Give g*b(u) - 2*s(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 25 = 45. Let m(s) = s + 1. Let o be m(9). Calculate the highest common divisor of o and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1621, -50, -1, 4 in descending order.\nAnswer: 4, -1, -50, -1621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11763*z + 11750*z + 83460 = 0. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 29 = 3*q - 120, 0 = 4*q + l - 202. Suppose -27 = -3*k + q. Let a = k - 26. Solve a - 1 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.835, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5, -2\/7, 5356, -6.1 in increasing order.\nAnswer: -6.1, -2\/7, -2\/9, 5, 5356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(4*sqrt(128)).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1338625.2 from 29605.\nAnswer: -1309020.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 1190, 2665, 4720, 7349, 10546, 14305, 18620?\nAnswer: 23485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, -13, -3092 in decreasing order.\nAnswer: -5, -13, -18, -3092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/(9 + 1 - (9 + 2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 11. Let p be 9 + (3 - i) + -4. Calculate the lowest common multiple of 3 and 2*(3 + p\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.43197 * 0.59\nAnswer: 0.2548623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**12*y))\/y*y\/y**(-1\/4))\/((y*(y\/(y\/y**4))\/y)\/y)**(4\/15) assuming y is positive.\nAnswer: y**(-251\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*l - 6*l - 2*n, 4*l - 46 = 3*n. Let o(b) = b**3 - 11*b**2 + 14*b - 13. Is 9 a factor of o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, -2.\nAnswer: -18, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 9*m - 2. Let x be z(-2). Solve 0 = 4*b - 4 + x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13\/5, 75, 0, -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.888 to one dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114057.\nAnswer: 3, 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - a - 1. Let x(h) = -5*h**2 - 4*h + 4. Let y(g) = 4*s(g) + x(g). Let p be y(-8). Let t be p\/((0 - 1) + -2). Solve b + t = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**2 + 2*c + 1. Let y be l(-1). Suppose -4*a + 3*t = -3*a - 29, 5*a + y*t - 85 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.3 - -19.8. What is the nearest to 0.1 in l, -3, 5\/3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 - 93*b + 2. Let d = -674 - -643. Let l be w(d). Factor 52\/3*h**l + 1\/3*h**4 - 4*h**3 + 64\/3 - 32*h.\nAnswer: (h - 4)**2*(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmemmmmmem. What is prob of picking 1 e and 3 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 6:04 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.3, 20, -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.37 + -2.47. What is the fourth smallest value in 0, 4, 2, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 5*b**2 + 6*b - 5. Let m = -11 + 17. Calculate j(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3537 and -433?\nAnswer: 3970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*b = -5, -3*a + 10 = -5*b - 0*b. Suppose 3*y - 4*y - 3*r = -8, 0 = -y + r - 4. Let q = a + y. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121351 (base 6) in base 3?\nAnswer: -112201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (7 - (-11 + -2)) - (0 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 10) in base 3?\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Let b = 11 + -8. What is the closest to 1\/7 in b, 1\/6, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-10))\/(15\/(-50)). Let l(a) = a**2 + 5*a - 2. What is l(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 17*q**2 + 16*q**2 + q - 16.\nAnswer: -q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2 + (-21)\/(54\/(-513) + (-51)\/57).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1445323 - -5?\nAnswer: -1445314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68901 (base 15) to base 7.\nAnswer: 2554123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + 8 + -2 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 + 2*u**2 - u. Let a be x(1). Suppose -h - 2*b = 3*h - 4, 5*b - 10 = 2*h. Suppose -3*i + 4 = -i. Put h, a, i in increasing order.\nAnswer: a, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345996637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*3 - sqrt(187) - sqrt(187))\/sqrt(11) - (sqrt(17) - sqrt(204)\/sqrt(972)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1833766 and 299.\nAnswer: -548296034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6664*n**4 + 154*n - 1 + 4 - 6666*n**4)*(-n + 2*n - 3*n)*(4 - 8 - 2).\nAnswer: -24*n**5 + 1848*n**2 + 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 138.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r\/r**4)**(1\/27)\/(r\/((r\/r**(-12))\/r)*r\/(r*r**(2\/9)*r)) assuming r is positive.\nAnswer: r**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.19, 4\/9, -2\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:33 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, -3, -5 in decreasing order.\nAnswer: 15, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3056*d**2 + d. Let t be q(1). Suppose 9*j - t + 960 = 0. Is (j\/(-3))\/(9\/(-81)*3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: 1 - 6 - (-4 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - sqrt(98))**2 - (sqrt(64)\/sqrt(2))**2.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + 172. What are the prime factors of r?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 1.38 (c) -7944\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3997 (base 12) to base 6\nAnswer: -50311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 214170 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3\/7, -0.5, 9\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 325*p**2. Let n(x) = -x**2. Calculate n(z(w)).\nAnswer: -105625*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110325 (base 7) to base 16.\nAnswer: 4bae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*q + 595*q**3 + 48*q - 15*q**3 + 105*q.\nAnswer: 580*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from gavzzgnh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4018341*v. Let f(i) = -i**2. What is f(t(h))?\nAnswer: -16147064392281*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 77.13. Which is the second biggest value? (a) -1\/6 (b) t (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:40 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.18 (b) -2\/5 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 95*d**4\/12 - d**3\/2 + 2*d**2 - 22*d + 7. Does 4 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.0092719.\nAnswer: -0.00370876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 554 = 4*m, -2*g + 813 = 4*m + 261. Are 138 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 1. Let c be d(10). Let s = -22 - c. Is 79\/3 + s\/33 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z + 22. Suppose -z = 20*q - 16*q. Sort -3, 0, q, 2 in increasing order.\nAnswer: -3, q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 53*j**2 - 141*j + 27. List the prime factors of m(61).\nAnswer: 2, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 0 - (0 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7863 - -7865. Solve x = g - 13, -7*g + 45 = -x - k*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4938.\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.011 (b) 0.5 (c) 0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 337905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46812, -93616, -140420, -187224, -234028?\n\"Answer: -46804*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214)\/30 + ((-6532)\/(-690))\/71?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 4*o - 7. Let p(s) = -5*s**2 + 15*s + 28. Suppose 56 = -4*i + 48. Let y(w) = i*p(w) - 9*j(w). Calculate y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -15453?\nAnswer: 15447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -161, -169, -193, -239, -313, -421, -569?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 5*s - 4. Let r be z(-4). Let p(i) = -i**3 - 22*i**2 + 69*i - 30. Let c be p(-25). What is the greatest common divisor of r and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2964 and 5434.\nAnswer: 32604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 73*k**2 + 25*k - 1822. Give y(73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3021?\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.4. Let y = 0.13942 + 0.36058. Which is the biggest value? (a) j (b) y (c) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 791*g**2 - 1288*g**2 - 354*g**2 + (g - 3*g + 0*g)*(-g - 5*g + 4*g) - 4*g**2 + 4*g**2 - 2*g**2 to the form i*g**2 + a*g + m and give i.\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -7*d**5\/5 - d**4\/4 + 19*d**3\/6 + 9*d. Find the third derivative of f(h) wrt h.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831937?\nAnswer: 101, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 + 281. Let o be 2 + 144\/(-81) - 133\/(-9). Suppose 0 = -5*m + o, 3*w + m - f = 6*m. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.002525 and 2.\nAnswer: -0.00505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 13 = -3*i - 4*q, 25 = -3*i + 4*q. Let d = i + 3. Let x(y) = y**3 + 6*y**2 - y - 4. Let l be x(-6). Solve l*r + r + 15 = d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 31. Let o(i) = 2*i**2 + 15*i + 29. What is the tens digit of o(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1992*v**4 - 1313.\nAnswer: -7968*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 - 1 + f**2 + 43*f - 177856*f**3 + 177856*f**3 as n*f + i*f**2 + r*f**3 + h*f**4 + l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 955, 2185, 3907, 6115, 8803, 11965?\nAnswer: 15595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/15 + 4242574*z**2\/5 - 2545544*z\/3 = 0. What is z?\nAnswer: 0, 1, 6363860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 77. Sort -5, 3, y in ascending order.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1126.0000147 - 1126. Round t to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.59, -52, 3, -0.03.\nAnswer: -52, -0.03, 2.59, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + u**2 + 2*u**3 - 726 - 17*u**3.\nAnswer: -15*u**3 + u**2 - 726","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -175, -177, -181, -187, -195, -205?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -68)*1\/(-2). Let s = c + 37. Find the second derivative of -11*v - 3*v - 4*v**s + 4*v**2 + 16*v**3 wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(200) + -1)*6 - (sqrt(160) + sqrt(160) + sqrt(160)*-2 + sqrt(10))\/(sqrt(5) - 2*sqrt(45)).\nAnswer: -18 + 901*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(200) + 4 + sqrt(200) + sqrt(200) + (sqrt(200) - (-3 + sqrt(200)*-2 - sqrt(200))))*3)**2 + -4.\nAnswer: 7560*sqrt(2) + 88520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.1 + 19.1. What is the closest to y in -0.8, 0.4, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)*j)**(2\/49)*(j\/(j\/(j*j*j\/j**5*j*j)))\/j**(-1\/3))\/((j*j**(-2)\/j)**(6\/7)\/(((j\/(j**(-1\/3)*j))\/j)\/(j*j**(-1\/11)))) assuming j is positive.\nAnswer: j**(851\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r - 124*r + 13 + 48*r - 12 + 44*r.\nAnswer: 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 + 87*u - 264. Give b(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.393923 + 48450223?\nAnswer: 48450226.393923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 558 + 104. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g - 15. Let w be r(6). Suppose w = -4*u + 83. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sai when three letters picked without replacement from {a: 1, i: 5, s: 1, r: 7}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 - (-102)\/24. Suppose g*v - 29 = -a, -3*v - 9 = -6*v - 5*a. Let u(f) = 8 + 6*f - v. Determine u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48599 + 93873. List the prime factors of h.\nAnswer: 2, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -4*t - 5*h, -2*t + 2*h = 2 + 26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 4 - (-100)\/5. Let r be (u\/(-15))\/(3\/(-20)). Suppose -2*b - 2*b + r = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.53 + 6.47. Is 3 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418594919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 330 - -88?\nAnswer: 3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + n + 95, 2*n + 3*n + 5 = 0. Calculate the remainder when 295 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 11. Suppose -7*u - 44 + 16 = 0. Let x be u\/(-8)*2\/(-8). Put 0.5, r, x in descending order.\nAnswer: 0.5, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.50162984 take away -196079?\nAnswer: 196081.50162984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/15*(-9)\/(-6). Solve -4*w = 5*r + 7, 0 = -2*w - 7*r + c*r - 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1992?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5348993*h + 5348448*h - 65400 for h.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*-22*(-110)\/4356?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n - 162. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-720)*308 - (30\/8 - 3)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -41. Solve 3*n - 6 + l = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 6, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 115336115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 0.4. Let s = 0.09 - w. Let o = -0.162 - s. What is o rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -40 + 72 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - (-1*3 - -1). Suppose -2*g + 17 = -5*c, 7*g - 2*c - 11 = 2*g. Let s = g + v. Calculate the lowest common multiple of s and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -33. What is the smallest common multiple of 8\/(-40) + 41\/5 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 4:09 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199.0000091 + -199. What is u rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*v - 23*v - 12, 0 = -j - 2*v + 27. Solve j = -2*m + 23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 4877623, 18 in ascending order.\nAnswer: 2\/11, 18, 4877623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20011 + -3?\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703494 = 44*d + 154*d. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v + 4*v - 3*v - 8*v to the form n*v + z and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 3. Let n be m(-6). Suppose 2*o = 4*z + 130, 0*o + 238 = 4*o + n*z. List 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 units digit of 3 + -1 - (-113 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/240 and 109\/1080840.\nAnswer: 2161680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g - 19*g + 104 = 0. Let y(b) be the first derivative of 9*b**3 + 6*b - 15\/4*b**4 - 21\/2*b**g - 12 + 3\/5*b**5. Factor y(m).\nAnswer: 3*(m - 2)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r + 5. Let s(y) = -12*y - 11. Determine -10*l(w) - 6*s(w).\nAnswer: 2*w + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -10, 1 in decreasing order.\nAnswer: 5, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806241149?\nAnswer: 7, 23, 31, 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, m: 4, t: 5}. What is prob of sequence kmm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/13 < 208388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322411868 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 273254 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*q + 3*q, 5*q = -t - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*-6*(-6)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 159457 = 4*x, 20*b + 212537 = 24*b - 5*x. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 175, 0.24, -3\/8, -406?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 287600000 rounded to the nearest one million?\nAnswer: 288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -11. Let f = i - -14. Suppose -l = -2*l + f. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94.7 + -987025.\nAnswer: -987119.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2 - -16) + 41 + -83\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169098 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) 31778\/7 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 239074 and 334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - ((2 - (81 - 67)) + (-1 - -17))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((15\/2)\/5)\/4. Let w = 18 + -17.97. What is the third biggest value in q, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 6930.\nAnswer: -6923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -6, 1\/3, 2\/3, 0, 2\/73, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 7:02 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 95 = -255. Let v = i + -68. What is the third derivative of 6*t**v - 26*t**4 - t**2 + 15*t**2 wrt t?\nAnswer: -624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 365*d*f**2 - 113*f**2 wrt d.\nAnswer: 365*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 11335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5205 - 2631?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*v**5 - 3*v**4 + 50700*v**3 + 185446*v**2 - 31.\nAnswer: -2280*v**2 - 72*v + 304200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467248790 to the power of 1\/3, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/(-2*(-4)\/(-144))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 8*s**2 + 4*s - 2. Let b be f(5). Let a = b - -86. Let x = -20 + a. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8468325320 rounded to the nearest 100000?\nAnswer: -8468300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1 + 3 - 2 + 17*b. Let y be (6\/(-5))\/((-228)\/80 + 3). Let d(l) = -12*l**2 - 5. Let t(n) = 19*n**2 + 8. Let u(k) = y*d(k) - 5*t(k). Give u(f(r)).\nAnswer: 289*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (2 + 0))\/((-6)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -18, 2.\nAnswer: -18, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 33. Suppose -m = -2*q - 4. Suppose -q*d + 33 + 27 = 0. Solve -7*p + d = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 779?\nAnswer: -1\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -30, -54, -88?\n\"Answer: -5*v**2 + v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 5*z**2 + 0*z**4 + 8 - 3\/5*z**5 + 0*z + 0*z**3. What is the second derivative of l(f) wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2\/2 - 1625*j\/2 - 49000.\nAnswer: -5*(j + 80)*(j + 245)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 156 = 3*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -4, -6, 1, -3.\nAnswer: -124, -6, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3961 divided by -233.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -1.1. Let u(i) = -65*i**3 - 11 + 28*i**3 - 14*i**2 + 36*i**3. Let d be u(-14). Sort k, d, 0 in increasing order.\nAnswer: d, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3405741, 3405740, 3405739, 3405738?\n\"Answer: -h + 3405742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b + 1. Is -5 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556886496 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: Suppose 4*j = 8, -3*y + 104 = j - 66. Let m = 180 - 164. Calculate the highest common factor of y and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/26 + 558\/78. Let d(x) be the third derivative of 0 + 7\/60*x**5 + 1\/24*x**4 - 1\/120*x**6 + 20*x**2 + 2\/3*x**3 + 0*x. Determine d(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 13 + 9)*(-t - 2*t - 2*t).\nAnswer: -445*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*k**3 + 2687*j**2*k**2 - 98*j*k**3 - 2*j*k**2 - 6*j*k + j + 1206*k**3 wrt k?\nAnswer: 6*j**2 - 588*j + 7236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 8*r. Suppose 0 = -242*h + 266*h - 192. Calculate u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -12*p**5\/5 + 5*p**3\/3 - 3*p - 68. What is the third derivative of d(s) wrt s?\nAnswer: -288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 417559200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 9091 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 998.3963ng?\nAnswer: 0.0000009983963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (3 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -626, -2532, -5712, -10166, -15894, -22896?\n\"Answer: -637*n**2 + 5*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {d: 5, c: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -20. Suppose v*k - 15 = -k. Suppose 14 = k*m - 25. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 6*c + 3. Let d(a) = a + 2. Let s = 0 - -4. Let q be d(s). What is the units digit of o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 0 - 1)*(13515 - 13518 - 30*x**2 + 69*x**2) in the form k*x**2 + q + a*x and give k.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 2*k - 30. Let q be t(-7). Solve -3 + 13 = -q*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5664657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 347 = 23. Let c = 108 - q. Let u = 73 - c. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24\/3 - (-1972)\/17 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 4*g - 23)*(-11*g + 11*g + 3*g**4) - 2 + 2 + 3*g**5 + (g**3 - 2*g**3 + 2*g**3)*(-g**2 - 2*g**2 + 2*g**2) + 0*g**5 - g**5 + 0*g**5.\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*(-380)\/1615)\/((-1)\/((-2)\/5))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(180)*4 + sqrt(180))**2 - (sqrt(180) + 3)*1.\nAnswer: -306*sqrt(5) + 4522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 = -3*a - 15, 5*a - 3*p - 6 = 0. Let r = 11 + -9. Differentiate 2 - j**r + j**2 - j**a wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*u - 108, -18 + 146 = w + u. Let z = 323011\/20 + -16146. What is the common denominator of ((-6)\/8)\/(42\/w) and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1339, -5379, -12199, -21871, -34467, -50059, -68719?\nAnswer: -90519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25813\/5 - 5163. Let u be 12\/9*4\/(-6)*-9. Sort w, u, -1 in descending order.\nAnswer: u, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54530? (a) -0.2 (b) 0.5 (c) -4\/11 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*w + 110*w + 31*w.\nAnswer: 328*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 10111011111110001?\nAnswer: -10111011111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnxr when four letters picked without replacement from mrmmnmxrxrxmnxmxm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 2\/38015 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:00 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 403, 751, 1229, 1837, 2575, 3443?\nAnswer: 4441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1234*y**3 - 184*y wrt y.\nAnswer: -7404*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/330 + 919*v**4\/66 - 41*v**2 - v - 59. Factor n(i).\nAnswer: -2*i*(i - 1838)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*m - 19*m - 13*m + (-m - 3*m + 3*m)*(1 - 2 + 0 + 0 - 4 + 0 + (-2 - 1 + 4)*(-2 + 1 - 1) + 0 + 3 - 1).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-9)\/16)\/(2\/(-8)))\/((-450)\/(-984000))?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 4022?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 829 - 727 - 2*u to m + v*u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:35 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 112\/24*3\/(-2). Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -427 + 410. Let j = -1.1 - -2.1. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093969351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 801849.16 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70348*w + 70351*w + 138 = 0. Which is smaller: -43 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.08986 months to centuries.\nAnswer: 0.01674155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*g**2 - 9407*g + 9407*g + (-g**2 + 3*g**2 - 3*g**2)*(-4 + 1 + 1) + 4*g**2 - 6*g**2 - 4*g**2 as d*g + i*g**2 + z and give i.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 257080 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.191 times 0.2?\nAnswer: -0.0382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-3)\/6)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6*s**2 + 10*s + 3. Let t(l) = -l**2 - 2*l. Let c(w) = 4*t(w) + x(w). Determine c(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-15)\/(-17) + -1). Let p = 1.3 - 0.3. Let v = p - 1.1. What is the closest to v in -4, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 1630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97931*s**3 + 21*s**2 - 4*s - 333645295?\nAnswer: 293793*s**2 + 42*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, q: 11}. Give prob of picking 3 q.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 211112 divided by -44\nAnswer: -4798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 794372.6 millennia?\nAnswer: 79437260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*n**4 + 7*n**4 + 4*n**4)*(0*n - 3*n + 4*n) + 7*n**5 - 34*n**5 - 8*n**5)*(0 + 5 - 6) - 2*n**5 + 2*n**5 + 4*n**5.\nAnswer: 33*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 8 = -11*h. Let z(i) = -i + 65. Let d be z(32). Put 1, d, h, 3 in increasing order.\nAnswer: h, 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Let q be 2 - (m - (2 - 2)). Suppose 3*t - 2 - 4 = q. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 908.9284571 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susscunvccuulu. What is prob of picking 1 u and 1 n?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118991 is divided by 607.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 + 60. Does 10 divide r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(96) - (sqrt(96) + -3*(sqrt(96) - 3*sqrt(96))))\/((sqrt(8) + sqrt(800))*-6) + 4)**2)*-6.\nAnswer: -11688\/121 - 96*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.057+-4.8\nAnswer: -4.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1. Let g(b) be the first derivative of -b**2 - 7*b - 1. Let k be 70\/(26 - 12) - 6. Give k*g(v) - 5*p(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7461 + -0.3462. Let h = a - 0.4. Round h to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 881 - 733. Which is smaller: m or 149?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 70. Let o be (9\/i)\/(6\/(-128)). Calculate the highest common factor of o and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90250000 to the nearest 1000000.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**2 - 19*i**2 + 6*i**2. Let y(x) = 4*x**2 + 9. Let h(f) = -f**2 - 2. Let j(t) = 9*h(t) + 2*y(t). What is j(r(u))?\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 0.6168789.\nAnswer: 12.337578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1954 + 878. Let q = -2180 + l. Is (-1)\/(-5) - q\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853516337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10037 - -10116. What is the remainder when 1652 is divided by j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20271, -20432, -20593, -20754, -20915, -21076?\n\"Answer: -161*x - 20110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*d = t - 3, 82*t - 124*d + 121*d = -392 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 28*m**2 + 2*m + 28. Let y be b(-14). Solve y = -2*t - 3*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2382)\/(-8) - (-48)\/(-64). Suppose -5*u = -103 - y. Suppose 4*j = z - 1 - 1, -4*z + 5*j = -30. Calculate the greatest common divisor of z and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51122 (base 11) to base 6.\nAnswer: 1333425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(315) - -4*sqrt(875))\/(-2*sqrt(225)\/sqrt(5)).\nAnswer: -29*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 340*m**2*u**5 - 42*m**2*u - 11*m**2 - 51287*u**2 - 6241 wrt u.\nAnswer: 6800*m**2*u**3 - 102574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1440173152 + 0.10764.\nAnswer: 1440173152.10764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 4*m)*(-12 + 3 + 0)*(28*m + 5*m - 2*m).\nAnswer: -279*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16072092*c**3 - c**2 - 11033880 wrt c.\nAnswer: -96432552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60939 by 20313.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -23*f + 21*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*i**2 + 474*i**2 - 1103*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -92. Suppose 2*j - 2*r + 68 = 304, 3*j = g*r + 359. Suppose 5*z - j = 17. Solve p = -4*p + 3*a + z, 5*a - 2 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-6\/7)*s*s)\/s)*s**(-6)\/s)\/(s**(1\/9)\/(s\/(s*s\/s**(-2\/17)*s))))**18 assuming s is positive.\nAnswer: s**(-17932\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*k**2 + 2067*k - 990*k + 55*k**2 - 1077*k.\nAnswer: 121*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.125 + 1.125. Let d = -28.215 - -0.215. Which is bigger: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (55\/(-30) + (-4)\/(-12))\/((-29008)\/2624 - -11). Factor i*w + 28 - 2\/3*w**2.\nAnswer: -2*(w - 42)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 27*d + 91. Determine j(13).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*n + 27. Let m be 12\/n*26\/(-3). Let x = 23 - m. Solve j = -j + x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -1 (b) -7 (c) 1 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -189950865, 3 in ascending order.\nAnswer: -189950865, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1511*t + 10580. Determine d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 8) to base 12\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 4}. Give prob of picking 3 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3362*j + 2960*j + 2216*j.\nAnswer: 1814*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(10)*-1))\/(sqrt(6) - (sqrt(18) + sqrt(72))\/sqrt(3)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 7:29 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474079124 to the power of 1\/3, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -213 + 15714*p**3 - 7857*p**3 + 376*p - 7858*p**3 wrt p.\nAnswer: -3*p**2 + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -5. Suppose r*h - 12 = -4*x, x - 2*h - 6 = -x. Let i(f) = -x*f + 7 - 7. Let z(p) = p**2. What is i(z(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*w**2 + 5 - 21*w + 43*w - 23*w + 7.\nAnswer: -88*w**2 - w + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13600462 divided by -1\nAnswer: 13600462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (5 - 4)) + 49 + -88 + 13\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 21. Let w(g) = g**3 + 6*g**2 + 3*g + 4. What is the smallest common multiple of w(-3) and h(-13)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 4:10 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47309, 190302, 428627, 762284, 1191273, 1715594?\n\"Answer: 47666*d**2 - 5*d - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-145)\/(-290))\/(13\/2)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by ((-711)\/(-18))\/(-7 + (-60)\/(-8)).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + f**3 + (-2 + 3 + 0)*(4*f**3 + 6*f**3 - 2*f**3).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 25121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 2772.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 18. Let t be q(7). Suppose -t*z + 4*g + 9 = -0*z, 2*z = -4*g + 26. Solve -z*u - 4 - 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000902 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*v - 187. Suppose v = 17*b - 18*b. Let g = b + 110. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/5)\/(p**(-2\/5)*p*p) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**5\/5 - 7308*t**4 - 150388*t**3 - 452208*t**2 + 3435840*t - 7928064\/5 = 0. Calculate t.\nAnswer: -12, 1\/2, 3, 4588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7. Let f(t) = -t**2 + s*t - 1 - 5*t - t. Calculate f(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11804215?\nAnswer: 5, 2360843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-635*z - 2185*z - 1281*z + 828*z)*(-21*z + 7*z**3 + 21*z).\nAnswer: -22911*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 837\/558*-1*74\/(-3). Solve -3*v = -t - 0*v - 17, -3*v = -5*t - x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j = 2*x + 3, -7 = j + 2*x. Differentiate s**2 - 2*s**2 - j - 2*s**2 + 4*s**2 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 721\/2145 + -2\/715. Which is the closest to -0.1? (a) 1 (b) -3 (c) p (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-455)\/(-1547)*11\/(-1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74680, 149385, 224088, 298789, 373488, 448185, 522880?\n\"Answer: -c**2 + 74708*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from rrrrwrrwrrr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 37135971*k.\nAnswer: -3*k*(k + 12378657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -4085229\nAnswer: -2\/4085229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-10)*(-156)\/(-52). What is the nearest to 16 in 4\/9, -7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.8 - -2.8. Let o = 27.996 + l. Round o to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -25*l**4 + 55*l**3 + 60*l**2 - 110*l - 30. Let g(s) = 8*s**4 - 18*s**3 - 21*s**2 + 37*s + 9. Let f(c) = 10*g(c) + 3*t(c). Factor f(y).\nAnswer: 5*y*(y - 4)*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-436)\/208 + -3. Let g = 4\/13 + l. What is the third biggest value in g, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5845 divided by -3.\nAnswer: -5845\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 21*i**2 - 11*i - 2. Suppose l = -5*u - 31, 3*u = 1716*l - 1720*l - 56. Give m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1\/2, 74, 0.1 in ascending order.\nAnswer: -10, -1\/2, 0.1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2690 + -2429. Calculate the least common multiple of d and 30.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 19*f**2 - 4*f**2 + 35 - 14*f**2.\nAnswer: -37*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168 - -213. Let c = -45.0000116 + n. Round c to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 229*(-10)\/(-18)*-1. Let r = 127 + y. Let d = 4.04 - 0.04. What is the closest to -1 in d, 2\/17, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 6*l - 5*l)*(1 - 1 - 4*l**2) + (-2*l + 2*l - 3*l**2)*(l + 3*l - 5*l).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.739*0.3\nAnswer: 0.2217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1082672 and -0.2.\nAnswer: -216534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753459 is divided by 21522?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 3:47 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 71 * 44835\nAnswer: 3183285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/4 + 7467*m**2\/2 + 55756089*m\/4 = 0. Calculate m.\nAnswer: -7467, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1434*r**5 + 27641*r**4 + 21056874*r**2 + 3*r wrt r.\nAnswer: 86040*r**2 + 663384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12827*a - 3424*a**3 + 12827*a + (0 + 0 - 2)*(2*a**3 - 8 + 8) as l*a + y*a**2 + g*a**3 + z and give g.\nAnswer: -3428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127328676 a multiple of 1524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l. Let x(f) = f - 6. Suppose 2*d = d + 5. Let c be x(d). Calculate q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2733 - -82.4567. Let p = h + -84. Let r = 1.269999901 + p. What is r rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*f**3 + 88*f**3 - 11*f**3 + 821*f**2 + 1 to i + p*f**3 + w*f**2 + c*f and give w.\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881943139?\nAnswer: 7, 11, 1297, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12014, 47967, 107756, 191273, 298410, 429059, 583112?\n\"Answer: -18*p**3 + 12026*p**2 + p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 12. Let v be 66\/(-14) - (-6)\/y. Put -1, 3, v in descending order.\nAnswer: 3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0*m**4 + 0*m**5 - 8*m + 1\/10*m**6 + 46*m**2 - m**3 + 2. Differentiate l(c) wrt c.\nAnswer: 12*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 19. Let a be t(-11). Solve u + 2 = a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 + 6*c + 9. Let p be j(-8). Suppose 0 = -8*h - 7 + 23. Solve y = 4*b + p, -3*b - 4*y = -h*y + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) 3 (d) 5 (e) -1\/30 (f) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24 + 266e8c?\nAnswer: 266eb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 6*b - 5. Let y be w(-5). Let k be (-80)\/(-960) - 1\/12. Factor 0 + 1\/2*l**4 - 1\/2*l**3 + y*l + k*l**2.\nAnswer: l**3*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 4, 6, -1.\nAnswer: -2, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297645307.\nAnswer: 297645307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68, -89, -132, -203, -308, -453?\n\"Answer: -m**3 - 5*m**2 + m - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10953, 21885, 32817, 43749?\n\"Answer: 10932*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3321745 grams to milligrams.\nAnswer: 332.1745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -3. Let t = 11301 + -11301. Solve 4*m + b*a + 28 = t, -3 = a + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j*o**4 - 77*j*o**2 - 130*j*o + 243*j + 126*o**4 - 5 wrt o?\nAnswer: 36*j*o**2 - 154*j + 1512*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 5 + 29)*(-2 + 2 - y).\nAnswer: -41*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 3*y**3 - 4*y**3 + 29*y**2 - 6*y**3.\nAnswer: -3*y**3 + 29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1407 divided by 67\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9)*t*t**0*(t\/(t**1*t))**(-37))**(-46))**(-13\/4) assuming t is positive.\nAnswer: t**(8671\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 12*j. Suppose 3*h = 2*m - 8, -2*h - 4*m + 13 + 3 = j. Suppose -3*z = -h*y + 2*y - 28, y - 2*z = 7. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nffefqenoqownnnewnfe. What is prob of picking 2 q and 1 f?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 - 2*i**3 + 2*i**3)*(i + 0*i + i) - 25*i**4 + 22*i**4 + 3*i**2 - 23 - 297 to g*i**3 + a*i + s*i**2 + m + y*i**4 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21526886 by 525046.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277380719.\nAnswer: 3, 29, 53, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 41 = 2*t + l, -2*t + 4*l + 34 = 0. Suppose 0 = -4*q + t - 3. What is the nearest to -1 in -3, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8 (b) 1092 (c) 6 (d) -4 (e) 0 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-28) - 76\/(-14). Suppose 298 = i*j + 2*k, -4*j - k = -0*j - 236. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*q + q - 756 = 0, 945 = 5*f - 5*q. Let j be (-28)\/8*(-29 + 23). What is the greatest common factor of f and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1515579 + -1041.9794421. Let q = -1041 - f. Round q to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 - 147704*m + 17633420 = 0. What is m?\nAnswer: -37045, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 < 647\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 58612081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - 4*c**2 + 4*c**2)*(0 + 2*c + 0) + 45 + 19*c**4 - 35*c**4 + 13*c**4.\nAnswer: -7*c**4 + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (423\/(-282))\/((-3)\/15690)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*v**3 + 37*v**3 - 34*v**3)*(4*v**2 - 2*v**2 + 0*v**2) + (-2*v**3 - 4*v**2 + 4*v**2)*(v**2 - v**2 + v**2) + 5*v**5 + 5*v**5 - 5*v**5.\nAnswer: -251*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*p - 3*p + 0*p)*(667*p + 1491*p - 420*p) + 4*p**2 - 2*p**2 - 3*p**2)*(-1 + 0 + 3).\nAnswer: 10426*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*z + 313, j - 2*j - 311 = -5*z. Suppose -y + d = 4*y - 141, -2*y = d - z. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/37 + -95\/259. Which is bigger: x or -0.9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480\/7*s**2 + 512 + 2432\/7*s + 8\/7*s**3 - 4\/7*s**4 = 0 for s.\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5374, -5376, -5378?\nAnswer: -5380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*s + 90, -4*s - 334 = -4*z - z. Let y = -279\/4 + z. Which is the second biggest value? (a) 0.4 (b) -2 (c) -1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33849688?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10143, 10142, 10139, 10134, 10127?\nAnswer: 10118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/5, -3, 3 in ascending order.\nAnswer: -3, -2\/5, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = -9. Let g be 2\/1 + (-4)\/3. Is g > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {m: 2, b: 3, i: 1, h: 2, z: 1, x: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 14*f**2 - 3*f - 23. Let l be r(-14). Suppose -20*s = -l*s. Solve -2*j + 3*m - 22 = s, 4*j - 3*m = -8 - 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244222837?\nAnswer: 4243, 57559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 10801*d - 10802*d = 3 + 1, 4*n + d - 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5022 and -3766904676.\nAnswer: -3766899654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -2.1. Let r = -0.7 + f. Let w = -22.71 + 19.71. Which is the second biggest value? (a) r (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 2746080?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 13. Let f(p) = p - 52. Let o(l) = f(l) + 4*r(l). Let j(y) = 177*y. Determine o(j(i)).\nAnswer: -531*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2378*n + 7127. What is u(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376.03 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36435, -73098, -109761, -146424, -183087?\nAnswer: -219750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24966697 or -24966712?\nAnswer: -24966697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*(-1*sqrt(102) + sqrt(102) - sqrt(102)) - sqrt(102)) + sqrt(102))\/sqrt(6).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 6*h + 13374. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 - 171. What is the third derivative of -2*n**2 + 2961*n**3 - 17*n**5 - 2961*n**3 - b*n wrt n?\nAnswer: -1020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -61 (b) 31 (c) 4 (d) 19\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2268 by 76.\nAnswer: 567\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) + (-4 - (-40)\/(-15)). Let g be (-1 - x - 5)\/(-2 + 3). Let k(n) = 2*n**2 - n - 3*n**2 + 0 + 3. Determine k(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 8 = 2*d, -4*s - 4*d = -329 + 337 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 33 = 2*g, -b + 8 = 3*g - 9. Suppose 7*j - 4*j = 3. Calculate the remainder when 44 is divided by 30*(2\/g)\/j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3925*f = 683*f - 145890 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 93\/(-15) + 4\/20. Let n(k) = -2*k**3 - 7*k**2 - 3*k + 8. Let s be n(o). Calculate the greatest common divisor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304192 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/900*6*(0 - -2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 1 + 15\/14*y**4 + 0*y - 6\/35*y**5 + 0*y**2 - 8\/7*y**3. Find n such that u(n) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let n = -51 - -39.5. Let u = n - -12. What is the third smallest value in u, 0.4, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 4 = 0. Suppose 0 = -4*j - s - s - 138, -144 = 4*j + n*s. What is the tens digit of (-110)\/33*j\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*1)**2 + (sqrt(2) - sqrt(8)*-6)**2 - (0 + sqrt(20)\/sqrt(10) + -3)**2.\nAnswer: 6*sqrt(2) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven quarters of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 1005.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 166, 362, 564, 778, 1010, 1266, 1552, 1874?\n\"Answer: w**3 - 3*w**2 + 198*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 74747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 158. Solve -a*p + 7*p = 2*i - 5, i = 3*p + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i**2 + 15971*i**3 - 3 - 42*i + 3 - 15968*i**3.\nAnswer: 3*i*(i - 7)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11732 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-14))\/(18*(-4)\/(-84)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 - 203. Let g be 2 + 6\/(-8)*2*-2. Solve k*i + 7*l - 2*l = 19, g*l - 25 = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: What is -330 plus 17411.973?\nAnswer: 17081.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 0*t**2 - 443*t**3 + 199*t**3 - t**4 + 891*t**3 - t**2 + 588*t**3 in the form r*t**3 + n*t**4 + o + c*t + i*t**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 11*j - 12650 = -16*j, 4*q - 3*j - 10106 = 0. Suppose 7*f - 1812 = q. What are the prime factors of f?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(-5 + sqrt(1573)*-2) + (sqrt(1573) - (1 + sqrt(1573) + 1*sqrt(1573))) + sqrt(1573) + sqrt(1573) + 0 + -2)**2.\nAnswer: 1848*sqrt(13) + 77221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 11*z + 11. Let q be r(5). Let u be (q\/(-4))\/(((-234)\/264)\/13). Calculate the highest common divisor of 55 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33590267 to the power of 1\/2, to the nearest integer?\nAnswer: 5796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1053)*-2*-4 + -2.\nAnswer: -360*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00361648492 to 5 decimal places.\nAnswer: 0.00362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 0 - 2 + 3 + 0. Let k be r(-3). Calculate the greatest common factor of 50 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*x = 2*n + 2, 3*x = 12. Let d(p) = 4*p - 1. Let v be d(n). Suppose -2*t = -14 - 32. What is the highest common factor of t and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:11 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - -4 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 60406?\nAnswer: -3\/30203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 131*n - 127*n + 10884, -4*n + 8163 = 3*s. What are the prime factors of s?\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 23*t - 77 + 64. Solve t*f - 4 = 18*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005964148 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(294)\/sqrt(6))\/sqrt(7).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 29*s**2 - 2003*s - 31293. What is b(-16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 86827.\nAnswer: 5\/86827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1161, 2288, 3429, 4584, 5753, 6936, 8133?\n\"Answer: 7*r**2 + 1106*r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21978)\/(-89540) + ((-1)\/(-6))\/((-10)\/(-18)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -11 - (2 - (0 - -8)) - (41 - 89)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/3 - v**2 + v + 2. Let k be s(1). Solve k = -5*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72459758 divided by 14\nAnswer: 5175697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3955181 + -2396875. Suppose -j - o = -5*g - 4591163, 2*g + 15164400 = 5*j. Let m = j + -1992882. What is m rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) -901 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 194*z - 392 = 0. Calculate z.\nAnswer: -196, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:10 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (442\/(-91))\/((-2)\/14).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114317*w - 228535*w + 114227*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 591247 and 2472889?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 7*x**3\/6 - 5*x. Let z(n) = 2*n - 1. Let t(r) = -11*r + 4. Let k(f) = -3*t(f) - 12*z(f). Give k(i(c)).\nAnswer: 63*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 1 + 0 + sqrt(612) + -2*sqrt(612) + 3)*1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 + 295*i**2 + 2720*i - 52020 = 0?\nAnswer: -34, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 31 + 3*z)*(2*z - 3*z - 4*z).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -243003111331?\nAnswer: 243003111341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:37 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 6 + 1 + 5.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 276137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24785 times -1?\nAnswer: 24785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 1.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u - 27. Let c be z(-8). Suppose 0 = 4*f - c*m - 22, -4 = m + m. Solve -7*k = -6*k - f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxxxyykkkyyykxxyy. Give prob of sequence xxky.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24733 - 10?\nAnswer: 24723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2 + 30. Calculate the smallest common multiple of v and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13570 - 13555.7. What is the second biggest value in -8, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 69*h + 2904. Let z(t) = t**2 + 2*t - 1. What is the lowest common multiple of a(-42) and z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -0.3 (c) 3\/5 (d) -2\/37 (e) -868\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 658 + -661. What is the second biggest value in 4, l, 227?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, i: 4, m: 2}. Give prob of sequence mm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1 - -1)\/(1 - 2). Let z = -8 - -5. Let d = z + 7. Solve 3*m - 24 = d*c, n = -2*c + 1 - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/8 (b) -1 (c) 0 (d) -8\/17 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 185 = -131. What are the prime factors of t?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -5.9. Let g = -0.3 - -1.3. Let y = w + g. Which is the second biggest value? (a) 1 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1523 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*b - 22, -3*b - 23 = -20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38580 divided by 2?\nAnswer: -19290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -645*d - 19. Suppose 0 = -116*n + 100*n - 32. What is the thousands digit of s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**8*q*(q**8*q)\/q assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 204*x - 156. List the prime factors of w(7).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = m, 4*x - 1 = -2*m - 3*m. Let i(j) = -1. Let o = -503 + 502. Let d(c) = 2*c + 2. Give o*i(h) + x*d(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqm when three letters picked without replacement from dqmmmmqmqmqmmdmqq.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10774801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 149*j - 89. Let l(d) = 2*d**2 - 149*d + 94. Let x(u) = -4*i(u) - 3*l(u). Factor x(b).\nAnswer: (b - 74)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(-3)\/12*37. Suppose 0 = -2*a + 252 - u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 0*f**3 + 2 - 108*f**2 + 55*f**2 + 55*f**2. Let x = 17 - 14. Suppose -2*o + 10 = x*r, 0 = -2*o + 2*r - 0*r. What is s(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*sqrt(30)\/sqrt(6).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 + 1 + 1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26596126, -53192278, -79788430, -106384582?\n\"Answer: -26596152*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 1. Let w(q) = -6*q + 3. Let m(v) = 7*b(v) - 4*w(v). What is the least common multiple of m(5) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4 - 34*r**3 - 289*r**2 = 0. What is r?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(684) - 2*sqrt(684)) + 1*(sqrt(684) - sqrt(684)*2))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.919712 micrometers to meters.\nAnswer: 0.000001919712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -167*l**3 + 2*l**2 - 10*l - 18. What is the hundreds digit of j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 p when three letters picked without replacement from {p: 3, e: 2, q: 1, r: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -607771 at least as big as -5469934\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1986 + 7436 = 10*v. Let d = v - 250. Is 59 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = w - 45*u + 46*u, -7 - 2 = -3*u for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1376*d - 1437*d + 61. Is d < -6\/241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640169 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1009, 1012, 1017, 1024, 1033, 1044, 1057?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 f when four letters picked without replacement from {f: 4, r: 4, h: 6, d: 3}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 + -108. Suppose 82 - 78 = 2*v. Suppose -4*l + 2*t + 72 = 0, -4*t = v*l - t - 28. Calculate the highest common divisor of a and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/12 - 11*h. Let z(t) = 2 + 1 - 1 + 9*t**2 - 7. Let w(x) = 10*x**2 - 6. Let p(i) = 5*w(i) - 6*z(i). What is p(o(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**3 + m**4 - 7*m + 2*m**4 - 17 + 2*m**2 + 7*m**3 + 6*m - 3*m**2 to the form r*m**4 + l*m**2 + k*m**3 + p + g*m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4427 or 0.1?\nAnswer: -1\/4427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-24)*-8 + (10251 - (6 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 9795*p\/2 - 11858332.\nAnswer: -(p - 5416)*(p - 4379)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/9 and 23\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*w - 4*x - 13, -4*w + 30 = -5*x. Suppose -35 = -0*n - 3*n - w*i, n - i = 9. Let v = n - 4. Let y(a) = a - 7. What is y(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyv. Give prob of picking 1 v and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*h - 702 - 19860 = 0 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*m - 283*m - 68229 = 11*m for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2495.663 nanograms in micrograms?\nAnswer: 2.495663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 392*i + 1195. Let x be k(3). Let u(n) = -80*n**3 + 2*n**2 - n. What is u(x)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 248 (b) -2\/17 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10182473881 and -2.1.\nAnswer: -10182473883.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-12))\/((-40)\/(-150))*(-6)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2328007 and 11160?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6 + (-21)\/6. Is 31*(-3 + 9 + w) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*n - 924, n = u + 4*n - 238. Suppose 14*f - u - 684 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0489 + 0.1789. Which is the biggest value? (a) -1\/2 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28*((-1 - 2) + 4). What is the greatest common factor of 70 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*p - 6. Let d(u) = -u. Let l(j) = -j. Let v(n) = d(n) - 3*l(n). Let k(a) = 2*a - 1. What is p*v(c) - 2*k(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-4.3955.\nAnswer: -1.7582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22865 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171482\/9 - -19054. Which is bigger: 863 or g?\nAnswer: 863","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 120 = 26*v. Solve 3*x - 4*m = v, 0*x - 2*m - 6 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - 0.3. Let o = 0.18 + -9.18. Let l = 5 + o. What is the biggest value in h, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 + 3*g**3 - 5*g**3 + (g - 2*g + 3*g)*(-4 + g**2 + 4))*(4 - 411*g + 201*g + 205*g) as j + o*g**4 + a*g**3 + h*g + b*g**2 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1135 in -1, -3, -6\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 472?\nAnswer: 15576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w + 17. Let m be o(9). Suppose j - 1 = m. Suppose 4*s - j*s = 0. Solve -5*t - d - 8 = s, -5*t - d = -2*d + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + l**4 - l**4)*(1 - 9 + 0)*(2 + 0 - 3).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46964\/(-622273) - (-4085)\/53?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.39 and -214.04?\nAnswer: 297.5156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130684*z = 65351*z + 65254*z - 6715 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 + 7*x. Let u(l) = 4*l**3 - 8*l. Let y be 60\/9 + (-8)\/12. Determine y*a(p) + 5*u(p).\nAnswer: 2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*a**4 - 19*a**2 - 2*a - 32804.\nAnswer: 276*a**3 - 38*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(140\/(-36)) - (-23302)\/(-854). Let s(u) = -u**2 - 29*u - 9. Determine s(h).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -137?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/21))\/s**(2\/5))\/(s**(-4\/5)\/((s*s**3)\/s)) assuming s is positive.\nAnswer: s**(472\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(2 + (-4)\/3). Suppose 5*d = 12 + g. Suppose -3*q + 14 = -5*q + 5*k, q + 4*k - 19 = 0. Solve 6 + q = d*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (310\/(-16))\/31*(-4)\/(-1)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2745 divided by -5.\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.9347 millennia in centuries?\nAnswer: 1049.347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = -v + 6*v, 3*v - 14 = -u. Suppose 8 = -u*m + 10*m. Solve 0*j = m*j + 16, -g + j + 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17182125 is divided by 675.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 147*t**2 + 2644*t + 5868.\nAnswer: -(t - 18)*(t + 2)*(t + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4\/13 + 2836*l**3\/13 - 154506*l**2\/13 - 883664*l\/13 + 2362696\/13 = 0.\nAnswer: -7, 2, 62, 1361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 12*h - 32. Let s be k(5). Suppose 2*g = s*n + 31, g - 6 = -n - 3. Solve -4*t + a + 10 = -5, 0 = -3*t + 4*a + g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 20121020021?\nAnswer: 20121020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 808*n**2*o*y - 39*n**2*o + 1871*n*y + 7*n - 7916 wrt y?\nAnswer: 808*n**2*o + 1871*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -803*x + 805*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850637160001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*o + 7872 = 535*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/5 + 422*m**4\/5 - 29054*m**3\/5 + 161130*m**2 - 7625016*m\/5 = 0. What is m?\nAnswer: 0, 21, 41, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 30778, 2, 10, -8 in ascending order.\nAnswer: -8, 4\/3, 2, 10, 30778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5840821140 to the nearest integer?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 217013000 to the nearest 1000000.\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -235. Suppose 2*h = -2*h - 2*t + l, 4*t + 158 = 3*h. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*((-4)\/(-1))\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snnn when four letters picked without replacement from {s: 6, n: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 174918 - 174918 - 6098*x in the form t + l*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3. Let x be b(1). Let o be (0 - -2)\/x*2. Let v(z) = -3*z + o*z + z - 3*z. Let g(l) = -3*l**2. Calculate v(g(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 13\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*l = -45 - 344. What is the second smallest value in l, 104, -1.9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*g + 71*g - 118*g.\nAnswer: -149*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-689282)\/(-19) + (-9 - 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(792)*1)\/sqrt(11) + (sqrt(2) + (sqrt(10)*-1)\/sqrt(5))*3)*4.\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3373 = -3*h, 3*r + 5*h - 2792 + 775 = 0. Suppose 4*j + 2*x = -0*x + 2586, j - r = 5*x. Let k = j - 310. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-2)\/(-8)*(-18)\/54*18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -20. Suppose h = 26*j - 22*j. Suppose j = z - 129 - 2. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u**2 - 2*u**3 + u**3 - 18*u**2 - 13*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 - -212. Let u be (-2)\/11 + c\/(-22). Suppose -3 = -3*h - 0. Put h, u, 2 in decreasing order.\nAnswer: 2, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 k when three letters picked without replacement from {p: 1, g: 7, n: 5, k: 2, s: 3}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 31*c**2 + 5*c + 18. Let i(h) = -11*h**2 - 2*h - 6. Let k(p) = 17*i(p) + 6*z(p). Calculate k(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 202 = -126*p + 128*p + 187, -40 = 3*p - 8*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5 = -5*p, -2*o + 3*p + 63807 = 63810 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 3. Let p be ((t\/(-3))\/2)\/(-4). Suppose -3*s = 3*q - 0*s + 18, -3*q - 14 = -s. Which is the biggest value? (a) p (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24022616 to the power of 1\/2, to the nearest integer?\nAnswer: 4901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*w + 166, -w - w + 73 = 5*z. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + 30 + -5 - (-5 + 2\/2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 561*p - 533*p = -336 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from ywbbwybby.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 709108 and 22040?\nAnswer: 134730520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/2*(-1)\/4*3*1588\/(-2382)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/142738 and 25\/34454.\nAnswer: 999166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 2, p: 1, n: 1, r: 2}. Give prob of picking 1 h and 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 860 - 520. What is the highest common divisor of 16 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8258 - 8229. Calculate the smallest common multiple of b and 32.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 10:35 PM?\nAnswer: 363","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 261, 591, 1477, 3195, 6021?\n\"Answer: 46*a**3 + 2*a**2 + 2*a + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 6. Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367342, -367294, -367220, -367126, -367018, -366902, -366784, -366670?\nAnswer: -366566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 51360*w + 5177154. What is l(101)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656797?\nAnswer: 47, 35251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87*n**4 - 55*n**3 - 95*n**4 + 73*n**4 + 16*n**3 + 2*n**4 - 3*n**3 + 3*n**3 + (2*n**2 - 2*n**2 + 2*n**4)*(0 - 1 + 3).\nAnswer: 71*n**4 - 39*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 0.435878738.\nAnswer: 0.035878738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + n + 88 = 0, -2*n - n = 2*p - 30. Suppose -26*s = -p*s - 585. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:20 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 542*k + 6100. Let f(v) = 2*v. Give o(f(l)).\nAnswer: 1084*l + 6100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/764?\nAnswer: -5\/764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/448 and (11 - 6520\/616)\/2?\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/3 - 2*o**4\/3 + o**3\/3.\nAnswer: o**3*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 1:36 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1260 + 1276. Solve -3*n + 3*p + 2*p - 11 = 0, 4*p = r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/7649698 and 11\/26654?\nAnswer: 7649698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 4. Let i be 20\/(-8) - -1 - 84\/24. Calculate t(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 d, and 1 g when three letters picked without replacement from drqgddaggrm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 12:12 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/14042*34*(3\/((-12)\/(-16)))\/10.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*p**3*t - 481*h**2*p*t + 5*h**2*t + h*p*t + 88*h*t + 19*p**3*t wrt h.\nAnswer: 4*p**3*t - 962*p*t + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (477\/24 + -20)*0. Let x(a) = a**3 + 5*a**2 + 4*a + 3. Let t be x(-4). Solve -w = -t*m - k*m - 13, 4*w + 3*m - 7 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5\/8 + 1039*h**4\/4 - 7327*h**3\/2 - 20881*h**2\/4 + 163131*h\/8 - 23535\/2 = 0.\nAnswer: -2092, -3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/3 + 808*s**2 + 326432*s + 131878528\/3 = 0.\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2\/(-14)) + 7. Let j(u) be the third derivative of 0 + f*u + 7*u**2 + 1\/6*u**4 - 1\/3*u**3. Determine j(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519859.1 minus -273?\nAnswer: 1520132.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 - 22*z + 25. Let l(w) = -w**2. Let t(x) = -5*l(x) - s(x). List the prime factors of t(-10).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*c - 0*c - 2*t, -2*c - 4 = 2*t. Let m = 1 + c. Suppose 0 = 5*l - w + 3*w - 12, -4*l - m*w = 0. Solve x + 0*x = -l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*q - 18319 + 2908 = 0 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = 0, -45 = 4*i + i - 5*w. Let f be 12*(-6)\/i + 2. Let b be -2 + 1 - -2 - -1. Solve -7*c + f = -b*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -29, 1, -27, -20, 3.\nAnswer: -57, -29, -27, -20, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -15. Let j(o) = -o**3 - 6*o**2 + 3*o + 6. Give j(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 20 = -m, 4*b - 124*m + 22 = -122*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 16 = 2*n, 0 = 2*n - 12*p + 77 - 29 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.15 - -0.15. Let y = 25 - 25.44. Let a = y - -0.04. What is the closest to a in 3, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -13. Suppose -35 + 8 = -k*a. Suppose v + 3*y = 42, -v - 4*y = -3*y - 38. What is the greatest common factor of a and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 3. Let o = -20 - -16. Determine h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.7168 greater than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268*w + 1272*w = -4, 0 = -2*k - 5*w - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4321*a - 1 + 1 - 446*a - 1572*a in the form s + q*a and give q.\nAnswer: -6339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4722846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 323*m**9\/504 - m**6\/60 - 867*m**5\/20 - 29*m**2 - 2. Find the third derivative of j(x) wrt x.\nAnswer: 38760*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m + 20. What is the remainder when a(-11) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(5*v - 4*v + 0*v) + 2*v - 2 + 2 + (-3 + 2 + 0)*(1 - 1 - v) - 6*v - 467 + 467 in the form m*v + b and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlllv. What is prob of picking 1 v and 2 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h. Let q(t) = -17*t**2 + 5*t - 5. Let n(s) = -9*s**2 + 2*s - 2. Let l(b) = -5*n(b) + 2*q(b). Determine m(l(w)).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 3. Let h be n(-4). Let j = h + 6. Let q be ((-1)\/(-3))\/(-1 + (-2)\/(-3)). Sort 0, j, q in ascending order.\nAnswer: j, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-630)\/357 - (0 + 0).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13887 - -277843\/20. Find the common denominator of m and -89\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*q - 18. Let m be (q - 1)\/4 + (-14)\/(-28). Find the common denominator of m*((-235)\/(-35) + -4) and -53\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4145 - -9888. What is the remainder when n is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 = -3*y - 269. Let c = y - 130. Let o = -79 - -83. Sort o, c, -4, -10 in descending order.\nAnswer: o, c, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:09 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let t(l) = -8*l**2 - 39. What is k(t(r))?\nAnswer: -128*r**4 - 1248*r**2 - 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**2\/2 + 4*u - 1. Let q be ((-3)\/(-2))\/(-1) + 459\/102. Give i(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 1, q: 1, g: 4, m: 4, l: 7}. What is prob of picking 1 m and 1 l?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25400249, -50800500, -76200751, -101601002, -127001253?\n\"Answer: -25400251*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 0. Let u(o) = -o**3 + 6. Let g be u(y). Suppose g + 0 = v. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 18 = -18 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10508\/7495 - -3\/1499. Which is the biggest value? (a) -4\/9 (b) x (c) 5\/3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + -3*sqrt(80) + 2 + -5*(sqrt(80) + sqrt(80)*2) + 0))**2.\nAnswer: -9072*sqrt(5) + 233721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2570774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122320 to the power of 1\/2, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*h + 11 = 0, -3*h = -3*w - 3 - 0. Suppose 0 = 5*g - 8*u + w*u - 5, 5*u = -4*g - 5. Which is the third biggest value? (a) 5 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128 + 9*x**2 - 8*x**2 - 1128.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*w**2 - 15*w**2 + 9*w**2 in the form b*w**2 + l*w + n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(1*(4 + 0 + sqrt(19)))**2 + -3 + (6*sqrt(114)*-1)\/(sqrt(6) - -1*sqrt(6)*5).\nAnswer: 39*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:29 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -3*w + 3*r, -2*w - 2*r = -7*r + 56. Let j = w + 48. What is the remainder when 132 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3\/3 - 3*n**2 + 5*n - 60. Determine j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -14*r + 4. Suppose 1743 = r*y - 825. Find the common denominator of 87\/4 and y\/(-440) - (-4)\/(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + 1 + (-59)\/72 and ((-258)\/16 + 2)\/((-53)\/(-60) - (-1090)\/(-8175)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9889, -9919, -9953, -9991, -10033, -10079?\n\"Answer: -2*a**2 - 24*a - 9863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, 1 m, and 1 i when four letters picked without replacement from xqhmpphxiqqqmqqqqxqm.\nAnswer: 27\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -592, -1734, -3992, -7744?\nAnswer: -13368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3, 0 = f - 3*r - r - 9. Suppose 0 = j - 14 - 5. Solve 6 = f*z - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -20*b + 94*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.019 + -20.481. Let s = 28705 + -28684.377. Let j = f + s. What is j rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 5*j + 3*j)*(13 - 4*j + 6 - 22) in the form q + a*j**2 + o*j and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 26 = -4*t, -2*l + 2*t - 4 = -5*l. Let y = -0.8 - -1. Let s = y + 0. What is the second biggest value in l, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16847 or 16839?\nAnswer: 16839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456695.1cm to nanometers.\nAnswer: 4566951000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 11682273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6721?\nAnswer: 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337.6765ns to seconds.\nAnswer: 0.0000003376765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3518 at most as big as -3521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2 + 3*r + 28. Let b(o) = -14*o**2 + 8*o + 83. Let t(y) = -3*b(y) + 8*z(y). Let a(m) = -m**2. Determine t(a(v)).\nAnswer: 2*v**4 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69874 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + (0 - 12\/(-15))*(1185\/(-30) + 32)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*u - 101*u + 295182 = -1811*u + 534*u for u.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x**2 + 10*x**2 - 2*x**2. Let l be -4 - (-2 - (-2 + 5)). Let k(i) = -l + 1 + 29*i**2 - 34*i**2. Give k(t(a)).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388346 divided by -3.\nAnswer: 388346\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(2*q - 5*q + 2*q + (-q - 1 + 1)*(1 - 4 + 1) + 2*q + 0*q + 0*q + 1 + q - 1 + 2 - 2 - 2*q + 0*q + 4*q - 2*q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.3 - 6.3. Let p = u + -1. Let a = p + -28.99925. Round a to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2 + 7*n**2 - 2*n**2 + n**3 - 6 - 3*n. Suppose -y - 1 = -4*x - 6, 3*y = -3*x - 15. Is c(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 36454 = 38*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2821, -2708, -2571, -2398, -2177?\n\"Answer: 2*g**3 + 99*g - 2922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*5\/(-40)*4*1*(-6)\/(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382510295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*t - 193 - 97 = 0, 0 = l - 4*t - 139. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*d + 85 - 78, -3*t - 7*d + 22 = 0. Sort 110, t, -3, -2, -1.\nAnswer: -3, -2, -1, t, 110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 487972560*s - 11905860965647680.\nAnswer: -5*(s + 48797256)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*i**2 - 118?\nAnswer: 174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1366666947 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*q + 2*q - 358, -25 = 5*d. Suppose 0 = -0*r - 20*r + 80. Suppose 2*u = 2*g - 0*g - q, 3*g - r*u - 261 = 0. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(128))\/((sqrt(3) + (sqrt(243) - (sqrt(243) + sqrt(243) + -5*sqrt(243) - sqrt(243))) - sqrt(3)) + sqrt(3) - sqrt(3)).\nAnswer: sqrt(5)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8441, 15125, 21797, 28451, 35081, 41681, 48245?\nAnswer: 54767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50206.\nAnswer: 2, 13, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 16. Suppose 3*u = -u + h. What are the prime factors of 4 + 2\/2*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 4 + 0 + 222. Suppose -3*u = 3*f + 2*u - d, -5*f + 3*u = -375. What are the prime factors of f + -2 - 3 - -1?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2493 and -43.\nAnswer: -2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - (-6)\/(-45)*20\/4 and 39\/18 + -6 + 6\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634 = 156*c - 1415 + 489 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**4 - 5*n**4 + 2*n**4 + (0*n**2 - 15*n - 2*n**2 + 3*n**2)*(-228*n - 170*n**2 + 228*n) in the form g*n**3 + i*n**4 + f + a*n + x*n**2 and give g.\nAnswer: 2550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2117*h**3 + 3*h**2 + 109723.\nAnswer: 6351*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010010101001110 (base 2) in base 6?\nAnswer: -2151154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 387810705 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 176. Is (1\/(-3))\/((-1)\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129751 and 1121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35363?\nAnswer: 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*y = -389, 0 = q + 3*y - 128. Suppose a = -0*a - z - 6, -3*a = -2*z + 23. Let m = q - a. List the prime factors of m.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 47, 61, 91, 143?\n\"Answer: q**3 - q**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -423 less than or equal to -380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-8 + 5)\/(-3))*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3830398 and 37682.\nAnswer: 317923034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 3)*(18 + -17) - -50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7.254, 6.9 in decreasing order.\nAnswer: 7.254, 6.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -243412?\nAnswer: 243410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -822 - 9474 = -3*v + 4*z, 5*z = 3*v - 10293. List the prime factors of v.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306104159 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 9*m = -1. Let d(l) = -7*l**2 - 2*l + 1. Determine d(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-84)*-2)\/(((-8)\/952)\/(-1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 7*c**2 - 3*c + 19. Give r(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 589 and 684.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/28709 and 217\/28421910.\nAnswer: 28421910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 11*k**2 + 8*k + 13. Let s = 139 + -150. Let o be l(s). Let p = o - -75. Solve 5*b - b = p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 889 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 321, 300, 277, 252, 225, 196?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = -3086*x + 3061*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 - 9 = 0. Differentiate -v**4 + 7 + 0 - u with respect to v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0. Let u = -4 + 5. Let b = 82.468 + -82.558. What is the smallest value in u, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22115 is divided by 78?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1460 divided by -74330\nAnswer: -146\/7433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/2 - 190*n**3 - 12297*n**2 - 68598*n - 200583\/2 = 0. Calculate n.\nAnswer: -51, -3, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -97. Let x(p) = -p**3 + 13*p**2 - 12*p. Let s be x(12). Suppose 11 = -t - 2*t + 5*k, s = k - 4. Solve z - 4 = u, u + r = 5*z + t*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 3}. What is prob of picking 1 x and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*h = -6 - 94, 0 = -3*x + 2*h + 70. What is the units digit of x\/(-16) + 994\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 33 = -0*u + w, -5*w = 4*u - 63. Let v = 22 - u. Suppose -31 = -d + 19. Calculate the greatest common factor of v and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3697931 = -72*o + 2499109. What is o rounded to the nearest 1000?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 15, -5*i = -o - 20 - 2. Let u(s) = s + 0*s - o*s. Suppose -6*l = -2*l + 4. Calculate u(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45566\/183 + 249. Are g and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -118*a - 39*a**2 + 41*a**2 - 510 + 120 wrt a?\nAnswer: 4*a - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0*j**2 + j**3 + 0 - 5\/12*j**4 - 2*j. Find the second derivative of k(x) wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 14 - 6)*(5*d**5 + 0*d**5 - 4*d**5) + d**5 - 2*d**5 - d**5 + (4*d**2 - 4*d**2 + 2*d**4)*(0*d - 2*d + d) - 3*d + 3*d + d**5.\nAnswer: -33*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 7. Let l(s) = -3*s - 5. Let d(n) = n**2 + 10*n - 5. Let u be d(-7). Let a = u + 64. Suppose a = -5*i + 13. Give i*b(o) - 7*l(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73350, 146703, 220056, 293409, 366762, 440115?\n\"Answer: 73353*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -581 - -9550?\nAnswer: 8a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*k + 16 = 0, 5*k = 49*r - 50*r - 17. Which is the closest to -2\/5? (a) r (b) 1\/2 (c) -4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -21, -99, -4, -1, 3 in descending order.\nAnswer: 3, -1, -4, -8, -21, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63381221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 24*w**2 - 7*w - 363. Give m(-7).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 389535640 a multiple of 428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/7)\/q*q*q*q*q\/(q**(-7\/4)*q))**(-5\/2))**(1\/36) assuming q is positive.\nAnswer: q**(-235\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 11:24 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 1. Let v be 2\/1 + 3 + -1. Let l be b(v). Let z(j) = j**3 - j**2 + j + 1. Let t(o) = 4*o**3 - 5*o**2 + 3*o + 5. Determine l*z(m) - t(m).\nAnswer: m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 241*a**2 + 27*a**2 - 13*a**2 + (0 + 2 + 0)*(2 - 2 - 4*a**2).\nAnswer: 247*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 22 - 16 - 5*m to the form k + r*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2395 by 479.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1222 - -8516\/7. Let a = o + 27\/14. Which is greater: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-28)*v)\/(v**(2\/79)\/v*v) assuming v is positive.\nAnswer: v**(-2135\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -9*k - 133. Let d = 18 - 18.07. Let g be (-42)\/(-8) - (-2)\/(-8). Which is the third biggest value? (a) g (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1636, 3281, 4938, 6607?\n\"Answer: 6*b**2 + 1627*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9*66\/4. Let o = q - 1. Let x be (6\/(-52))\/(5\/o). Is x greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/60*3\/(-1))\/(-30)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c - 2. Let g(o) = -2*o**2 - 4*o + 6. Let k(u) = g(u) + 4*s(u). Let h(t) = -12*t**2 - 3. What is 4*h(q) - 7*k(q)?\nAnswer: -6*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5157673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.032835, 2, 0.1, 1, 5?\nAnswer: 0.032835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 117.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 12. Let u be 1 - -2 - (v - 3). Calculate the highest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Suppose w - 15 = -r*w. Put w, -4, -5 in ascending order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 5*i**3 + i**3 + (79*i**3 - 25*i**3 + 17*i**3)*(1 - 5 + 1) + 0*i + 0*i - 2*i**3 - i**2.\nAnswer: -219*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -3*b + 69. Let c be (-1 + 55)\/(b\/102). Is c > 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -60*c + 36. Let f be n(-31). Suppose 0 = 4*m - 60 - f. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -90. Let j = m + 38. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 13 = -3*k. Let h(q) = q**2 - 4*q - 3. Let d be h(5). Suppose 4*j - 14 = -d. Solve j*g - a = 17, -a = 3*g - k - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -10*d + 5*d. Suppose 2*v - d = 3*y, -y = -4*v - 0*y + 63. What is the highest common divisor of v and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)*2*5)\/((sqrt(7) - sqrt(70)\/(sqrt(50)\/sqrt(5))) + sqrt(7)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-245)\/14*8\/(-10). What is the tens digit of (19\/(-2))\/((-7)\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 0. Let p(q) = q + 12. Let v be p(f). Let j(o) = -o**2 + 2*o + 5. Calculate j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 74. Suppose t*z = 2*g + 8, 3*z + 2*z - 2*g = 14. Suppose 162 = 5*v - 4*o, -z*o - 13 + 37 = v. What is the remainder when 56 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 + 2*r. Let c(n) = -11*n**3 - 13*n. Calculate -6*c(g) - 39*f(g).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 285619 greater than or equal to 286614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6165, -24017, -53763, -95397, -148913, -214305, -291567?\n\"Answer: q**3 - 5953*q**2 - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*u + 0*u + 9 = 0, 3*u = -2*x + 5. Let a = x - -15. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -0.09, -2, -34\/11, -5 in descending order.\nAnswer: 4, 0, -0.09, -2, -34\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q*q\/(q**(1\/5)\/q))\/q*q))**(-27))**(-33))**(-33) assuming q is positive.\nAnswer: q**(264627\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/9 (b) -3\/2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224397267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122.645 or 350?\nAnswer: 122.645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*r + 26. Suppose 0 = 3*f + 2*j + 6, 4*j - 5 = -5*f - 17. Suppose 4*b + 68 = -h + r*h, -3*h - 4*b + 86 = f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 2. Suppose -3 - z = -l. What is the second derivative of 0*x**3 - 4*x + l*x**3 - 2*x**3 + 2*x wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*p + 260. Let j = p - -129. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 8157 (c) 4 (d) -2 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04195, -5, -0.2, -10, 3?\nAnswer: 0.04195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.88 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5 (c) -46\/13 (d) 4 (e) -1\/4 (f) 0.067 (g) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/((-92)\/(-8))*2\/(-14). Find b such that s*b**3 - 2\/7*b**2 + 0 + 0*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - 44\/12. Let c(y) = -4*y**2 + 2*y + 5. Let w be c(x). Let f = w - -467\/7. Sort f, 3, 1\/9 in ascending order.\nAnswer: f, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + 3 - 5 + 0. Let k be o(-2). Suppose 5*l - 20 = k. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3201*f**2 + 2678*f - 16. Let i(o) = -3210*o**2 + 2677*o - 18. Let z(q) = -9*g(q) + 8*i(q). What is the second derivative of z(h) wrt h?\nAnswer: 6258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r - 7. Suppose -3*p = -2*u - u + 3, 3*u + r*p - 21 = 0. Suppose u*m + 96 = 3*z + 3, 5*z + 2*m - 155 = 0. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4 + 225\/(-60) + 56490\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 0 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22793.828 and -191483.\nAnswer: -168689.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 6*j - 18. Solve 3*i = 5*m + 4, -4*i + j*m + 9 = 3*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-81)*(-3)\/(-2). Let c = -46 + 139\/3. Which is greater: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 2 - -4) + 2. Suppose 0 = j + 2, -j - 11 = -v*b + b. Suppose 4*r - b*r + 125 = 0. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 65 = -12*a + 16*a, -a + 29 = 2*m. What is the remainder when 678 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -44. Solve 2*i + o*s + 20 = 0, -4*i + s + 5 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuuuuuuuuuuiu. Give prob of picking 1 i and 2 u.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*z - 6*z + 20, -3*z = -4*a - 20. Let n = 45 + -25. Let l be 8\/16*(-1 + 5). Solve z = 3*x + l*x + n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2935424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3850*l**2 + 0 + 3*l + 3940*l**2 + 0 - 15*l to the form v*l**2 + h + f*l and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60 - 7 + 3)*(-3*y + y**4 + 3*y)*(3 - 4 + 0) to the form p*y**2 + i*y + u*y**4 + b + g*y**3 and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 243290 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1004448 and -1004446 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(0 + 4 - 3)*(-3*i**5 + 6*i**5 + i**5).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4*m + 3*d**3 - 12*d**2*m**2 + 3*d*m**2 + 4*d*m wrt d.\nAnswer: -24*d**2*m + 18*d - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31183? (a) 1 (b) -1\/2 (c) -1\/3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 13134*f + 20*f**2 + 13130*f + 2 in the form i + w*f**2 + h*f and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 336*n - 381. What is the hundreds digit of p(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/2)\/(2\/(-3)). Suppose -2*z = 2*t - 26, -r*t - t + 5*z + 34 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**6\/360 + 26*v**3\/3 + 17. Let f(w) be the third derivative of n(w). Let q(g) = 9*g + 2*g + 2*g. What is f(q(m))?\nAnswer: -169*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 11*v + 8. Let g = 0.2 - 1.2. Let u(r) = -r**3 - 3*r**2 - 3*r - 2. Let y be u(-2). Which is the nearest to y? (a) g (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpp when three letters picked without replacement from {p: 5, l: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 201.86*76\nAnswer: 15341.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + ((-4)\/(-2) - -255). Let y be (6 + (-15)\/(-6))\/(2\/16). Suppose -3*u = -a - y + 311, -k = -a - 3*u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*j - 304*j + 47*j to the form u*j + m and give u.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18724? (a) -70 (b) -1 (c) -0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s**(-1)*s)\/s)**32\/(s**(1\/3))**43 assuming s is positive.\nAnswer: s**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - 60. Let m(a) = -a + 15. Let f be m(w). Solve 2*h = f*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*n = 26 + 5, -5*s + 2*n + 133 = 0. Let q be (-4)\/(-6) - 1\/(-3). Calculate the remainder when s is divided by (-3 - -10) + 0\/q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1694 by -847.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 477259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 2\/13, -839\/7, 1\/5 in decreasing order.\nAnswer: 1\/5, 2\/13, -3\/2, -839\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1491 = -10*p + 5*p, 1521 = g + 5*p. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 16, 0 = 4*o + 2*q + 57 - 161. Differentiate o*x**4 + 19 - 53*x**4 + 7*x**4 with respect to x.\nAnswer: -72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose -19 = -5*n - 3*a, 3 + 1 = -2*a. Find the second derivative of 6*q**n - u*q**5 + 2*q - q wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7161 + 7160.9. Which is the biggest value? (a) 0 (b) m (c) 7 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6 + 11 = 0. What is the units digit of ((-25)\/(-4) - w)*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + p + 49 = -13*p + 4*g, 2*p - 4 + 12 = -2*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62412429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67 * -0.20038.\nAnswer: -13.42546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 65*p**2 - 11*p - 726. Let a be y(33). Put a, -146, -10 in ascending order.\nAnswer: -146, -10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -70*x + 210. Let b be o(3). Solve -8*u + 7 + 17 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 1 + (-281 - -271)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210 - -92. Let u = z + 117. Let f = 0 - -2. Put 0, u, f in decreasing order.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 15 + -6 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7241 + -3853. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 1. Let o(y) = 6*y**3 + 17*y**2 + 17*y - 1. Let p(m) = -o(m) + 5*v(m). List the prime factors of p(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9557 - 39630 = -38*h + 7813. Is 997 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -105. Let q(m) = -m**3 - 11*m**2 - m + 20. Let d be q(-11). Solve 0 = 5*b + 4*f - d, 0 = -2*b - 0*b + i*f - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-4 + q + 4) - 530 + 481 - 6*q + 2*q + 4*q + 5*q + 0*q.\nAnswer: 3*q - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 129\/(-660) - (-2)\/8. Let w = 5\/11 - z. Which is the nearest to 1? (a) w (b) 3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 3 = 57. Let c(t) = 3*t**3 + 28*t**2 - 18*t + 15. Let p be c(o). Let h(q) = -q**3 - 5*q**2 - 1. What is h(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3398 and 6\/11893.\nAnswer: 23786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c)\/c)**(-17\/6)\/(c*c**1*c)**(-27) assuming c is positive.\nAnswer: c**(1837\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 134.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 90. What is the first derivative of -69 + 231*c**3 + 139*c**y - 439*c**3 wrt c?\nAnswer: -207*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13300 and 50379700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341634 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -3 (b) -2410.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/(-8170) - (-380)\/(-774)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92179241 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(91) + -4*-1*sqrt(91) + sqrt(91)))\/(3*sqrt(28)\/sqrt(4) - (sqrt(7) - (1*sqrt(28))\/sqrt(4))))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 2*l - 2. Let d be t(-1). Let x be d\/(-4) - 11\/(-4). Suppose 5*p = -5*s, 0 = -x*s - 3*p + 2*p - 2. Is s at least as big as -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0 - 7*d + 6*d - 2*d**2 as l*d**2 + t*d + x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*t + 3*k + 21, -5*k = 3*t + 9. Let d be (30\/(-20))\/(t + 2). Which is the second biggest value? (a) 1\/6 (b) d (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00113519889 rounded to six dps?\nAnswer: -0.001135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11586.6 from 10.\nAnswer: -11576.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 + 3*i + 5. Suppose -337 + 418 = 27*v. Let n(a) = 2*a**3 + 5*a**2 - 4*a - 6. Determine v*n(u) + 4*b(u).\nAnswer: 2*u**3 - 5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iouwcyi. Give prob of sequence wuw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Let i = p + -1. Suppose b = -3*z - 11 + 42, -i*b = 15. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*t + 11. Let f be (-2)\/t - 72\/(-16). Let d be (-5 - (-135)\/18)*-2. Put f, d, -1 in descending order.\nAnswer: f, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 9) to base 4.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -103, -173, -255, -343, -431, -513?\n\"Answer: l**3 - 15*l**2 - 14*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5 - 15. Sort 13, 3, w in decreasing order.\nAnswer: 13, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 14. Let y be i(4). Let u = y + -7. Solve a = 2*a - u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -38 (b) -7 (c) 6\/7 (d) -1\/3 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1630, -3234, -4836, -6436, -8034, -9630, -11224?\n\"Answer: g**2 - 1607*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + 25. Suppose 0 = -3*r - r + m. What is the tens digit of (9\/(-6))\/((-2)\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -256*g - 10. Let o be v(-1). Let u = 247 - o. What is the highest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2580639 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 543*n = 546*n + 8, -5*o - n - 24 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**3 - 6*x + 9. Let m(l) = 9*l**3 - 7*l + 9. Let c(g) = 6*m(g) - 7*y(g). What is the first derivative of c(o) wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2497382 is divided by 3819?\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l**(-5\/4)*l))**(1\/18))**(-16) assuming l is positive.\nAnswer: l**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48291009?\nAnswer: 3, 13, 1031, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 16. Let p be (v + 17)*(6 - 5). Let b = -7 + p. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.077 + 0.099. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23983690*0.1\nAnswer: 2398369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:36 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.04 (b) -9\/7 (c) 0 (d) 0.2 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/72 and -21\/37138.\nAnswer: 1336968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 3*b**6\/160 - b**5\/10 + 7*b**4\/32 - b**3\/4 - b**2 - 31*b. Determine p, given that m(p) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 4*v + 19, -9*r - 4*v = -7*r - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105396 or -105431?\nAnswer: -105396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(3\/4))\/(d\/(d**(2\/5)*d)*d))**(-5\/2) assuming d is positive.\nAnswer: d**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2068.1742 + -2067. Round q to 2 decimal places.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19902*h**2*v**2 - h**2 + 104*h + 2*v**2 + 503 wrt v.\nAnswer: -39804*h**2*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -8) + (-7 - (-9 - -8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6028945 and 185506.\nAnswer: 12057890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*k + 65*k - 1536. Let i = k - -294. What is the highest common divisor of i and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from sdspjsjssz.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179505.018 nanoseconds to weeks.\nAnswer: 0.000000000296800625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9952 and 483605?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -80, -201, -366, -569?\n\"Answer: x**3 - 31*x**2 + 15*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*k - 14, -4*g + 0*g = 5*k - 7. Solve -1 = -4*o + g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 5, r: 5}. Give prob of picking 2 r.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, u: 3, t: 5}. Give prob of sequence uucc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -300 + 302. Let n be q*282 - 10*12\/30. Calculate the highest common factor of 35 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*c**2 - 38*c + 2 + 109*c**2 + 53*c**2 + 40*c.\nAnswer: 456*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116075769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 29.32*-0.1\nAnswer: -2.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 6 = b + 4*b, -3*w = b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**7\/14 - n**6\/10 + 3*n**5\/20 + n**4\/4 + n. Let u(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*p + 200*p = -5241. Let i = -136195\/26 - p. Find the common denominator of (146\/12)\/((-2)\/(-2)) and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.2 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-859)\/(-6) + -9 - (3 + -1). Let y = w + -132. Find f such that 0*f + y*f**3 + 1\/2*f**5 + 1\/6*f**2 - 5\/6*f**4 + 0 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2079 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 2:27 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q + 12. Suppose 2*r - 2 = r. Suppose -r*l - o = 17 - 3, -o - 26 = 4*l. Is g(l) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -127.5?\nAnswer: -127.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 - 52142*p**2\/7 + 208592*p\/7 - 29800.\nAnswer: -2*(p - 2)**2*(p + 26075)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 21*l - 226. What is the smallest common multiple of t(14) and 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 3, -2.\nAnswer: -8, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 38b0c?\nAnswer: 38b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 3. Let k = 123 - 57. Let n(p) = -12 - 5*p**3 + k*p**2 + 4*p**3 + 2*p - 58*p**2. Let u be n(8). Give a(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2891*6\nAnswer: 17346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -814 + 586?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3746 less than 5?\nAnswer: -3741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j - 5*m - 65 = 0, j - 5*m = 13. Let h = j - 10. Let w(g) = -g**2 - g + 1. Let x(s) = -2*s**2 + 2*s. Let z(p) = w(p) - x(p). Determine z(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 11. Let c = a - -6. Let s(f) = 2*f**2 + c*f**2 + 2*f**2 - 5*f**2. Let g(p) = -2*p. What is s(g(w))?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbttbqtbbt. Give prob of picking 1 b, 2 t, and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/70)\/((-9)\/40).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.2537 or 32?\nAnswer: -8.2537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -4.95, -0.5176?\nAnswer: -0.5176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 2 + 2, -2*o + 3*x = -18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2 = -5*y, 2*y + 375 = -2*z + 723 - 360 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/14, 0.3, -5 in descending order.\nAnswer: 15\/14, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53310460 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 39*j**2 + 5*j - 80. Let w(t) = 4*t + 2*t**2 - 3*t + 1 - 7 + 5. Let b(h) = -d(h) + 4*w(h). What is the derivative of b(i) wrt i?\nAnswer: -62*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - x = -96, 0*j - 160 = -5*j + x. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-298)\/1341)\/(34\/9)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {a: 1, p: 6, z: 12}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1158049106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.522 or 1?\nAnswer: 0.522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 9. Let o(k) = k**3 - 6*k**2 + 2*k + 1. What is the tens digit of o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 + 17*i**4\/24 - 13*i**3\/2 - i**2 + 20*i. Calculate p(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 5, 22, 45, 74, 109?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 4701673.\nAnswer: 14105019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*f**4 + 5*f**3 - f**2 + 162 wrt f.\nAnswer: 816*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, c: 3}. What is prob of picking 1 s and 3 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23317 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5424*u + 5411*u + 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 48. Suppose 7*p + 2 = v. Let i(k) = -k + 4. Let c be i(p). Solve c*w + 23 = -3*o, 2*w + 0*w - 5*o = 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/((-155)\/30 - -5). Which is greater: g or -9\/11?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:18 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/11)\/s*s**(-2\/7))\/((s\/s**(-2))\/s)**(-42))**(-7) assuming s is positive.\nAnswer: s**(-6362\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3168.48ml?\nAnswer: 3.16848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, t: 5, x: 3, s: 4, m: 3, l: 1}. What is prob of picking 2 m, 1 b, and 1 s?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -23043 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 2, b: 1}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/5 - 552*j**2\/5 - 14544*j\/5 - 89856\/5.\nAnswer: 3*(j - 208)*(j + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-4))\/((-1)\/24). What is the smallest common multiple of (-3)\/((p\/20)\/(-3)) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 3\/5678, 3, -1?\nAnswer: 3\/5678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*w + 1 + 54*w + 0*w**3 - w**3 - 2*w**4 + 0*w**4 - w**2 in the form m*w**3 + h + y*w**4 + t*w + j*w**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 452393348 and 16698.\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2956 - 1.17.\nAnswer: -2957.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 519813702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012585189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 4*j + 4. Let v(x) be the first derivative of -x**3\/3 + 3*x**2\/2 - 3*x + 9. Determine 3*k(h) + 4*v(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1057836 and 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594748?\nAnswer: 2, 7, 11, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 1224 = -1206 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -5, -528 in decreasing order.\nAnswer: -2, -5, -11, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225461927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**2. Let q be 31 + 0 + (-2 - -1 - -3). Let b be (-6)\/q + (-48)\/(-22). Let z(i) = 9*i**b - 6*i**2 - 7*i + 7*i. Give z(j(h)).\nAnswer: 192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q**5 - 8*q**5 + 20*q**5)*(-5 + 15 + 13).\nAnswer: 69*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161 + -77. Suppose -5*y = 2*c - p, -2*y + 3*y - c = 21. Is 9 a factor of 0 - -5*(y - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 26. Suppose -d = -2, -8*k + d + 3 = -3*k. Put -5, o, 5, k in ascending order.\nAnswer: -5, k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + j. Let y(z) = 14*z**2 + 5*z + 45. What is 5*m(b) - y(b)?\nAnswer: -4*b**2 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.25 - -46.25. Which is the third biggest value? (a) -2\/23 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 10 (c) -5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -176 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -v - 0*v + 20, -d = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*h - 3*h + 6, -4*h + 2*f + 74 = 0. Suppose -4*o = -6*q + 3*q + 23, -3*o + 2*q - h = 0. Sort o, 0, 1 in decreasing order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -2*o - 14, 0 = 4*m + 3*o + 1. Suppose 4*g = 3*f + 2*g - 112, -3*f - m*g + 104 = 0. Suppose -18 = -v + f. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 51 = -11 - 10, -4*y + 3*o = 2*o + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23182207?\nAnswer: 23182207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9 and (-513)\/(-72) - (-4)\/1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (-15 - -4) - 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1122210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -20. Let f(u) = -u + 13. Let y be f(11). Solve y - a = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -958*a**2 - 3733*a + 395. Calculate k(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -71031 divided by -94?\nAnswer: 71031\/94","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1)*1)\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -4. What is the lowest common multiple of (28\/(-4) + -1)*(0 - 1) and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 19*r + 6*r + 15*r - 4 - 345*r**3 as s*r**3 + w + b*r**2 + h*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*o + 12 - 4, 0 = -4*o. Let n(i) = t - 4*i**2 + 2*i**2 - i**3 - 3 + 5*i + 3*i**2. Let c be n(3). Solve -v = -2, -5*v + 5 = c*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 12\/4 + 12. Solve y = 3*d + 3*z, -4*z + 2 = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3473 (b) 3 (c) 14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 3 + 2*v - 1. Let t(p) = -4 + 1 + 2. What is -2*k(h) + 6*t(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1156305, 4625234, 10406785, 18500958, 28907753, 41627170, 56659209?\n\"Answer: 1156311*h**2 - 4*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*y - 4 = 0, 4*z + y - 111 = -119 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - sqrt(102)*2))*-5*-1)\/(-6*((sqrt(600)*3 - sqrt(600)) + sqrt(600) - sqrt(600))).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2292 divided by 191.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50401*z - 16 + 16 + 50407*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 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 u(j) = 119*j**3 - j**2 + 298*j + 300. Give u(-1).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from vvvf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 19*m - 86. Let s(w) = -2*w - 67. Let t be s(-22). Let n be x(t). Let i be 2 - (1 - 1)*1. Solve -n*a - 20 = -i*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*a + 5*g - 22, -5*a = g + 1. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 5*c - 6. Suppose 0*d - 3*u - 21 = 5*d, 4*d + 3*u = -15. What is the least common multiple of t(3) and 15 + 1 + d\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 651 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j + 0*j)*(65*j**3 - 61*j**3 + 8*j**2 + 2 - 4*j**2).\nAnswer: 4*j**4 + 4*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 10*u + 18*u - 2*u**2 - 3*u + (u + u - 5*u)*(-3*u - 8*u + 4*u) - 6 + 6 - u**2.\nAnswer: 18*u**2 + 5*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-64))\/((-5940)\/(-9504)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-6)\/(-4) - 5\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -260270.6 - -260268.3500176. Let x = g + 2.25. Round x to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*o + 29. Suppose 0 = -k + 5*a + 43, -2*k + 34 = 42*a - 39*a. Are o and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -110011010011?\nAnswer: 110011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5376)\/(-16) + 2\/1. Let l = -838 + z. Let r be -5*(1976\/l - -4). Is r bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Find the common denominator of (182\/(-80))\/(k\/8) and 1*6*13\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 107769*o**2 + 107769*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4326 from 34.4.\nAnswer: 35.8326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - -2 - (3 + -134).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**3*k**2*v**2 - 4*f**3*k**2 + f**3*v + f**2*k**2 + 3*f*v**2 + 5*f wrt v?\nAnswer: 8*f**3*k**2*v + f**3 + 6*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbbxnxnnbbnblnb. What is prob of picking 2 b, 1 h, and 1 n?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + 71 + -24 + 46.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101010012 - -101?\nAnswer: 1101010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aazazzaazazaaaaa?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -2237.015975?\nAnswer: 2238.015975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103451 is divided by 598?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 16129109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4168043 (base 10) to base 4.\nAnswer: -33321211223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q + 42*q = -2*g + 3198, 5*q + 2*g - 7998 = 0. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4260?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453.392 years to millennia.\nAnswer: 0.453392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*y**2 + 2 - 51547*y + 51540*y - 232*y**2 to o*y**2 + k + p*y and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2281 - 2281 + 128*s in the form n + q*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5624 + -28112\/5. Determine y so that -s*y + 0 + 8\/5*y**2 + 6\/5*y**3 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**2 - 11*v + 6. Let h be m(2). Which is the closest to 0.2? (a) -3 (b) h (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + a + 2, 0 = -3*a - 7 - 8. Suppose y*p + 16 = 7*p. Put p, -3, 0, -5 in descending order.\nAnswer: p, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 d when four letters picked without replacement from oyhddymm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 2*s**2 - s. Let q be 4\/4 - 7\/(-1). Suppose 3 = t - q. Let p = 12 - t. What is n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/7)\/((-16)\/(-14)). Let o be (-60)\/27 + 4\/2. What is the nearest to -0.1 in d, -1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1066861476 divided by 88236.\nAnswer: -12091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 15*j + 36. Let i be z(-12). Suppose -b + i + 52 = 0. Let t = b - -26. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 2*x + 0*x)*(35*x**3 + 2*x**3 + 18*x**3) - 43*x**4 + 73*x**4 + 19*x**4 to v + w*x**4 + y*x**2 + q*x**3 + t*x and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-2) - (11 - 11). Solve -5*n + a = -y, 0 = 3*y + 2*n - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2458956 divided by 2?\nAnswer: -1229478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/4 + 7\/12. Let x(h) = -2*h + 1. Let v be x(2). Let r be (v\/7)\/((-16)\/(-28)). Which is the nearest to 1? (a) r (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8)\/((-3)\/(-18)*-5 - -1). Which is the fourth biggest value? (a) -0.2 (b) -50 (c) q (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:45 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -129527532*f - 93128765?\nAnswer: -129527532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1668?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i - 278. Determine j(26).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 6:03 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*p - 24*p - 7*p**3 + 5*p**3 + (0*p**2 - 4*p**2 + 6*p**2)*(p + 2*p - 5*p) - 2 + p**3 + 2.\nAnswer: -5*p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439114416, 878228800, 1317343172, 1756457526, 2195571856, 2634686156?\nAnswer: 3073800420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413008516?\nAnswer: 2, 3, 10321, 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 32 + 162 = 4*f, 3*c = f + 621. Solve 4*s + 2*h + 208 = c, 0 = 5*s - h - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -760, -1505, -2246, -2983, -3716, -4445, -5170?\nAnswer: -5891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 0, 3*b = -2*b + 4*t + 2081. Let w = b - 823\/2. Factor 0*s**2 + 0 + 0*s + 0*s**4 - 3\/2*s**5 + w*s**3.\nAnswer: -3*s**3*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**6\/480 - w**5\/120 + w**4\/96 + 3*w**2\/2 + 2*w. Let q(p) be the first derivative of s(p). Suppose q(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = l, 3*l - 2*z - 32 = -7*z. Suppose 0 = -l*o - 0*o + 76. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -2*f, 5*d - 3*f + 1 = 38. Sort d, -3, -126 in ascending order.\nAnswer: -126, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u. Let f(q) = -9*q. Let w(y) = -3*f(y) + 5*k(y). Let l = 3 + -1. Let z(c) = -2*c**2 + 5*c**2 + 4*c**l. Determine w(z(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**26*v**(-4\/17)\/v*(v**(5\/17))**(1\/19) assuming v is positive.\nAnswer: v**(8004\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42904 and 39778928.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 20*x**2 + 7*x - 48. Suppose -3*m - 2*m + 4*d - 91 = 0, 0 = -4*m - 4*d - 80. What is the hundreds digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 25408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -20 - (170 - 208)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -489 + 454 + (172 - 0).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 0.3 (b) 23 (c) -1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -32 + 8 + -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874761969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*(-2)\/(-2). Suppose 2*q + w = 3*q. What is the units digit of -1*2\/(-1)*q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021 times 1071?\nAnswer: -22.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5187 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179 is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21623.\nAnswer: 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418896 is divided by 1243.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 7 - 3. Let z = 5 + h. Suppose -z*r - r = -176. Calculate the remainder when r is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - -5?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - l - 2*l - 3*l - l + 3*l + (3*l - 5*l + 0*l)*(0 + 1 - 2) + l - 2*l + 3*l - 23*l - 72 - 28*l - 20*l + 74*l.\nAnswer: 5*l - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 - 0.53. Let p be (-6)\/(-18)*3*0. Which is the smallest value? (a) l (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*b**4 + 10*b*u + 2*u - 137 wrt b.\nAnswer: -52*b**3 + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11084233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -65, -117, -185?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1305 - 4?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2338 (base 11) in base 6?\nAnswer: -22110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 divided by -356?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - n**2 + n**2)*(1 - 3 - 4) + 4 + 2*n**2 - 4 + (6*n - 2*n - 2*n)*(2*n - 2 + 2) + n**2 + 2*n**2 - 6*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 + -128. Calculate the remainder when -2*((-69)\/6)\/1 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*o + 89675, 5*o - 194192 = -3*z + 74875. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27354 and 33407382?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18644642?\nAnswer: 2, 727, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5291 - -5297. Solve 0 = -5*v + q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.088 - -0.188. Which is the closest to p? (a) 2\/5 (b) -0.1 (c) 14 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29687975.\nAnswer: 5, 19, 62501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 53.9. Let q = 3 - h. Which is the third biggest value? (a) 0.5 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:06 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -32\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, q: 4, x: 11}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 13. What is the units digit of (n\/(-3))\/((-3)\/171)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501122 = 3*x + 40*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let d be 218\/1635 - (0 - 77\/(-15)). Let y(f) = f + 3. Determine d*x(s) + y(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**8\/3360 + s**7\/840 + s**4\/12 + 2*s. Let r(c) be the third derivative of u(c). Find the third derivative of r(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102388*v**5 + 204378*v**5 - 102336*v**5 + v**3 + 2680*v wrt v?\nAnswer: -6920*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.18233655 to two dps.\nAnswer: -3.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -20 (b) 931 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1038752 by -11.\nAnswer: -94432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:11 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 720.7 * 50.\nAnswer: 36035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304321?\nAnswer: 163, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -170052, -170047, -170042, -170037, -170032?\n\"Answer: 5*x - 170057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 18 = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*w - 60. Let u = w + 13. Calculate the common denominator of -33\/2 and u\/(-15) - 767\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 11*b = 760. Let j = b + 103. Solve j = l + l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-15))\/(((-8)\/(-20))\/(-2)). Let y be 4\/c*3*16\/(-348). Do y and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23 and -279725606288.\nAnswer: -279725606311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4\/3 - 9316*f**3\/3 - 12452*f**2 + 65284*f\/3 + 93320\/3 = 0. What is f?\nAnswer: -5, -1, 2, 2333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/144 + (20\/2970)\/(2\/(-96))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95833914 less than 95833914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.062 times -23.55\nAnswer: -1.4601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4628882678 rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 take away -225749.36?\nAnswer: 226038.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7512 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2 + (3 - 3 - 2)*(-2 + 3 + 1) - 2 + 0 + 0 + 0 + 0 + 2 + 3 - 3 - 1)*(12*w**3 - 14408*w + 3*w**3 + 14393*w).\nAnswer: -90*w**3 + 90*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:31 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3392, -13603, -30636, -54497, -85192, -122727?\nAnswer: -167108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5356813663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, -48, -1, -3, 4 in descending order.\nAnswer: 4, -1, -3, -4, -23, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445\/3 - (-3)\/(-9) is divided by -120*10\/(-120) - 9\/(-4 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgffgfgggg. Give prob of sequence fg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4683*f - 7689*f + 161440 = 3772*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -467*h**3 - 2*h**2 + 2*h + 3. Let f(r) = -4*r + 55. Let d be f(14). What are the prime factors of l(d)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4730.543 decades to months.\nAnswer: 567665.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 93*o = -13*o + 1748 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*p - 81*p = -16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -300229.8\nAnswer: 150114.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-160 - -77 - -72) + -2 + 5 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + -4 + ((sqrt(85)*2)\/sqrt(5))**2.\nAnswer: sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 11*z**2 - 435*z + 1909. Give s(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -69. Solve -k + 10 = -d*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*d + 26, 0*f + 3*f + d + 29 = 0. Let h = f + 13. Suppose -h*l = 5*w - 0*l - 100, 3*l + 15 = 0. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9) + (2 - (-110)\/(-72))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.335 - 87.735. Round t to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 5486, 17806, 41806, 81380, 140422?\nAnswer: 222826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*h - h - 20 = 0, 3*h = 3*o. Let l = o + 1. Let u = 7 - 12. Put -3, u, l in descending order.\nAnswer: -3, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -264, -269, -272, -273, -272, -269?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3035 + 1610?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11074?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/9 + 134330528*x\/9 - 2255586344094848\/9 = 0.\nAnswer: 33582632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239202?\nAnswer: 2, 3, 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 4*q - 121. Suppose 363 = 3*k - 4*l, -3*l + 0*l = -k + q. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 27 = -43. Let j = 14 + -14.3. Which is the nearest to -2\/7? (a) l (b) -4\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41\/2 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - (-4 - (2 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 <= 220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (-7 - -2)) + -337 + 425.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 - -130. Solve j - a = r, 3*r - 4*r + 5 = -4*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 758087.3 decades?\nAnswer: 7580873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 + 49*r**2 - 3*r**2)*((0 - 1 + 3)*(5*r - 2*r - 2*r) - 121 + 121 - 17*r + r + 2*r + 0*r)*(-1 + 0 + 2) to i + d*r**3 + g*r + p*r**2 and give d.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -290, -271, -230, -161, -58?\n\"Answer: y**3 + 5*y**2 - 3*y - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 21*u - 10 as c*u + i and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2461*i + 31990. What is q(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17. Suppose -s = -o*s - 10. Is 5 a factor of (s*-1)\/(16\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 22 - 46. Let j = 3 + -1. Solve -j*a = -w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*d + 15, 4*d - 4 - 8 = 0. Suppose 0 = 3*t + q*t + u - 96, 3*t + u - 56 = 0. Solve -7*f = -3*f + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1737, -13436, -45173, -106968, -208841, -360812?\nAnswer: -572901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 15264912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:41 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5*-3*(-18)\/225*-5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 182 = 5*o, t - 149 - 43 = -5*o. Let a be o\/(-16) - 30\/(-80). Put 5, a, -4 in ascending order.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67004746*d**2 - 3505876*d - 3 wrt d.\nAnswer: -134009492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431504 (base 7) to base 11.\nAnswer: 51403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154869 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(24\/(-228))*120\/(-45)*105\/(-20)\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o - 26. Give k(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 11*k**2 - 7*k + 10. Calculate d(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -394\/75 + 4\/75. Let l = -231 - 66. Find the common denominator of (l\/(-75))\/((-4)\/(-10)) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*(sqrt(77)*-2 + sqrt(77)) - sqrt(77) - (sqrt(77) - (sqrt(77) + -2*sqrt(77) + sqrt(77) + sqrt(77)))*-4)\/(-5*1*sqrt(99)))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 805913 smaller than 805910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11255*i - 56. Let n be y(-5). Let a = 84254 + n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -510 + -375?\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -878, -925, -936, -893, -778, -573, -260?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15039\/28 + 537. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -30 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*s**4 + 1075*s**2 - 1084872?\nAnswer: 224*s**3 + 2150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 3*q + q + (2*q - 7*q - q)*(-6 + 3 + 2) + (-3*q - 3*q + 4*q)*(1 + 1 - 3).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**3\/6 + l**2\/2 + 54*l. Let r = -9 + 6. Let o(p) = -6*p + 5. Determine r*o(v) + 15*q(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106656829 by 7261.\nAnswer: 14689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 541.8757 millennia?\nAnswer: 5418.757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 1:33 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**6\/240 + 91*c**5\/160 - 185*c**4\/96 + 31*c**3\/16 - 369*c + 2. Suppose i(p) = 0. What is p?\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 6*d - 4*d. Let b be 1*-3*(-6)\/d. What is the third smallest value in b, -0.2, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 16*y**2 - 10*y + 60. Calculate the remainder when s(15) is divided by 105.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqjqrvjbj. Give prob of picking 1 j, 2 v, and 1 r.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 219*w**3 + 247*w**3.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b*b**0)\/b)\/b)**(2\/63)\/(b*b**0)**41*(b*(b\/b**(-5)*b*b)\/b*b)\/(b\/(((((b*(b**(-6)*b)\/b)\/b)\/b)\/b)\/b*b))*(b**(2\/11))**39 assuming b is positive.\nAnswer: b**(-373\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 3*t - 720. List the prime factors of t\/9 + 2\/(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170775.72 rounded to the nearest 1000?\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -125, 998, 4 in decreasing order.\nAnswer: 998, 4, -1, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**27*z**(2\/7)\/(z\/(z*z\/(z**(1\/3)*z))*z))\/(z\/z**(-6)*z**(-2\/7)*((z\/(z\/(z\/((z**6*z*z)\/z*z)))*z)\/z*z*z)\/z**(1\/9)) assuming z is positive.\nAnswer: z**(319\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4585 is divided by 106.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -3.8. Let r = z + 40. Let b = r + -36.999948. What is b rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 + -15 + (-3 + 1 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 29*s**2\/2 + s - 1. Let j = -13 - -14. Does 16 divide n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11675*i**3 + 10*i**2 - 109*i + 832. Let g be z(8). What is g rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*z - 9 = -8*z, 3*l - 5*z = -2. Let u be (8\/2 + l)*(-13)\/13. Which is the smallest value? (a) -3 (b) u (c) -0.1 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 4*a - 4*s + 5*s, -4*s = 4*a - 352. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(4\/(-36)*3). Solve -2*f = -2*b + 5*b, -m*f = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -120325*q*z**2 + 1139*q + z**2 + 349681*z + 35 wrt q?\nAnswer: -120325*z**2 + 1139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**2 + 16*f**2 - f**2)*((0 - 1 + 2)*(2 + f - 2) + 0 + 2*f + 0 + 0*f + 3*f - 4*f - 5*f + 12*f + 4*f).\nAnswer: 351*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2 + 1728*d + 186624 = 0.\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27662304 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 3*i - 2*i)*(33 - 7 - 14 - 2*i**2) as r*i**3 + g + p*i + y*i**2 and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 968382757 to the power of 1\/2, to the nearest integer?\nAnswer: 31119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35063085 to the power of 1\/2, to the nearest integer?\nAnswer: 5921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31998310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -759*m - 14. Let u(p) = 254*p + 4. What is 2*k(l) + 7*u(l)?\nAnswer: 260*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007730156 to six dps.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6980 + 6980 - 73*h)*(2 + 3 - 4)*(0*h**3 - 2*h**3 - h**3).\nAnswer: 219*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*z - 14*z - m + 4, -2*m + 7 = -9*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 1 - 8 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-437))\/(2 + 3\/(-1) + 3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15619, -31237, -46855, -62473?\nAnswer: -78091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21688*r - 20159?\nAnswer: 21688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and 82377.25?\nAnswer: 82377.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*o - 295 - 271, 0 = -2*j + 5*o + 562. Let s(a) = -20*a + 40. Let m be s(2). Suppose -g - g + j = m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - f**3 - f**3)*(f + 2*f - f)*(-9 + 0 + 3).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1961*w**2 + 971*w**2 + 985*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*z - k - 3, 0 = -k - 5. Suppose -24 + 6 = -3*h. Let t = z + h. Solve -5*a + 20 = 4*v + v, 0 = t*a + 2*v - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*d*h**3*r - a*d*h**3 - a*d*h*r - 2*a*d - 11*a*h**3*r + a*h**3 + 6*d wrt r.\nAnswer: a*d*h**3 - a*d*h - 11*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:30 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 25. Let x be z(5). Calculate the common denominator of 2\/3 + (-51)\/90 and ((-8)\/(-10))\/2 + (-34)\/x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -20*z + 4 - 2*z - 11. Let y be w(1). Which is the closest to -2\/7? (a) 0.4 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271416 divided by 14.\nAnswer: -135708\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1502, -6041, -13614, -24215, -37838?\nAnswer: -54477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7474758 to the nearest integer?\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d + 26 + 45 = -34*d + m, -2*m + 492 = 20*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + y + 19 = -0*y, -r + 4*y - 23 = 0. Let j(z) = -2*z - 22. Let h be j(r). Solve h = d - 3 + 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108? (a) -1\/4 (b) 0.4 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-1)\/1*(-8506)\/(-8506)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -22*b**2. Let h(d) = 2*d**2. What is u(h(k))?\nAnswer: -88*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -3 + 14 + -4. Suppose 4*v = 0, -f*u - v = -0*v - 630. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-1)*312\/36. List the prime factors of 3430\/4 + 1 - (-13)\/i.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 6*x**4 + 6*x**4 - 9 + x - 2*x**4 to l*x**3 + i*x**4 + b + r*x + h*x**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 8*u + 24. Let v = u - -80. Calculate the remainder when (-1)\/(164\/v + -3) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4438, -16159, -35720, -63127, -98386?\n\"Answer: -a**3 - 3914*a**2 + 28*a - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10208 is divided by 131?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -2\/1685, 2\/3, -9\/2, -20?\nAnswer: -2\/1685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -358120880 divided by 65?\nAnswer: -5509552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573372 - 1830*t**2 - 573372.\nAnswer: -1830*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -35. Let f(w) be the first derivative of 5*w**3 + w**2 - 3*w - 5. What is the remainder when f(2) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3729*g + 4. Let o be w(2). Let m = o - -4880. Calculate the remainder when m\/(-52)*2\/(-6)*-2 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115*o**2 - 3057*o**2 - 2096*o**2 - 6544*o**2.\nAnswer: -12812*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(275)*-1)**2.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000087583833 to 7 decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 182 = -16*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 106 + 3*h - 149 + 0*h + 10*h.\nAnswer: 13*h + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/((-4)\/((-32)\/(-20))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 34*u - 1. Let g(w) be the second derivative of 35*w**3\/6 + 2589*w. Calculate 3*g(c) - 2*q(c).\nAnswer: 37*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98385 is divided by 7003?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 25*h**4 - 258*h**3 + 491*h**2 + 948*h - 1944. Let g(y) = 7*y**4 - 85*y**3 + 164*y**2 + 316*y - 648. Let c(z) = -6*d(z) + 21*g(z). Factor c(v).\nAnswer: -3*(v - 2)**2*(v + 2)*(v + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(104\/121459)*10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/1483 + 326421\/10381. Factor 50\/7*z**4 - 88\/7*z - d*z**3 + 282\/7*z**2 + 8\/7.\nAnswer: 2*(z - 2)**2*(5*z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262 + -510. Let u = -136 - j. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/14)*v**(-3)*v**(-9\/5)*v*v**(-21) assuming v is positive.\nAnswer: v**(-1741\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30788 = -71*j + 9753. Calculate the remainder when j is divided by 206.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*b - 54, 24 = 5*b - 4*b - 5*f. Suppose -4*g + b*g + 44 = 4*w, 0 = -g. What is the least common multiple of w and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186*a**2*d - 2*a**2 - 2*a*d - 2*a - 29*d wrt a?\nAnswer: 372*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 271*g - 12. Let x(i) = 271*i - 9. What is 3*h(k) - 4*x(k)?\nAnswer: -271*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - q + 1. Suppose -5*v - 2 = -7. Let b be h(v). Let y be -9*b*(-3)\/18. Solve 4*s = y + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Suppose -a - 3*q = a - 40, 0 = n*q. Solve -4*c + a = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(28)*-2)\/sqrt(4) + 3 - sqrt(56)\/(sqrt(512) + (sqrt(512)*-1 - sqrt(512) - sqrt(512)) + sqrt(8))).\nAnswer: -15 + 29*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*r + 197, r + 2*r + 2*m - 153 = 0. Suppose f - r + 7 = -p, -5*f + 3*p + 254 = 0. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1329.06 + -1304. Let y = -26 + s. Let w = 0.06 - y. What is the nearest to w in 4, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 7*t**2 - 3*t + 4. Let y be 5 + 0 - (4 + -6). Let v be m(y). Is -17 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7725.000012339 - 7725. Round h to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -o. Let c be (-33)\/o*(-17 - 3). Let p(l) = 2*l**2 + 2*l - 2. Let r be p(-4). Calculate the greatest common divisor of r and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, g: 15}. Give prob of sequence dgg.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**2 + 3033096*i + 574979459076 = 0?\nAnswer: -379137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 6*w**2 - w - 1. Calculate r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 8*h - 9. Let i be o(-6). Let t(q) be the third derivative of 0*q**i + 0 + 1\/60*q**5 + 0*q**4 + 0*q + q**2. Factor t(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 727311*z - 466463?\nAnswer: 727311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**2*w**2 - 2*d**2*w + 1736*d**2 + 992*d*w**2 + 2*d*w - 8 wrt d?\nAnswer: 14*w**2 - 4*w + 3472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*w - 55 = 0, -5*j + 0*j + 10 = 4*w. Suppose j*n - 173 = 2*n + 5*r, -n + 42 = -r. Calculate the remainder when n is divided by 38\/3 + 3\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/7*56\/440?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1612\/(-4030)*(5\/3)\/((-2)\/126).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.5779, -0.7, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + -6*-6*(2 + (-5*(sqrt(637) - sqrt(637)*-2)**2 - sqrt(637) - ((1*sqrt(637))**2*-3 + sqrt(637)))).\nAnswer: -963064 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15321253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 1. Let b be r(-3). Suppose 5*y - x - 37 = 0, -2*y + x + 2 = -11. Suppose -4*i + 8 = -2*z, 0 = 4*i - b*i - y. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 108 = -0*d + 9*i, i = 0. What is the highest common divisor of d and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52a (base 16) to base 11\nAnswer: -aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -3969088.\nAnswer: -15876352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708780.\nAnswer: 2, 3, 5, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15636 + -8150. Suppose -t + 49926 = 40*z. List the prime factors of z.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5677 - 5676. Which is the nearest to d? (a) 2\/13 (b) 0.07 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 221701, 443399, 665091, 886777, 1108457?\n\"Answer: -3*l**2 + 221707*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 8:23 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 22*d**2 + 1282*d + 3952. What is r(-55)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -659, -656, -653, -650?\n\"Answer: 3*j - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b**2. Let x(k) be the third derivative of 1\/6*k**4 - 11*k**2 + 0 + 0*k**3 - 2*k. Give z(x(d)).\nAnswer: -208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*f + 9, -f - 6 = -5*z. Solve 5*x = 2*s - 31, z*x + s - 5 = -4*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -333 - 83?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 504 - 506. Let f = 171 - 170. Sort x, f, -83 in ascending order.\nAnswer: -83, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 24. Let s be ((-9)\/(-3))\/(1\/y). Let w = s - -62. Calculate the remainder when 66 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 124965007 and -4.\nAnswer: 124965003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*m - 39, 0 = -5*m + 2*n - 0*n + 84. Let y be (-3)\/m*(-1 + -3). Factor 2\/3 + y*k**2 - 4\/3*k.\nAnswer: 2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 376091905 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + 0.02. Let p = i + 0.014. Let o = -0.0640116 + p. Round o to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258 - -285.8. Let y = -1.2 + f. Let s = y - 27. Which is bigger: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1059, 28, -21, -5 in descending order.\nAnswer: 28, -5, -21, -1059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11925571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z - x = 35, -3*z + 4*x = -4. Let i(p) = -z - 5*p**2 - 4*p**3 - 5*p + p + 5*p**3 + 0*p. Give i(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/3 + 2901*n - 442176.\nAnswer: (n - 141)*(5*n + 9408)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -16*s**2. Let w(p) = -p**2 - 9*p - 1. Let l(a) = 3*a**2 + 54*a + 6. Let q(d) = 5*l(d) + 30*w(d). Calculate q(v(k)).\nAnswer: -3840*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/30 - 26*o**2. Let s(k) = -10*k. Determine h(s(q)).\nAnswer: -200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let h(b) = -b. Let n(o) = -5*o. Let f(r) = 4*h(r) - n(r). What is k(f(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a42 - 5?\nAnswer: 1a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/27 - (-1546483)\/783?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025616 (base 14) in base 13?\nAnswer: -176ac48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -315 * -5\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827315593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 195\/27) + (-2)\/(-1). Put 9, p, 1 in increasing order.\nAnswer: p, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17912, -36082, -54250, -72416, -90580, -108742?\nAnswer: -126902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1508*g + 407. Is h(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 12935 (c) -5558\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 2*f - 4. Let d be r(4). Let s be (2 - -1) + 8\/d. Put 4, -2, s in ascending order.\nAnswer: -2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 175?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and 0.23.\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 664 = -m, -3*h = -377*m + 389*m + 116 + 133 for h.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -447*p - 440*p + 885*p + 213*p**2 in the form f*p + n*p**2 + d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63471196, -63471214, -63471234, -63471256, -63471280, -63471306?\n\"Answer: -r**2 - 15*r - 63471180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 0 + 0 + 6*q - 4*q - 5*q + (-5*q + 2*q + 10*q)*(6 - 4 - 3) in the form m + n*q and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*2*sqrt(108)*-3)**2 + 3).\nAnswer: -174975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(6\/7)*x))\/x**(5\/2))\/((x\/(x**(-2)\/x)*x)\/x**0))\/(x**1\/(x*x\/x**(2\/9)))**(-2\/13) assuming x is positive.\nAnswer: x**(-13885\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3515*u = -3603*u + 2376 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*u - 843*u - 470*u + 64173 = 4931 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdub when four letters picked without replacement from {p: 5, h: 2, t: 3, d: 1, b: 2, u: 6}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 - 340\/(-20) - (6 - (1 - -2)). Let d(h) be the first derivative of 1\/3*h**3 + 4\/5*h - 1\/20*h**4 - 4\/5*h**w + 10. Factor d(o).\nAnswer: -(o - 2)**2*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 1, -7 in descending order.\nAnswer: 1, -3, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 27\/98, -1, -0.5, 0.1, -0.4, -4.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(300))\/sqrt(4) - (sqrt(75)*3 + 0))*-1.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 + 5*w - 3 + w**2 + 9*w**2 + 0. Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98904853 divided by 1354861\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x + 0 + 7\/150*x**5 + 2\/15*x**3 + 3*x**2 - 1\/150*x**6 - 7\/60*x**4. Determine p so that u(p) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1176)\/490)\/((4\/5)\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1761*y - 102727 + 102727.\nAnswer: -1761*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 12. Let q = w - 1. Is -1\/3 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*f + 15, -2*x + 2*f = -2 + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 72. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-9) + -3 - 6\/(-18). Suppose v - 5*i - 183 = m, -5*v + 2*i - 3*i + 811 = 0. List the prime factors of v.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1546070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49138 and 4?\nAnswer: 196552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d. Let l be v(-1). Let p = -3 + l. Suppose -g - p = -20. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -83*h**2. Let j(m) = -3485*m**2. Give 2*j(n) - 85*w(n).\nAnswer: 85*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56096527 is divided by 381.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -410617642 and 8.\nAnswer: -410617634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 26*v - 15. Calculate the smallest common multiple of 3 and l(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.652204 centimeters?\nAnswer: 6522.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a - 51. What is f(-10)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 15*q**4 + 3 + 0*q**3 - 3*q + 13\/2*q**2. Let u be v(11). What is u rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 26)*(-12)\/36?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9343818, 9343810, 9343802, 9343794?\nAnswer: 9343786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/32 and 29\/1740048.\nAnswer: 3480096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Let q(t) = -t**2 + t. Let n(o) = -6*o**2 - 2*o + 1. Let f(y) = w*n(y) - 5*q(y). What is the units digit of f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 37. Let u = t - -12. Suppose u*y = 3*y. Solve 5*j = -y*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/(-15))\/5)\/((-1)\/((-24)\/2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -162864, -162859, -162852, -162843?\n\"Answer: g**2 + 2*g - 162867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.39543 and -3?\nAnswer: -1.18629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 677, 2672, 5999, 10664, 16673?\nAnswer: 24032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/3 + 637760*d\/3 + 20336890880\/3.\nAnswer: 5*(d + 63776)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgxccxgtxxgxcxcxjxg. Give prob of sequence tgc.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-6) + 27 + -1. Suppose -15*r + 14*r + c = 0. Suppose 0 = 2*h - 51 - r. Calculate the least common multiple of h and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-4)\/((-8)\/(-2)) + 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -3, -31, 1326 in descending order.\nAnswer: 1326, 9, 0, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/15 + s**3\/3 + 2*s**2. What is the first derivative of j(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:13 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 15*g - 15. Let z be q(-14). Which is the second biggest value? (a) -5 (b) -3 (c) z (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(63))**2 - (-2 + sqrt(63)*-2).\nAnswer: -1510 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -91 (b) 1 (c) 3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + -14 + 24 + 1 + -14?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 71 - 91 = 0. Let l = -135677 + 135765. What is the remainder when l is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121.5843 * -11\nAnswer: -1337.4273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 7*h + 9. Suppose 3 = 6*b - 45. Let y be d(b). Does 3 divide -14 + 13 + (y - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*g*k*r - 181*g*r + 3*g + 75*k**2 wrt k?\nAnswer: -9*g*r + 150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(3\/31)*(g**(3\/2))**(-9\/13) assuming g is positive.\nAnswer: g**(-759\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15497347 is divided by 49?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -h + 5, 2*j = -5*h + 28. Let l be (-2)\/(-6)*6*2. Solve -a - 25 = 2*y + l*a, 0 = j*y + 2*a + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 7*z - 4. Let w be a(6). Let k = -2 - -4. Find the second derivative of -3*v + 2*v + v**w + k*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 92*c - 134. What are the prime factors of k(14)?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 8 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**3 - 271*r**2 + 579*r - 30. What is o(52)?\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/(-12))\/(-3 - 75\/(-20)). Solve g + 5*m - 2 = 0, 4*m = 3*g + 8*m + u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*c - 3076, 13*c - 6194 = -4*u + 11*c. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 394805 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 6. Let p be t(6). Suppose 0 = 3*u - p, -4*n - u + 30 = -10. Let z(h) = -h**2 + 9*h + 9. What is z(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 68 - 18*q + 29)*(208*q**2 + 65*q**2 + 23*q**2) as s*q + k + u*q**2 + g*q**3 and give u.\nAnswer: -2368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r + 5. Let h(a) = 2*a**2 + 2*a - 4. What is the units digit of h(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -64.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 + 32819606*i - 32819606*i.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-2840)\/(-1633)) - 15\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 0.1, 1\/4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -340.8 + 341. What is the closest to 1 in 2, 0.05, j, 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-168)\/(-63)*((-88)\/16 - -7). Let h(g) be the first derivative of -36 - j*g + 1\/4*g**4 - 3\/2*g**2 + g**3. What is h(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*9\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.852141 to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 421*m - 32849. Determine q(78).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 11, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2 - u + 3. Let f = 0 + 5. Suppose -20 = 3*t + f*l, -l - 20 = 2*t + 4*l. Calculate p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17495 - 26300 = -543*o - 11215 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/70)\/(20\/(-162800)*-22).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 - 1686*g - 22. Let p(d) = 12*d**2 + 3370*d + 51. What is -7*i(s) - 3*p(s)?\nAnswer: -s**2 + 1692*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b*b**(2\/9)*b)*b*b))\/b**3*b**(2\/9)*b*b**(-4))**38 assuming b is positive.\nAnswer: b**(-1558\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 3*f)*(5 + 1 - 2)*(-2 + 0 + 0).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 583073867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -84827.346 to the nearest ten.\nAnswer: -84830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-l + l + l)*(-4 - 2 + 4)*(-46 - 5*l + 46)*(-2*l + 6*l - 2*l)*(-39*l + 101*l - 53*l).\nAnswer: -360*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9732.4 rounded to the nearest one hundred?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -37*k + 11520. What is the highest common factor of 108 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 275586999*o**2*s - 395*o**2 - 41752*o wrt s.\nAnswer: 275586999*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2051015*i + 3605631 wrt i.\nAnswer: 2051015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56920.59 centuries to decades.\nAnswer: 569205.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -981 + 1009. Let z(k) = -k - 1. Let a be z(-1). Let v be a\/((-1)\/((-1)\/2)). Solve -4*d = b - 20, v = d + d + 5*b - i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 6*q + 3*q**2 + 0*q**2 + (0*q + q + 0*q)*(q + 1 - 1) + 0*q**2 + 3*q**2 - 2*q**2 in the form n*q**2 + a*q + y and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344121700 rounded to the nearest 1000000?\nAnswer: 344000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p + 5*p - 18*p + 2088 = 1693 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-72))\/(8\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(6105\/1665)\/((-5)\/(-3))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:44 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 412 = 5*i - y, -y = -4*i - 330. Let c be (i\/552 - 15\/(-60))\/1. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/10)\/((-1)\/(-32)). Let t = v + 23. Let r(b) = -b**3 + 7*b**2 + b - 2. What is the remainder when 8 is divided by r(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 + 0*l**2 - 3*l**2)*(106*l + 55 - 55)*(-11 + 3 - 10) as a*l**2 + w*l + t*l**3 + o and give t.\nAnswer: 1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 + 124231336850?\nAnswer: 124231336847.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 870049123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/(73\/146)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {m: 1, g: 4, k: 3, h: 4, i: 5, y: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 59\/4. Let b = -47048\/3 + 15683. What is the second smallest value in b, -8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 1. Let t be ((-2)\/1 - -3)*2. Suppose 4*i = 4*y - 32, 4*i + 15 = -y - t. Let l(a) = -2*a**3 - 7*a**2 - 4. Give i*b(u) - l(u).\nAnswer: 2*u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/(-3)*6. Find the second derivative of -q*f**5 + f + 0*f + 7*f**5 wrt f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Let l(z) = -10*z + 72. Let p be l(7). Solve 0 = -f*c - p*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1153552 (base 6) to base 10.\nAnswer: 61772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssyyss. What is prob of sequence ys?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Suppose -65 = r*q - 8*q. Let j(k) = k**3 + 5*k**2 - 4*k + 5. What is the remainder when j(-4) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -7653370?\nAnswer: 7653372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99300 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7872122 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2154 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 9*o**2 - 9*o + 7. Let c be x(-10). Let b be (c\/(-1))\/((-1)\/(-7)). Suppose -j + 4*v = -2 + 9, j = -3*v + b. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3391300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, e: 8}. Give prob of sequence em.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2886145669 + 0.\nAnswer: 0.2886145669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104419*w**6*y**2 - w**3*y**3 + 13352*w**2*y**3 + 2*w**2*y**2 + 2*w - 5 wrt w.\nAnswer: -12530280*w**3*y**2 - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 - 9.12. Let p = q - -20. Let r = p + -10.99974. What is r rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*k + 168 = 67*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -625060?\nAnswer: -625053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941*t + 917*t - 144 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-312) - (-14247149)\/1131 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.056 - -11.056. Let w = 3 - y. Which is smaller: 6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/120 + 7*x**5\/60 + 7*x**4\/12 + 7*x**3\/6 - 5*x**2. Let w be q(-4). Is 1\/w*(4 + -2115) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.006 - 0.006. Which is the second biggest value? (a) l (b) -0.3 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 92, -3, -5, 3 in increasing order.\nAnswer: -5, -3, 0, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75325, -75243, -75161, -75079?\n\"Answer: 82*k - 75407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-2)\/18 + (-8754)\/(-9). Let i = m - 513. Does 46 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 - 61 = 5*u, 60 = -5*u + 2*q. Let s(p) = 2*p**3 + 22*p**2 + 13*p - 12. Is 58 a factor of s(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {b: 4, c: 7, k: 5}.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k**3 - 154*k**2 - 1092*k - 1728. Let o(d) = 31*d**3 - 618*d**2 - 4369*d - 6906. Let g(n) = -11*f(n) + 3*o(n). Solve g(c) = 0 for c.\nAnswer: -3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7709666 is divided by 6309.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -182. Suppose 14*g - 15*g + c = 0. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3228 and 46656?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 2. Let b(z) = 14*z + 5. Suppose 10*w + 22 = 8*w. Determine w*t(y) + 4*b(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 1. Let i(d) = -6*d + 16. Let b(z) = i(z) - 5*q(z). Let x(s) = -1. Calculate 4*b(j) + 44*x(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/30 + 5*u**4\/6 - 3*u**3 + 13*u**2\/3 + u - 76. Factor i(z).\nAnswer: -2*(z - 13)*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10021904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*z + 2356 + 32*z - 2410 - 507*z - 257*z.\nAnswer: -669*z - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/4 + (-765)\/170. Let b(m) = -7*m - 48. Determine b(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 5 + (9 - 23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, -5 in decreasing order.\nAnswer: 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:57 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 - 5*r**3 - 2*r**3 + (-r**2 - r**2 + 0*r**2)*(-2*r - 4*r + 5*r) - 4*r**3 - 2*r + 2*r)*(-3*r + 1 - r - r).\nAnswer: 60*r**4 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -4.05. Let k = -3.9994 - l. Round k to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -158*b - 25*b + 1. Let a(k) be the second derivative of -18*k + 0*k**4 + 1\/95*k**5 + 0*k**3 + 0*k**2 + 1\/285*k**6 + b. Factor a(u).\nAnswer: 2*u**3*(u + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/3)\/r)**(-20) assuming r is positive.\nAnswer: r**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (618\/216)\/((-5)\/10) and (-262)\/(-1220) - (-9)\/(45\/2).\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/274 in -0.2, 4, 2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eky when three letters picked without replacement from tklemkyl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 23615, 9, -1, 5 in decreasing order.\nAnswer: 23615, 9, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = 5*g, -4*g = 35*q - 41*q + 48. Solve q*h + 126 = -30*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 19 = -59. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1836, 3585, 5334, 7083?\nAnswer: 8832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 87. Let x be (9 + -11)\/((-2)\/4). Suppose p = 5*j + x. Solve -7 = j*k + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -216 and -1126\/57 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11253417?\nAnswer: 3, 7, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -d + 17209, -5935 = -s - 3*d + 2677. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011514063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178.15 + 178. Let k = 0.29 + c. What is the second smallest value in -0.3, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14 (b) 0.4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123964 by 68.\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8262\/(-2142))\/(12\/56)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**3 + 29945*s**2 + 16*s**4 - 17249*s**2 - 16281*s**2 - s**6 wrt s.\nAnswer: -120*s**3 + 384*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2. Suppose 3*n - 2*n = 4*w - 146, 4*n + 177 = 5*w. Let f(c) = -w + c**2 + 37. Determine h(f(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9834 divided by -11.\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*g - 10. Let q = g - -9. Suppose 0 = -3*w - 3*a + 162, q*w - a - 178 = -w. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from hunhuuhnh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 4*v**2 + v**2 + (-3 + 3 - 4*v)*(-2*v + 6*v - 3*v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102674797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1389, -1394, -1399, -1404, -1409?\n\"Answer: -5*l - 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**5)\/g)**(1\/15))**40 assuming g is positive.\nAnswer: g**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -7218370.\nAnswer: -7218369.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 - (-305)\/35. Find the third derivative of l*g**4 + 17*g**2 - 57*g**2 - 106*g**2 + 37*g**4 wrt g.\nAnswer: 1104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 373 and 6402.\nAnswer: 2387946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1100010 (base 2) to base 5\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from cccvcvvvcvvcc?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -0.1. Let y = 0 - v. Let k = 0.1263 + 0.0737. Which is the second smallest value? (a) k (b) y (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 4*f**2 + 3. Let w be m(4). Suppose 3*d = 2*q + 32, 0*d + w*d + q = 29. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 163*f - 4232, 1147*u + 104 = 4*f + 1152*u + 15 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = l + 6*c - 26, 4*l - 36 = -3*c. Is (10\/l)\/((-2)\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**4 - 309*t**3 + 4032*t**2 + 37953434*t wrt t.\nAnswer: 48*t**2 - 1854*t + 8064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 22 - 35 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - 50) + 74 - (-6 + 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 51*y - 27 + 32 - 32 - 2*y + (-3*y + 0*y + 4*y)*(0 - 2 + 5) to the form j + v*y and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -2b9229?\nAnswer: 2b9228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 0. Suppose 0*k = -4*k + x. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 2*z)*(-1 + 3 - 3) + 3*z + 0*z - 6*z + ((2 + 1 - 2)*(-1 - 1 + 1) - 1 + 4 - 1 - 2 + 2 + 1 - 3 + 7 - 1)*(-z + 2*z - 3*z).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m - 5. Let r be k(-3). Let c = 20 + r. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89996, -89745, -89062, -87731, -85536, -82261?\n\"Answer: 36*y**3 - y - 90031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3493*y**2 + 2*y - 1. Let q be x(1). Let u be 3\/5 + q\/20. What is the units digit of (u\/(-9))\/(6\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118457\/8295 - 840\/79. Let a = -18\/5 + m. Find the common denominator of (-5)\/(-45)*(-2)\/(-4)*-71 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*p + 820*p - 502*p)*(5 - 7 + 0 - 2*p)*(-3 + 4 + 1)*(0 - 2*p + 0).\nAnswer: 3608*p**3 + 3608*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1842*p**4 - p - 4243 wrt p?\nAnswer: 22104*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305851 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: Suppose 5*f = 7*f + 9*s - 70553, 105707 = 3*f - 4*s. Does 86 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 730*a + 2921. What is v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*i - 1362 - 1773 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (0 - -1 - 62)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 26*w + 450 = 0. What is the smallest common multiple of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4\/3))**(22\/9)*m**0*m**9*m assuming m is positive.\nAnswer: m**(424\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.10147545 and -4457?\nAnswer: 4457.10147545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 23*t. Let m(w) = 9*w**2 - 17*w**2 + w**2 + 0*w**2. What is m(u(x))?\nAnswer: -3703*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003463379 rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*sqrt(112)*2)\/(sqrt(4) + sqrt(4) + (sqrt(28)*-2)\/sqrt(7) + sqrt(4)) + -4)**2.\nAnswer: 48*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 4*h**2 + h - 2. Let m(r) = -4*r**2 + 71*r - 35. What is the least common multiple of m(17) and t(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -300*r + 48 + 305*r + 53 to i + f*r and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/((-6)\/(-84)). Let m = 30 + p. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let d be c\/4*-6*2. Let y be (2\/6)\/(6\/72). Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -18 (b) -1 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = o. Let k be 45\/(-27)*(-36)\/10. Let u(y) = -y**2 + 6*y + 3. Let x be u(k). Solve o*f + 4*q + 23 = 0, 6*q + 19 = -x*f + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + 555 - 4*d**3 - 29 + 436.\nAnswer: d**3 + 962","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -26. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*f + 2*d - 54 = 369*f, 2*f - 2*d = 2*f - 48 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(162\/144*(-8)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {o: 2, l: 3, r: 3, b: 5, u: 5}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d = -16*d + 27 - 27 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 558307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -285521 at least -285520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164.115 litres to millilitres.\nAnswer: 164115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 22 = 50. Let i(h) = -32*h + 73. Is i(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14192*h - 14184*h - h**5 + 6 + 2 + 7*h**3 - 29 wrt h.\nAnswer: -20*h**3 + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0 + 25\/25. Let m = -11 + 11.1. Which is the biggest value? (a) m (b) 1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.4 - 0.6. Let m = 5.5 + s. Let u = 0.2 + m. Which is the third smallest value? (a) 5 (b) 1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 2*y - 1. Let g be f(-2). Let u(w) = -w**3 - 4*w**2 + 7*w + 7. What is u(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, 2, 21, 58, 119, 210?\n\"Answer: m**3 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**2*r**4*w - 207*g**2*r**2 + 6806*g**2 + 23010*g*r**4 + g*r*w wrt r?\nAnswer: 216*g**2*r*w + 552240*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 3*j - 5*j + 7*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21084 - 3.\nAnswer: -3.21084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/7 - 249*n**2\/7 + 1936*n\/7 - 3648\/7.\nAnswer: (n - 8)**2*(n - 3)*(n + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1029) - -2*sqrt(1029))*-5)\/((-1*sqrt(252) - sqrt(252)) + sqrt(63)*5 + sqrt(7)).\nAnswer: -105*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:17 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - d + 1 + 0*d + 6*d + 3*d + (2*d + d - 5*d)*(0 - 2 + 3) to the form l + t*d and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*c + 2*c = -25*c - 960 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56910888.\nAnswer: 2, 3, 790429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24351874 is divided by 3789.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 32*c + 10. Let i be g(-3). Let z = 30 - i. Calculate the greatest common factor of z and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b. Let q be k(-4). Suppose 3*x + 86 = -5*g + x, -4*x = q. Suppose 4*z + 30 = 2*z. Does g = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 16. List the prime factors of u(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 4. Suppose 2*c - 5*c = 0. Let d be l(c). Solve -p - 1 = y, -5*y = -d*y + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*z - 17*z + 109*z)*(-19*z - 6*z**3 + 19*z + (-3 + 3 + z)*(-10*z + 10*z - 2*z**2)) to k*z**3 + u + p*z + x*z**4 + s*z**2 and give x.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17471 + 7568457.44.\nAnswer: 7550986.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*s**3 - 41164*s - 36020861?\nAnswer: 57*s**2 - 41164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2483, 2484, 2485?\n\"Answer: q + 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 34, 28, 2, -56, -158, -316, -542?\n\"Answer: -2*f**3 + 8*f**2 - 8*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 4*u**2 + 5. Let r be w(4). Suppose 86*i - 10 = 81*i. Suppose -i*q + y - 6*y + r = 0, -q + 2*y + 12 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1430467\/306 + 112338\/17. Let z = n - 1929. Let o = 61\/3 + 7\/6. Calculate the common denominator of z and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155558 (base 12) to base 8.\nAnswer: -1302724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/1778 (b) 121 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242 is divided by 413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -129545, -129666, -129787, -129908?\n\"Answer: -121*r - 129424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -514\/9. Suppose -4*w + 5 = -3. Suppose 0 = z - 3*z - w. Which is the nearest to z? (a) f (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 4) to base 2\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3492313km?\nAnswer: 349231300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/3 + 13*p**4\/3 + 17*p**3\/3 - 37*p**2\/3 - 68*p\/3 - 28\/3.\nAnswer: -(p - 14)*(p - 2)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11647 + 32508. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5291 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35041749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18.44861 millennia?\nAnswer: 184.4861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 34*m - 67. Suppose -t - 29 - 7 = 0. List the prime factors of r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/(r*r**35))))\/(r\/r**(-2\/117)*r) assuming r is positive.\nAnswer: r**(-4214\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let b(h) = -8*h**3 + 7*h**2 - 4*h + 2. Let i(u) = 9*u**3 - 8*u**2 + 4*u - 2. Let d(y) = -5*b(y) - 4*i(y). Is 13 a factor of d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/560 - g**7\/840 + g**6\/144 - g**5\/15 + 6*g**2. Let r(q) be the third derivative of n(q). Is r(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c - 34591 = -14*c - 32591 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 501.1926 millilitres?\nAnswer: 0.5011926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 45. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 37*z - 2. Suppose 0 = 79*l - 78*l + 19. What are the prime factors of u(l)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25268 and 127799227.\nAnswer: 6317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1320325*c**3 - 185172*c wrt c?\nAnswer: 7921950*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 17*t**2 - 19*t - 18. Let o be y(-18). Suppose 5*h + 45 = -4*r, -h + 15 = 5*r + 45. Sort 2, o, r in descending order.\nAnswer: 2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kykk when four letters picked without replacement from {r: 1, k: 4, v: 1, y: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -9*p**6\/8 + p**5\/10 - 5*p**4\/24 + p**2 - 70*p. Find the third derivative of l(g) wrt g.\nAnswer: -810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -22*n + 0 + 13\/20*n**5 + 0*n**2 - 7\/3*n**3 + 0*n**4. Find the second derivative of g(p) wrt p.\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.119 - -0.609. Let q = k + 2.51. Which is the closest to 1\/2? (a) -1\/2 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8225 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -1 - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m**3 - 3*m**2 - m + 3. Suppose 9 = 37*u - 28. Let o = 17 + -9. Calculate the least common multiple of s(u) and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -21\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 (base 12) in base 6?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 - 6*r. Let j be t(8). Let h(y) = y**2 - 8*y + 3. Let p be h(8). Let q = p + -3. Solve -4*s = -4*o - j, q*o = -2*o + 4*s - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 85\/774216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**2 + 6*i**2 - 3*i**2 - 10*i**2. Let g(w) = 3020*w**2. Calculate g(x(q)).\nAnswer: 3020*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -23. Let k = 0.7 - -0.3. What is the biggest value in f, 6, k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/7 - 45*c**2\/7 - 93*c\/7 + 372. Let w(s) = 0. Calculate s.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 7*o - 3. Let z be r(7). Let w be z\/6 - (0 + -1). Let n = -5.9 - -2.9. Sort n, w, 2\/5 in decreasing order.\nAnswer: w, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025647305 rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 17 = 5*v, 4*v - 5*p - 23 = 2*v. Which is the second smallest value? (a) 0.3 (b) 0.03 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 2*t**2 - 11*t + 15. Calculate z(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/123 (b) 1.07 (c) 0 (d) 1\/7 (e) 1\/5 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 16. Give p(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**3\/3 + 2585*n**2\/3 + 3506680*n\/3 + 3498880 = 0.\nAnswer: -616, -3, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -18. Let n(d) = -d**2 + 0*d**j + d**2 - d**2. Let h(w) be the second derivative of -2*w**4\/3 + 42*w - 2. Determine n(h(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1 - 6 - i + 0*i. Let s(q) = -q - 6. Let j = -29 - -21. Let z = -13 - j. Give z*s(g) + 4*f(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.934 + -7.934. Suppose 0 = -5*j - 2*s + 30, -2*s = 3*j - 8 - 6. Which is the biggest value? (a) -0.2 (b) j (c) q (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, -67.4, 3\/5, -25.3 in descending order.\nAnswer: 28, 3\/5, -1, -25.3, -67.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -16*l**4 + 8*l**2 + 5*l - 8. Let a(c) = -17*c**4 + 9*c**2 + 6*c - 9. Let s(m) = -4*a(m) + 5*b(m). What is the second derivative of s(z) wrt z?\nAnswer: -144*z**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 904475 = 7*h + 6*h + 237422575. Round h to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 2*s - 2*i + 56, -2*s + 2*i + 16 = 0. Let m be 6\/8 + 15\/s. Suppose 0*t - m*t + 18 = 0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 90 - 281 - 40*i.\nAnswer: -40*i - 374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5950211974.\nAnswer: 2, 7, 8431, 50411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*12\/(-9)*(-1)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3098 - -0.021687.\nAnswer: 3098.021687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-eight fifths of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -1.1017 in descending order.\nAnswer: 5, -0.3, -1.1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/210)\/(-2 + 3)*-6. Which is the third smallest value? (a) -53 (b) -5\/2 (c) u (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 37*r**2 - r + 48. Let d(c) = 13*c**2 - c + 17. Let o(b) = 8*d(b) - 3*x(b). Let m(a) = -2*a**2 - 2*a - 3. Determine 8*m(j) - 3*o(j).\nAnswer: 5*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 - 2*s + 4. Let r be k(-7). Suppose r = -0*h + h. Calculate the remainder when 35 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3113130 - 2?\nAnswer: -3113132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13877096777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-7919772)\/(-44) + 2\/11. What is f rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.37 to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 730*t**2 - 7*t - 9. Let g(m) = -365*m**2 + 3*m + 4. Let j(x) = -2*f(x) - 5*g(x). Let p be j(-1). List the prime factors of (p\/12)\/(5\/15).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5430 = 13*m. Let y = -586 + m. Let s = y - -398. What are the prime factors of s?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*p)*(-2*p**4 - 4*p**4 + 7*p**4) + 16*p**5 - 52*p**5 - 79*p**5.\nAnswer: -112*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + -4 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10277353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 42. Let q(l) = 2*l**2 - 3*l. Let k(i) = 2*i**2 - 3*i. Give f*k(r) + 2*q(r).\nAnswer: -2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(108)*-1 - (sqrt(66)\/sqrt(48))\/sqrt(11))**2.\nAnswer: 49\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31091.084 - 31040. Let k = u + -51. Let t = k + -0.051. What is t rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, t: 2, s: 2, q: 7, e: 3}. What is prob of picking 2 s, 1 q, and 1 k?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afx when three letters picked without replacement from fauuxfxxxxxxxxxxfuu.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -6 + 7 + (4 - 42)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*l + 11, 2*l + 7 = -4*g - 3. Let p be (12\/8)\/(3\/g). Sort p, -5, 1, 2 in ascending order.\nAnswer: -5, p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64365433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (280\/448)\/(2794\/(-8388)). Let j = z - -9\/254. Let u = -2554 + 10155\/4. Find the common denominator of j and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2, 1, 1435?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-33)*((i**(1\/3)\/i*i)\/i)\/(i\/i**(-1\/4)*i))\/(((i**(-6)*i)\/i)\/(((i**(-1)\/i)\/i*i)\/i)*(i**(1\/3)*i*i)\/(i*i\/i**(-2\/7))) assuming i is positive.\nAnswer: i**(-923\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -192*q**2 + 71\/2*q**4 + 1\/14*q**7 - 7\/5*q**6 - 16*q**3 + 93\/20*q**5 + 0 - 107*q. Determine o, given that i(o) = 0.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15257, 61047, 137363, 244205, 381573?\nAnswer: 549467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4434403, -21 in descending order.\nAnswer: 4434403, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p + 2140172 = 11743896. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + (sqrt(832) + (sqrt(832) - (1 + sqrt(832))))*-2*-1))**2 - (0 + 2 + 4 + (sqrt(832) - 2*sqrt(832))*1).\nAnswer: -88*sqrt(13) + 3331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1389 = 5*h - 76, 0 = h + 3*p - 293. Let s = 17 + h. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/5)\/(-2)*(-1 - -1). Let w be 37\/4 - (-2)\/(-8). Suppose -s + 3*j - w = -2*s, 5*s - 2*j - 96 = i. What is the remainder when 89 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 481*d - 1885. Does 33 divide h(171)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 32644258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 12 + 5*d - 4*d - 11 + 18. What is the tens digit of v(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + sqrt(637)*-2*2 + -3 - (-4 + 1 + sqrt(637) + (sqrt(637) - -5*(0 + sqrt(637) + sqrt(637))) + 5)))**2.\nAnswer: 8064*sqrt(13) + 5870628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109\/15 - 23\/3. Which is the nearest to 1\/5? (a) 0 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.14 + 8.14. Let g = 11 + -32\/3. What is the closest to g in a, 3, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1628 or 60872?\nAnswer: 60872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43044047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 6:03 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 816365053 to the nearest integer?\nAnswer: 28572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-1 + 1)) + -31 + 36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2404478 is divided by 801460?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzuzzzuzzuuzu. Give prob of sequence zuz.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/479?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 5) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 361026 divided by 558?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5435?\nAnswer: 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + s - 2*s + (-1 + 2 + 0)*(0*s + s - 2*s) to the form w + a*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6 + 2214\/(-1620)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*l**2 - 2176*l\/5 - 97856\/5.\nAnswer: 4*(l - 44)*(25*l + 556)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1. Let y(z) = 1 - 20*z - 19*z + 1 + 40*z. Let w(s) = -2*t(s) + y(s). What is w(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/12 + y**3\/2 - y**2\/2 - 12*y. Let z = 3 - -7. Calculate the remainder when g(-7) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*q = -698, r + 256 - 23 = -q. Let h = r - -419. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.067358 + 2045.\nAnswer: 2044.932642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 2 g when four letters picked without replacement from {f: 6, m: 1, r: 1, h: 1, g: 3, q: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:52 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.472 litres in millilitres?\nAnswer: 236472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + q + 10. Let u be x(0). Let t = u - 8. What is the second smallest value in -0.5, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*l**2 - 114*l**2 + 204*l**2 - 157*l**2.\nAnswer: 52*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 8*p - 4. Let a be k(5). Suppose -34 = q - a. Let r = q - 18. Let v(h) = -2*h + 3. Let d(g) = 1. Calculate r*d(j) - v(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1*-4 + 6*sqrt(78)*1)*3)\/((sqrt(240)\/sqrt(5))\/sqrt(8) + sqrt(6) - (sqrt(726) + -1*sqrt(726) - sqrt(726))).\nAnswer: 6*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (716 - 716 + 4*u - 32*u**2)*(-3*u**2 + 3*u**2 - u**3).\nAnswer: 32*u**5 - 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 <= 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o + 19. Let c be r(4). Suppose c*q + 21 = 10*q. Solve 0 = q*t - 4 - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(352)*5 - sqrt(352))\/(sqrt(8) - 4*sqrt(512))*-5)**2.\nAnswer: 39600\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -52. Let j = y - -21. Let r = -24.99999999 - j. Round r to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(2686\/(-68) - -38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**3 - k**2 - 6*k - 6. Let b be p(-1). Suppose 4*n - 3*l = 927, -b*l + 136 = 5*n - 1014. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 4311?\nAnswer: 7\/1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 t when three letters picked without replacement from {u: 1, i: 3, n: 2, t: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*m + 930 = 575*m - 114 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1735441637.584 - 11.\nAnswer: 1735441626.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184622 + 1184278 = 43*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5305055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 132 = 20. Suppose 5*k - 1 = 3*b, -4*b + b = -3*k + 3. Let l = 0 + k. Do v and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125723220 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2*(-10)\/(-8). Let i be y*3\/6*2. Let m be -2 + i\/3 + 1. Is 1 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10218*d + 88 - 23 + 10212*d)*(4*d**2 + 2*d**4 - 4*d**2).\nAnswer: -12*d**5 + 130*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a + 7 = 21*a + 19*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 23. Solve b*q = -5 - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118935783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + 120\/(-10) - (-1 + -958) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(((-5)\/730)\/((-9)\/(-6))). What is the greatest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 u, and 1 d when three letters picked without replacement from {u: 5, m: 2, q: 2, s: 2, d: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305117180 to the nearest integer?\nAnswer: 17468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1396 = -2*b - 4*p, 3*b = p - 2*p + 2109. Suppose 2*k - b = 18*k. Which is smaller: -43 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53 - 17 - 198*z**4 - 51*z**4 - 24 - 27 wrt z?\nAnswer: -996*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f - 181. Let b(i) = -33*i + 548. Determine -3*b(c) - 8*z(c).\nAnswer: 3*c - 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:09 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24))\/1*(-12)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84045465 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + n = 10*o - 21, 0 = -22*n - 132 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 227 - 0?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*r + 4. What is the smallest common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -275, -478, -681, -884, -1087?\n\"Answer: -203*h - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86\/47 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4\/70)\/(10\/1150)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302 - 101?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3551*x + 14024*x + 103255*x.\nAnswer: 120830*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.59 - -0.6. What is the third biggest value in 3, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**3\/3 + 5*v**2\/2 + 6. Let u(d) = -3 - 6*d + 4 + 1882*d**2 - 1883*d**2. Calculate -5*u(x) - 6*z(x).\nAnswer: -x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 48 = 8*w, 3*p + 5*w + 35 = 65. Let b(f) = -2*f**2 - 22 + f + 3*f**3 + f**2 + 2*f**2 - 4*f**3. Determine b(p).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 5) to base 4.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 186, 192, 200, 210?\n\"Answer: p**2 + 3*p + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 58*r**2 - 27*r + 53. What is x(2)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1561*r**2 + 267*r.\nAnswer: 3122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 8053800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - g**2 - 7*g - 10. Let r be i(0). Let y(u) = -u**3 - 2*u**2 - 5*u + 1. Let c(m) = 2*m**3 + 5*m**2 + 11*m - 3. Calculate r*y(f) - 4*c(f).\nAnswer: 2*f**3 + 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95 - 46) + -96 + 126 + -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1390 and 8.\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 - p**2)*(0*p + 0*p - p**2 + 0*p**2 - 5*p**2 - p**2 + (4*p + 0*p - 3*p)*(2*p - 2*p + p) + 3 + 3*p**2 - 3).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 56*f + 397. Let z(r) = 7*r**2 + 141*r - 992. Let d(g) = 12*m(g) + 5*z(g). Calculate d(24).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 r, and 1 b when four letters picked without replacement from {r: 2, k: 1, w: 2, p: 2, b: 1, a: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 19506.\nAnswer: 97530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1539) + sqrt(1539) + 1 + -1 - (4 + sqrt(1539) + 1)))**2.\nAnswer: -3240*sqrt(19) + 56304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/3 in -2, 2\/5, 3, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -35*y - 13. Determine p(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747996.8 micrometers to meters.\nAnswer: 0.7479968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.78348113 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420384*q + 1620 = -420339*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1334108 - 35933348\/27. Let b = q - 3242. Let l = -3600 + 118730\/33. What is the common denominator of l and b?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96022, 190382, 284740, 379096?\nAnswer: 473450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:51 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzgzgnzznznzzggzzzn. Give prob of picking 2 n and 1 g.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 2*r + 8. Suppose r*s + 3*s = 180. Let m be 8\/s*(-3)\/4. What is the biggest value in 1, 0.2, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3 + 8. Suppose -2*t + 3*t - m = 0. Suppose -5*w = -t*d - 1100, -4*d = -9*w + 4*w + 1105. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 47*w - 151. Let s be o(-3). Suppose -3*z - 3*u + 9 = 0, -u + 6*u = -3*z + 11. Sort z, -5, s, 0 in decreasing order.\nAnswer: s, z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523278872?\nAnswer: 2, 3, 71, 113, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 + 1190*q - 50280. Calculate i(-335).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-45)*(-80)\/168 + 72\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3044370 divided by 218\nAnswer: -13965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, 1 k, and 1 m when four letters picked without replacement from {a: 3, d: 1, u: 1, k: 6, m: 8}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 20*n + (-2 - 2 + 0)*(0*n - 3*n + 5*n))*(2 + 0 - 1 - 1 - 1 + 4 + (-4 + 3 + 0)*(3 + 2 - 7) + 2 - 5 + 2).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646400 and 1920?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 8, -4, 9.\nAnswer: -4, 1, 8, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-15)*28\/(-24)*21. Let o = d + -11\/3. Let z = -2 + 2.5. Which is the nearest to o? (a) -1 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 49588?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.095 (b) 2 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qooq when four letters picked without replacement from qqooqqqqooqooooo?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 3*r - 0*r. Suppose -5*y - 4 = 11, 107 = 2*a + y. Let v = a - r. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y)\/y**(-10\/3)*(y**(-3\/7)\/y*y)\/(y*y**(-3)) assuming y is positive.\nAnswer: y**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4) + (35 - 55) + 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/16)\/5)\/((-1)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -140223*(-2)\/(-27) - (-3)\/2. Let c = n - -10392. Let v = -4681 + 37525\/8. What is the common denominator of c and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + (sqrt(171) + 4*sqrt(171) + sqrt(171))*4 + sqrt(171)))\/(2*sqrt(9)*1))**2.\nAnswer: 11875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4773673 is divided by 1591219?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -3\/77473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-8))\/(9\/6444) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -3*z**5\/5 - 49*z**3\/3 - 339*z + 3093. What is the first derivative of d(v) wrt v?\nAnswer: -12*v**3 - 98*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 813 (b) -2 (c) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - j + 4. Let m(z) = -2*z**2 + 3. Calculate 3*m(r) - 2*n(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 2*t + 665, 5*t = -2*p + 237. Let z = p - 131. Is -4\/7 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21284, 4, 133 in descending order.\nAnswer: 21284, 133, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -499 * 0.5\nAnswer: -249.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - -0.2. Let b = -25 + 15. Let y = 17.2 + -22.2. Put h, -2, y, b in increasing order.\nAnswer: b, y, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {b: 1, c: 2, k: 1, u: 1, n: 4, y: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from {r: 1, m: 1, k: 1, f: 2, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/4 - 2592*k**2 + 5183*k = 0. Calculate k.\nAnswer: 0, 2, 10366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -1\/30*n**5 - 1\/24*n**4 + 0 - n + 1\/120*n**6 + 36*n**2 - 1\/6*n**3. Determine d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**6\/24 + f**5\/60 - 15*f**2. What is the third derivative of b(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37916, 37695, 37116, 35999, 34164, 31431?\nAnswer: 27620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - o + 2, -10*v + 14*v = 3*o - 6. Suppose 2*z + d = 3125, 4*z + v*d - 3*d - 6235 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -201, -0.1, 1.\nAnswer: -201, -1, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 1349, 4097, 9347, 17933, 30689, 48449?\nAnswer: 72047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvv when three letters picked without replacement from dvvhhvwavdvv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.172 + 15.872. What is l rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 + 872655*z**2 + 38072410200*z - 342722380500 = 0. What is z?\nAnswer: -87270, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 8:00 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20580974 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4505223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -3169\/30 + 211\/2. Let r(i) = -i**2 + i + 140. Let n be r(-10). Let k be -3 + (n\/25)\/(112\/260). What is the nearest to 2\/5 in f, 4\/7, k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25515 is divided by 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -844*g + 5959*g**3 - 984 - 28*g**2 - 61*g**2 - 95*g**2 - 5963*g**3.\nAnswer: -4*(g + 2)*(g + 3)*(g + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 12314144?\nAnswer: -12314201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/4)\/(40\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332594065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10586 is divided by 1321?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {q: 5, i: 3, h: 3, y: 1, k: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 17*j**2 + 33*j - 24. Let p be c(10). Solve -p*v = -42 + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, f: 4, c: 2}. What is prob of picking 3 l?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -0.42875877.\nAnswer: -0.12875877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537871?\nAnswer: 17, 61, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 819 + 8?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.1 (b) 3 (c) -2\/13 (d) -0.17 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + b - 3*b = -11, -4*b = -5*x - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuczzqqguqqf. What is prob of sequence ugf?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134500 by 538.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a8 - -4?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 24*x**2 + 41*x - 89. Let u be o(25). Suppose -7*a - u + 423 = 0. What is the least common multiple of a and 374?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.07 + -0.07. Let l = -0.3 + 16. Let d = -16 + l. Which is the biggest value? (a) s (b) 1\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*j + 797*j - 1563 = -29579 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**0*n*n\/(n\/(n**9\/n)) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 192.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003651697017 rounded to seven dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*m + 53, -4*m + 82 - 68 = 2*d. Let b = 508 + -250. Suppose 23*r - d*r = b. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 8*x**2 - 2*x + 6. Let o be (1 - 8) + 3 + -4. Let g be l(o). Suppose -5*u + 3*v = -26, -4*u - 5*v + g = -21. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -13. Let x = y - -7. Suppose -2*k + 3*f + 5 = x*f, 0 = -k + 4*f - 15. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-68)\/12)\/((-4)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 5622 = 2*z + 6*j, 5*z - 5*j - 14045 = 0. What are the prime factors of z?\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*q - 174*q + 0 + 446*q + 1 - 68*q to u*q + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjnsjjkjddjrjjr. Give prob of sequence nkk.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*x**2 - 14*x - 27*x**2 - 99*x**2.\nAnswer: 2*x**2 - 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 19*r + 301. Calculate the remainder when i(0) is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/80)\/((2\/5)\/(1001\/(-385)))\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20671627.\nAnswer: 20671627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6600\/(-20944) + (-2)\/(-68). Let w = 20 - 21. What is the nearest to -1 in w, 2\/19, -3, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 33427116*h**2 - 69835771968396*h + 69835738541284.\nAnswer: -4*(h - 4178389)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 19*g - 15*g, -5*g = -5*k + 15. Solve k*c = 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 250. Let l(x) = -22*x**2 - x. Let v be l(7). Let y = k + v. Round y to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + ((sqrt(121) - (sqrt(121) + -2*sqrt(121))) + sqrt(121))*6)\/((1*sqrt(88))\/sqrt(8)).\nAnswer: 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45\/4 of a minute?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257142765769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:03 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 64*z**2 + 886*z + 44. Determine o(-14).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660 is divided by 381?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*q - 805 = 0, 2*t + 955*q - 956*q - 322 = 0. Solve 3*s + t = 155 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 21*n**2 + 62*n + 459. Give u(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-16)\/140)*3*12\/(-90)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/33660 and -101\/15070.\nAnswer: 4611420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1 in decreasing order.\nAnswer: -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4 - s**3 + 2*s**2 - 4*s. Let u(h) = -25*h**2 - 11*h + 9. Let w(j) = 5*t(j) - 2*u(j). Factor w(z).\nAnswer: -2*(z + 1)*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 56 = -3*o - 4*s, -o + 4*s = 8. Solve 0*z - 4*z - o = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(225\/(-100)). Let q = -244.7 - -235. Let t = 4.7 + q. Which is the closest to -0.1? (a) 7\/4 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 5*u = -16*q + 10, -2*q = 3*u - 4. Let g = -2 + 4. What is the third derivative of -3*x**q - 15*x**4 - 4*x**g + 8*x**2 wrt x?\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*p - 4 = 6*h, 22 = -4*h - 2*p. Let a(n) = -8*n - 12. Let u(m) = m**2 - 6*m + 5. Calculate the least common multiple of u(9) and a(h).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**4 + 722*g**4 + 441*g**4)*(0 - 4 + 3).\nAnswer: -1153*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27565*b**2 + 2*b - 1324 wrt b.\nAnswer: -55130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1\/765684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*d + 7. Let u(s) = 5*s + 52. Let m be u(d). Suppose 148 = 3*r + m. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bywyyyywkwwyy. Give prob of sequence yk.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.9 - -35.8. Let g = k + -45. Let t = g - -1.4. Which is bigger: -1\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002154404631 rounded to 6 decimal places?\nAnswer: 0.002154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y - 5. Let r be h(6). Let m = -2 + r. Let g = m + 3. Solve 3*d - d - 2*f + g = 0, 0 = -2*d + f + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let i be (-328 - -1)\/(-3) + a. Suppose 2*f = -5*x + x + 74, -5*x + 3*f + i = 0. What is the lowest common multiple of x and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2362*r + 676*r - 66934 - 55774 - 10964 = 0 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - 107637?\nAnswer: -107622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 176929, 353860, 530795, 707734, 884677, 1061624, 1238575?\n\"Answer: 2*y**2 + 176925*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-13)\/(-21) + (-6)\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5054 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11568857 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 4:18 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.2 - 4.2. Let a = -20 + f. Suppose 7*y + 3*t = 3*y + 20, -t = 0. What is the closest to 0 in y, a, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/11 - 224*o**2\/11 - 472*o\/11 + 1824\/11.\nAnswer: 2*(o - 114)*(o - 2)*(o + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1690 + 28*f**2 - 26*f**2 - 210*f**4 + 1690 + 886*f wrt f.\nAnswer: -5040*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-9))\/(-2)*(3 - 0). Let s(n) = n - 3. Let v be s(3). Suppose -20 = -v*r - l*r + u, 0 = -4*u - 20. Solve -r*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/76415 and -82\/5146155.\nAnswer: 149238495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-565)\/30 - -20 - 3\/18. Let o = 1018 + -95693\/94. Is u at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.7 + 53.7. What is the biggest value in h, 0.4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5294, 10579, 15862, 21143?\nAnswer: 26422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-6)\/(-4)*(-40)\/24. Suppose 0 = -d - 2, -h + 2*d - 10 = 3*d. Let f be (-4)\/5*(-4)\/h. What is the biggest value in -0.3, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w - 2*w)*((-1 - 2 + 1)*(w - 3 + 3) + 2 - 2 + 4*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 50*x**2 + 51*x - 101. Determine d(49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 350*p. Let c(l) = 2*l**2. Give m(c(j)).\nAnswer: 700*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, u: 6, c: 3, e: 4, d: 4}. What is prob of sequence dce?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 19*x - 135. Give c(24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152\/237 + 2\/79. What is the nearest to o in 2\/7, 1, -4, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -8*f + 128, 5*g - 67699 + 67758 = 3*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 0) + 2 + 13 + 8 + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 25\/8*q**3 + 11\/16*q**5 + 0 + 5\/4*q**2 - 60*q + 5\/2*q**4. Factor s(c).\nAnswer: 5*(c + 1)**2*(11*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*o. Suppose -2*m = d - 9, 2*d - 25 = m + o*m. What is the remainder when 30 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13532978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-24)\/k)\/k**(5\/2))**34 assuming k is positive.\nAnswer: k**(-935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 383639905 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2 - 1166495*j - 1166490 = 0.\nAnswer: -233298, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a kilometer in meters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in 4\/13, -1\/5, -4\/9, -1.1, -5.1, 0.2?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -2*b + 5*b + 2 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -27532, 0, 3, 144, 4 in ascending order.\nAnswer: -27532, 0, 3, 4, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -41*l + 1696. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1.3745?\nAnswer: 2.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 734910 and 350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/77 - (524\/(-22) + 2). Suppose -4*i = -k - 18. Solve i = q - 6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596815672?\nAnswer: 2, 199601959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126350*l**2*y**2 - 4*l**2*y - 3*l**2 - 183*l*y**2 + 172*l*y wrt l.\nAnswer: -252700*y**2 - 8*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1404)\/325)\/(30912\/73600)?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 s, and 1 o when four letters picked without replacement from {s: 2, o: 1, z: 1, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5*h)\/h)\/h**9 assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7466 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -51.224761+-365644\nAnswer: -365695.224761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 9. Let q be (-2)\/(-5) + 2490\/(-2100). Let y = -15\/28 - q. Sort 4\/5, n, -2, y.\nAnswer: -2, y, 4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 2*z, 5*z + 0*j - 22 = 2*j. Suppose 2*p - 16 = -z*p. Solve 0 = p*x + 3*u + 11, -7*u + 2*u = -x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n**2 + 0*n)*(-1349*n - 1 + 717*n + 2).\nAnswer: -632*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 - 28. Let u = -1138\/7 + p. What is the third biggest value in u, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**3\/6 - 16*x**2 - 663*x\/2 + 5734. Let t(f) = 0. Calculate f.\nAnswer: -51, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/10)*p*p**(-3\/19))\/((p**(-11\/3)\/p)\/p**(-8)) assuming p is positive.\nAnswer: p**(-1363\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**5 - 4746*t + 11*t**5 - 14*t**4 - 2*t**3 + 14*t**4 - 2322*t + 5*t**2 wrt t.\nAnswer: 300*t**3 - 12*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -33.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1022*s**5 + 81*s**5 - 8985*s**5)*(-5 + 4 + 3).\nAnswer: -15764*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1708 + 600*y - 1708)*(0*y**2 + y**2 + 0*y**2) + 11*y**3 - 17*y**2 + 17*y**2 as q*y**2 + o*y + l*y**3 + b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(567))*-6)**2.\nAnswer: -102060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 18 = -7. Let g be 7\/u - 1 - -2. Let p = 65 - 60. Is g smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = -3*s + 9*v + 3, s + 3*v = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 1)*(-1 + 0). Suppose 2*x - 4*b + 5 = 17, -i*x - 4*b = 12. Which is greater: -1\/6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -359081497 and -359081496 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -293*t - 6229. Calculate v(-23).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78291 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 2*g + 8. Let j be (2 + -8)*2\/(-4). Let q(v) = v + 1. Let w(c) = j*q(c) - s(c). Let o be w(4). Solve -f - o = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v - 61. Determine u(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-55 + 32 + 48 - 38)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z - 179. Let c be p(-14). Solve 4*b = -c*b + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884657 (base 9) in base 16?\nAnswer: -102bbf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose -5*a = -3*r - 1, -n*a = 2*a - 10. Solve 0*u = -u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/689700 and 101\/4389000?\nAnswer: 48279000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78973701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 868 - 517. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -599\/4 - -149. Let h = 1 - 1.1. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2) + (-2 - -2). Let o be (z - 0) + (4 - 3). Suppose o*x + 4*x = 5*v - 40, v = -2*x + 8. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9))**(-1\/20)\/(((n*n\/(n*n\/(n**(3\/8)\/n)*n*n))\/n)\/(n\/n**(1\/8))) assuming n is positive.\nAnswer: n**(202\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 305 + (-2 + 3 - 0). Let a = 1745 + q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112096?\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5286 and 91624?\nAnswer: 274872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 8, -15, 3 in descending order.\nAnswer: 8, 3, 1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1210788, -4843135, -10897048, -19372527, -30269572?\nAnswer: -43588183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 2055735*k**2 + 13620*k - 185?\nAnswer: 12*k**2 - 4111470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 269*d**2 - 82*d + 29. Is r(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 114348 = 5*r, -3*r - 7761 + 76389 = -3*v. Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 160 + 80 - 4*d + d.\nAnswer: -3*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 - -18) + (-6)\/2. Let c be 1 - (-1 - -30)*-1. Let m = c + -15. Solve o*n - 3*u = n - 9, -2*n - 5*u + m = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2985 - -4355. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 63 - 37 = 0. Let d = n + 21. Is d\/(-10) - (-3789)\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21960*c*p**2 + 7178*p**2 + p wrt c?\nAnswer: 21960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3015 + 13062?\nAnswer: 10044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.134 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1022208, 2044413, 3066618, 4088823, 5111028?\n\"Answer: 1022205*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -8, 18, 3.\nAnswer: -8, -3, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 - 150. Put 9, -2, 3, n in increasing order.\nAnswer: -2, 3, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 271 = 2*u, -2*g - 3*u = -4*u - 108. What is the remainder when g is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 122*d = -767 + 144 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10631, 2\/3, 15\/1076 in decreasing order.\nAnswer: 2\/3, 15\/1076, -10631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -3*y - 2*w, 2218*w = 15*y + 2221*w - 54 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(448) + 4 - sqrt(448) - (sqrt(448) + 2 + sqrt(448))*6)**2 + ((sqrt(448)*-2*2 - sqrt(448)) + sqrt(448) + sqrt(448))**2*1 + -4.\nAnswer: 1536*sqrt(7) + 68604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 94. Calculate x(47).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.034 and 0.1126.\nAnswer: 0.1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16575 and 26.\nAnswer: 33150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/(i*i*i*i\/i**11*i))\/(i**(-5)*i**(-11)*i) assuming i is positive.\nAnswer: i**(149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -1 (b) 4 (c) -1.4 (d) -11 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:48 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.17063, -0.0569, -1\/3?\nAnswer: -0.0569","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25.81235l?\nAnswer: 25812.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**3 + 42*k**2 - 5*k - 7. Calculate the remainder when w(-5) is divided by 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8) - (14 + 12 + 63\/(-4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:26 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4333*m**6 + 2*m**2 + 171*m - 2?\nAnswer: 519960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11665914 greater than or equal to -11665929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/150*6*(-30)\/(-4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1443040 + -300?\nAnswer: 1442340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 20 = -i, -i - 20 = 2*i - f. Let j be 8\/77 + i\/28. What is the second smallest value in -2\/9, j, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -296 + 296. Differentiate 71 + 4*i + v + 63*i**3 - 15 - 3*i + 98 wrt i.\nAnswer: 189*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2)*(-586)\/3. Let a = j - -1006. What are the prime factors of a?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 52*q**2 - 1. Let c be d(1). Suppose -c - 288 = -3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**7\/10 + 31*c**3\/6 + 65*c**2\/2 + 15*c. Let q(b) be the first derivative of i(b). Differentiate q(x) wrt x.\nAnswer: -84*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 864571 * -13\nAnswer: -11239423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c - 50*c + 8 = -5*u, 5*u = 4*c - 9. Solve 0 = 4*h + 2*t - 8, -c = 149*h - 146*h - 2*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 2461*y**2 - 4934*y + 19704.\nAnswer: (y - 2463)*(y - 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.28, 27, -0.0532?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29070 and 3228300.\nAnswer: 61337700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -19\nAnswer: -11\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3813*x + 3812*x = -62, -7*x = 5*u - 434 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + (sqrt(99) - (sqrt(99) - (5 + sqrt(99)*2)))))**2.\nAnswer: 1296*sqrt(11) + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 7*k**2 - 80*k + 278. Determine w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -63317598 smaller than -63317599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426 (base 10) to base 14.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/184*-8*-1*8\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1757381353 and -1?\nAnswer: 1757381352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 20)*(0 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - x - 23, 0 = -5*z - 0*x - x + 17. Let r(h) = h**2 - 2*h - 3. Let j be r(z). Let f(l) = l**2 + 3*l + 6. Let t be f(-3). Solve j*g + 1 = t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 163991 = 4*v + 164052, -5*m + 3 = 4*v - v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/60 - t**4\/4 - t**3\/2 - 2*t**2. Let x be i(-3). Let j be 3\/27 - 2\/x. What is the third smallest value in 5, j, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000552727 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 4 in increasing order.\nAnswer: -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.03, 12, 5.\nAnswer: -12.03, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 + 130. Which is the second smallest value? (a) 9 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2007)\/(-18) + -8)*(-16)\/(-2). Suppose 814*x = i*x - 42. Let h(t) = t**2 + 0 + 0 - 5*t. What is h(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1024 - 1022. Let d(z) = -2*z - 1. Let x be d(1). List the prime factors of ((118\/(-6) - -4) + b)*x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/276 and -23\/48.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19659150 divided by 1310610\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.06 - 0.06. Let n = t + -7. Suppose l + 4 = 3*h - h, 0 = h + 3*l - 9. Which is the closest to n? (a) -1\/5 (b) 1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (12\/(-4))\/3. Let p = 1 + q. Is p less than or equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29774, -61, 1, -1.\nAnswer: -61, -1, 1, 3, 29774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0*v - 540 + 541 + v. Let w(l) = 4*l + 3. What is 5*u(h) - w(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:50 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110*b + 112 - 33*b - 38*b - 39*b + 1638*b**4 wrt b?\nAnswer: 6552*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = 13*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.2 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1211, -1947, -2681, -3413?\n\"Answer: r**2 - 739*r - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 46735 - 46735.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14172 + -13945. Which is the biggest value? (a) -3 (b) 0.1 (c) m (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**6\/40 + 2*u**3 + 8. Let w(o) be the third derivative of p(o). Let x(h) = -2*h**2. What is w(x(a))?\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 7*p + 5*p + 2, -9 = -b - 5*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + 59 + -47\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14102323 and 435.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 1 (c) 5\/12 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1908566674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 8:11 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4252 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1587*z**2 - 1783 + 1783 + (3*z + 0*z - 2*z)*(-3*z + 7*z - 2*z) + 2*z**2 + 3 - 3 to a + l*z + w*z**2 and give w.\nAnswer: 1591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 6*n - 2*n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -4. Suppose -3*o + a = -y, 0 = -0*o + 5*o - 2*a - 12. Solve -7*h + o*h + 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/10)\/((21\/(-42))\/(15\/6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -12, 34, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - sqrt(126)*3)\/sqrt(7))\/((-3*sqrt(99))\/sqrt(11)) - (sqrt(64)*-6)\/(sqrt(22)\/(sqrt(11)*3)).\nAnswer: 218*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, u: 1}. Give prob of picking 1 u and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2. Let l(r) be the second derivative of -r**4\/6 + 10*r. What is l(d(m))?\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1112, -2481.\nAnswer: -2481, 2, 1112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106\/(-954) - 11737\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, t: 3, l: 2, v: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:46 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97\/20 - -21\/4. Let i(c) = -9517*c - 47581. Let n be i(-5). Let m = -3 + 4. What is the closest to n in k, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092701818 rounded to four dps?\nAnswer: -0.0927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1014 divide 24297644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(19))*4)**2.\nAnswer: -56*sqrt(19) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - 2626c?\nAnswer: -2628e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6610, -4, -0.4, -0.1 in ascending order.\nAnswer: -6610, -4, -3, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-8))\/(-5)*(-288)\/126.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -3*x**4\/26 - 4*x**3\/39 + 27. Solve v(d) = 0 for d.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 18?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-24)*(0 - (2 - 2)). Let k(a) be the third derivative of -a**5\/60 - a**4\/24 - 7*a**3\/2 + a**2. Give k(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41993 or 44222?\nAnswer: 44222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 421*l**2 - 19*l - 19. What is the tens digit of w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2 + 14*i - 8. Let h be (-42)\/105 - 284\/(-10). Suppose 36 = 31*m - h*m. Let g be y(m). Round g to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -195*j + 1181. Calculate s(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, 0.1, 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 46 = -49. Suppose -2*p + 2*g + 77 = -a, -p + 3*g + 48 = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -53. What is the remainder when 89 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602\/430*(-3 - -41938)?\nAnswer: 7, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 52 = -o. Which is greater: o or 12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/8)\/(d\/(d\/(d**(-7)*d)*d)*d))\/(d**1*d)**(-14))**(-36) assuming d is positive.\nAnswer: d**(-2421\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let m be t(1). Let o be 2\/6 - (m + -2). Which is the closest to -1\/3? (a) 0.4 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 65*x - 29*x - 264 = 0. Solve x*y = 4*m + 26*y + 8, 3*m + 1 = -2*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2.003?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.99 + -98.01. Let i = k + 99.9. Are i and 0.094 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*sqrt(8) + 4).\nAnswer: -40*sqrt(2) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277147404.\nAnswer: 2, 3, 7698539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Let i(d) = -21115*d**2. Give i(l(j)).\nAnswer: -84460*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/22 - 14*q**3\/11 - 120*q**2\/11 - 416*q\/11 + 299. Suppose y(j) = 0. Calculate j.\nAnswer: -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(243) + 4)**2 + -5.\nAnswer: 36*sqrt(3) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08086 - 4.10986. Let b = k + 0.029. Let m = -0.1 - 2.9. Sort m, b, 1 in increasing order.\nAnswer: b, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 2*s**3 + 0*s + (-2*s + 3 - 3)*(-6*s**2 + 2*s**2 + 2*s**2) + (-2 + 1 + 0)*(2*s**3 - 3*s**3 - s**3) - 539*s**3 - 401*s**3 + 114*s**3.\nAnswer: -822*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 - (-2 + 2). Let j be 2 + 1 - (1 + f). Solve -2*o - 3 = j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 53. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 52.79. Let c = -4.21 - m. Let p = -1\/2 + 1\/6. What is the closest to p in c, 1\/7, 0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42998980 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: What is the tens digit of (1 + -3)\/((-4)\/294)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*o + 2. Let m be 6 + o\/((-9)\/(-12)). Solve -4*d - m = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 8*x + 36 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + 7) - 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i - 1. Let x be f(-7). Calculate the greatest common factor of x and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(2 + sqrt(19)))**2 + -5*sqrt(76) + sqrt(19)).\nAnswer: 275*sqrt(19) + 1840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 185*w + 2861 - 86 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129.36 + 131. Let p = -1.84 + w. Suppose 16 = 2*r - 4*v + 6, -3*v = 9. Sort r, 1\/4, p in decreasing order.\nAnswer: 1\/4, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-3)\/(-6))\/(-6 - (-30641)\/(-26))). Is -1 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*s, g - 14*s + 11 = -15*s. What is the hundreds digit of g\/18*47322\/(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011111100101011010 (base 2) in base 12?\nAnswer: 381b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 5*r - 5*r. Let v(m) = -41*m**2 + 24 + 41*m**2 - 14*m**3. Let a(z) = 5*j(z) + v(z). Differentiate a(g) wrt g.\nAnswer: -57*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/5 - 1867652*m**3\/5 - 5603016*m**2 - 28015180*m - 46692050 = 0. Calculate m.\nAnswer: -5, 933841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6627436.2 to the nearest ten thousand.\nAnswer: -6630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 + -0.1. Let d = 0 + i. Let j = 7 + -7.2. What is the closest to j in -1\/2, d, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b*(b\/(b\/b**(1\/2)))\/b*b*b))\/b))\/b*b\/(b*b*(b**(-1)*b)\/b)*(b**3*b)\/(b\/((b*b**23)\/b)) assuming b is positive.\nAnswer: b**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:25 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Let a(x) = 2*x - 355. Determine o(a(n)).\nAnswer: -4*n + 710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488891 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -12*p + 8. Suppose p*b - 6*b + 74 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5068355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 4181.\nAnswer: 66896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -6*n - 15. What is the common denominator of 55\/14 and -30*-5*n\/(-48)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - -2.73. Let k = u + -3. Let o = 918.6 - 918.1. What is the third biggest value in k, o, 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 250 or 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + 9 + -30) - -1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1)*i*i)**23\/(i*i\/(i\/(i*i**(-1\/6)*i))*i*i**(-7)*i))**(-16) assuming i is positive.\nAnswer: i**(-5624\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:09 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25640 divided by 27998?\nAnswer: 12820\/13999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**3 + 6*k**2 + 3*k. Let s(i) = -23*i**3 - 17*i**2 - 9*i. Give -6*s(y) - 17*u(y).\nAnswer: 2*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 7*k - 2. Let p be 2219\/147 + -11 - 2\/21. Suppose 0 = 3*h + p*w - 15, 2*w + 10 = 7*h - 5*h. What is n(h)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**3 - 2*w**2 - 3*w - 3. Let s(c) = 11*c**3 + 5*c**2 + 7*c + 7. What is -3*s(f) - 7*z(f)?\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.1 - 7.1. Let n = 1153\/28 + -167\/4. Which is the nearest to k? (a) n (b) -2\/7 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4787*h*r**3 + 548*r**3 - r - 1 wrt h?\nAnswer: 4787*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171905?\nAnswer: 5, 34381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 2. Let m be a(2). Let x(p) = -5*p**2 + 17*p + 38. Let b(s) = -2*s**2 + 2*s + 6. Let y(n) = -5*b(n) + x(n). What are the prime factors of y(m)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84751\/16 - 5295. Let q = 133\/48 - k. What is the second smallest value in q, 0.7, 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 14\/(-4))*110\/176. Let b = -1055\/144 + d. Is -8 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 55*k. Let j(f) = 446*f + 525*f - 985*f. Give -6*i(t) - 25*j(t).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 91 = -2*p - 3*k, -5*p + 225 = -4*k. Suppose -3*f + z - 4*z - 9 = 0, -5*z = 15. Suppose -3*i + p = -f*i. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfd when three letters picked without replacement from eeksfeeosossefseedeo.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + (6*(sqrt(15) - (sqrt(60)\/sqrt(4) - sqrt(15))))\/((sqrt(108)\/sqrt(3))\/sqrt(12)))*2.\nAnswer: -6 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8930 = -212203*t + 212438*t for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21321202 (base 4) to base 6\nAnswer: -511414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-3)*(-78)\/65. Suppose x*u - 318 - 12846 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/2, -3, -212.1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 55.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -5138?\nAnswer: -5129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let j(k) be the second derivative of -43*k**3\/6 + 8*k + 5. Give j(b(f)).\nAnswer: 43*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 119, -21, 0.08, -8?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-18)*2440*(-990)\/12.\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -15*b + 37. Let i(o) = 10*o + 45. Let m(k) = 28*k + 117. Let l(g) = -8*i(g) + 3*m(g). Give 2*d(u) + 9*l(u).\nAnswer: 6*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 26*t + 29. Let z be g(14). Which is the smallest value? (a) 0 (b) -0.05 (c) z (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2424414 (base 5) to base 9.\nAnswer: 68506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 15*c**2 - 31*c**2 + 6*c**2 + 7*c**2. Let j(l) = 1. Suppose -4*x = -2*x + 4. Let g(k) = k - 2. Let t(s) = x*j(s) - g(s). What is t(v(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 + 20*m - 9*m**2 + 7 - 7 - 48*m**2 as w*m**2 + o*m + f and give w.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m**4\/2 - 943*m**3\/2 + 16314*m**2 - 44064*m = 0 for m.\nAnswer: -1836\/47, 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 85*c - 95*c. Calculate the remainder when 200 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 f, and 1 x when four letters picked without replacement from ytyyyfxyxyyyytyyfy.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/35*2)\/((-75)\/(-7125)*-19).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.8698 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 14. Let o(y) = y - 7. Let h(x) = 5*o(x) - 3*z(x). Let g be h(5). Suppose 3*q - 7 = g. What is the third smallest value in q, 8, -0.5, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5\/6 (b) 0.04 (c) 5 (d) 1090 (e) -55 (f) 1 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, 4*k - 2*d = -6 + 114. Let r be k*3*3\/9. Suppose -3*b + i + 27 = 0, 3*b = 3*i - 5*i + r. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 2. Suppose -8 = -4*f - 4*i - 4, -2*f + 8 = 4*i. Let l be -2 - (16 - 2)\/f. Suppose -3*g - l*t - 1 = 0, -t - 6 = 2*t. Give a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*u = -0*u, 2*u = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 10 = 5*a + 4*v, -16 = 4*v. Let i(t) = -2*t**2 + t**2 - 2*t**a. Let h(b) = -2*b + 2*b - 6*b + 5*b. Calculate h(i(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -12270472?\nAnswer: -12270468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-408)\/52 - 4\/26. Let y be (-5 - -6)\/((-2)\/q). Suppose -4*b - y*x = -4760004, -x = 3*b + 4*x - 3570005. Round b to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57)\/38)\/((-1)\/(14888\/6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*t**2 - 6*t**3 + 30*t**2)*(-4 + 2*t**2 + 0*t - 2*t + 5) + 4*t**5 - 3*t**5 - 3*t**5 + (5*t**2 - 3*t**2 + 0*t**2)*(2*t**3 + 0 + 0).\nAnswer: -10*t**5 + 12*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/15 - 64\/(-10). Let b be ((-6)\/4)\/(v\/16). Let r = 5 - b. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22916 is divided by 577.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041801.\nAnswer: 3, 239, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 214127 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15200518 is divided by 420?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.184 + 2.184. Let n = -18.3 + 14.3. Sort -2\/15, -4\/31, v, n in increasing order.\nAnswer: n, -2\/15, -4\/31, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 20*p + 177*p + 8*p**2 - 78*p - 79*p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 1741146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - t + 0*t + (2*t + 0*t - 3*t)*(2 + 2 - 2) + (1 - 2 + 3)*(41 + 33 + 1)*(0 - 2*t + 0)*(-4 + 2 + 0) to f + r*t and give r.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 45 = 5*s, 3*i - s - 16 = 4. Suppose 2*j + 2*j - 100 = -i*c, -c + j + 11 = 0. Solve 0 = -2*o + h + 12, 0 = -4*o + 4*h + 16 + c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 9*z + 8. Determine m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from lbbbbqqqyqq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525 by -85.\nAnswer: 105\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/60 - y**4\/12 - y**3 + y**2. Suppose -2*r + 6*g = 2*g, 2*g + 8 = -r. List the prime factors of n(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/19)*u**(-16\/5) assuming u is positive.\nAnswer: u**(-314\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 1888 = -24*n. Let m = -233 + n. Solve j = -4*i - 0*i - m, 3*j = -i - 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756589 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: Which is greater: 187 or 139?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 9*s + 2. Let l be g(9). Let z(i) = -7*i. Let q be z(-1). Let p be q\/12 - l\/6. Which is greater: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + (-95)\/(-15))*9 + 29 + 0. Solve -22 + u = 10*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, -3, -1552443 in increasing order.\nAnswer: -1552443, -14, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/105? (a) -3 (b) -2\/427 (c) -5 (d) 5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - 141. Are -65 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 1\/2 (c) -1790\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 1\/5, 0.3, 6, -77\/13?\nAnswer: -77\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 + 7*w + 5. Let s(k) = -2*k**2 + 6*k + 5. What is 4*a(h) - 5*s(h)?\nAnswer: -2*h**2 - 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-6)\/(-98))\/(42\/(-147)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/30 + y**4\/12 + 2*y**3\/3 + 5*y**2. What is h(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 7 (b) -90\/11 (c) -2 (d) 3 (e) 0.5 (f) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(2\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b26 - -184?\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105174 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 * 0.2\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 84 + 64 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902205729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 7. Let s = -3.6 + -29.4. Let y = s - -32. What is the biggest value in y, 1\/8, q?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17368*j + 17781.\nAnswer: -17368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -x - 5, -q = x + q - 10. Suppose i + x*i = 195. Let j(u) = 3*u**2 - u - 1. Let p be j(-2). What is the greatest common factor of p and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -8.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -431045 and 644163.\nAnswer: 213118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -1068\nAnswer: -91\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2107 and 5246.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272703 is divided by 136339.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 7*l**3\/3 - 5*l**2\/2 - 2*l - 1429. Let d = 4 + -2. What is the tens digit of b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-20) - -3) + -4. Let l = -0.28 - -1.28. What is the closest to l in -2\/13, t, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181557, -1452944, -4903855, -11624052, -22703297?\n\"Answer: -181627*w**3 + 2*w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4 - 16. Suppose 2*d = -3*v + 5*v - q, -4*v + 8 = 0. Find the third derivative of 2*z**2 + d*z**5 + 2*z**2 - z**5 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (3 - 28)\/5. Let z be (-45)\/51 - m\/(-34). Is -3\/17 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167 = 1480*s - 9443 - 2710 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -10.3. Round y to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/((-1)\/(2 - -27498)). Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -4\/5, 3, 115, -35.5, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*x + 31*x + 161*x**2)*(5 + 1 - 4).\nAnswer: 322*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.410781cm in micrometers?\nAnswer: 64107.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 3. Let v be f(-8). Let m(b) = 3*b**2 + 32*b - 8. Let r be m(-11). Suppose r*i = -32 + 26. Is v bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12176 is divided by 90.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7914 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1466*l**3 + 6*l**2 - 6*l - 3132. Let x(g) = -4396*g**3 - 17*g**2 + 17*g + 9392. Let n(s) = 17*v(s) + 6*x(s). Differentiate n(j) wrt j.\nAnswer: -4362*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/159 and -143\/12?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcc when three letters picked without replacement from cjvvcw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 2*l + 2. Suppose -6 = 3*z - 2*z - 3*f, 3*z - 21 = -4*f. Is m(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 11*v**2 - 8*v + 33. Let p be m(11). Is p >= -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 7*u - 1. Suppose -x + 2*t - 7 = 0, x = t - 5 + 1. Let j(y) = y. Let w(b) = x*f(b) - 5*j(b). Does 13 divide w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 97396 = -60*g + 28652. Calculate the remainder when g is divided by 134.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 77475957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:48 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9883.173 * -0.4\nAnswer: -3953.2692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 + -103. Suppose -m = -5*x - 50, -z*x = -3*m + 80 + 70. Suppose -m = -f + 14. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13662098 divided by -18?\nAnswer: 6831049\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + l = -9, 3*f - 38*f - l - 11 = -3*f - 29*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilometer in meters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -218.3 + 213.3. Let k = 55 + -331\/6. Which is the third biggest value? (a) k (b) 0 (c) -0.1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21394033.2ns in days?\nAnswer: 0.000000247616125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**3 + x - 18*x**3 + 2 - 2*x + x.\nAnswer: -5*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n**2 - 3*n**2 - 12977 + 13077 to the form k*n**2 + l + s*n and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 408 + -404. Suppose 2*h = 3*h + 2, 4*h = s*x - 748. Calculate the greatest common factor of x and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42237\/(-152))\/39)\/(21\/112*(-10)\/(-15))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1837*i*j**3 - 297*i*j + 7*i wrt j?\nAnswer: 11022*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337024.6l to millilitres.\nAnswer: 337024600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/4 - 2*h**3 - h**2\/2 - 7*h - 2. Let j(y) = y**2 - 7*y + 5. Let w be j(4). Is p(w) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 3. Let q(y) = y + 2. Let c(d) = 3*l(d) + 2*q(d). Let g be c(10). Let p = g - -23. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3446 + 15038. Is 36 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Let n be 63 + -4 + (w - 1). Let z = n - 41. What is the highest common divisor of z and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 + 33*y**2 - 80*y - 1186. Let b be l(-9). Suppose -6*t**2 + 5*t**3 - b*t + 32 - 1\/2*t**4 = 0. What is t?\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426447059 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: Let n = -0.033 - -0.033. Let h = 28 - 27.933. Let l = -14.067 + h. Put l, -4, n in increasing order.\nAnswer: l, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*s**2 + 2\/3*s**3 + 0 + 8\/3*s = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 d when four letters picked without replacement from mmmmmddmmmddmdmmmm?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11070*f + 3498894 = -17355*f + 1395444 for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-4)*52\/2405)\/(-3). Let f = -343\/555 - p. Let r = 0.1 - 0.1. Sort 0.3, f, r in ascending order.\nAnswer: f, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1848 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 151484?\nAnswer: -151484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24844911.3 microseconds in days?\nAnswer: 0.00028755684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/2417835?\nAnswer: 4\/2417835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-708)\/(-3304))\/(1\/(-6)). What is the third smallest value in -0.5, -4, x, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*c - 2019 - 5835 = -899*c + 305*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 - ac?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 202*g**3 + 9*g - 13777 wrt g?\nAnswer: 606*g**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:10 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -12*x + 37 - 72*x - 47. Let r be o(-5). Suppose r = 5*c + 5*u, 4*c - 127 - 207 = -u. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 20385.\nAnswer: -4\/20385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23854842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t + 9*t + 56*t - 1862 = -31*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ac - -188?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 632768, -88, -1.\nAnswer: -88, -1, 632768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:01 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:02 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, j: 1, r: 11}. Give prob of picking 1 x and 1 j.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*j + 30 = 0, 4*q + 0*j = 4*j. Let s(l) = 15*l**3 + l**2 - l + 1. Let n be 7\/9 - (-6)\/27. Let k be s(n). Solve i - k = -q*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 96 = -3*g, -6 + 102 = 3*g - 5*f. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 7539217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 16*y - 5*y**2 - 23*y - 16*y + 13*y.\nAnswer: 4*y**3 - 5*y**2 - 42*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 33, -1\/114, 1\/2, 2\/7?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - k**3 - 87 - 180 + 3*k to the form s*k**2 + t + l*k + h*k**3 and give t.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*j + 157*j + 12*j + 142*j + 139*j + 150*j.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153058 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 + 6*t**3 - 26*t**3 - 301*t**2 + 6*t**3 + 4*t**3 + 0*t**3.\nAnswer: -4*t**3 - 301*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11598 - 9313192\/803. Let d = k - -47373\/1606. Let g = -67457\/21306 + -2\/3551. Calculate the common denominator of d and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5 = 3*j, 0 = -j + 3*w + 2554 - 2534 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10266)\/(-13688)*16\/402\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 25 = -5*q, 15 = 2*q + q + b. What is the remainder when 7 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -0.2, -307?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - w - 117 = 4*t, 0 = 3*w. Find the second derivative of -91*o + t*o + 22*o - 30*o**4 wrt o.\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + (-30 - -69 - -18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16894865209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.92 + 45.08. Let x = 47 - v. What is the closest to x in 0.3, -3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/30 and 77\/170.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/42 and -3\/38605?\nAnswer: 231630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:27 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 - 9*w + 8. Does 23 divide f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(693) + (sqrt(693) + sqrt(693)*-1)*2 + sqrt(693))\/sqrt(11))**2 - ((5*(sqrt(448) + -1) - -3*1*sqrt(448)) + -5).\nAnswer: -64*sqrt(7) + 1522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m + 2. Let l be f(-2). Let q be (l\/(-4))\/((-5)\/2). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0688421683 rounded to three decimal places?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -10 + 25. Suppose -g*i + 16 = -i. Let k = -2 - -8. Calculate the greatest common factor of i and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567870 a multiple of 1976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 5*v + 19, -3*v + 1753*s - 1752*s - 1 = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/105)\/((972\/45)\/(-36))*-66\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.3 - -6. Let q = -42 + 44. Which is the smallest value? (a) q (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*((-1 - -4) + -3). Suppose -2*b + 40 + 180 = v. Let r(z) = 18*z**2 + 85*z + 3. What is the remainder when b is divided by r(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90, -371, -838, -1491, -2330, -3355, -4566?\n\"Answer: -93*l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrrrggrggr. What is prob of sequence rg?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 59267899613 and 10?\nAnswer: 59267899603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-18))\/(6\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from llcmmmlhfhxcxc.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86\/5375389 or 0?\nAnswer: 86\/5375389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.8 + 9.7. Let s = -10 - x. Which is the closest to 2\/3? (a) s (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -4)\/((-3)\/(-13 + -2)). Let v be ((-5)\/r)\/((-3)\/(-24)). Put v, 5, -13 in descending order.\nAnswer: 5, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -23 - 13) + 0 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 4*r**2 + 6*r - 3. Let q be p(5). Suppose -h + q = -160. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991643 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 77*q - 295, -y - 17 - 13 = -4*q - 2 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-8 + 4) + -4. Let m be -1 + (3 - 1)\/2. Suppose -3*u + 8 - 2 = -3*s, l*s + 4*u - 2 = m. Let i(t) = -t**3 - 2*t**2. What is i(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from bfeeeeeefebe.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 5 + 5 + (8*z + 2*z - 8*z)*(-20 - 7 + 7).\nAnswer: -41*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 413*v - 39938. Give t(165).\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23331.4*-1.2.\nAnswer: -27997.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*i + 1016*i = 558*i - 3591 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -525\/4 - -131. Sort v, -0.8, 0.1, -0.2.\nAnswer: -0.8, v, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-5)\/6)\/(8\/(-32)). Let p be 1 - -1 - (1 + 0). Let l be (-4)\/2*p\/7. Which is the nearest to n? (a) -2\/17 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 0 - p**2 + 565*p - 1 - 605*p to the form m + j*p**3 + k*p + l*p**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 0*h**5 + 0*h**5 + (1293 + 97*h - 1293)*(2*h**3 - 2*h**3 + h**4) + h**5 - h**5 + 4*h**5.\nAnswer: 103*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 3:09 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 11:24 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and -1.761.\nAnswer: 11.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 179*a. Let t(d) = 18*d**2 + 8. Determine t(l(p)).\nAnswer: 576738*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -996, -2009, -3022, -4035?\n\"Answer: -1013*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4, -3*l + 3*x = 4*x - 17. Suppose 36 = -l*f + 108. Let p(t) = 24*t. Let q be p(5). Calculate the highest common factor of f and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, e: 17}. Give prob of picking 2 g.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829*u + 825*u + 28 = 0, 4*p + 4*u - 28 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f + 23. Let t be s(-4). Let r(d) = 3*d**2 + 8*d - 6. List the prime factors of r(t).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*k**2 + 197*k**2 + 219*k**2 - 682*k**2 + 11*k - 11*k.\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-560)*4*(-4)\/(-1)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19643586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + 0*g)*(-1 - 4 + 2).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 - 73\/210*q**7 - 102*q**2 + 0*q**6 + 0*q - 1\/30*q**5 + 8*q**3 - 1\/24*q**4. What is the second derivative of v(u) wrt u?\nAnswer: -876*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18779077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbrb when four letters picked without replacement from {r: 13, b: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 52 = -8*i. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618b3 (base 12) in base 9?\nAnswer: 1152420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 29.6. What is r rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2008017929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of -1 + 3179 - ((-385)\/(-11) + -39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvssgvvvvsvvvv. Give prob of sequence gsvv.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*i*x*y - 210*i*y**3 - 567*x*y**3 + 8*x*y + y**2 wrt i.\nAnswer: -36*x*y - 210*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-14421)\/13662)\/((2 + 110\/(-45))\/(-2))\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 0*l**2 + 11\/2*l**6 - 16 + 0*l**4 + 0*l**5 + 0*l - 17\/3*l**3. Find the third derivative of r(j) wrt j.\nAnswer: 1980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7771 + -53?\nAnswer: -77c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 27*p - 7. Let s(r) = r**2 - 7*r + 3. Let o be s(5). Let h be a(o). What is h rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -10 - -37) + (135 - 97)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12816 and 1775808.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1887*j - 85. Let p(l) = 22*l + 1. Let u(s) = -c(s) - 85*p(s). Let g(v) = -8*v**2. Give u(g(a)).\nAnswer: -136*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n + 95. Determine i(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 24674.019\nAnswer: 98696.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007408911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**6\/21 + 5*m**5\/7 - 3*m**4\/14 - 91. Let o(d) = 0. What is d?\nAnswer: 0, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48160, 96316, 144470, 192622, 240772, 288920, 337066?\n\"Answer: -i**2 + 48159*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-188)\/(-112) - (-2)\/(-8). Let f = q - 11\/7. Which is the second biggest value? (a) -1.2 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3358\/23506*1\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 - 37*z**3 - 14*z**2 + 10*z**2 + (5*z + 28 - 28)*(0*z**2 + 0*z**2 - 2*z**2).\nAnswer: -47*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, -2\/7, 339, 3, -1, 0.1 in descending order.\nAnswer: 339, 3, 0.5, 0.1, -2\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60733\/62154 - 5\/1151. Calculate the common denominator of -67\/108 and z.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1409972124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Let c(m) = -5*m - 3. Let w(x) = -6*x - 2. Let o(i) = 2*c(i) - 3*w(i). What is y(o(t))?\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 3, -165 in increasing order.\nAnswer: -165, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -112, 3, 1 in decreasing order.\nAnswer: 3, 1, -14, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16200 divided by 45\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*f**2 + 671*f**2 - 27 + 50 - 23 as d*f**2 + h*f + n and give d.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1108*x**3 - 9964*x**2 - 15440*x + 112.\nAnswer: -4*(x + 2)*(x + 7)*(277*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507, -508, -505, -492, -463, -412, -333?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9753*s + 29081*s + 10631*s - 11317*s + 6636*s.\nAnswer: 44784*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3795 - 3794.9. What is the closest to f in 16, 3\/7, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(243) + 0 + sqrt(2700) + 0.\nAnswer: 5 + 39*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2. Let l(q) = 32*q**2 - 8*q - 170. Let b(a) = -a**2 + 2*a. Let m(g) = 4*b(g) + l(g). Let p(y) be the first derivative of m(y). Give f(p(w)).\nAnswer: 12544*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1227 and -29.4.\nAnswer: 1197.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from crgbrsg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47 - -12737?\nAnswer: 126b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 4*c - 2*r - 20, 0 = -3*c + 3*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 643142113*f**3 - 1298307190*f wrt f?\nAnswer: 3858852678*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(0 + -4)\/(-4). Let k be 4\/n*(-12 + -561). Suppose -h + 5*p + 111 = 13, 0 = -5*h - 2*p + k. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -542 - 17?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328296314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00153 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*o**2 + 0*o**2 + 2*o**2 + 482*o.\nAnswer: 5*o**2 + 482*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41922139?\nAnswer: 7, 29, 97, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451 = 3*p - 0*x - 2*x + 344, p + x - 105 = 3*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.267117mm to nanometers.\nAnswer: 9267117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 11*a - 12. Let m be d(-3). Put -3, -4, 6, m in decreasing order.\nAnswer: 6, m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k = -4*m - 406, -5*k = -18*m + 20*m - 49 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.211 - 332.\nAnswer: -321.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1122 + 1122 + 70*n - 50*n + 305*n as u*n + a and give u.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 18*t**2 + 2*t + 1. Let l be w(-1). Suppose -2*c - 3*c - n = -l, 0 = c + 5*n - 13. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.267414 to 1 dp.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/108 + 63130\/7965.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 80 = 5*m, -5*z + 48 = m + 2*m. Let i = -4 + m. Differentiate 3*j + 2*j - 3 + 13 + i with respect to j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -924 in increasing order.\nAnswer: -924, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-35))\/(2\/(-10)). Let t be f\/(-4) - (-330)\/(-300). Which is the third smallest value? (a) t (b) -2\/9 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + j**2 - 2*j**2)*(2 + 8 - 2 + 0 + 5 + 2 + (5 - 4 - 3)*(-2 - 2 + 2)).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -54, -4, 1379, 4 in descending order.\nAnswer: 1379, 4, 1, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9536?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 + (-437)\/(-161). What is the third derivative of 9*s**6 - 1 - 9*s**2 + 3*s + 4*s**4 - 2*s**4 - 3*s**6 - q*s wrt s?\nAnswer: 720*s**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*m + 734*m + 842*m - 2428*m.\nAnswer: -116*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22 - (-2)\/(-2))\/1. Let s be 2*(2 - q\/9). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 27 (b) 2\/9 (c) 5 (d) 1561\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - q - 2*q)*(2722*q - 4696*q**3 - 2722*q) in the form r*q**2 + h*q + b*q**4 + w + p*q**3 and give b.\nAnswer: -4696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5}. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*v - 12 = 5*d, 0 = 5*v + 20. Suppose -5*h = -87 - 143. Suppose d*c - c + h = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 21. Let b(m) = -2*m**2 + 39*m + 21771. Let p be b(-95). What is the highest common divisor of h and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 87*k**2 + 89*k - 109. Does 112 divide t(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -910 + 0?\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 8, y: 9, a: 2}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-12) - (-156)\/9. Let y(p) = 503*p - 37. Let r be y(m). Let x = -11 + r. What is x rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 766, -28, 15, -1 in descending order.\nAnswer: 766, 15, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*x**4 - 7*x**2 - 6?\nAnswer: -4656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:10 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 84*x - 1705. Let v be t(34). Sort -110, 5, v, -4, -1 in ascending order.\nAnswer: -110, v, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2332 + -1?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 2063519712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1881501.\nAnswer: -1\/627167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 6. Let n be m + 4 - -4*5. Suppose 13*a + 77*a - 1890 = 0. What is the greatest common divisor of n and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(7) - -3*sqrt(21)\/sqrt(3) - sqrt(7)) + -5)**2.\nAnswer: -18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -5*c**4\/2 + c**3\/3 + 34. Let z be (1 - -3) + -3 + 0\/(-1). Calculate l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 40*n**2 - 5*n + 31. List the prime factors of b(-9).\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:13 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -c + 24 - 14, -5*c + 38 = 4*a. Let s be 2\/c + (-2375759981)\/(-57). Round s to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1803*f**3*m**3*t - 410*f**3*m*t**3 + 3*f**2*m**3 - 24*f*m*t**3 + 2*f*t**3 - 16*f*t**2 + 2*m**3*t**2 wrt f?\nAnswer: -10818*m**3*t - 2460*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqeqqe?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, 2711, 6\/11, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89125 is divided by 1218?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 18. What is the lowest common multiple of w(-8) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*b + 19*b - 9. Put -1, 1, -2, b in increasing order.\nAnswer: b, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 415 - 419. Which is bigger: -14\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*d - 8*d - 3*d**3 + 19*d wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/201 + 1009\/804. Let q = 100\/51 - 22\/17. What is the closest to i in q, -1\/2, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 30*r = 18. Let u be 7 - 3 - (-36)\/r. Solve -3*z + 8*z - 10 = u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19)*1*-1 + sqrt(475)*2)**2 + (sqrt(1216) + 1*sqrt(1216))*-2 + -1.\nAnswer: -32*sqrt(19) + 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 - -171. Suppose f*s - 4*b = 32, 3*s + 4*b - 1 = -9. Solve 4 = 5*v - j - 8, -s*v = 5*j + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1034 - -976 - (-11 + 4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 4*z**2 + 3. Let h be a(4). Suppose -5*t + 3*p + 24 = 0, -2*p - 9 = -h. Solve -4*y - 12 - 2 = 3*v, -t*v = -6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/16 and 25\/129948?\nAnswer: 519792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95\/84 + -8\/21. Which is the third biggest value? (a) 1 (b) -0.1 (c) l (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -20*w + 16*w. Let t(d) = -d**2 - 14*d. What are the prime factors of t(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0 + 15. Suppose 0 = 4*x + x - c. Suppose -x*j + 8*j = -20, 5*n + 2*j + 4000008 = 0. What is n rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + 3 + (-3*sqrt(2057))**2 + ((sqrt(17) + (0 + sqrt(425) - sqrt(425)))*-3)**2)*4.\nAnswer: 74681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 2. Let o(k) = -k. Let m(s) = 6*o(s) - q(s). Let l be m(-3). Suppose 0 = -3*y + 35 + l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-104)*-1*1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -27*u**2\/2 + u + 16. Find the first derivative of q(y) wrt y.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 divided by -3?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1368881*u**3 + 1368864*u**3 + 0 + 0 + 1 - 1.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 257869211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1709 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: Which is the closest to 0.1? (a) -3 (b) 2\/7 (c) -6445.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (12\/(-3))\/(-4). Let j = h + 4. Suppose 3*k + m - 136 = 0, 4*k - 185 = m - 6*m. Calculate the greatest common divisor of j and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/15, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1713 + -253715?\nAnswer: -255630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 13248?\nAnswer: -13244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 32337*d**3 - 31829*d**3 + 64172*d**3.\nAnswer: 6*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-25) - 3\/(-10)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n - 11*n - 4*n**2 - 270 - n**2 + 271. Let v(f) = f**3 + 9*f**2 - 11*f - 9. Let i be v(-10). Determine t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 + 25 = -51*q. Solve 2*b = 6, -q*k + 3*b = -4 + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 415*d + 73029. Give g(-176).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 7*s + 12. Let w be j(8). Suppose -5*u = -u - w. Suppose i - 190 = -u*n + 15, 5*i + 235 = 5*n. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 23 (c) 2\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 95*s + 449. Let m be r(-5). Which is the smallest value? (a) m (b) -2\/4041 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3201453 (base 6) to base 9.\nAnswer: 256776","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let w be l + 0 + 14\/8. Let n = -278.1 - -273.1. Which is the second smallest value? (a) 1\/3 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 44*r**2 - 244*r - 1. Determine k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -35713776 divided by -5101968\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 + 109. Suppose -u = k - 98. List the prime factors of k.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 3 = 11*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2515085 divided by -2515085?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5234 less than 13?\nAnswer: -5221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5\/2, -47, 0.2 in descending order.\nAnswer: 4, 5\/2, 0.2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3079, 6274, 9479, 12700, 15943, 19214, 22519?\n\"Answer: z**3 - z**2 + 3191*z - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((840\/(-1232))\/((-2)\/11))*90\/(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksr when three letters picked without replacement from {k: 1, r: 2, j: 1, q: 1, g: 1, s: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -250235.\nAnswer: -3253055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80800807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (627\/(-54) + 8)\/(25\/15)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (11 + -1) - (-78 + 73).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/857593 and 4\/35.\nAnswer: 30015755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*v. Let x be (v\/(-15))\/(24\/(-120)). Which is the second smallest value? (a) -2\/3 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:17 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6 + 2 + 2 + 5*y. Let g(a) = 36*a - 15. Let d be -5 + 14 + -4 - 3. Give d*g(l) - 15*x(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0214242 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -0.5, 3\/34, 68, 0.1, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - 10) - (-1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.75 - -5.9. Let k = o + -0.3. Round k to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*o + 1842, -k + 12 = -5*o + 1851. Are -1853 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (15 - (19 - 5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -4 + 3*v**2 + 0*v + 3\/5*v**5 - 3\/2*v**4 - v**3. Factor d(f).\nAnswer: 3*f*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 2*k**2 + 0*k + 0*k**3 + 0 - 1\/210*k**5 - 1\/84*k**4. Determine l, given that c(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215776 at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 1. Let q be (-13)\/4 + 1\/4. Suppose 3*k = 5*k + 4. Let z = k - q. What is g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*m + 7 + m)*(5 + 3 - 4).\nAnswer: -4*m + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2456 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 1\/4*o**4 + 0*o + 0*o**2 + 1\/3*o**3 + 1\/360*o**6 + 2 + 1\/15*o**5. Let v(s) be the third derivative of u(s). Calculate v(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*h - b, -10*b = -7*b. What is the remainder when 152 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/37861875 and 82\/35775?\nAnswer: 113585625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5288.189 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n**5 - 34*n**5 - 18*n**5 + (-2*n**2 + n**2 + 2*n**2)*(0*n**2 - n**3 + 0*n**2) + 4*n**5 - 52*n**2 + 2*n**3 + 52*n**2.\nAnswer: -40*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 2. Let l(g) = g - 1. Let i(d) = 5*l(d) - 2*m(d). Let u(f) = -7*f + 8. Give 6*i(w) + u(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*8)\/((-205)\/(-9840)). Calculate the greatest common divisor of 60 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -32858533?\nAnswer: -32858538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = -6. Solve -r - 2*x - 5 = 0, -3*r - 3*x = -f*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m + 1267. Let f be i(0). Suppose -2 = 2*t, 4*c - 36836 = -5*t + f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10161525 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103\/(-2)*((-12)\/(-9) + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.364666 to zero dps.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (312\/45)\/(-13)*(-9)\/(-6)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9021922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 2*v**2 - 2*v + 1. Let l be h(-2). Suppose 2*u - l*y = 32 + 64, -u - y + 48 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2536 + -1360. Is 90 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -3*m**5\/20 + 341*m**4\/3 + 2891*m**2\/2 - 4*m + 331. Differentiate u(x) wrt x.\nAnswer: -9*x**2 + 2728*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -13 + (6 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.0487, -0.07, 0.5, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 2}. What is prob of sequence jj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -107.51 and 1?\nAnswer: -107.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*a = 10, 0 = 9*n - 6*n - 2*a + 4. Suppose h + u - 1 = 0, 6*u - 7*u + 1 = n. Let g = -1.79 + 1.6. Is h != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 7*y**6\/30 + 7*y**4\/6 - 15*y. What is the third derivative of d(z) wrt z?\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 10. Suppose -22 = -28*b + 62. Suppose -f + b + 3 = 4*w, 3*w - 27 = -3*f. Give r(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2002, 2021, 2040, 2059, 2078?\n\"Answer: 19*t + 1983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-387)\/516)\/(36\/(-160)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -12. Let s(v) = v**2 - 5*v + 5. Let n(y) = -3*y + 3. Let m(p) = d*n(p) + 3*s(p). Let b(q) = -2*q**2. Determine b(m(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 2686, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = 49*u + 366 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1699 (b) 0 (c) -1\/6 (d) -163 (e) -3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2.58989 times 12\nAnswer: -31.07868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - i = -0*i + 8, 3*j + 5*i = -8. Solve -c - j = 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 1. Let w be l(-1). Suppose 3*v + 0*v = 18. What is the remainder when (v + (-59)\/w)\/((-2)\/4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10599 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 25*z**3 + 525*z**2 - 28*z - 300. Calculate k(-21).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2799 and -45\/2177?\nAnswer: 19593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 6 + 2, 4*v = 2*o + 8. Let f = 0.52 + -0.54. What is the smallest value in -0.2, v, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1088) + 3 - (2 + sqrt(1088) + 1))**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34607\/10 bigger than 3461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**6\/20 + 5*j**3\/6 - 13*j**2\/2 + 9*j. Let c(w) be the first derivative of l(w). Find the first derivative of c(f) wrt f.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8254258 is divided by 420.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or 2.64?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g - 518*a = -522*a + 48, 0 = g + 4*a - 48 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6642 and 345384?\nAnswer: 345384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l**3)*(54*l**2 + 385 - 385 + (2*l - 3*l + 2*l)*(-l - 2*l + 2*l)).\nAnswer: -106*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -5, 0 in descending order.\nAnswer: 7, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -268 or -5100\/19?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + -29. Suppose 44 - 5 = y. What is the remainder when q is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-1 - 0 - -7) + (9 - 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 3*f**2 - 3*f**2)*((-2 + 3 - 2)*(5 - 2 - 1) + 0 - 1 - 1).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 18 = -12*d. Solve -d*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*t + 12 = -4*p, 5*p - 4*t + 13 = 0. Let g be (p\/1)\/1*5. Let i = 3 - 6. Put 0, i, g in descending order.\nAnswer: 0, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*f + 2, 15 = -3*f + 3*g - 3. What is the units digit of 94 + f - (14 - 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328385?\nAnswer: 5, 65677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/18)\/((-2)\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5384035999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0*b + 0*b**3 + 0 - 16*b**2 + 1\/4*b**4. Let z(f) be the third derivative of f**4\/8 + 3*f**2. Determine c(z(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 322884 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - 60*a - 132. Let x be k(17). Solve -2*m + 2 = x*p, -3*m = -2*p - 3 - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -730*b**2 + 13*b - 134. Let m be x(-12). What is m rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2725, 52, 0.2, 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a86ab (base 12) to base 5.\nAnswer: 302430012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 746913 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (-3*-2*sqrt(65) - sqrt(65)) - sqrt(65) - (sqrt(65) - sqrt(65)*2*-1))\/(sqrt(20)\/(sqrt(8)\/sqrt(2)*-6 + sqrt(4))).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*m + 573 - 546, 5 = 2*m + j. What is the greatest common divisor of m and 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -673.8 + 674. Sort p, 6\/5, 2.9 in ascending order.\nAnswer: p, 6\/5, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -129 - 72?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.2. What is the closest to -1 in -1, w, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + (sqrt(65)*-1 - sqrt(65))*6 + sqrt(65))\/sqrt(5))**2 + (-5*(sqrt(117) - sqrt(117)*2))**2 + 2.\nAnswer: 4227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*n - 81 + 71, 0 = -3*l + 5*n + 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -380*g**5 - 3*g**4 + 5*g**3 - 7239*g**2 - 3*g.\nAnswer: -22800*g**2 - 72*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:10 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576700 = 5*c - 4*z, 4*c + 0*z - 2*z = 461360. Let i = 2660 + c. Round i to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220143412 (base 5) to base 2.\nAnswer: -11100110010111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1878 divided by -5\nAnswer: -1878\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3278.466 years?\nAnswer: 3.278466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10021 * -0.2\nAnswer: -2004.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127\/36957*(-12)\/(-16)*4?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9230 and 6370?\nAnswer: 452270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/145 and 57\/790085.\nAnswer: 22912465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*u + 11100 = -2*u, 2*i = 3*u - 5540. Let l = 22151\/8 + i. What is the common denominator of l and -143\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 3, d: 4, l: 1, g: 3}. What is prob of sequence lzg?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 117.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.3. Let l = 0 - i. Sort l, 2, -0.3 in decreasing order.\nAnswer: 2, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -6197033.\nAnswer: 1859109.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 85*d**2\/2 - 4*d - 2. Let z be o(3). Suppose z + 754 = 5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 8:16 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9903 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154 + 186. Let f be 0 + ((-8)\/z - (-2)\/(-56)). Which is the nearest to f? (a) -6 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3984992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 517.8 + -514.8. Let d be -3*(1 + -2) + (-88)\/28. What is the nearest to 0.09 in d, 0.3, 2, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**4 + 8*z**2 - z. Let c(d) = d**4 + d**2 - d. Let i(g) = -c(g) + r(g). What is the third derivative of i(k) wrt k?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 + 120112101?\nAnswer: 120121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 34*j - 18*j - 33 - 13*j. Let r be p(12). Suppose -147 = -5*i + r*a, 4*a + 0*a = 2*i - 56. Calculate the least common multiple of 20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32408.962717 - 32409. What is r rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 44 = -2*r. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 61415728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -2 - 13)*-4. Let o = a + 74. Suppose o + 12 = 5*i. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*u - 2600 = -35*u + 8*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lojjljjqojoll. Give prob of picking 1 q and 1 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -249899*i**2*q + 3*i*q**3 - 2966010*q**3 wrt i?\nAnswer: -499798*i*q + 3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1948660 is divided by 243580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4920 and 8398520?\nAnswer: 1033017960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Let m = x + -4.2. Let y(r) = r + 1. Let a be y(3). What is the second biggest value in m, a, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*3)\/(12 - 11). Suppose v - b*i - 51 = -3*v, i = v - 14. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 + 223*t - 471. Let c be m(68). Solve -4*s - c + 801 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026312 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1733 - 566?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(121)*3 + sqrt(121))\/(sqrt(88)\/sqrt(200)))**2.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9095 - 8890 = 0. Sort f, -3, 2, 3, -4 in ascending order.\nAnswer: -4, -3, 2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2 - 2)*(-1076*c - 1064*c - 285 + 2130*c).\nAnswer: -20*c**2 - 570*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*v - m, 0 = 3*v - 2*m - 67 + 158. Suppose -2*f = -2*p + 6, 0 = 5*p + 5*f - 12 - 23. Put -3, v, p in descending order.\nAnswer: p, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69378\/(-80941) - (681\/14 + (-1)\/(-2))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -278275.\nAnswer: -556550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**23*i)\/i)\/(i\/i**(12\/13))*i**(2\/21)*(i\/(i*i\/((i\/i**26)\/i)*i))\/i assuming i is positive.\nAnswer: i**(-1633\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200 (base 3) in base 15?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 2 - 5)*(-5 + 5 + 2*c)*(59*c - 32*c - 6*c) + c - c + 2*c**2 as r + n*c + w*c**2 and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28950*p**2 - 365*p**3 - 57914*p**2 + 362*p**3 + 28964*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 4 - 161 + 2*b as f + h*b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19312 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3406 + -3326. Solve -u - 256 = 48*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.061, 7, 2, -4, -6\/5?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*d - 2*d**5 - 7*d + 16*d**5 wrt d?\nAnswer: 280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 5:26 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 403\/300 - -1\/150. What is the common denominator of f and -3 + 2\/(-4) + (-27)\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 4.03. Let x = 419 + -424. What is the second smallest value in 0.5, d, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ffsnfsnfn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*o = -22, w - 7610*o + 2 = -7606*o for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/8*10\/(-15). What is the biggest value in t, -4, -0.2, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42747 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -317031?\nAnswer: 317032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32580 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 6*l**2 + 12*l - 11. List the prime factors of d(7).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 9:13 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4.1. Let r = -0.45 - -0.74. Let k = -31709\/70 - -4527\/10. Put k, b, r in decreasing order.\nAnswer: r, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + 5*c + 2. Let l(s) = s + 1. Let a be l(-4). Is y(a) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -b + 12, -3*x - 18 = 3*b - 6*b. Put 2, b, -3 in decreasing order.\nAnswer: b, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12110395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.093 + 0.0930138. What is v rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4570 + 4634 = -16*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * -0.1999.\nAnswer: 0.021989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19569 - -42744. Suppose 26*d = l + 6751. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -109*f - 3. Let r be a(-2). Suppose 922*s - 920*s + 2*v - 88 = 0, -2*s + 2*v = -84. What is the highest common factor of r and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1290 divided by -15041.\nAnswer: -1290\/15041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23845?\nAnswer: 5, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 > -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-30 + -7)) + -31.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 1 u when three letters picked without replacement from {x: 4, u: 2, f: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 6*y - y + (5 - 3 - 1)*(-2 - 2*y + 2))*(0*y**4 + y**4 + 4*y**4).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, 50, 134, 272, 476, 758, 1130?\n\"Answer: 2*r**3 + 9*r**2 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.008 - 1.012. What is n rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -15*t. Let r(a) = -105*a - 157*a + 48*a - 38*a - 199*a. Determine 4*r(f) - 121*x(f).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 3. Let l(f) = 3*f - 4. Give 5*l(a) + 6*r(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -402, 4\/101, -9, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65303621 (base 7) in base 14?\nAnswer: a53db8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50957412?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 3*u - 3*n - 860, -2*u = n - 640. What is the remainder when u is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0 - 1\/8*q**4 - 1\/120*q**6 + 0*q + 5\/6*q**3 - 6*q**2 - 1\/10*q**5. What is o(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/120 - a**5\/30 - a**4\/4 + 5*a**3\/6 - 4*a**2. What are the prime factors of h(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5680813 to the nearest integer?\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*m - w, 0 = -5*m - w - 5 - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -8. Let s(u) = -2*u - 11. Let k be s(g). Suppose 20 = 3*a - 5*x, -5*a + 28 + 12 = -k*x. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53546774 bigger than -53546774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u**2 - 3691*u - 31. Let t(g) = 3*g**2 - 1230*g - 11. Calculate -5*d(y) + 14*t(y).\nAnswer: 2*y**2 + 1235*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, j: 4, k: 7}. Give prob of picking 2 j and 1 k.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1059947 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*n + 3*z = -255*n + 13, 0 = -5*n + 5*z - 25. Solve 4*h + u = 50 - 42, h + 3*u = n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 325545084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*v + 112, -2*v - 36 = 2*d - 3*d. Let z be ((-16)\/d)\/(2\/20). List the prime factors of ((-52)\/6)\/(z\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {p: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18524208, 37048419, 55572630, 74096841?\n\"Answer: 18524211*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiuliuuii. What is prob of picking 1 i and 1 l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*i - 982 - 222 = 487 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/9 (c) -14\/117 (d) 0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 38*s**3 + 2725624*s**2 + 48876463358*s + 46301571684 = 0?\nAnswer: -35863, -18\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19268 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + 3*s**2 - 2*s**2)*(-4*s + 3*s + 2*s) - 253*s**2 + 497*s**2 - 2 + s**3 - 246*s**2 in the form p + n*s**2 + y*s**3 + h*s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 1052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 447972678 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*g**3 + 1\/3*g**4 - g**2 + 0 + 2\/3*g = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 11:52 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520638 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, k: 1, u: 5, d: 1, e: 2}. Give prob of sequence ceke.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 12, -4*i - 2*s = -6*s + 8. Suppose -i*x = 40 - 32. Let z be (-7010)\/(-20) + 2\/x. What is z rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 149? (a) -4 (b) -0.1 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1856358*c**4 - 5977647?\nAnswer: 7425432*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-11))\/((-200)\/(-22) + 192\/(-24)). Let d = -8\/19 - -158\/285. What is the biggest value in 3\/7, d, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:00 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-118)\/(-28) - (-10)\/35. Let r = -1309\/2 + 655. Solve o + 3*n + r*n**2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001700192 rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 891 and 2202066?\nAnswer: 24222726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10580 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + 5*k + 20. Let t be b(-5). Sort 3, t, -4.\nAnswer: t, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-16) + (-297)\/135 + (-4)\/30)*33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(440)\/(sqrt(8)*-2))\/(2*(sqrt(396) + (sqrt(396) - (sqrt(396) - -1*sqrt(396) - sqrt(396))))).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -189470 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -3, -0.07, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*20\/(-130) + 4\/26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2. Suppose 7 = o - 2*h, -2*h - 16 = -4*o - 0*h. Suppose -o*l = -174 - 75. Let f(r) = 1 - 85*r + l*r - 1. What is f(m(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1684, 1694, 1706, 1720, 1736, 1754, 1774?\nAnswer: 1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z. Let y(t) = -2*t + 270 - 270. What is y(w(a))?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18160 = -9*h. Suppose 151 = w - h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106 is divided by 264?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/60 - b**4\/2 + 2*b**3 + 4*b**2. Let s be c(11). Suppose 5*z = -10, -4*i + 2*z + 6 = -2*i. Solve -2*h + i + s = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -50\/19, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15326 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7735\/119*37\/(-37)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57785, -231783, -521981, -928379, -1450977?\nAnswer: -2089775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1280 + -0.5.\nAnswer: -1280.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 v, and 1 g when three letters picked without replacement from {d: 2, g: 7, w: 2, a: 5, v: 2}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6 - 6 + c - 8*c**2 + 7*c**2 + 12*c. Let x be f(12). Suppose -3*o = -x*o - 18. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/135)\/(2\/12*-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8376.38l to millilitres.\nAnswer: 8376380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 + g**2 - 2*g**2)*(7667 + 482*g - 7667) to o*g**2 + f*g**3 + i + b*g and give f.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -1\/3, 2\/7, 0.4, 2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 63 + 88 + 9 + 19*r + 9 in the form s*r + g and give g.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.59 - -0.59. Let s = -44.9999981 - q. What is s rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.019 times -0.15\nAnswer: 0.00285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppf when three letters picked without replacement from {f: 3, h: 3, p: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -675 (base 8) to base 3\nAnswer: -121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01861 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/660*-10)\/(3\/27*9)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 6*o - 582. Suppose 0 = -5*h + 8*h + o. Let y = 872\/9 + h. What is the second smallest value in 2.8, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69.7 - -69.700000028. Round q to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5248 and 820.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15, 0.2, 4\/3, 0.03, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.59819 millennia in months?\nAnswer: 691178.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034 minus 0.04594463?\nAnswer: -0.01194463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3224 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -0.5 (b) 1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4529282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 11*w**6\/120 - 11*w**4\/24 + 17*w**2. Find the second derivative of g(p) wrt p.\nAnswer: 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -0.3, -6 in ascending order.\nAnswer: -6, -5, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101011011110111100100?\nAnswer: 101011011110111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3209 or 3212?\nAnswer: 3209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**4\/3 + 389596*u**3\/3 + 779240*u**2 = 0?\nAnswer: -6, 0, 97405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -19*i**7\/14 + i**4\/2 + i**2 + i - 3. Find the third derivative of b(g) wrt g.\nAnswer: -3420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1)\/(63\/18 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/56924280 and -17\/8820?\nAnswer: 56924280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1331030201 + 2?\nAnswer: -1331030133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0498 + 1.1498. Let y(a) = a**2 + 5*a - 9. Let d be y(-7). What is the biggest value in p, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 310620?\nAnswer: 3416820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0*z - 5*d + 3, -4*d + 12 = 0. Let o = 0.8 + 4.2. Let t = 196.9 + -196.5. What is the second biggest value in t, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)*l**(-1\/5)\/l*(l*l**1)**(-2\/113) assuming l is positive.\nAnswer: l**(-1529\/1695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y + 10. Let j(l) be the third derivative of l**4\/4 - 3*l**3\/2 - 327*l**2. What is the smallest common multiple of j(y) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2605, 6013, 10239, 15283, 21145?\n\"Answer: 409*t**2 + 2181*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*4\/(60\/(-9)). Let f = 1.196 + -1.216. Which is the closest to -2\/3? (a) f (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6618*(1 + 0) - 0. Let b be (-8)\/(-44) - z\/22. Suppose -5*w + 305 = -2*w + 2*i, -3*w + b = i. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2 + 65*t + 240 = 0. What is t?\nAnswer: -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/221 and -31\/629.\nAnswer: 8177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (192\/20)\/((36\/(-150))\/(-3)). Calculate the highest common factor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1397*d**3 - 28*d - 18. Let a(r) = -1397*r**3 + 28*r + 18. Let m(v) = 3*a(v) + 2*u(v). What is the second derivative of m(w) wrt w?\nAnswer: -8382*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -15. Suppose 2*k = -c*u + 622, 4*k - 5*k + 414 = 2*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 11 + -22 + 25\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 4*z**3 + z**3)*(0 - 2 + 1) - 17*z**3 + 77*z - 77*z - 3*z**2 - 11*z**2 + 4*z**2 + z**3.\nAnswer: -15*z**3 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182455 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 755, 3008, 6763, 12020, 18779, 27040, 36803?\n\"Answer: 751*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4.88. Let a = -0.08 + h. Let t = 801 + -8809\/11. What is the fourth smallest value in 1, 3, t, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 28 = z, -z = 2*z + 2*o. Let g(b) = b**3 + 4*b**2 - 3*b - 7. What is g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10) - sqrt(40)) + 3 + (sqrt(17) - (sqrt(17) + sqrt(17) + -1)))*1.\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3890, 3869, 3848, 3827?\nAnswer: 3806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(-1 + sqrt(5)) - (sqrt(125) + sqrt(125)*-2 + -3).\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0 - 3. Find the second derivative of 7*o**3 - 8*o - 5*o**3 + 0*o**t wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**8)\/c)**(-38) assuming c is positive.\nAnswer: c**266","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 13*n - 4. Let w(t) = -33*t - 95. Let f be w(-3). Determine p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*h + 8, w - 2*h - 5 = -h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 9*s**2 + 9*s - 4. Let c be h(8). Let v = -0.08 - 4.92. Let r be 1\/((3927\/22)\/21). What is the third biggest value in c, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -1. Suppose -s = -5*f - 0*x - 4*x, 2*x + 66 = 5*f. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000424 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 70, -1, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -1) - (17 - 35 - 7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44766 = 228*f + 734*f - 133*f for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 20*z**2 - 22*z + 22. Let v be r(19). Let f = -15722 + 15728. What is the biggest value in 0, v, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2408 and 602?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 20166\nAnswer: 1\/20166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2. Let o(x) = -2180*x**2 - 2090*x**2 + 6295*x**2 - 2292*x**2. Give o(r(l)).\nAnswer: -1068*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167 - -167. Suppose 4*g - 98 = -3*o, 2*o - 4*g - g = 50. What is the remainder when 177\/(-12)*(-8)\/(i + 1) is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6))\/(((r*r**(-4)*r)\/r)\/r)*(r\/r**(-1\/2))**(6\/17)*((r\/(r**(-3)*r)*r)\/(r**2\/r))\/(r**1\/r)**(7\/4) assuming r is positive.\nAnswer: r**(43\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*k + 32 = 0, -5*u + 0*u = -5*k + 75. Let v(r) = -r**2 - 7*r + 82. Let w be v(u). Sort -5, w, 15, 2 in decreasing order.\nAnswer: 15, w, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 99*y**3 + 6*y - 116. Let c be 38\/(-10) - (-44)\/55. Let u(m) = 98*m**3 + 8*m - 116. Let i(q) = c*u(q) + 4*s(q). Differentiate i(x) with respect to x.\nAnswer: 306*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -572, -573, -574, -575?\n\"Answer: -b - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -720 divided by 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1731120955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 - 2*t - 1. Let j be y(-3). Let b be (-134)\/(-26) - j\/(-26). Suppose 5*i + 0*i - 5*m = -b, -2*i = -5*m - 1. Are i and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 19 - c**2 - 28 as l*c**2 + w*c + i and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*f + 326 - 252, -8*z - 168 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 2*f + 2. Let g = -9568 + 9581. What is the remainder when p(-7) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9245.7 - 9246. Which is the biggest value? (a) 4.44 (b) -2\/19 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + i + 23, i + 92 = 4*s. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 1014 = -16*m - 29*m - 552 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*i + 142 = -0*i, o - 2*i = -50. Let p be ((-28)\/o)\/((-2)\/(-9)). Suppose 2*k - p = 1. Solve k*q + a - 4 = -2, 0 = 5*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 0*a**3 + 4*a**2 + a - 1 + 0. Let z(m) = -13*m + 419. Let f be z(32). Calculate g(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6302501809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxynbbnvbvyyv. Give prob of picking 2 x and 1 n.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -191147 and -0.01.\nAnswer: -191147.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, n: 6}. What is prob of picking 2 n and 1 s?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h - 56*h + 28 = 0. Calculate the lowest common multiple of 9 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1 + -5)\/(-2). Suppose 2*q - 5*n = 76 + 176, -q + 5*n + 126 = 0. Suppose 0*o - g*o + q = 0. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 3190*l\/3 + 2095300\/9.\nAnswer: 2*(l + 230)*(l + 4555)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4*21890\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.8 + -54.2. Let r = -63.04 - p. Let v = 2 + r. What is the third smallest value in v, -0.4, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 19 (b) 2\/9 (c) 73\/602\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/12 - 13*y. Let n(d) = -d - 1. Let i(m) = -40*m - 12. Let g(c) = i(c) - 12*n(c). Give o(g(b)).\nAnswer: 784*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 5\/9, -0.1, -4\/3?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 352\/5*t + 8*t**3 + 224\/5 + 192\/5*t**2 + 2\/5*t**4.\nAnswer: 2*(t + 2)**3*(t + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**2 - 149*w - 150*w + 4*w**3 + 298*w in the form o + f*w + x*w**3 + g*w**2 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1497*p**3*s - 365*p**3 - 67*p*s - 163158*s wrt p?\nAnswer: -8982*p*s - 2190*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z**3 - 5*z**2 - 6*z. Let i be a(-2). Let f(c) = -52*c**3 + 4*c - 5. Let m be f(1). Let y = i + m. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 0*s**2 + 2*s**2 + (-3 + 2 - 1)*(2*s**2 + 2*s - 2*s)*(-5 - 2 - 1) as z*s + y*s**2 + v and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 3*a. Let m be r(-5). Suppose -k = 4*k - m. Suppose -k + 0 = -n. Solve 2*z = -n - 2, u = -2*z - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29493905, -58987808, -88481711, -117975614, -147469517?\n\"Answer: -29493903*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 r when four letters picked without replacement from {r: 18, e: 2}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/2829671 and -47\/653001?\nAnswer: 8489013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2 = l. Let h = 1.24 + -1.1. Which is the third biggest value? (a) l (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/((4\/(-48))\/((2\/(-12))\/(284\/213)))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301300 by -46.\nAnswer: -6550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1787 - -3415. Suppose s = 18*s - p. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 6*m**2 - 8*m**2 - 2*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55, -297, -717, -1309, -2067, -2985, -4057, -5277?\n\"Answer: p**3 - 95*p**2 + 36*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = p + 8. Suppose -2*q - 14 + p = 0. Let k = q - -102. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(2*r - r + 0*r) + (423*r + 20504 - 20504)*(-4 + 0 - 1) to the form x*r + o and give x.\nAnswer: -2117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 14 (c) 17 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 82 + -38 - 69.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -321101?\nAnswer: -321055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 4*h + 138, 31*h = 106*h - 33*h - 34*h - 264 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11110111100000?\nAnswer: 11110111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-435)\/(-105) - (-2)\/(-28)*2. Find the second derivative of -15*s**4 - 158*s + 56*s**4 + 22*s**b + 41*s**4 - s**2 wrt s.\nAnswer: 1248*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**9\/378 + n**5\/60 + 5*n**3\/6 + 7*n**2. Let c(u) be the first derivative of x(u). Find the second derivative of c(s) wrt s.\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*w = -826*w + 20445 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18962.221 + -18973. Let r = 10.7 + k. Round r to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 4.1, -0.01, 1\/38, -1, 0.3 in decreasing order.\nAnswer: 4.1, 0.3, 1\/38, -0.01, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/3016882 and 21\/10.\nAnswer: 15084410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 1. Let f(j) = -j. Let x(s) = -46*s - 275. Let u be x(-6). Let c be (2 - u)*19\/(-19). Determine c*t(y) + 6*f(y).\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76091 - 14841.1255.\nAnswer: 61249.8745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5654551 is divided by 152825.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - 1.79. Let b = u + 1.5. What is the closest to -2 in 2, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r - 2495942 = 728595 - 880019. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/8 - (-4)\/(-16). Let v(w) = 16*w**3 - w. Let l be v(c). Suppose -11*z + 5*i = -8*z + 32, -8 = 4*i. Does z = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5 = i, 1977 = 3*i - u + 1962 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300469980.9936 minus 24?\nAnswer: 1300469956.9936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, -777, 4, 5, 1, 7 in decreasing order.\nAnswer: 17, 7, 5, 4, 1, -5, -777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/30 and 121\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4021779?\nAnswer: 3, 317, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13852218 divided by -6926109?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-22)*a*a*a\/(a**6\/a)*(a**(1\/5)*a)**21 assuming a is positive.\nAnswer: a**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -0.1. Let w = 3.6 + l. Let p = -9 + 5. What is the second smallest value in -3\/7, p, w?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 1260*u**2 + 167589*u + 168846.\nAnswer: -3*(u - 107)*(u + 1)*(u + 526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -846828a + 4?\nAnswer: -8468286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/408 - (1 - (-1159)\/(-1037)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -10218, 2, -5, 4 in decreasing order.\nAnswer: 4, 2, 1, -3, -5, -10218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -32*z - 164. Let i be q(-5). Let s(y) = -5*y**2 - 2*y + 8. Let n(h) = 11*h**2 + 4*h - 17. Give i*n(r) - 9*s(r).\nAnswer: r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006529 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c + 4*c - 10 + 2*c - 4*c. Let p be j(7). Let u = p - -44. Calculate the highest common factor of u and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.4527?\nAnswer: -0.22635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, y: 2}. What is prob of sequence yyrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 445\/18744 - 22\/213. Let v be -31 + 60*(-256)\/(-480). Is v at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3098390 to the nearest integer?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3865 by -626.\nAnswer: 3865\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 405 = -26*b. Let v = b + -75. Suppose -964 = -4*i + 5*a - v, 0 = a + 2. Is 36 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.2. Let g be 0 - (-1 + (-16)\/60*-3). Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*x + 3*x + 3*x)*(-2 + 2 + 1) + (-1 + 0 - 1)*(2*x + 3*x - 3*x) - 5*x + 2*x + 5*x)*(-4*x**2 + 2*x**2 - x**2).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.44 * -1.07\nAnswer: 1.5408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/419430 and -79\/56265.\nAnswer: 4613730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.197473692 rounded to three decimal places?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -363 + 244. Let s = p + 116. What is the third smallest value in 0, s, -5\/6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 21 - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835894760?\nAnswer: 2, 5, 17, 1229257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144959427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4277 - 2694. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 3591560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0.5. Let z = h - 0.04. What is z rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3165.\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*n + 161*n = -66 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 811 - 831. What is the closest to 0 in -2\/19, h, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0*j + 4*j)*(0 + 0 + 1) - 4 + 671*j - 347*j - 349*j to w*j + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 13 = -18*d - 3*a, 2*a = 2*d - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-488)\/(-54) - (-27)\/(-729) and 1114.\nAnswer: 10026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 21 - 81 = 0. Solve -3*z - 14 = s, 0 = -o*z + 8*z - 2*s - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.097 - -0.06. Let t = 0.163 - f. Suppose -z = -5*u - 3 + 8, -u = -5*z - 25. Which is the third smallest value? (a) -1 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -2*j - 46, -3*x = 2*j - 58. Suppose 6 = 4*y + x. Let h be y\/(-14) + 40\/(-56). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40.4 * -1\nAnswer: 40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c - 10*c. Suppose 6*w - w = 15. What is the second derivative of -4*i + 4*i**3 + 0*i**w + i**3 + c*i**3 wrt i?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 248 = -5*y, -2*y + 0*y - 5*t = -76. Which is bigger: y or 46?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9281802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 4*d + 2. Let u be s(3). What is the tens digit of 18\/(-1)*(u + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*h + 816, 0 = 124*h - 128*h + 3*v + 1576. What is the highest common divisor of h and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -43*u**2. Let l(y) be the second derivative of -y**4\/12 - 21*y. What is l(x(n))?\nAnswer: -1849*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001367 to seven dps.\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05555852646 to 4 dps.\nAnswer: -0.0556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1298104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 107245854*w - 214491710*w + 107245856*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25604176 a multiple of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 35 = 33. What is the smallest value in z, -1\/5, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k - 5*k + 2*k + k**2 - 3*k**2.\nAnswer: -2*k*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 283 and -0.045.\nAnswer: 282.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.87984 centimeters to kilometers.\nAnswer: 0.0005987984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*s + 240 - 24 = 0. Which is the third biggest value? (a) -0.1 (b) s (c) 102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -16. Solve g*p - 4*p + 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 - 132.8. Let f = 28.14 - 31.2. Let d = 3 + f. Which is the nearest to x? (a) 0.2 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22348 and 148?\nAnswer: 22348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**6\/51 - 12*z**5\/85 + z**4\/34 + 4*z**3\/3 + 12*z**2\/17 - 80*z\/17 - 406. Suppose j(p) = 0. Calculate p.\nAnswer: -5, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/40 - w**5\/60 + w**2. Let c be y(1). Suppose c*u - u + 3 = 0. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 576\/7 + (-18)\/63. Let q be (185\/74)\/(1 + 2\/(-4)). Suppose 0 = -q*b + 78 + u. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*d = -127*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 283, 684, 1235, 1930, 2763, 3728, 4819?\nAnswer: 6030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 465160*a*u - a - 4846*u - 12 wrt a?\nAnswer: 465160*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 28*q - 84. Give w(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 1, 7, 25, 61?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3514 + 952 - 380)*(-2*k + k**2 + 2*k).\nAnswer: 2*k**3 + 4086*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 1 + 21. Let w(j) = -44*j + 13. Let x(p) = 15*p - 4. Let h(d) = -6*w(d) - 17*x(d). What is the units digit of h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21352922?\nAnswer: 2, 19, 37, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 56. Find the third derivative of 25*q**2 + 5483*q - 5483*q + k*q**5 wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400254 - -174.\nAnswer: -400080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 21*v**2 - 44*v - 50. Calculate p(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 5*h + 6. Let o(j) = -3*j**2 - 14*j + 18. Let s(n) = 11*b(n) - 4*o(n). Calculate s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b - 4. What is the remainder when (-6)\/(-10)*275\/5 is divided by w(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by -9.\nAnswer: 136\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1275 - 541 + 1966*x**3 - 732.\nAnswer: 1966*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13920 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5672, 22652, 50962, 90608, 141596, 203932, 277622?\n\"Answer: b**3 + 5659*b**2 - 4*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 3, 0.4, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534186903.\nAnswer: 3, 17, 149, 70297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 184, -40, -352, -752, -1240?\nAnswer: -1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 5*l**2 + 9*l - 12. Determine y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219432 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f + 60*f - 1309787 = 9*f. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btwkddk. What is prob of sequence dtd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219971.7 centuries to millennia.\nAnswer: 21997.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-222) - 22\/(-102)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxlnlzzf. What is prob of sequence clnz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 5.9. Which is the nearest to -13? (a) z (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -574509?\nAnswer: -63195.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -249*n - 1265 - 1244 - 402*n + 2450. Is q(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 13 = -s. Let n(z) be the first derivative of 0*z - 2\/3*z**3 - z**2 - s. Suppose n(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117540112 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 200*i**4 + 198*i**4 - 10*i**2 - 55*i**3 + 47*i**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4326*l**2 + 8 - 1 - 1 - 4338*l**2.\nAnswer: -12*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1161869 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + 60 + 65 - ((13 - 1) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose k + 2*g - 39 = j, -5*k + 5*g + 161 = -94. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 782 + 663 = 0. Solve 0 = -3*h + p - 13, -3*p = 5*h - 7*p + z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Factor -17*c**x + 2*c**2 + 13*c**3 + 3*c**2 - 16*c + 11*c**2.\nAnswer: -4*c*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(2) - sqrt(40)\/(sqrt(8)*-2).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 - (-6 + 8)) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 24. Let a = -8 - -8.03. Let d = 5.03 - a. What is the nearest to 2 in d, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342474 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -197, -16, -5 in increasing order.\nAnswer: -197, -16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2569.1 minus -7398?\nAnswer: 4828.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(190)*2 - sqrt(190))\/sqrt(10) + (sqrt(76)*6*-3)**2)*4.\nAnswer: -20*sqrt(19) + 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 + 12*l + 11. Determine h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 = 0, b - 190 = -2*b + 5*x. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 10) in base 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68640074 to the nearest integer?\nAnswer: 8285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 179 and 21315?\nAnswer: 3815385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -66. Let i = p - 61. Suppose i*z = -6*z. Solve z = -3*a + 3 + 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 - h + 160. Let f be n(0). Let d be (f\/(-192))\/(15\/(-4)). Determine z so that -8\/9*z - 8\/9 - d*z**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 4. Suppose -7 - 23 = -10*d. Calculate v(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -28. Suppose -16*g - 23 = -w*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000116624608 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10998286787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4808, -9758, -14688, -19598?\n\"Answer: 10*u**2 - 4980*u + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 71101 times -176\nAnswer: -12513776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3793 - -3792.81. Which is the closest to -2? (a) x (b) 7\/4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 16 + 6, a + 3*n = 93. Let m be (-3)\/a*4*-6. Factor 0 + 0*g + 4\/3*g**2 + m*g**3.\nAnswer: 2*g**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -1262?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1890369 and 32524041?\nAnswer: 1268437599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.5 (c) -1 (d) -2\/9 (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/3)\/((-2)\/9). Let d(o) = 5*o**2 - 6*o - 5. Let l(j) = -j**2 + j + 1. Give f*l(c) + d(c).\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -6 + 16\/1. Suppose -3*j + 8*j - h = 0. Suppose 4*t - 4*r - 18 = -j*r, -4*t = -3*r - 14. Sort -1, 2, t in ascending order.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*-3*sqrt(7) + (sqrt(112) + (sqrt(112) + 1 - sqrt(112)) + sqrt(112))**2).\nAnswer: -1796 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49691, 95540, 141375, 187190, 232979, 278736?\nAnswer: 324455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from ggccgctcncccgtgktn.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 199466335407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 + 172. Solve -2*c - 14 = m + 2*m, 0 = k*m - 3*c - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 291531, 291529, 291525, 291519, 291511, 291501?\n\"Answer: -d**2 + d + 291531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -66.41*64.07\nAnswer: -4254.8887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.2 - -3.8. Let i = -3448 - -3448. Is o bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -1, 28, 95, 212, 391, 644, 983?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 1a1?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(133)*2 - sqrt(133)) - sqrt(133) - sqrt(133))\/(-1*sqrt(700)).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 25, 31, 0 in decreasing order.\nAnswer: 31, 25, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - h**2 - 4*h**2 + (-2 + 1 + 2)*(h - 2*h**2 - h) + (32*h + 6 + 87*h - 82*h)*(-4*h + 0*h + 2*h) to t + c*h**2 + i*h and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1122 and 39307961?\nAnswer: 235847766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6202 or 0.1?\nAnswer: -6202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3380 = -5*g - 2*f, 2*g + 2*f = -1370. What is the least common multiple of 33 and 3 + (g\/(-28) - 4\/14)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24907, -24909, -24911?\n\"Answer: -2*q - 24905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001001010111 (base 2) to base 3.\nAnswer: -2201212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 14 = -30*k. Suppose 5*h + k*s = 134, -s - 3*s = 12. Suppose -29 - 11 = -4*u. What is the remainder when h is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 40 - 40 + 16*x to z*x + s and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 272 + -264. Suppose -4*g = -3*y + b, 10*g + 11 = 4*y + 5*g. What is the greatest common factor of y and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000279237 rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 4*o - 93. Let m be l(-8). What is the greatest common factor of 7 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*w + 2*q + 13, 1 = 4*w + q. Suppose 84 = 75*g - 96*g. Calculate the remainder when 13 is divided by w*3 - (-3 + g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = 24. Suppose d*w - 13*w = 4403. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -2*l**5\/5 - l**4\/3 + 15*l**2\/2 - 6*l. Differentiate f(w) wrt w.\nAnswer: -24*w**2 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r*r**(-10))\/(r**(-15)*r)**(-3\/4) assuming r is positive.\nAnswer: r**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -510?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2. Let t(h) = 3242574*h. Determine b(t(y)).\nAnswer: -10514286145476*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -276789 (c) 21 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 206174 + -611948\/3. Let z = 2171 - k. What is the common denominator of 7 + (-21540)\/2200 + (-2)\/(-22) and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/9 - 74*t**3\/9 + 1006*t**2\/9 - 5950*t\/9 + 4312\/3 = 0 for t.\nAnswer: 7, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-116) + ((-33)\/2)\/(-3) - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160938*t**2 + 89470*t?\nAnswer: 321876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2587901 kilograms?\nAnswer: 0.0002587901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 12 + -42 + 7 + 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7986 and -157\/2904.\nAnswer: 31944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*c**3*f**2 - 2*c**3*f + 834*c**3 - 583*c**2*f**2 - 2*c**2 + 31*c + 21*f**2 + 3*f wrt f?\nAnswer: 56*c**3 - 1166*c**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6*b**5\/5 + 54*b**4\/5 + 18*b**3 - 30*b**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 6*k - 5. Let y be ((-6)\/8)\/(k\/(-16)). Find the first derivative of 7 + 4*t**3 - 3*t**y - 3*t**3 - 2*t**3 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/6 - (-3 + -2). Let q be n\/(2\/(-12)*(-2 - 7)). Let w = 62\/119 + -4\/17. Put w, q, -5 in ascending order.\nAnswer: -5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 7. Let j be c(14). Let k = j + 26. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g**2*o**2 + 464*g**2 - 125*o**2 wrt o?\nAnswer: 6*g**2*o - 250*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 148592 divided by 251\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 96 - 86 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17665236 is divided by 362.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**1*u*u*u**(-4))**(2\/13) assuming u is positive.\nAnswer: u**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -218 (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4 + 2*l**2 + 3*l**2 + 2. Let p(r) = 11*r**2 - 5. Suppose 4*h - 8 = 92. Suppose 0*i - h = 5*i. Give i*u(s) + 2*p(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5886790094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -52, -119, -256, -487, -836, -1327, -1984?\n\"Answer: -4*m**3 + m**2 + 4*m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36582716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 199.1 (b) -0.16 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7854759 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -5*n - 4*p, 29 = n + p - 4*p. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128*4591.\nAnswer: 587648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l**2 - 3*l)*(-5 + 3 + 1)*(4*l - l - 2*l)*(1 + 3 - 3)*(1153 - 211 - 347).\nAnswer: 1785*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 6*h + 10. Let i be x(5). Suppose i*l = -20, -2*j + 7*j + 4*l = -41. Let s(p) = p**3 + 5*p**2 - 3*p + 3. List the prime factors of s(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22572790, -22572798, -22572820, -22572862, -22572930, -22573030, -22573168, -22573350?\n\"Answer: -t**3 - t**2 + 2*t - 22572790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1579c8 + -5?\nAnswer: -1579cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffffxefefnje. Give prob of picking 1 j and 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Let a be (-4)\/(-5)*5\/h. Is (5 - 3)\/(a\/13) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4 - 184*w**3 - 31408*w**2 - 123296*w - 122496 = 0 for w.\nAnswer: -66, -2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -58\/15?\nAnswer: -58\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, -0.146, 5, -24, 0 in descending order.\nAnswer: 5, 2\/9, 0, -0.146, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 87685.73ml in litres?\nAnswer: 87.68573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2083, 1874, 1515, 1006, 347?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Sort 2\/11, a, -2\/11.\nAnswer: -2\/11, 2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 424133 not equal to 424149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 217 + 67 = 0. Suppose -51*p + 2695 = -2*p. What is the smallest common multiple of u and p?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.1528 + -0.1528. Which is the second smallest value? (a) -1\/5 (b) -2 (c) -0.5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 73. Is r(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4326*q - 2499*q - 1825*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Let g = 1 - 1.2. Let p = -375 + 375.2. What is the closest to g in p, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 - 23*r**2 + 67*r**2 - 20*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*i = -0*i + 16, 4*m + 61 = -5*i. Let k(g) = -2*g**3 - 8*g**2 + 12*g + 9. What are the prime factors of k(m)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15*5 + (6 + -5 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-70))\/(2\/(-2))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 1083 = -863. Let x = -94 - u. Calculate the highest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380667756 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1020140320332 - 2?\nAnswer: 1020140320330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425277 is divided by 12508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 6*m**2 - 2*m + 18. Let x be g(-5). Suppose -3*w + x*z - 5265 = -21039, 0 = 2*w + 2*z - 10512. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:44 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 13) to base 7\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 3:57 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495427 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -38, -55, -70, -83, -94, -103?\n\"Answer: l**2 - 22*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -645410 - 45?\nAnswer: -645455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-1))\/(-30)*18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 34*s**2 + 1301*s - 46986. Calculate h(35).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**2*w**2 + q**2*w - 2*q*w - q - 672789*w**2 + 16195 wrt w.\nAnswer: 8*q**2 - 1345578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.849934443 to 2 decimal places.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 19*f - 31. Suppose 2*z + o - 370 = 3*o, f*o = -z + 165. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (-1 + sqrt(7) + sqrt(7))*-5 + -1*sqrt(7) + -1 - ((sqrt(7) + 0 + sqrt(7) - sqrt(7)) + -4 - (sqrt(7)*2 + sqrt(7))*6))**2.\nAnswer: 112*sqrt(7) + 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:29 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -72, -154, -270, -432, -652, -942, -1314?\n\"Answer: -2*v**3 + v**2 - 49*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992*x + 2292*x - 952*x - 1062*x.\nAnswer: -714*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x - 17. Let c be 1\/(-5) + (-6 - (-64)\/20). Let u(j) = 4*j + 7. Let d(v) = c*h(v) - 7*u(v). Calculate d(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 13*f**4\/12 + f**3\/6 - 3*f. Let p be w(-1). Suppose -p = -4*b - 0*b. Let x(i) = 2*i**2 - 2*i - 2. Give x(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12\/5)*n**3*((n**6*n)\/n*n*n*n)\/(n*((n\/(n**(-5)*n))\/n)\/n*n))**(3\/38) assuming n is positive.\nAnswer: n**(69\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5 - 10*v**4 + 489*v**3 - 5*v**2 + 74*v + 2 wrt v.\nAnswer: -120*v**2 - 240*v + 2934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/(9\/6*-1). Let y be 4\/q + (-441)\/(-91). Let n(r) = -5*r - 6 + 11*r - 5*r + 1 - 1. Give n(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233060578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-2)\/(-50)*(-45 + 17 - (-24 + -9)). Let d = 0.04 - 0.1. What is the nearest to -1 in d, 5, -1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 + 5*s - 4. Let z be h(-6). Let d(v) = 23 + v**z - v + v + v. Is d(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 7:10 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 509874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) -13121 (d) 0.53 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*s**2*u + a*s*u**2 + 118*a*u**2 + 170*a*u - 216209*s**2*u**2 - 77*s**2*u - 44 wrt u?\nAnswer: 2*a*s + 236*a - 432418*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 285. Suppose 0*p = 2*p - m + 27, 4*p - 5*m = -c. Let o = p + 25. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**4\/5 - 48*v**3\/5 + 124*v**2\/5 + 168*v\/5 = 0.\nAnswer: -14, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127059230\/392527 + -19098\/59. Let j = t - -911269\/319344. What is the common denominator of 71\/24 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(16 - (-2)\/2). What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-20)*-26084)\/(4\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b + 7. Let l be g(-3). What is the closest to 1 in 0.4, 2, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.062 + -0.062. Suppose z - 2 = a, z + 5 = -4*a + 32. What is the second smallest value in z, m, -0.1, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 3. Let t = w + -4. List the prime factors of 3*(4 + t) - 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 11 + 0 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, y: 9}. Give prob of picking 1 x and 1 y.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107218109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 32. Let h be n(0). What is the greatest common factor of h and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/70 - 3\/14. Suppose 7*m - 6*m = 4*y + 10, 0 = m + 3*y - 3. Which is the smallest value? (a) -5 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*c + 2 + 7, -4*c - 4*j = 0. Let f(q) = -4*q + 5. Let u(h) be the second derivative of 5*h**3\/6 - 3*h**2 - 3*h. Determine c*u(r) + 4*f(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/29 and ((-10)\/(-72))\/(-1*(-8)\/(-448))?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Let u(d) = 8*d**3 + 23*d**2 + 2*d + 11. Let f(n) = n**3 + 4*n**2 + 2. Let h(k) = -7*f(k) + u(k). Determine h(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1.8, -2\/5, -2, 649?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 16*f - 30*f. Suppose 0 = -5*x - 23 - 7. Let r = 24 + x. What is the least common multiple of f and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -235 + 2.17.\nAnswer: -232.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 4*f - 8. Let a be w(-6). Suppose 4 = a*x - 16. Suppose -x*v + 3*k = -59, -28 = -2*v + k - 2*k. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 7*n**2 - 8*n + 2. Let u be b(8). Let f be (68\/(-16))\/((-1)\/4). Suppose -f = -3*c - u. Solve 1 = -2*v + c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13916569 - -0.3?\nAnswer: -13916568.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 669, 681, 717, 789, 909, 1089, 1341, 1677?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6767248 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56\/125 + -12349\/500. What is the common denominator of 59\/2866 and q?\nAnswer: 5732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -483, -730, -979, -1230, -1483?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/67)\/h)*h**(32\/3))\/(h**7\/(h**(25\/3)\/h)) assuming h is positive.\nAnswer: h**(872\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 989*v - 1043*v - 1871*v + 5 + 1 - 4 to r + m*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t + 3*d - 474, 0 = 5*t + 3*d - 788. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312 a factor of 37584797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 7833440*r**3 - 3 + 2 + 11*r - 7833346*r**3 + 0 to the form y + i*r + j*r**3 + x*r**2 and give j.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.0115, 0.5, -1\/2, 57, 1\/8 in descending order.\nAnswer: 57, 0.5, 1\/8, 0.0115, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 5 (c) -5\/4 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2898 + 24 = 974*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 400 + -401. What is the common denominator of ((-29)\/m)\/((-44)\/4*4) and ((-198)\/(-225))\/((-8)\/(-110))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 110, 947, 3234, 7697, 15062?\n\"Answer: 121*c**3 - c**2 - 7*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - (-22 + 15 + 6)) + -81.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18638467 is divided by 2856?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1329 or -1314?\nAnswer: -1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/5)*b**(-1))\/(b**7*b*b*b**(2\/5)*b))\/((b\/(b**11*b))\/(b*b**(-13)))**(-42) assuming b is positive.\nAnswer: b**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.19 + -0.19. What is the second smallest value in m, -2\/11, 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 17*h**2 + 16*h + 24. Calculate x(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 48. Let z(i) be the third derivative of i**5\/15 - 72*i**2. Determine a(z(m)).\nAnswer: -8*m**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 9 + 7 = 0. Let t(v) = v**3 + 9*v**2 + 4*v - 1. Let h(y) = y**2. Let n(o) = 4*h(o) - t(o). Determine n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 11085 = -b, -b + 55509 = -6*b + 3*w. Let r be 6000\/(-2)*b\/(-9). Round r to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2\/61)\/g))\/g*g\/(g\/(g*g\/(g**(-13)*g)))*g*(g*g*g**(-14)\/g*g)**(-24) assuming g is positive.\nAnswer: g**(18546\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -3 - (-4)\/(-2 - -6). Solve -3*o - 25 + 10 = i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 30 = -3*p, -3*i + 60 = i - 4*p. Suppose 5*f + i = 0, 3*f - 1697 = -3*b + 5293. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, -0.3, -6385?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 32*q + 32*q + 6*q + 0.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2184 divided by 21\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 3*t + 4*c = -176, 2*c - 74 = -2*t. What is the greatest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/181? (a) 27 (b) -5 (c) -4 (d) 0 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6093706, -6093623, -6093492, -6093319, -6093110, -6092871, -6092608, -6092327?\nAnswer: -6092034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -95? (a) 0.4 (b) -1\/4 (c) -1 (d) 0.5 (e) 273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3102 - -0.1534\nAnswer: -3101.8466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummddo. What is prob of sequence mdum?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/11*(-165)\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000367682 rounded to six dps?\nAnswer: -0.000368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20775689 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -39 + 20*x + 3*x**2 + 56 - 18*x + 8*x**2 - x**2. Let m(a) = 3*a + 1. Let n be m(5). Is d(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -2*b. Suppose -15 - 24 = -b*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(-2*((sqrt(1088) + 1 + -5 - (sqrt(1088) - (sqrt(1088) - ((-1 + sqrt(1088) - sqrt(1088)) + -1 - sqrt(1088))))) + 5))**2)*3.\nAnswer: 2304*sqrt(17) + 104679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399 is divided by 1396.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -0.2 (c) -1\/2 (d) -0.1 (e) -0.048\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3018*r + 21213. Let f(b) = 4508*b - 31821. Let k(g) = 5*f(g) + 8*n(g). What is the first derivative of k(c) wrt c?\nAnswer: -1604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 6 + 4. Let n = 6 - 5.95. Let l = n + 0.45. Which is the biggest value? (a) l (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i*i**(-4))**(-10\/9)\/((i**(1\/12)\/((i\/(i*i**(2\/11)\/i*i))\/i*i))\/(i*i\/i**(1\/7)*(i*i**5*i)\/i*i*i)) assuming i is positive.\nAnswer: i**(41989\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -72*y**2 + 2*y + 4. Let i be m(-2). Let h be (-2035)\/8 - 108\/i. Do h and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Suppose -5*s + 3*b + 683 = 0, -1 = -2*b + n*b. Suppose -4*t + 4*c = -s, t + 5*c = 2 + 2. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -3, -5705, 1?\nAnswer: -5705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 2*f = 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {x: 4, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 131*a + 441. Give x(-67).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2523044 - -1?\nAnswer: -2523043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/11)*f**4*(f\/f**(-1))**(27\/4))\/((f**(-2\/7)\/f)**(-10)\/(f**0\/(f*f**(-5)*f))) assuming f is positive.\nAnswer: f**(1191\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -50*x**2 - 10*x + 15. Let t be a(2). Let b = 210 + t. Solve 3*z - 11 = -4*k, 0 = -2*z + z + b*k - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5789465 divided by 5.\nAnswer: -1157893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (6 + -7))\/(-2). Suppose x = -4*p + 8*p - 8960000. What is p rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 2*j + 4. Let m be g(3). Is 4 a factor of m + 33\/3 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 15 + -4 - (1 - -3). Let d(p) = -3*p**2 + 5. Let t(n) = -n**2 + 1. Calculate x*d(h) + 10*t(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 200411*i + 290 - 400834*i + 200417*i as q + g*i and give q.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27319 + -25565. Calculate the remainder when r is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4*3\/72*65 and (-2)\/(-4)*(-38 + -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -111233?\nAnswer: 111233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 + (-6 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2447536 divided by -29848?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1)\/((-6)\/(-8)). Let m be 3\/q - (-2)\/(-8). What is the remainder when 22*m\/(4\/(-2)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*u + 3*u - 20, 4*u = -3*s + 19. Let j be 1\/(s\/(30 + -5)) + -4. Calculate the greatest common divisor of 16 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**5 + 388*q**4 - 372*q**3 - 1156*q**2 + 376*q + 768 = 0?\nAnswer: -1, 1, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.29 - 2.31. Let v = 0.6 + k. Which is the biggest value? (a) -5 (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*5*(-1)\/3. Suppose -55 = 4*f + 5*l, -22 = 2*f - l - y. Let i be (f\/4)\/(7\/(-14)). Solve i = h + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) - (-456)\/21. Let j(l) = 6*l**6 - 11*l**5 - l**2. Let s(o) = -o**5. Let h(d) = g*s(d) - 2*j(d). Find the third derivative of h(n) wrt n.\nAnswer: -1440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99.5*140619.\nAnswer: 13991590.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*n = -98, -42*n + 20 = -47*n. Suppose 0 = 58*f - k*f - v - 62, 0 = 4*f + 3*v - 74. Solve 3*u = 7*u - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 189?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + -1 + -2 + (sqrt(55) + 1*sqrt(1980))\/sqrt(5) + (sqrt(22)\/sqrt(98) + (sqrt(11) - ((sqrt(22)\/sqrt(2) - sqrt(11)) + -1)))*-1.\nAnswer: -4 + 104*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:45 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**7)\/j**(2\/75)*((j**(1\/3)*j*j)\/j)**(1\/20) assuming j is positive.\nAnswer: j**(-99\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 10:40 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 + 833 = 5*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88\/9 + 2\/3*h**3 + 142\/9*h**2 + 224\/9*h.\nAnswer: 2*(h + 1)*(h + 22)*(3*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-9)*90\/120 + (-8)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -232 + 107 - 439 + 37*b - 40*b + 70 as h + k*b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*((-36)\/(-52))\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1353)\/41)\/((-2)\/14) a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -777309\/14 > -55521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -885*z - 13. Let j(b) = 442*b + 5. What is 2*g(l) + 5*j(l)?\nAnswer: 440*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424.52508 take away 8?\nAnswer: -1432.52508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18501*w - 29795867 + 29795867 to i + b*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*j = 3*z - 42, -4*z - 84 = j. Let d = -12 - z. Let r(l) = -l**3 + 9*l**2. Let h be r(d). Solve 1 = -t - h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -259\/4. Let u = 38.6 + -38.5. Suppose 7 - 3 = -2*g, 0 = 2*s + 4*g + 18. Which is the third smallest value? (a) k (b) s (c) u (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -620 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (58\/(-4) + -4)*2. Let t = -23 - b. Let s = -4 + 9. Calculate the remainder when t is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = -89 + 5 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 626318*k - 701931.\nAnswer: 626318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 39878*p**3 - 3*p**4 + 2 - 3 - 39877*p**3 + 128*p as x*p**3 + j*p + h*p**2 + m*p**4 + b and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864443 is divided by 432162.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*s + 6 = 3*s, -5*n = -s + 39. Is (-12)\/42 - 135\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 31*j = -30*j - 13, -4*d + 29 = 3*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -14, -88 in ascending order.\nAnswer: -88, -14, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 + -93. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303.169 + -303. What is z rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 626*r*t**2 + 111*r*t + 2*r + 11*t**2 - 16*t - 2 wrt t.\nAnswer: 1252*r + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -17. Let n(m) = -8*m**3 + 7*m**2 + 7*m - 1. Let x(o) = 4*o**3 - 4*o**2 - 4*o + 1. Let t(g) = i*x(g) + 4*n(g). Differentiate t(f) with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4702789517.\nAnswer: 4702789517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4967, 10459, 19617, 32441, 48931?\n\"Answer: 1833*l**2 - 7*l + 3141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 19*v**2 - 6*v + 106. Calculate o(-9).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1, 6, 5\/7, 98?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281785697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.12 - -0.12. Let h = f - -6.5. Let t be 5\/(-42) - (-2)\/7. Which is the closest to 0? (a) h (b) -0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.56 - 1.66. Let n(f) = f**2 + 9*f + 7. Let r be n(-8). Sort r, g, 2\/21 in decreasing order.\nAnswer: 2\/21, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*r**2 - 135*r**2 + 369*r**2 - r**3 - 131*r**2.\nAnswer: -r**3 - 94*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*7\/(-20) - 9420\/4200.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Let l(a) = -a**2 + 10*a - 8. Let s be l(9). Differentiate -m - s + k*m + 3 with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (2 - -2 - (-12 + (25 - 2)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131407 + 130657.69. Let f = u - -744. Let z = -5 - f. Round z to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**4\/12 + u**3 - 2*u**2 + 2*u. Let i be x(5). Suppose -6 = -t + i. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 11*a - 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1114237, 1114201, 1114165, 1114129?\nAnswer: 1114093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69840 - 69613 - 9*r + 139446.\nAnswer: -9*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o + 0*o**2 + 11 + 8\/3*o**3. Let z(x) be the second derivative of x**3\/2 + 82*x. Give d(z(l)).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6}. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-18)*6 - (0 - 2). Suppose 4*b - 8*b + 371 = 5*t, -4*b + f*t = -380. List the prime factors of b.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315 - -307) + (32 - (7 - 13))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a00 (base 13) to base 11\nAnswer: -12a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/((-3)\/3*1). Let j(h) = 50*h**2 + 1 + 3*h**3 + h - 2*h**3 - i*h**2. Suppose m + 8 = -2*l, m = -l + 6*l + 13. Determine j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 7 = -29 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjee when four letters picked without replacement from ejjjejj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l = 111*l - 2351650. What is the greatest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 945552764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 1. Let x(w) = 8*w + 74. Give f(x(l)).\nAnswer: 64*l**2 + 1184*l + 5477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 756\/(-693)*(-264)\/(-9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61.2135 + 2.3405. Let f = n + 0.046. What is f rounded to 0 decimal places?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -11*r + 6. Suppose 0 = -2*p + p - 9. Is (-19298)\/(-3) - r\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.46178 or 5?\nAnswer: 0.46178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Let r be (-10)\/(-6) + f\/6. Suppose -5 = -n - u + 5, n + 4*u = -r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3724343 is divided by 519.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l - 790286 + 290968 - 197518. What are the prime factors of l?\nAnswer: 41, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 76, 97, 136, 199, 292?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 1\/18, -2\/7, -0.7?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -28*u + 68. Let r be i(2). Suppose 3*s - 3*h = 0, 10*s + 14 = r*s + 5*h. Solve s*k + 0*k = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-33) - (-248)\/(-88). Let f(a) = -3*a - 3*a**2 + 2*a**3 + 3*a - 3*a**3 - 4*a. What is f(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 - 24?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -0.1, 0.46, 1.1?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47489734?\nAnswer: 2, 67, 354401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r - r + 4*r - 66. Calculate the least common multiple of 3 and t(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1956040 is divided by 273?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013.36038 rounded to zero decimal places?\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/17)\/w**(-5\/2)*(w\/(w\/w**(-2\/5)))\/(w\/(w*w\/(w\/w**(-2))*w)) assuming w is positive.\nAnswer: w**(167\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.82 and -572764.\nAnswer: -572763.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012022103 to six decimal places.\nAnswer: -0.001202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 273501835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.4046 millimeters in centimeters?\nAnswer: 9.54046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -43, -48, -51, -52, -51, -48?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 14. Let x be t(-6). Let j(v) = -30*v**3 + v**2 + v. Let d be j(-1). Suppose 31*a = d*a + 2. Put 1, a, -1, x in ascending order.\nAnswer: x, -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.5 (c) -3295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 2\/(-6)*(68\/16 - -1). Let w(s) be the second derivative of c*s**4 + 0 + 25\/2*s**2 - 6*s + 1\/4*s**5 - 15\/2*s**3. Factor w(j).\nAnswer: 5*(j - 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o. Let i(y) = -y + y - y + o. Let f(s) = -2*s + s + 2*s. What is i(f(b))?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*p - 3*w, -p + 3*w = 2*w - 3. What is the remainder when 7 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**7\/210 + x**6\/45 - x**5\/30 + 41*x**3\/6 + 66*x**2 - 1. Let a(l) be the first derivative of d(l). Factor a(f).\nAnswer: -4*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x + 66. Let g = 73 - x. What is the highest common factor of g and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.05 (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*s + 36, 68*s + 3*o = 71*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 - (-66 + 33)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*w - 0*m + 700, w = 3*m + 187. Suppose h = -h + w. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-10)\/75)\/(8\/(-30)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 3. Suppose -100 = -5*p - 2*g + 3*g, -5*p - a*g = -120. Is p\/(-14)*(-2274)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.1396l in millilitres?\nAnswer: 246139.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + p - 16 = -3*p, 5*p = -4*m + 21. Suppose 22 = -m*d + 6. Put d, -13, 3 in descending order.\nAnswer: 3, d, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a23 (base 13) to base 7\nAnswer: -116442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(-2*sqrt(2)) - sqrt(2))*6.\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*k + 148*k + 14927 = 0. 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 3*o**5\/8 - 9045*o**4\/8 + 5454135*o**3\/4 - 3288843405*o**2\/4 + 1983172573215*o\/8 - 239170612329729\/8 = 0. Calculate o.\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.041205 - -221.251205. Round v to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 4, y: 2, s: 3}. Give prob of picking 1 k and 2 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*g + 326 = j, 2*j = 5*g + 310. Suppose 169 = 402*i - 1841. What is the highest common divisor of j and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8595 + 10687. What are the prime factors of y?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - -7) - (2 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*h + 960 = 432*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 10 - (-5 + 4)) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -844*r + 74154. Give v(88).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -9.551.\nAnswer: -3.8204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5344, 5345, 5346, 5347?\nAnswer: 5348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 61. What are the prime factors of r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 108*m**2 + 494*m - 2162. Calculate d(-103).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**7\/840 + d**6\/360 - d**5\/120 + d**4\/24 + 65*d**3\/3 + 70. Let n(m) be the third derivative of g(m). Give n(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86287242 and 123?\nAnswer: 3537776922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(-1*sqrt(486))*-4 + -3)**2*4 + 5 + -2.\nAnswer: -32*sqrt(13)\/3 + 3991\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 7557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15*-1)\/(11\/(-5))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 7*d**2 + d + 10. Let s be a(-7). Suppose 3*f = -6, -s*l - 3*f = -2*l. Differentiate 2 - 2*t - l*t**2 + 2*t + t**2 with respect to t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28881 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74271087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1595 = -5*b, 2*b - 4*l - 49 = 613. Let g = b + -180. Calculate the remainder when g is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74823 divided by 3.\nAnswer: 24941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.05 (b) -1\/7 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from qttqommvtq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.292 and 0.3.\nAnswer: 0.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 18 + -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/30 + 74\/(-12). Let p(n) = 20*n**3 - 11*n**2 + 17*n - 3. Let m(w) = -7*w**3 + 4*w**2 - 6*w + 1. Let u = 19 + -36. Calculate h*p(q) + u*m(q).\nAnswer: -q**3 - 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12804 - -14674. Which is smaller: 7479\/4 or b?\nAnswer: 7479\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1116b + 8074?\nAnswer: -50b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010261 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -9*v + 42. Let g(q) = 9*q + 24*q - 40*q - v. Calculate g(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 13*k - 7. Calculate the remainder when 95 is divided by y(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + w**2 + 3*w. Let n(l) = -13*l**3 + 4*l**2 + 13*l + 61. Calculate 4*c(d) - n(d).\nAnswer: 5*d**3 - d - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 479987 in increasing order.\nAnswer: 1, 2, 479987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:27 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 8*j - 7. Let c = -13 - -22. Let y be z(c). Is 3 a factor of 0\/2 - (-1 - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 9. Suppose r*q - 2 = -4*q - 3*o, -2*o = 3*q - 1. Let n(p) = -15*p - 1. List the prime factors of n(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -416051?\nAnswer: 416055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q. Let l = q + 4. Suppose -l*a - 5*t + 43 = -a, 5*a = t + 25. What is the highest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 10556.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*i - 269, 3*i + 161 = 6*i - d. Find the first derivative of -40 - i - 727*t**3 + 749*t**3 + 20 wrt t.\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000097451185 to seven decimal places.\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3638843647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 6 = -8 - 34. Solve -z + 1\/4*z**b + 0 = 0 for z.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/89)*r\/(r\/(r*r**(1\/8)*r)) assuming r is positive.\nAnswer: r**(1497\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p**2. Let z(h) = -608 + 4*h + 608. Calculate z(i(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798605478 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 not equal to 524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0, -1691 in decreasing order.\nAnswer: 0, -26, -1691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22351626 divided by -2034?\nAnswer: 10989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u**3 - u**2 + 3*u. Let z(h) = -h. Let w(g) = -x(g) - 4*z(g). Let d be w(1). Sort d, -3, 2 in decreasing order.\nAnswer: 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6370199 to the nearest ten thousand.\nAnswer: -6370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173273.8 - 173273.86000072. Let f = -0.06 - b. What is f rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 - 8 - (-257 + (-2 - 1)). What is the second derivative of -12*i - 187*i**3 - 124*i + y*i**3 + 24*i wrt i?\nAnswer: 468*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 6 - 57\/2*l**2 - l. Is d(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51305 divided by -1\nAnswer: 51305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m - 20*m + 16*m - 22*m + 10*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 575 or 573?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -4, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nbbnbncbcnnn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 676 - 141. List the prime factors of z.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44866687 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160770369209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 65*j + 1. Let t be y(0). Which is smaller: 16 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012108 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - 13210313?\nAnswer: -13210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.54 or -2?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.083 + -0.083. Is 18 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*s**2 - 12*s + 2*s**2 - 110 + 65 + 55 = 0. What is s?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57323109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/11))**(3\/2)\/(o**(1\/73)\/(o*o**(-28)*o)) assuming o is positive.\nAnswer: o**(-41559\/1606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005349 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 = f. Suppose f*i = -9 - 9. Let o be 16\/3 - (-2)\/i. Solve p + 29 = -a + 6*p, 25 = -o*a + p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1011 + -1052?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-2\/3))**(5\/13)\/((l*l**1)**(-19)\/((l**(1\/3)\/l*l)\/(l**(-6)*l))) assuming l is positive.\nAnswer: l**(1700\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -857, -1992, -3139, -4304, -5493, -6712?\nAnswer: -7967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 810356 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1754531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4348486?\nAnswer: 2, 2174243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3 = -4*x - 4, 0 = 4*a - 5*x - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z + 8. Let v(o) = 4*o + 3. Suppose 0 = 3*c - 2*a - 26, -6*a + 28 = 4*c - 2*a. Let w(h) = c*v(h) - 3*g(h). Let y(m) = 2*m. What is w(y(t))?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64052556*c**2 - 4134883 wrt c?\nAnswer: -128105112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98591 and 11.\nAnswer: 1084501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 88357481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23899 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 32 (c) -20\/229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*n = 17, 5*u - 50 = 4*n + 21. Let v be 2\/(-6) + 519860\/u. Suppose f = -v - 11343. Round f to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, v: 6, n: 1}. What is prob of sequence nu?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -14*y**3 + 2*y**2 - 2*y. Let u(g) = 141*g**3 - 21*g**2 + 21*g. Let b = -62 + 64. Calculate b*u(m) + 21*i(m).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3258, -3200, -3094, -2940, -2738?\nAnswer: -2488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 57. Let c(w) = -5*w + 55. Calculate -5*c(f) + 4*o(f).\nAnswer: f - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -32.9, -11, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*z - 12, z = -2*t + 4*z - 12. Does 3 divide 6 - (-8 + 8 - (t + -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.75 - -44. Let m = s - -1.05. Which is the closest to m? (a) 5 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 20 = 4*y - 8, 7 = y + 3*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-4 + 3 + 4). Let a = j - -6. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 29. Suppose 0 = 2*s - m - 199, 96 = s + m - j. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/4, 0.3, 11\/5, -312 in ascending order.\nAnswer: -312, -35\/4, 0.3, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**2*s**3 + 25*n**2 - 2*n*s**4 - 74*n*s - 15766*s**2 - 3*s wrt s?\nAnswer: -12*n**2*s - 24*n*s**2 - 31532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 198, 100, -44, -222?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193851 + 193847 + 4*f - 68*f**2 - 4*f.\nAnswer: -68*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 19 = 29. Suppose 1 = -2*k - 39. Let q = 11 - k. Calculate the remainder when q is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9892*a**2 + 10371*a**2 - 7657*a**2 + a**6 - 1759*a**4 - a**3 wrt a.\nAnswer: 120*a**3 - 42216*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 3*a + 2*j, -180 = -4*a + 5*j + 115. What is the greatest common factor of a and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -789, -788, -787?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85121982.\nAnswer: 2, 3, 11, 47, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-5 - 7 - 2)) + -39 + 30 - 90?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 147060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -366 - -372. Suppose -5 = -g - 1. Let x(d) = d**2 + 5*d + 2. Let f be x(-5). Solve g + t = -f*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - 4.89. Let o be ((-1)\/(-2))\/(2\/8). Let l be 17\/12 - o\/3. What is the third biggest value in l, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + a**4 + a**4 + (-2*a - 5*a + 4*a)*(-20 + 20 + 11*a**3).\nAnswer: -28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2332*d**2 + 2142*d. Let h(a) = 5829*a**2 + 5349*a. Let z(v) = 5*h(v) - 12*x(v). What is the second derivative of z(g) wrt g?\nAnswer: 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/54 and 67\/312.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1201568 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -824.78 times -3\nAnswer: 2474.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaauaaaauaaaauaau. What is prob of sequence uu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p. Let r(h) = h - 1. Let l = -15 - -14. Let v(y) = 2*y**3 - y - 2. Let b be v(l). What is b*d(m) - r(m)?\nAnswer: 3*m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 384994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from iialaalaa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 0, k + 3*n + 177 = -2*k. Is 5 a factor of 5\/2*(-308)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 38*g**2 - 32*g + 25. Give d(20).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -256200 divided by 732\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = 3*m - 5*f, 0 = -4*m - 2*f + 42. Let j(z) = -552 + m*z + 21*z + 513. Calculate the remainder when j(6) is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3324 (base 9) to base 13.\nAnswer: -1168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - j - 42. Let p = 86 - 31. What is the remainder when p is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let d(m) = -63*m + 297482. Give v(d(l)).\nAnswer: 63*l - 297482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -u - 257, 4*v - 3*u - 1022 = -u. Let r be (v\/(-120) + (-46)\/345)*-4. Solve -6*c = -r*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let m(k) = -12*k. Let r(y) = -3*y. Let i(z) = 5*m(z) - 21*r(z). What is b(i(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3771*r**5 + 3591*r**3 + 27*r**2 + 11499*r - 69?\nAnswer: -226260*r**2 + 21546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8374246 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -380.94 to the nearest integer.\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 2, t: 1, j: 2}. Give prob of sequence jtj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235.5*-64.\nAnswer: 15072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3, -8\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 32 - 72 = -5*h, -5*h + 95 = -5*w. What is the greatest common divisor of h and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*s = 39*s + 43*s - 4*m + 25, m - 3*m = s + 1 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*-1 - 6\/(900\/159) and -6\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54467 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k + 1. Let l(r) = -67908*r. Give g(l(x)).\nAnswer: -679080*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 406 (c) -0.1 (d) 0.5 (e) 1\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1450.\nAnswer: -4350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**4 + l**4 + 4*l**5 - 5*l**5 + (-2 + 2 + 2*l)*(5 - l**4 - 5) + 5*l**4 - l**5 - 5*l**4.\nAnswer: -4*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 27970?\nAnswer: -27975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 541554 - -13145?\nAnswer: 555143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 18*i = -72. Suppose 0 = -5*n + i*g + 10, 4*n = 5*n - 3*g - 2. Let c = 2 + -3. Put n, 6, c in ascending order.\nAnswer: c, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 7*n**2 + 10*n + 2. What is f(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3487494525.\nAnswer: 3, 5, 46499927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 f when four letters picked without replacement from {l: 7, f: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11386719735318 less than 0.04?\nAnswer: 11386719735318.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391121 is divided by 35542.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 726141 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus 0.0875217?\nAnswer: 8.0875217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (-3 - -9) - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*n - 550*n + 283*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*z - 719238 - 16464 = 0, 0 = z + 4. Let g = 200355 + o. What is g rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -6, -33, -82, -159, -270, -421, -618?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -303, -1473, -3417, -6135, -9627, -13893?\n\"Answer: -387*b**2 - 9*b + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9526080*x**3 - 85*x**2 - 282*x + 168?\nAnswer: 57156480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 3. Let v be p(0). Let h(n) be the first derivative of 1\/3*n**v + n - n**2 - 1. Determine h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1298.6?\nAnswer: 1298.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.9216 + -3.97. Let a = t + 0.0484. Sort -2, 0.05, a in decreasing order.\nAnswer: 0.05, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g - 4*d = -48, 5*g - 5*d - 75 = 0. Let u(o) = 1 + o - 2*o + 6*o + 6. What is the units digit of u(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5119100 to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 14. Let z = l + -23. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3240 - -3239.8489. Sort -0.2, o, -1.\nAnswer: -1, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 52 - 10*d**2)*(-2 + 3*d + 2)*(3 - 31 - 2).\nAnswer: 900*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/(3\/(-4)). Let y(w) = 8*w - 18*w + 2*w**2 + 2*w + 7*w - 1 + 2*w**3. Let r be y(u). Are -1\/4 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*t + 5, 4*t = -6*l + 5*l - 1. Suppose -3*f + 6 = h, 2 = f + l*h - 2*h. Solve f*s = 5*d - 3, -5*d + 2*d = s + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 27378*m - 82133\/3.\nAnswer: -(m - 82133)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + -100110010100010010101000?\nAnswer: -100110010100010010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -56. Suppose 36 = -s*w + 228. Calculate the lowest common multiple of 36 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, j: 1, g: 7, m: 1}. Give prob of picking 1 g and 1 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.7 - 18. Let l(o) = -4*o**2 - 1673*o - 1674. Let h be l(-1). What is the closest to x in -12, h, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3850 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19836 is divided by 9910?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140744 is divided by 70363.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czococcwocccq. What is prob of sequence wqo?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024035 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21364, 171501, 579412, 1374109, 2684604, 4639909, 7369036?\nAnswer: 11000997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/90 + 2*a**4\/27 - a**3\/9 + 10*a. Factor t(u).\nAnswer: -2*u*(u - 3)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1370)\/(-168) - (1352\/(-546))\/26 - 7.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95701\/15 - 6375. Let a = 64 - 66. Find the common denominator of a*(-49)\/(-756)*10\/(-14) and s.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 10. Let r be g(7). Let a be (-4 + r)\/((-8)\/(-2)). Suppose -v - 4*k + 47 = 0, a = 3*v - 0*k + 4*k - 101. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(37835\/(-47)))\/(((-3)\/12)\/((-8)\/16))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128015 is divided by 3200?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81251222 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: Calculate prob of sequence tss when three letters picked without replacement from {v: 1, s: 3, h: 1, t: 7, q: 4}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isgq when four letters picked without replacement from {s: 3, p: 2, g: 4, q: 3, i: 7}?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 - 1100011110?\nAnswer: -1101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -102. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1056375 and 135.\nAnswer: 1056375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n + 60*n - 688 - 596 = 0. What is the least common multiple of n and 4143?\nAnswer: 16572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.1079 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.073 + -0.443. Let r = 0.84 - 0.27. Let x = i + r. Which is the nearest to -0.1? (a) -1\/4 (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 3. Suppose 0 = 3*x + 5*c + 45, 3 - 2 = -x + 3*c. Determine u(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 9. Let z be j(7). Suppose 4*a = -3*h + 24, h - a + 7 = z*h. Suppose 0 = 4*q - 6*q + h. Solve q*w - 4 = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 22*a**2 + 80*a - 1301. What is w(25)?\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4127*v + 163*v**2 + 4127*v.\nAnswer: 163*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39745 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -o + 16. Suppose -2944 = -11*i - 777. Suppose 12*x + 3*d = 15*x - 129, 0 = -5*x - 4*d + i. Calculate the remainder when x is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*-1*sqrt(102) + sqrt(102) + -2*sqrt(102)*6)\/((sqrt(2178) + -2*sqrt(2178))\/(sqrt(6)\/(sqrt(2) + sqrt(32)))))**2.\nAnswer: -96*sqrt(17)\/55 + 31577\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149 - -192. Suppose -2*b - 3*b = -1505. What is the highest common divisor of b and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -506 in -33, 1.2, -4, -2\/7?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Suppose -4*v + 16 = 2*r - k*v, -34 = -2*r + 4*v. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -108. Which is the third smallest value? (a) 0 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 566 - 352. Suppose 4*a = 6*a - c. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*y = -109*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/5 and 12\/28424185.\nAnswer: 28424185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 9*k - 5. Let m be r(8). Let q be m\/(-2)*(-44)\/6. Suppose z + q = 4*d, -z - z - 13 = d. Do -7 and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24862.12862+403.44\nAnswer: -24458.68862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.616 and -3975863.\nAnswer: -3975867.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 14. Let v(n) = -n + 5. Let o(y) = y**2 - 7*y + 8. Let q = -8 - -7. Let a(f) = -7*f. Let c be a(q). Let h be o(c). Determine h*v(t) + 3*j(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -37*x - 951. Let j be l(-26). Solve 30 = -j*d - 36 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 60 + 145. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17\/160 + -109079\/1120. Let u = h + 97. Let t = -39.5 - -40. Sort u, -5, t.\nAnswer: -5, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 4, t: 7, v: 2, w: 1, g: 3}. What is prob of sequence vwg?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374333791?\nAnswer: 13, 43, 669649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 11, -6 in descending order.\nAnswer: 50, 11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 12 + 24. Calculate the common denominator of g\/(-63)*(308\/(-6))\/11 and 151\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 1\/30*a**5 + 0*a + 1\/6*a**3 + 3*a**2 - 1\/60*a**6 + 0 - 1\/70*a**7 + 1\/8*a**4 - 1\/336*a**8. What is m in x(m) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 4. Suppose -2*n - 2*n = -20. Let l be u(n). Let b(x) = 1440001*x + 1. Let p be b(l). Round p to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.7 + 0.1. Let i = -2.8 - 8.2. Let t = u - i. Round t to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - m = -26, 0 = -3*d + 3*m + 2 - 8. Let s(b) be the second derivative of -b**2\/2 - 87*b + 4. Let j(g) = g - 1. Give d*j(f) + 5*s(f).\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - h**2)*(-3*h - 2*h + 3*h) - h**3 - 3*h + 3*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.107 (b) 0.02 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24385140 a multiple of 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-12) + 91\/(-52)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, -4, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 210384137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (97 - (3 + 0)) + 2 + 1. Let n = u - -196. Suppose -5*t - 2*p = -n, -t + 61 = -p - p. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -58. Put 2, 0, 5, g in increasing order.\nAnswer: g, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 1345960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -35*q + 774. Let h be m(22). Let l(n) = -n + 4. Give l(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76980 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*(2\/16)\/((-18)\/72).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 20 = 3*v, -v = 2*m - 5*m - 15. Suppose 6*x + 63 + 27 = v. Let k be (-54)\/x*(-1750)\/(-15). What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 17, -3, 3, 0 in decreasing order.\nAnswer: 17, 3, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85473064 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 112 = v. Let u = v - 30. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let h(z) = -717927081*z**2. Calculate h(d(m)).\nAnswer: -717927081*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82274966 is divided by 205?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7481426*q**2 + 212*q**3 - 7481426*q**2.\nAnswer: 212*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6180 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-4) + (-3 - -4). Let w(u) = u**2 - 3*u - 7. Let f be w(i). Suppose -4 = -4*l + 4. Solve -f*c = l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b2697 (base 13) in base 7?\nAnswer: 2501036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*n - 116*n - 33930 = -80*n + 118*n for n.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39357696430 and 329.\nAnswer: -39357696101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/136 - 2\/(-17). Determine w, given that y*w**2 + 1\/3*w**4 + 1\/3*w**5 + 0*w**3 + 0*w + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**2 + 30*v. Let a(q) = q. Suppose 405*i - 2 = 407*i. Calculate i*g(x) + 30*a(x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124605.\nAnswer: 5, 7, 60703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/3 - (-1)\/3. Suppose -v = -3*v - f. Let t be (8\/6)\/(v\/(-6)). Solve -z = t*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2 = -2*y - 2*d, -4*y + 2*d = 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 128*x**2 - 355*x - 2464. Calculate b(125).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzkezkaggzgkkkezzgk. What is prob of sequence ae?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1.04. Let s = -0.14 - q. Which is the nearest to 1\/3? (a) 1 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:11 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -325, -661, -1001, -1345?\n\"Answer: -2*l**2 - 330*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27136231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 37 + 14*h**2 - 130.\nAnswer: 14*h**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.4, 0.16, 1.2, -5 in descending order.\nAnswer: 1.2, 0.16, -0.4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**5\/10 - 49*q**4\/12 + 1793*q**3\/6 + 4*q - 254. What is the second derivative of n(i) wrt i?\nAnswer: 12*i - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13274835.9 + 0.1995.\nAnswer: -13274835.7005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -34*d**2 - 82*d + 4. Let z be w(-2). Solve z = -36*g - 76 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*i + 95*i - 33*i**3 + 59*i - 211*i.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*g - g**2 + 0*g**2 + 45*g - g**3 - 7*g**3 to the form j*g**3 + t*g**2 + a + y*g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -519 rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115446 - 1?\nAnswer: -115447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/151, 2 in descending order.\nAnswer: 2, 0.3, -2\/151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 192732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 - (5 - 4))) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**5*f - 7*c**4*f - 5*c**3 + 2*c**2 + 2*c*f - 5*f wrt c.\nAnswer: 180*c**2*f - 168*c*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121614*r**2 - 252417 wrt r?\nAnswer: -243228*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 488202033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1288? (a) 5 (b) 1\/2 (c) -167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-4)\/((-80)\/15))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by -37.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.2 + 0.2. Which is the closest to p? (a) 4\/7 (b) 3\/5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:46 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 12*p - 15. Let c = 4 - 0. Suppose v - 4*l = 22, -c*l - 35 - 7 = -3*v. What is the remainder when 9 is divided by h(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -1129068\nAnswer: -451627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7033556?\nAnswer: 2, 1758389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 47 = -3*f, 0 - 22 = -3*f - 4*y. Let v = f - -32. Calculate the greatest common factor of 23 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66826536 divided by 73.\nAnswer: -915432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -2\/7, -28\/85503, -2\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -60\/31657?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*u - 2*z - 1, 5*u - 2*z - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33 + 3*(-11 + 12). Let q = -18 + 30. Calculate the greatest common divisor of f and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10216832\/115 at most as big as -88842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 - 4*k**2 - 6*k - 1. What is m(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 15*c + 8. Give m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 3. Let x(z) = 8 + 4*z - 6*z**2 - 7*z + 0*z + 0*z + 2*z. Give -4*x(m) - 11*y(m).\nAnswer: 2*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203793*f**2 - 206998*f wrt f.\nAnswer: -407586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 6. Let v be o(4). Let f be (-2)\/(-4)*v - -2. Suppose f*p + r + 4 = 11, -4*p + 22 = -5*r. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-2*(-5)\/(-180)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -493490*l. Let b(x) = 6*x**2 - 6*x. What is b(m(u))?\nAnswer: 1461194280600*u**2 + 2960940*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8238 + -10?\nAnswer: -8248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnnnnxnnxxxxn. What is prob of picking 2 n and 2 x?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {q: 3, l: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6626 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3554*d + 568642. What is r(160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736)*-2)*-2*6.\nAnswer: 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6391998562?\nAnswer: 2, 31, 103096751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.41 - 0.41. Which is smaller: j or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164404 divided by -41101\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/74 and -9*(-4)\/(-48) - (-54)\/(-32).\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5632 and 11.\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/827?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w - 47*w**2 + 55*w.\nAnswer: -47*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 13*h + 371. What is the smallest common multiple of 242 and x(-15)?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 72 = 18*s. Suppose 2*t - 28 + s = 0. Suppose -t*f - 113 = -2*v - 2*f, 3*v + 5*f = 179. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -235, -532, -1043, -1840, -2995, -4580, -6667?\nAnswer: -9328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*j + 17 = 37, r + j - 2 = 0. Solve -5*d + 10 = 0, r*d + 4 = -3*z + 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(7\/147*-2)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20101000021010 (base 3) in base 4?\nAnswer: -30322211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 5:26 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60.6 and -804?\nAnswer: 48722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - -5. Suppose -9 = 4*k - k. What are the prime factors of (h\/(-26))\/(k\/46)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s + 14. Suppose 0 = 8*z - 14 - 2. Let a be ((-3)\/z - -1)*(s - -1). Let r(m) = 6*m + 2. Let o(h) = -5*h - 1. Determine a*o(t) - 3*r(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 2*w + 4. Let j be r(-3). Suppose -4*x + 14 = 3*i, -3*x + j = -5. Solve -i = -2*t + 5*y, -3 = -4*t - 3*y - 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:24 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from meaanedn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 9*f**3 - 3*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(6\/19)\/v)**(-2\/61))**(-2\/139))**20 assuming v is positive.\nAnswer: v**(2000\/161101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 43.188.\nAnswer: 39.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 191*l - 176*l - 21660. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k. Suppose 2*z = -t + 2, 4*z + t + 45 = 47. Let u(h) be the third derivative of 1\/20*h**5 + z + 0*h + 0*h**3 + 0*h**4 - 3*h**2. Give m(u(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0503 - 1.3823. Let b = l + -0.168. What is b rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141418652827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2334*g + 391*g - 68005 = 0 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4, 5, -136 in decreasing order.\nAnswer: 5, 4, 1, 0, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -625*w - 28117. Give n(-45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -884*u**5\/5 + 359*u**4\/12 + 96*u + 2. Find the third derivative of t(v) wrt v.\nAnswer: -21216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyty when four letters picked without replacement from cycyyycycyycyccytyyc?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360250 and 7000?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*t + 125, -t + 95 = 4*t + 4*i. Let v = -2 + 70. What is the remainder when v is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 18050?\nAnswer: 72200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80960?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2 - 13*f**2 + 51*f**3 - 72*f + f**2 + 4*f**2 + 21*f**3 + 2*f**4.\nAnswer: 2*f*(f - 1)*(f + 1)*(f + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38464162 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/780 + 7*a**5\/390 - 5*a**4\/52 + 3*a**3\/13 + 121*a**2. Factor x(j).\nAnswer: -2*(j - 3)**2*(j - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -237653 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/39*(-30)\/(-225).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11790 and 7860.\nAnswer: 23580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/5 - 452*l**3\/5 + 25976*l**2\/5 - 10032*l = 0.\nAnswer: 0, 2, 110, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 155*k + 4807 = 26*k. Calculate the highest common factor of 943 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -42*d**3 - 689*d**2 - 680*d + 11. Let m(q) = 8*q**3 + 138*q**2 + 136*q - 2. Let x(i) = 2*a(i) + 11*m(i). Determine r, given that x(r) = 0.\nAnswer: -34, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -7765.\nAnswer: -1\/7765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-370)\/(-1480)*((-432)\/12)\/9*1\/(-166)?\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/4)\/(a\/a**(-3))*a**(1\/4)\/(a*(a*a**1*a*a)\/a)*(a*a**(3\/4)*a*a\/((a**(1\/5)*a*a)\/a))**(12\/7) assuming a is positive.\nAnswer: a**(-219\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:53 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287018.\nAnswer: 2, 143509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (4 + -398)*39. Let h = d - 998883\/65. Let f = 6904\/2145 + h. Calculate the common denominator of 16\/21 and f.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 4. Suppose c - 173 = -2*v, -3*c - 351 = -t*v - 4*c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -18*u**3\/5 + 79069524*u**2\/5 - 105426008*u\/5 + 7028400 = 0.\nAnswer: 2\/3, 4392750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/9, -8.4, -3, -1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209217 is divided by 1090?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/9)*z)\/((z\/z**(-2\/31))\/z) assuming z is positive.\nAnswer: z**(509\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - n + 6, 3*c + 2*n = 8*c + 12. Let v(a) = 2*a - 7. Let p be v(5). Let f be (5 - (4 - -4)) + -2. Sort -3, p, c, f.\nAnswer: f, -3, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttqtqqqqqttmqqqqq. Give prob of picking 3 q.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -44, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 32*o**2 + 14*o**2 - 16*o**2.\nAnswer: -34*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.551 (b) 157\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/135 + 78262\/4905.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -816*j - 751.\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b2b (base 13) in base 5?\nAnswer: -2021104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h + 4. Let v = 26 - 27. Let d(t) = t**3 - 2*t**2. Let g be d(v). Give f(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1629*h - 1692*h = 0. Let t(g) be the second derivative of -18*g + h*g**3 - 47\/2*g**2 - 1\/3*g**4 + 0. What is the first derivative of t(b) wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*k + 12, 6 = s - 4*k + 8*k. Factor 2*x**2 - x - 2*x**2 - x**s.\nAnswer: -x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20.3 (b) -1 (c) 1602\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 + c**2)*(2*c**3 + 4*c**2 - 4*c**2) - c + c + c**5.\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 42*w**2 + 160*w - 472\/3.\nAnswer: 2*(w - 59)*(w - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -36, -81, -1\/52, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p**2 - 370 + 370. Let g(z) = 13*z**2 - 44*z + 46*z + 16*z**2. What is g(a(q))?\nAnswer: 1421*q**4 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2436)\/(-913) + (-5796)\/(-5313). Is k <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 10.52, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose -314*l - 5*d = -313*l - 33, -3*d + 17 = 2*l. Sort b, -5, l in descending order.\nAnswer: b, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-5)\/(-50)). Suppose -n*f + 11 = -14. Let j be (4\/(-20)*0)\/2. Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**50*v\/v**(2\/3)*v**0\/v*((v*v**(-6))\/(((v*(v**(1\/13)*v)\/v*v)\/v)\/v))**(-3) assuming v is positive.\nAnswer: v**(-1382\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 4. Let y be p(9). Suppose -y*i - 3 = 3*d, 4*d = -d + 4*i + 32. Suppose d*u = 3*s + 135, -u + 4*u - 70 = -4*s. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 1 = -3*d + 4*p, -d + 5*p = -13. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 15 = t. What is the highest common divisor of t and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -29\/20*x**5 + 83*x + 0 + 0*x**2 - 1\/12*x**4 - 14\/3*x**3. What is the second derivative of o(n) wrt n?\nAnswer: -174*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p + 2*n + 7, -3*n + 14 = 4*p. Let k(u) = 4 - 4*u - 6 + p + 5*u**2. Let x be k(2). Solve -o - x = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 136 = 5*h. Suppose 5*d - 6 + 1 = 0. Let p be (-3 + d)\/2*-15. Calculate the highest common factor of p and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21*x - 67. List the prime factors of f(-17).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2\/5*m**4 - 336\/5*m**2 + 1088\/5*m - 256 + 44\/5*m**3 = 0.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4074 + -911. Suppose -6*k - 103 = -h. Suppose 581 + 165 = 3*n - 5*l, -2*n = 3*l - k. Calculate the greatest common divisor of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4)\/(135\/(-54))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1662 - 1.15. What is z rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430675 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (326 + -167 - 147) + 65 + -2 + (4 - 2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/10 - (-80)\/(20400\/(-1071)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4145456321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -1 - (59\/(-531))\/(1\/(-24)). What is the fourth smallest value in n, -0.19, -0.08, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 + 29850*n**4 + 111273288*n**3 - 780017816*n**2 + 1337787744*n = 0.\nAnswer: -7466, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*k + y, 0 = 5*k - y + 3*y + 41. Let r be 9*(2 + 15\/k). What is the highest common divisor of r and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021869 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(11\/(-22)*-1*4\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - 18*d + 48. Let h be o(11). Let r = -504 + h. Calculate the least common multiple of 32 and r.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107\/30 + 18\/5. Let u(m) be the third derivative of 0 + 0*m**4 - 3*m**2 + 0*m**3 + i*m**5 + 0*m. Let p(x) = -2*x. What is u(p(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604*u + 604*u - 677696*u**3 + 677694*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 4003045000 rounded to the nearest 1000000?\nAnswer: 4003000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*y + 17, -y - 4*o + 24 = -0*y. Suppose -2*u = 3*w - 361, -4*w + 8*u - 3*u = -466. Let l = w - 355\/3. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - 0\/(-2))*(-240 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -34. Let g = j - 13. Let i = -20.009 + g. What is i rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 - 4 = 0. Let s be (-1)\/2*2 - b. Solve 6*y - y - s*a = 1, -y - 2*a + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 q when three letters picked without replacement from {a: 4, q: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y**4 - 2*y**4 + 8*y**4)*(-y + 4*y - y) + (2*y**4 - 3*y**2 + 3*y**2)*(-5 + 5 + 2)*(-2*y + 3 - 3).\nAnswer: 48*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*j + 142, j + 723 = 5*m + 4*j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 - 73*x**2 - 49*x - 8. Let s be p(25). Which is the closest to -7\/3? (a) -2\/21 (b) s (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1846100 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*d**2 + 15\/4*d + 9\/4 - 3\/4*d**3.\nAnswer: -3*(d - 3)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 - 1199223*r\/2 - 70775043.\nAnswer: 3*(r - 399859)*(r + 118)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h = -m - 11, 2*m = 5*h - 12. Let z = h + 2. Suppose z*b + 9094 = 61094. What is b rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 30. Let x = 2 + 2. Suppose x = p + p. Calculate the least common multiple of v(-11) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*m - 41008 = -41658 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22011313 (base 4) in base 3?\nAnswer: 2002200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + d - 10 = 0, 5*d - 9 = -2*n - 40 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1109*p**5 - 457*p**2 wrt p.\nAnswer: -66540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167928 to the power of 1\/2, to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 0*m + 0*m - 7901623391*m**2 + 7901623390*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91552? (a) -1 (b) 15 (c) -6\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75314 is divided by 14797?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)*(2 - 2). Let k be l*((-7)\/(-2))\/7. Solve k*b + 3*b + 17 = a, 0 = 3*a - 4*b - 26 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2657 + 9271*g - 1300 - 1357 to z + o*g and give o.\nAnswer: 9271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-129)\/2)\/(33\/(-22)). Sort -5, 5, n, -1 in descending order.\nAnswer: n, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-285)\/114*12\/(-10). Solve -4 = l*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -411*o**4 - 22*o**3\/3 + 2*o + 212. Find the third derivative of l(i) wrt i.\nAnswer: -9864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i + 85 - 10*i**3 - 85 wrt i?\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 58*m**2 - 35\/12*m**5 + 0 + 0*m - 55\/8*m**4 + 5\/3*m**3. Factor i(l).\nAnswer: -5*(l + 1)*(35*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + n**2 - n - 1. Suppose 0 = 5*q - l - l - 41, -2*l = 6. Let j(o) = -3*o + 0 - q + 0 + 4 - 4*o**3 + o**2. Give j(d) - 3*z(d).\nAnswer: -d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 227\/((-12939)\/4750) + 67\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 11*m + 2. Let c be a(-6). Let s(u) = -u**3 + 7*u**2 + 2*u - 4. Let w be s(7). Solve w = -3*q + c*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8570, 1040, -4.\nAnswer: -4, 5, 1040, 8570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1320 divided by -20\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 505630 divided by 101126\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79999 + 80014. Let u be (1 + 11)*(-2)\/(-3). Solve -u*l + a = -11*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80582946.8 rounded to the nearest ten thousand?\nAnswer: -80580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -247*o**3 - o**2 + 61*o + 63. Give m(-1).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-4))\/3*2. Let h(r) = r**2 + 4*r + 4. Let k be h(4). Let u be (1*g)\/((-4)\/k). What is the highest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 6, s: 1, g: 2, c: 5}. What is prob of sequence sccv?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 2, a: 4, s: 2}. What is prob of sequence tta?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 911, 907, 903, 899?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = -5*n - 7, -3*s + 2 = 4*n. Solve 15*c = -s - 39 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let r be 9*y*3\/(-9). Let b(t) = -t - 6. Determine b(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 10*m + 608 - 172.\nAnswer: 2*m + 436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 1)\/((78\/(-108078))\/(-13)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419\/((-110)\/44 - (-34)\/12).\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-3))\/(25\/(-45)*9\/(-15))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 - 5*v - 7. Let r(h) = -10*h**2 + 11*h + 13. Let g(k) = k**2 - k - 1. Let o(d) = 5*g(d) + r(d). Give 5*o(m) + 6*y(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164.56 + 164.56. Which is the second smallest value? (a) y (b) 3\/5 (c) -0.5 (d) -136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 30ba8?\nAnswer: -30ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/210 and -29\/233058.\nAnswer: 1165290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -276.4 - -276.3998867. What is q rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -265 - -674. Suppose -z = -m + 10. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.25. Let z = -0.35 - c. What is the second smallest value in 1, z, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14040 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61587367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 6) to base 14.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 10177638?\nAnswer: 20355276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose 0 = -o + 5*h + 26, 0 = 5*o + n*h + 5. Let x be o + 0 - (-4)\/(-8). Which is the third biggest value? (a) 0 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/27*12\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13*r**2. Let w(s) = -3*s**2 - 5*s + 5. Let c(j) = -j**2 - j + 1. Let l(i) = -5*c(i) + w(i). Calculate l(q(h)).\nAnswer: 338*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -63. Find the second derivative of -k*y - 14*y**4 - 18*y + 15*y wrt y.\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 5*x + (-2*x + 0*x + x)*(3 - 3 + 2) - 2*x + 4*x - x + (5 - 4 + 0)*(-7*x - 3*x + 0*x) - 1 + 1 + x to the form f*x + q and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11237 + 11236 - 5*r**3 - r**3 + 3105*r**2 + 4*r**3 + r**3.\nAnswer: -r**3 + 3105*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 216 - -11?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 96*-40\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1205*d - 11945. Suppose -5*j - 7 + 22 = 0. Let z(r) = 9*r. Calculate the remainder when v(10) is divided by z(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18*(7\/((-63)\/(-6)))\/1. Let m = z + 57. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 4*z + 2. Let d be f(-3). Let s = -0.8 + 1. Let y = 0.5 - s. What is the nearest to 1 in d, y, -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2242 + -623. Suppose -4*a = -905 - p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/(11\/5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 8:18 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvrvrvfsrrrwkvr. Give prob of sequence svwf.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 9745766\nAnswer: 3898306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.239905069 to three decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 9 - 4 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 371135 - 84208. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403520 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(432) + (-1 + sqrt(432) - sqrt(432))*5))**2.\nAnswer: -4320*sqrt(3) + 16452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 374 + -355 + 498\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*g + 2, 2*r - 3*g = 6 + 13. Let j be (-2)\/(-2 + (-6)\/(-4)). Suppose -x + r = j. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32785 - -34763. What is the highest common factor of k and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2548148*v + 603586.\nAnswer: 2548148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3130*s - 24 = 2*o - 3126*s, 18 = -6*s - 0*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-4 + (-238)\/17).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/4, -2\/5, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5 - 4 - 3 - a + 3. Give i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 14*b + 15. Let d be o(21). Let p = 134 + d. Factor -35*w**p + 2576*w**3 + 8*w - 2572*w**3 + 15*w + 8.\nAnswer: (w - 8)*(w - 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313981620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -980\/11 - -89. Let n = 0.2 - 0.4. Suppose 0 = -25*q - 66 + 166. What is the second smallest value in q, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56304953119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 + 627*d**2 - 3888*d + 3264 = 0. What is d?\nAnswer: -17, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -1\/3*u**3 + 1\/12*u**4 + 0 + 4*u**2 + 0*u. What is x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 142*y**3 + 6*y - 5. Give a(1).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = 4*v - 738. Suppose 46*o - 1155 = -5*i + 50*o, 10 = -2*o. Suppose 5*q = i + v. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + a**3 + 0*a**3 + 270*a**2 - 261*a**2.\nAnswer: -a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 j when three letters picked without replacement from {f: 2, x: 1, j: 1, s: 1, i: 2, r: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 36 - 0. Let y be (26 - -1) + r\/3. Solve -4*n - y = -5*z + z, z = 4*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12870566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*((6 - 10) + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 799 - 800. Let v = 0 - -0.02. Let h = -0.04 + v. What is the second biggest value in -3, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 1.050607021645.\nAnswer: 4.050607021645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14592760 divided by 109720\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**9\/3024 + q**6\/360 + q**3\/2 + q**2. Let v(g) be the first derivative of l(g). What is the third derivative of v(o) wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/24 + 11*i**5\/12 + 25*i**4\/8 - 45*i**3\/2 - 1385*i**2. Let g(o) = 0. Calculate o.\nAnswer: -9, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 3. Let y be z(-5). Differentiate 11*p**y - 11*p**2 + 6*p**2 + 3 + 1 with respect to p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 63264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 10*j**2 - 10*j. Let h(o) = -o**2 + o. Let w = 21 - 29. Let b(z) = -z - 6. Let r be b(-5). Give r*q(n) + w*h(n).\nAnswer: 2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.696 - 0.726. Which is the closest to 0.1? (a) -3 (b) 1\/5 (c) 3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7 = -4*g - 1, 0 = -4*o + 3*g + 9. Let w be (24\/4)\/(-2) + o. Suppose -5*m + 197 - 9 = -2*c, -3*m + 3*c + 111 = w. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19838280383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3920, -4\/3, -2, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4209, 4587, 5165, 5955, 6969?\nAnswer: 8219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 27028.505 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 35*q + 300 = 0. What is q?\nAnswer: -12, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = -2*s + 13, 4*u = -2*s - 2. Suppose 13*f + 1566 = 22*f. Suppose -4*i + f = -y + 3*y, -s*i = y - 85. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 22. Suppose 5*m - 65 = -0*m. Let i = m - r. Sort i, 1, -3\/4 in increasing order.\nAnswer: i, -3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v + v + 3*v - 2*v + 4*v + (-2*v + 0*v + 4*v)*(-3 - 4 + 6) + 17 + 19*v - 17 - 2 - v + 2.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511 (base 9) to base 2.\nAnswer: 110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - 122. Let w(t) = 3*t**2. Suppose g - 2*h = -3*g - 14, -5*h = -25. Let r be w(g). Solve -2*d + 13 = f*c, -2*c + 7 = r*d - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555576 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 7*s**2 - 4*s + 11. Let k be q(-8). Let x = 26 + k. Suppose 45 = 13*d + 6. Solve 0 = -d*i - x + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2484 is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 290\/11 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 844 and 652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 14 + 1 + 7)*(2*g + 2 - g + 0*g).\nAnswer: -2*g**2 + 18*g + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-950)*-19*155\/(-60078)\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*z**2 + z**2 + 320 - 30*z + 4*z**2 + 5*z - 2*z**2 wrt z?\nAnswer: 2*z - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3292, -6589, -9886, -13183, -16480?\nAnswer: -19777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/(4\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9785 rounded to one decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, b: 11, h: 2, n: 1, f: 1}. Give prob of picking 1 h, 1 f, and 1 n.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.25, 403, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(-1*(-2)\/(-8)). Let c(n) be the third derivative of -n**4\/12 + 5*n**3\/6 - 2*n**2. Let d be c(-2). Sort j, 0.2, d in ascending order.\nAnswer: j, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31942 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u - 7. Let z(o) = -7*o - 4. Let l(f) = -4*t(f) + 7*z(f). Let g(a) = 2*a**2. Calculate g(l(j)).\nAnswer: 242*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/247*130\/(-120)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*z + 21 = 5*x, -x - 4*z = 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-7) - 8\/28. Is 5218*(1\/i)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/10 in 4, -3064\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**3 + 9*w**2 + 5*w + 9. Let l(y) be the first derivative of -y**4\/4 + 2*y**3\/3 + y**2\/2 + 2*y - 23. Determine 4*d(q) - 18*l(q).\nAnswer: -2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**4\/24 + 23*k**3\/6 - 9*k**2 + 3*k. Let j be o(19). Solve -2*u = -3*v - 17, v - 4*u + 15 = -j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169600 and 157675.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**2*u**4 + 2061*l**2*u**3 + 881*l**2*u + l - 4*u**2 wrt u?\nAnswer: 72*l**2*u + 12366*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 55 = -5*o. Suppose 26 = 4*l - 2*k, k - o = -l + 3*k. Solve 3*x - 5*v - 5 = 0, l = -x - 3*v + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30532 - -312?\nAnswer: 31044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.0615 - 2058.9385. What is the second smallest value in y, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Solve 0 = -3*r + g*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = 2. Let x be d*(1 - 1)*1. Suppose s - 5*s = x. Which is bigger: s or 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7281, -10146, -13011, -15876?\n\"Answer: -2865*b - 4416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 36 = -6. Let j be (1*3)\/((-3)\/2). Let w(m) = -3*m**3 - 3*m**2 + 2. Let o be w(j). What is the greatest common divisor of u and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -45*x + 230. Let v be l(5). Which is the fourth biggest value? (a) v (b) 1 (c) -2\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {w: 1, p: 1, t: 1, u: 4, v: 6, l: 2}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 238 = 3*f, 9 = -5*t - 16. What are the prime factors of f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1285005042 and -6?\nAnswer: 1285005036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-63))\/((-2)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1144*h**2 - 1154*h**2 + 2299*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 9\/2)*124. Let a = s - -673. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -19*k**2 - 2*k + 21. Let h be g(11). What is h rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1649709825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, -116, -567, -1198, -2009?\nAnswer: -3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 15591 and 15591 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 2*r**4 + 0*r**3 + 4*r**4 - 4*r**3 + 5*r**3 - 2*r to u*r**3 + b*r**2 + l*r + q*r**4 + v and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 7 + 0 - -27. Let y = -25 + w. Solve -t + 4*u = -0*u - 9, -30 = 5*t + y*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1425 = s, -1814 + 383 = -2*w + 5*s. What is the highest common factor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/4 - 1)\/(357\/(-136)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -557349, -1114699, -1672049, -2229399?\n\"Answer: -557350*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79691.73 months in centuries?\nAnswer: 66.409775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1137, 1146, 1169, 1212, 1281, 1382, 1521, 1704?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*w**3\/13 - 554*w**2\/13 + 374*w\/13 + 140 = 0. What is w?\nAnswer: -13, -35\/22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.1, -4, 1\/23, -1 in ascending order.\nAnswer: -4, -1, -0.1, 1\/23, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (-40 - (-3 + -63))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152\/219 - -2\/73. Which is the closest to 1.79? (a) 4 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141620.84 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2*h**2 - h + 1. Let t be a(-2). Suppose -9*d = -517 + 256. Differentiate -1 - 3 + 38*w**3 - d*w**t wrt w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-7)\/(-28) - 5\/4). Suppose 5*z - 24 = 4*g, z - 2 + 0 = -f*g. Let w(t) = -t + 10. Let b be w(z). What is the highest common factor of b and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1111 - 418. What is the common denominator of 6\/27 + 737\/i and -95\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqbq when four letters picked without replacement from {q: 3, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -496575\/11 + 45331. Let z = 188 - i. Which is the second biggest value? (a) 9 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 2 + 2 + (-3*q + 2*q - q)*(-6 + 0 + 2) as x + f*q and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 341 + -456 + -3 + -4 + 1 + (-1 - -8).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111916 minus 15?\nAnswer: 111901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077094289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 124\/835?\nAnswer: 124\/835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 + 6*r**2 - 4*r**2)*(-r**2 + 2*r**2 + 0*r**2) + r**4 - 3*r**4 - 6*r**4 in the form m + n*r + y*r**4 + l*r**3 + x*r**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -8555, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.097 and 3?\nAnswer: 3.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 11.3. Let x = -62 + 66. Suppose d + 3*u - 1 = 5*u, 3*d + u + x = 0. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-8)\/2)*(-57726)\/1069?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:13 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q**2. Let t(s) = -59 - s**2 + 59. What is p(t(x))?\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1743 = -3*c - 312, 2*c = -5*q + 7116. Suppose 527 = 4*s - 2*w - 1343, 5*w - q = -3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -11*j**2\/2 + 67*j - 651. Give k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/11428 and 59\/20.\nAnswer: 57140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*y + 5*j, -183*y - 5 = -187*y - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6912 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310151, 310127, 310075, 309983, 309839, 309631, 309347, 308975?\nAnswer: 308503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from fjfoafooffaofga.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**5 - 1859*i**2 + 11368*i wrt i.\nAnswer: -160*i**3 - 3718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4039988\nAnswer: 3\/4039988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:26 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j + 3*y + 104, 2*y = 0. Let x = j + 149. Suppose 0*z = 5*z - x. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -57563204?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3083, -12843, -29303, -52463, -82323, -118883, -162143?\n\"Answer: -3350*v**2 + 290*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - 2*z**2 - 2*z - 1. Let y(c) = -3*c**3 - c + 1. Let m be y(1). Let u be m\/((-9)\/(-3)) - 0. Let i be k(u). Let b(j) = -j + 3. Calculate b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3116007 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:01 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmhmahhhhmgh. What is prob of sequence agdh?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 955500 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 6*d = 0. Suppose 11*l - 137 - 6 = d. Find the third derivative of 6*c**4 + 17*c**2 + 5*c**4 - l*c**4 + 7*c**4 wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/7, 2791, 4, -0.06, 0.03?\nAnswer: 2791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 61446.\nAnswer: 1\/61446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 171 + 166 = 5*f, -3*f + 4*y = 38 - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - -2400143?\nAnswer: 2400314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5704)\/(-5106)*(1\/(-16) + 0) and 83\/12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1)\/(69\/46*-13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 159991?\nAnswer: 111993.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -237\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*u + 5*k, 0*u - 3*k = -u + 8. What is the second derivative of -4*y**2 + 38*y**u - 22*y + 48*y wrt y?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 + 290 + 1850 = 336*a. Sort -6, -5, a in increasing order.\nAnswer: -6, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 2*k + 4*k. Let q(b) be the second derivative of b + 0*b**2 + 0 - 1\/6*b**4 + 0*b**3. Calculate q(w(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08403391 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 12*g + 161. Let a be h(19). Suppose -61 = -2*k - 3*r + 8*r, 4*k - 117 = 5*r. Is k at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1718 + -2?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 247\/4, 0.1, 1\/5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/5275897 and 21\/804133?\nAnswer: 216311777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46961425 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -72\/17 (b) -0.09 (c) -24 (d) 3.5 (e) 5 (f) -1\/3 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 - 4\/6)\/10)\/((-7)\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2706b - a6?\nAnswer: -27122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.547 + -0.053. What is b rounded to 0 decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104550\/1394*15\/9.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 531 - 527. Let m(p) = p**2 - 3*p. Let g be m(5). What is the greatest common divisor of h and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = 1093 - 510 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 466140*-90\nAnswer: -41952600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 552 - -199. Let p(b) = b**3 - 21*b**2 + 21*b - 18. Let n be p(20). Suppose i + 2707 - w = n*r, -4*r + 3906 = i. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1905 + 9528\/5. Which is the fourth biggest value? (a) g (b) -9 (c) -5\/2 (d) -182\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 415, 4, 0, 5, -2 in decreasing order.\nAnswer: 415, 5, 4, 0, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*z + 16 = 0, -18*s + 20*s - 5*z = 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -786480 by 157296.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 + 4*k - 12. Let u(s) = 3*s. Suppose -6*d + 21 = -5*d - 4*m, 0 = d + 2*m + 9. Let j be u(d). What is the units digit of i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 5*i**2 + 13*i + 13. Let j be ((-7)\/2)\/(9\/108). Let r = j + 49. Let p be a(r). Solve -2*g + 0 + p = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61, 126, 191, 256, 321?\n\"Answer: 65*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94776 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 15 + 5. Let h(i) = i**3 + 11*i**2 + 8*i - 11. Let a be h(z). Factor 0*s**3 + a*s**3 - s**2 - s**2.\nAnswer: s**2*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63833*4.\nAnswer: 255332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 9*w - 8. Let r be h(7). Factor 2 + r*t**3 - 6*t**3 + 2*t**4 - 4*t**2.\nAnswer: 2*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5483 + 7486 = 194*w - 1332 + 1497 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + j**2 + 4 - 4.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 6 = h + 27, -45 = 1321*d - 1326*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + a - 4 = o, -4*o - 3*a = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -40. Suppose -2*a - 3*g = -51, -a + x + 17 = -3*g. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = 15. Suppose -u + 18 = 2*u + d*f, 0 = 5*u + 2*f - 21. Factor -6\/5*k**u + 0 + 0*k - 27\/5*k**4 + 0*k**2.\nAnswer: -3*k**3*(9*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67723011 by 5.\nAnswer: -67723011\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 17 = -3. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**3 + 56*d**2 + 140*d + 88 = 0.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*b + 3*v, -5*b - 4*v = -0*b - 36. Suppose -2*w + w + 65 = 5*z, 5*z - 215 = -b*w. Suppose 109 = 3*d - w. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3766971, -3766969, -3766965, -3766959, -3766951, -3766941?\n\"Answer: m**2 - m - 3766971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/19)\/(n\/(n\/n**(-2)))*(n\/(n**(1\/5)*n)*n*n)\/(n\/(n\/((n\/n**(-9))\/n)))*n**(2\/19)*n*n*n\/n**(2\/19)*n*n\/(n*n**2)*n*n\/(n*n**(1\/2)) assuming n is positive.\nAnswer: n**(-503\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/5 - 40058*o**3\/5 + 412103449*o**2\/5 - 219169495632*o\/5 + 29935167460416\/5 = 0. What is o?\nAnswer: 277, 19752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 43396584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2589, -5178, -7769, -10362, -12957, -15554?\nAnswer: -18153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1167 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -3*m. Let j be (6\/4)\/((-6)\/(-16)). Let d = m - j. Which is smaller: d or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 22*t**2 + 1\/40*t**4 + 1\/560*t**8 - 1\/100*t**6 + 0*t**7 + 0*t + 0*t**3 + 0 + 0*t**5. Factor a(w).\nAnswer: 3*w*(w - 1)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**6\/360 - l**5\/15 - l**4\/12 + 2*l**3\/3 + 3. Let n(s) be the third derivative of z(s). What is the units digit of n(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-100)\/(-16))\/(-1*4\/(-16)). What is the common denominator of -113\/110 and (105\/(-6) + -2)\/m?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1967 - 1967. Let a = 6 + -11. Sort j, -0.12, a in descending order.\nAnswer: j, -0.12, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -931650, -931647, -931642, -931635, -931626?\n\"Answer: x**2 - 931651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (399\/(-56))\/19*(-40)\/6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 7}. What is prob of picking 2 d?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a + 2. Let r(p) = -9*p - 3. What is -5*m(w) - 3*r(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10850617711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71102, -142182, -213272, -284378, -355506, -426662, -497852, -569082?\nAnswer: -640358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277.6 + 259.6. Put t, -2\/7, 8 in decreasing order.\nAnswer: 8, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244769*i*t**3 - 12604*i*t + 2*i - 30*t wrt t?\nAnswer: 1468614*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500 and 75900?\nAnswer: 379500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 1221 = -550. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 164463831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32372 and 220?\nAnswer: 7121840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*n - 2*y + 1, -2*n + 4*y = -22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - 4) - ((13 - 18) + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 9 = m, -2 = -3*k + 4. Suppose 0 = c - 3*c + 2. What is the remainder when m is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357779 (base 12) to base 6.\nAnswer: -30301033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -s - 19, -p + s = -156 + 152 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.3 minus 0.077739?\nAnswer: 14.222261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yjjyyyyj.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -12165?\nAnswer: 12167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 10 - 6)*(15*g**2 - 51 - 14*g**2 + 61 + g).\nAnswer: 11*g**2 + 11*g + 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00141180263 to five decimal places.\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 308889000 to the nearest one million.\nAnswer: 309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4632 by 4.\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t + l + 123 = 0, 20*l - 81 = 3*t + 24*l. Let n = 8 - 5. Sort 4, n, t, -5.\nAnswer: -5, t, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000100110110110 (base 2) to base 8.\nAnswer: -504666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10c2b025d - 4?\nAnswer: 10c2b0259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 != 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 190162?\nAnswer: 190162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1812490 and 60.\nAnswer: 10874940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*z + 98 = 0, 0 = 2*n + 6*z - 4*z - 64. Let q = n - -246. What are the prime factors of q?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76.954 + 77. Let g = n - 0.346. Which is the closest to 0? (a) g (b) 1 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1816, 7717, 17586, 31423, 49228, 71001?\nAnswer: 96742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 395*z - 47*z**4 - 45*z**3 + 327*z - 40*z**3 - 136*z**4 + 83*z**3 wrt z?\nAnswer: -2196*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31563 and 17409.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9160171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j**2 - j**2 + 0*j**2. Let p(z) = 3*z**2 + 1. Let r(h) = h**3 - h**2 + 3*h - 23. Let q be r(3). Calculate q*n(k) + 2*p(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f. Let n be g(1). Let l be (-24)\/20*(-80)\/(-12). List the prime factors of 11\/((20\/l)\/n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9124*i**4 - 163*i**2 - 7*i.\nAnswer: 218976*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/20 - 5*h**4\/12 - 5*h**3\/6 - h**2\/2 - 10*h. Let a be i(-5). What is the highest common divisor of a and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*z + 3 = 208*z. Suppose 0 = -2*x + 3 + 11. What is the least common multiple of z and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (1 + -8)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 5) + 2 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49644 (base 10) to base 3.\nAnswer: 2112002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 93141*o.\nAnswer: o*(o + 186282)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2. Let q(p) = 16*p**2 + 2*p - 2. Let r(x) = -2*a(x) - q(x). Give r(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(228)*-2*4)\/((sqrt(12) - (sqrt(12) + sqrt(60)\/sqrt(5)))*3))*-2 + -2.\nAnswer: -16*sqrt(19)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 5*a**2 + 23*a + 11. Determine v(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**3 + t**2 - 2*t - 1. Give n(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(8) - (sqrt(8) - sqrt(48)\/sqrt(6)*-1)) - (-3 + -1*sqrt(48)).\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/9 + 440*d\/9 - 24200\/9 = 0.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n = 78*n - 8928 - 1617. Is n a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -1\/4, 2\/5, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-6231)\/85157.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365396 is divided by 153.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 13. Let h be f(8). Suppose x = -a - 7, -15*x - 12 = -12*x. Put a, h, -5, -4 in increasing order.\nAnswer: -5, -4, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -539*n + 16236. What is p(30)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12)*12\/90*-5)\/((-1)\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**6)\/p)\/p*p**2\/p*(p**22)**(-21\/2))**(1\/5) assuming p is positive.\nAnswer: p**(-236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 12. Let i(y) = -y**3 + 9*y**2 - 8*y + 5. What is the units digit of i(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -699 - -698.87. Is -64 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 133*w**2 + 13*w + 16. Let m be a(-12). Suppose 0*l - l + m = 3*r, 5*l - 94980 = 5*r. Round l to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 22*w**2 + 16*w - 45. Determine a(3).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104352 is divided by 2310?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -35. Suppose -2*j - 690 = -r*h, -4*j + 2*j - 270 = -2*h. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k. Let x(z) = -3*z**2 + z + 16. Let q(b) = 21*b**2 - 6*b + 236. Let p(y) = -q(y) - 6*x(y). Give u(p(l)).\nAnswer: -12*l**2 - 1328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/99360 and -119\/385020.\nAnswer: 3080160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 7. Let p(x) = 16. Let i(k) = k + 33. Let m(c) = -2*i(c) + 5*p(c). Let o be m(6). Solve f + 0 = 2*n + 5, -5*f + o*n = d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 10*a + 50 + 4 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (0 + sqrt(720))*-4 + 5)**2.\nAnswer: -69606 + 5184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t = 105 - 197. Solve -21*s - 11 = -2*v - 20*s, 2*s + t = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 107*d + 2087. What is w(-16)?\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350831380, -350831371, -350831348, -350831305, -350831236, -350831135, -350830996, -350830813?\nAnswer: -350830580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 96*l**2 + 33*l**3 - 7*l**4 + 97*l**2 - 3*l - 31*l**3 in the form b*l**4 + m*l + r + o*l**3 + c*l**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 4, 1171, -2.\nAnswer: -78, -2, 4, 1171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 10:36 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4375.2 - 3873. Round x to the nearest 10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/4 - 5*f**3\/2 + 11*f**2\/2 + 10*f - 12. Let l(i) be the first derivative of s(i). Is l(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x - 11*x = -165. Suppose -x*l - 34 = -84. Suppose -180 = 2*u - 6*u. What is the remainder when u is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 3133051?\nAnswer: 2\/3133051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-32)*i**(3\/26)*i*i)\/(i*i*i**(-20))**(-18) assuming i is positive.\nAnswer: i**(-9201\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 + 238 = -44*s. Let t(u) = -u**2 - 8*u + 17. What is t(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5*r - 10 = 3*d, d - 6 = -r. Let l(v) = v**3 - 7*v**2 + 4*v + 4. Give l(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95565328667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose -t = -5*r, 2*m + r = -r + 50. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c = g - 60, 15 = 3*g. Let u = -78731 - -78733. Calculate the remainder when c is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -79. Suppose -d = 3*a - 2. Is -3\/4 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91.82*-23.\nAnswer: 2111.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801463343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23616*u**4*z - 1371*u**3*z**2 - 5*z**2 + 677*z + 19 wrt u?\nAnswer: 94464*u**3*z - 4113*u**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/6 + 101445*c\/2 + 152166 = 0.\nAnswer: -304332, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11143776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a = 5. Suppose 132 = 7*o + 125. What is the greatest common factor of a and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - i**3 - 2)*(-3 - 3 - 16) + (-i + 2*i + 0*i)*(-4*i**2 + 0*i**2 + 3*i**2) + 2*i**3 + 0*i**3 - 3*i**3 in the form m + q*i + g*i**2 + r*i**3 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -23 - 1\/2*z**2 + 0*z. Let p(t) = -58*t**2 - 2. Calculate n(p(m)).\nAnswer: 58*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -5, -9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 + -0.51283402\nAnswer: -1.91283402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*r - 2. Let x = r - -3. What is the tens digit of 2 + 0\/x + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 165 or 9?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 + 9*j + 7. List the prime factors of f(7).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6868725, -13737439, -20606143, -27474837, -34343521, -41212195, -48080859?\nAnswer: -54949513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*n - 453 + 106*n + 80*n + 453.\nAnswer: 134*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 3, -8, -73, -37 in descending order.\nAnswer: 9, 3, 2, -8, -37, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 + -212?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 1. Let y(w) = 7*w**2 + 5*w - 28. Let k(m) = m**2 + m - 8. Let q(t) = 4*k(t) - y(t). What is -q(s) - 4*z(s)?\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(429)\/(sqrt(132)\/(sqrt(60)\/sqrt(5))))\/(sqrt(9)\/(-2*sqrt(300)))*-2 + 1.\nAnswer: 1 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/350 and -59\/20.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2644 divided by -1632?\nAnswer: 661\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 833*h**2 - 2.\nAnswer: 833*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71350719.\nAnswer: 3, 11, 19, 113797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810452?\nAnswer: 2, 702613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p - 3, 4*f - 5*p - 39 = 0. Let z be (-141)\/21 - f\/21. Let i = 47 + z. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaahheaaageh. What is prob of picking 1 e and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 - -91. Which is the closest to 2\/5? (a) w (b) 3 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 17*x - 83178. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -426597, -853195, -1279793, -1706391, -2132989, -2559587?\n\"Answer: -426598*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 - 4*r. Suppose 11*q = 15*q - 12. Let p be l(q). Suppose -1043 + 23 = -p*k. What is k rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**2 - 439*d + 3. Calculate l(-65).\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221 (base 4) in base 9?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71995.\nAnswer: 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, e: 4, o: 1, p: 5}. Give prob of picking 2 p and 2 e.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 16 = 4*f. Let u = -9 - -17. Suppose -4*y = -2*h + u, -y + 9 = h - 2*y. What is the least common multiple of h and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0)\/(-1) - 147\/(-3). Let t = 80 - j. What is the lowest common multiple of (-70)\/(-22) + (-6)\/33 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*sqrt(11)*3 - 1*(-3*(sqrt(11) + 0))**2.\nAnswer: -99 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(6*-3*sqrt(539) + sqrt(539) + 0 + sqrt(539) + 0)*4)**2.\nAnswer: -158957568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstssssssttsttssss. Give prob of picking 1 s and 3 t.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*f + 4 = 60*f. What is the second derivative of -6*g + 102*g**4 + 11*g - 32*g**f - 59*g wrt g?\nAnswer: 840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1242 and 6669.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20796, -41574, -62338, -83082, -103800, -124486?\n\"Answer: x**3 + x**2 - 20788*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5 + 1, -20 = -h - 4*y. Solve -h = -3*n + 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaggaygggggs. Give prob of picking 2 g.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 14, 39, 68, 101, 138?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 645 and 271545.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 6*a + 5. Suppose -5 = -3*d + 4*d. Let g be m(d). Let v be ((-6)\/g)\/(5\/((-125)\/(-10))). What is the second biggest value in 3, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/13 + 18*c**3\/13 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r - 13. Suppose -4*h + 2*h = 3*p - 31, 4*h - 55 = -5*p. Let a(d) = -3*d - 4. What is p*a(o) - 2*g(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/4 != -29023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0317 + -0.0015. What is w rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgppppgg. Give prob of picking 2 p and 1 g.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 2*s**3\/3 - 230*s**2 + 26450*s + 33. Let p(f) = 0. What is f?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 + 385\/(-3). Let g be k\/(-20) + (-2)\/5. Suppose -j = w - g*w + 123, 2 = j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*o + 3358 = 11620. Solve 0 = 26*k - o + 128 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -40521.\nAnswer: -40524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459 divided by 14?\nAnswer: 1459\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.3 - -5.3. What is the biggest value in -2\/9, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -428 + 423. What is the closest to -0.2 in 0.1, -1\/4, c, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.3, 4\/5, 23\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5250 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x = -27*x - 5092. Which is smaller: -71 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500)*-2)\/(sqrt(27)\/sqrt(3)*4) - ((-2*(-2 + (sqrt(5) - (2 + 1 + sqrt(5)) - sqrt(5))))**2 + -1).\nAnswer: -119 - 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j. Let d(l) = 3*l**2 + 2*l. Let b(h) = 15*h**2 + 11*h. Let n(u) = 2*b(u) - 11*d(u). What is r(n(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 6*o - 3*o + 12, -2*o - 8 = -4*v. Let j = 7.6 + -7. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 475 = 5*u - 0*u, -3*x + 3*u + 1461 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnfntnttannnbantttn. Give prob of sequence tna.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cybbnbsrnncn. What is prob of picking 1 y and 1 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -640001.\nAnswer: -19\/640001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + (-70)\/(-4). Let p = y + -5. Suppose -3*b = 3*l + 9, -6*l + 2*l + p = -b. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3 - 6265*p**2 = 0?\nAnswer: 0, 6265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 10*q + 176. Suppose 13*b = q*b - 2931. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 0 + -2 + 2. Let p = 8 - c. What is the tens digit of -3*-5*p\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 635.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.29 - -0.39. Sort q, -0.1, -1\/2 in decreasing order.\nAnswer: -0.1, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15092, -15069, -15024, -14945, -14820, -14637?\n\"Answer: 2*z**3 - z**2 + 12*z - 15105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -z + 2*z + 26, 2*z = -3*r. List the prime factors of (-4)\/(-8) + (-171)\/z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scgiszss. Give prob of sequence ic.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -34.07. Which is the third smallest value? (a) m (b) 1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -509 or 309?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.72 - -14.12. Sort 18, 0.14, i in descending order.\nAnswer: 18, i, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/1080 - r**5\/270 - r**4\/72 - 13*r**2. Solve f(h) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, -0.8, -12\/7, -2, 0.4, -3.8?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -5 (b) 0.5 (c) -8 (d) 0.1 (e) 16559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40711 by -6.\nAnswer: -40711\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*c - 7. Calculate the least common multiple of c and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kttk when four letters picked without replacement from uuutuuuukiktiiu?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-4)\/(-9))\/(-4))\/(82\/369). Which is bigger: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/27)\/(x\/x**13)*x**3\/(x\/(x*(x**(1\/22)*x)\/x)*x) assuming x is positive.\nAnswer: x**(8299\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*a + 3495 = 3*v, -1765 = -v - a. Let n = -19345\/11 + v. Find the common denominator of 4\/10 + (-92)\/10 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 - 68 = 38*c - 10. Calculate the least common multiple of c and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2626542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and -0.7?\nAnswer: -65.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-20)*80*30\/1920?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 - 7*q - 43. Let d(a) = 2*a**2 + 4*a + 21. Calculate 7*d(x) + 4*j(x).\nAnswer: -2*x**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/420)\/(2\/5).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**8\/120 + u**5\/30 + 3*u**3 - 26*u. Let j(m) be the second derivative of x(m). What is the second derivative of j(v) wrt v?\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8812396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 186 = 162 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(5\/4)))\/b*b*b**(11\/5) assuming b is positive.\nAnswer: b**(69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x + x**2 + 10*x - 35*x**2.\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 17*c - 19. Let y(g) = -g**2 + 9*g + 9. Let j(v) = -2*o(v) - 5*y(v). What is the tens digit of j(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-12) + (-2409)\/2628. Let s(j) = -j**3 - j - 4. Let d be s(0). Sort 0, d, -2, f in decreasing order.\nAnswer: 0, f, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000396061325 rounded to 7 decimal places?\nAnswer: -0.0003961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 380 = 7*b, 5*b - 71 - 203 = 3*i. What is the remainder when 283 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*q - 1\/3*q**3 + 1\/6*q**4 + 2\/3 - 1\/2*q**2.\nAnswer: (q - 2)**2*(q + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4307 - 4151. Suppose -4*l + 52 = -3*l. Suppose -169 + l = -3*w. Calculate the highest common factor of t and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 1155 + 7*m + 1160 - 2*m + 10*m**2 + 0*m. Suppose -3*t - 2*t - 40 = 0. Let r be g(t). What is the greatest common divisor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157989 is divided by 78976?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -355 + 355 + -3 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - 25*k**3 - 2*k**2 + 24*k**3 + k + (-4 - 5*k**2 + 4)*(2*k - 5*k + k).\nAnswer: 9*k**3 - 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 + 12 + (7 - 18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7079, -7712, -8307, -8864, -9383?\nAnswer: -9864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13159 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: What is the greatest common divisor of 1714410 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.201 and -0.05?\nAnswer: 0.01005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5745243 to the nearest integer?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -12.4. Let u = h - -1.6. Let z = 1 + -1.2. Which is the nearest to u? (a) -2\/11 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-42)*6*63\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36 + 36 + 7*l**3 + (1 - 2*l - 1)*(-l**2 + 0*l**2 + 0*l**2) - l**3 - l**2 + l**2.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (1 + 1 - (18 - 13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-32 + 39 + -30 - -95).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083610970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/37)*t\/t**(-16))\/((t\/(t**(-14)*t)*t)\/((t*t*t**(-1\/5)\/t*t*t)\/t)) assuming t is positive.\nAnswer: t**(713\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27a438 + -1?\nAnswer: -27a439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 334*q**2 - 386*q + 771. Let b be g(2). Calculate the highest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*g + 75*g = -5*m - 10, -10 = 3*g + 5*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.021*-156514\nAnswer: 3286.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-15))\/(-1) - (-4)\/5. Sort -3, t, -2, -4 in ascending order.\nAnswer: -4, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28142918.\nAnswer: 2, 14071459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052045 - -49282.\nAnswer: 49282.052045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -296932 divided by 76\nAnswer: -3907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 4*a + 2*a**2 + (2 + 3 - 15)*(0*a - a**2 + 0*a).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, 3, 35\/8, -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 + 7*o**2 - 2*o**2 + 171383 - 171383.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in -6, -0.4, -2\/61, -3\/2, -4?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107 in -3, 1, -1\/8, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1487280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j. Suppose j = 4*b - 10*b + 30. Let t be 375002\/b + (-26)\/65. Round t to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p - 5 = 0. Let d(n) = n**3 - 2*n**2 + n. Calculate d(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8659 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.34575194 - 55.65424769. Let q = 1.49 + -72.49. Let l = x - q. Round l to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1550*l**3*u**2 + 317*l**2*u**2 + 2*u**2 + u + 50190 wrt l?\nAnswer: -4650*l**2*u**2 + 634*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*z + 213 = 0, 3*z - 1 = 2*z. Let q be (f\/(-21))\/((-3)\/(-21)). Let i = 39 - q. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/30*9\/54?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from vvvavaavaaksvv.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/103 - 14339\/138123. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 18*y - 5. Let q be a(-7). Let i(w) = w**2 - 12*w - 4. Let v be i(11). Calculate the common denominator of -23\/8 and (v\/q)\/((-7)\/(-308)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110 - -21) + -77 + (-9 - -43).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-21))\/((((-1288)\/294)\/(-23))\/(4\/45)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -243425 (base 10) in base 5?\nAnswer: -30242200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11551213 + -44?\nAnswer: 11551125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 37 - (37 + -4)) + 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70.6 or -1272.9?\nAnswer: 70.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a litre in millilitres?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 306 = -127. What is y rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60.69 + -64.7. Let k = 0.8 + 3.2. Let b = k + f. What is b rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*z**5 + 14*z**3 - 14*z**3 + (2 - 1 + 2)*(-3*z**5 - 4*z**5 + 4*z**5).\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-1456)*((-6)\/14 - 29\/(-35))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**3 + 9*l**2 - 108*l - 1. Let c(k) = -11*k**3 - 15*k**2 + 218*k + 1. Calculate 3*c(x) + 5*j(x).\nAnswer: -3*x**3 + 114*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*u + 173*u + 2*u**3 - 347*u + 18 in the form j + n*u + a*u**2 + b*u**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**6\/360 + d**5\/15 - d**4\/12 - 22*d**3\/3 + 5. Let p(t) be the third derivative of w(t). Determine p(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/13)\/((-21)\/42)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -12*f - 3. Sort f, 5, 7 in decreasing order.\nAnswer: 7, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 42 - (4 - 14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 576*y + 10035. What is the smallest common multiple of x(-14) and 114?\nAnswer: 74898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 5*l**3\/2 + 7*l**2\/2 + 5*l\/2 - 3.\nAnswer: -(l - 1)**2*(l + 1)*(l + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2125*y - 14835. Determine m(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*d + 65*d - 72*d - 3234 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 128 = 4*t + v, 3*v + 38 = -t. What is the units digit of 1\/3 - t\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6440.825 rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274058386*o**2 - 137029192*o**2 - 137029192*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i - 15. Let b(t) = 4*t - 7. Let y = -289 - -295. Determine y*w(s) - 13*b(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/5)\/n)**(-7)\/((n**(2\/3)*n)\/n)**(-13) assuming n is positive.\nAnswer: n**(319\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v**2 + 25*v + 1. Let m(s) = 7*s**2 + 23*s. Determine -2*d(t) + 3*m(t).\nAnswer: -7*t**2 + 19*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - (-4)\/(-10). Suppose -w + 3 = c - 6, -5*c + 25 = h. Let k(d) be the third derivative of d**4\/24 - d**3\/3 + 2*d**2. Give k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -66. Let m(d) = -d**3 - 17*d**2 + 18*d + 4. Let g be m(k). Solve 2*b + g - 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 - 3*r + 8. Let o(q) = 8*q**2 - 5*q + 12. Let j(g) = 7*m(g) - 5*o(g). Find the second derivative of j(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 7, b: 5}. What is prob of sequence zsbs?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 27 = 48. Let z = -269 + 257. Let v be (-1 - 16\/z)*k. Solve v*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 + 0 = 2*m, -25 = 5*m - 5*i. Let u be m\/9 + 260\/15. Let z be 532\/126 + 2\/(-9). Solve z*t = 3 + u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 258275653*p**2 + 1966*p - 3329 wrt p?\nAnswer: 516551306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 2:21 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -54, 2.\nAnswer: -54, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 27*b - 316036. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1333\/2550 - -44\/51. What is the common denominator of f and (-138)\/16 + 14 + 10 - (0 - -7)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 31*i**2 + 32*i + 66. Let h be y(-30). Let p(z) = 1 + 0 - h*z - 19*z. Let l(b) = -b. Give l(p(x)).\nAnswer: 25*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -2*a**5\/15 - 3*a**2. Let y be u(-1). Let b be (4\/y)\/((-1)\/(-12)). Is b greater than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 33*u - 250. Give g(-16).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 7158*k + 14 + 7175*k)*(-k + 5*k + 0*k) to m*k + f + a*k**2 and give a.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 577890324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 22 = 7. Let a be (4\/o)\/((-8)\/(-516)). Let l = -615\/7 - a. What is the common denominator of -35\/9 and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*q - 20, 2*q + q + 3*y = 0. Let p(l) = 3*l + 5. Calculate p(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116c6 (base 13) to base 8\nAnswer: -76276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10939\/2481 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2193*p**5\/5 - 3875*p - 1500. What is the derivative of c(z) wrt z?\nAnswer: 8772*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879383?\nAnswer: 809, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 393 = 2*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(3)*2)\/(sqrt(2) - sqrt(16)\/(sqrt(8) + sqrt(512))) + ((sqrt(126)*3)\/sqrt(2))\/(sqrt(81)*-3 + sqrt(81)).\nAnswer: 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = -3*s + 10, -2*s = -5*b - 15. Let c be (-10)\/(-4)*42\/s. Calculate the greatest common divisor of c and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(833)*-2 - (-3*(sqrt(204) - -4*sqrt(204)))\/sqrt(12).\nAnswer: 57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*9.7\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x + 6 = 0. Let p = -73 - -78. Suppose p*g = -a - 5, -4*a - 20 = -0*g + g. Solve x*d + g*d = 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**4 - 3*u**3 - 754*u**2 - 7430.\nAnswer: -4*u**3 - 9*u**2 - 1508*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*u - 1, 0 = 4*u - 0*u + 8. Let d(j) be the first derivative of j**2 + 0 + 2*j + 0*j**2 + 3 - 3*j. What is d(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*h + 41*h + 4*h)*(-5007 + 5007 + 15*h) as z*h**2 + f*h + d and give z.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-7)\/21*(-12)\/(-80))\/(93\/186)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -922, -1881, -2840, -3799, -4758, -5717?\n\"Answer: -959*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 252*z - 13768. Give u(-80).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -x + 271. Suppose -12*q + 4845 = x*q. Calculate the greatest common divisor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 5*f = 15, -5*o - 5*f - 45 = 0. Let z be (-1)\/(-3) - o\/9. Factor -3*p**2 - z + p - 2*p + p**3 + 4*p.\nAnswer: (p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1397)\/88 - -10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181\/27 - -37\/216. Suppose 4*g = 3*g + 5*i - 149, 150 = -g + 4*i. Calculate the common denominator of x and (g\/126)\/(1\/3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -649 + 614. Suppose 4*x - 3*x - 6 = 4*o, -3*o - 2*x - 10 = 0. Put f, o, -0.2 in decreasing order.\nAnswer: -0.2, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 11*d**2 + 16*d - 126. Let i be u(-13). Solve -i*t = 10 - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.6, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -22*c**2 - 73*c + 364. Calculate g(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**2 + 142*x + 88. Calculate d(-12).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 622537197 to the nearest 100000.\nAnswer: 622500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2078272 - -0.2077. What is q rounded to 6 dps?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:32 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 - 6*m**3 + 7*m**2 - 3369*m wrt m?\nAnswer: 24*m**2 - 36*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-16)*h*h*h**4 assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-28)\/12)*-3. Let y be (9 + -1)\/(a\/1). Let q be 4 + 0\/(-1 - -8). Solve -4 - q = y*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2705*g - 234*g - 2104*g - 1814*g + 1802*g in the form a + c*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m - 806 = -12475. What are the prime factors of m?\nAnswer: 7, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5850 = 119*g + 118*g - 255*g. Calculate the highest common divisor of g and 1495.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166289 + -112061. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l + 62*l = 534005. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3607, 3617, 3641, 3685, 3755?\nAnswer: 3857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -63*p**2 + 9*p + 52. Let r(h) = -16*h**2 + 2*h + 13. Let y(c) = 9*r(c) - 2*x(c). Differentiate y(k) wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kttt when four letters picked without replacement from ixkttxkxxttkxktkx?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344945816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 46. Let j = y + -21.072. Let q = -0.0614 - j. What is q rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*n + 20. Suppose 16 = -n*a - 24. Let r = 44 + a. Solve -2*o - 3*o = -z - r, 5*o + 2*z = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2034 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6465 + -6124. Calculate the remainder when j is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**5\/50 + o**4\/30 - 8*o + 8. Let k(z) be the first derivative of i(z). Factor k(g).\nAnswer: -2*g**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-21 + (40 - 2))) + -8.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1711 - 1126. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 17 = 3*v - 5*v, 3*n + 11 = -4*v. Let b be (345\/399)\/(-1) + 0. Let x = b + 11\/19. Sort x, -3\/4, n in decreasing order.\nAnswer: x, -3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-20)*((2 - 0) + 3). Suppose 5*u - 3*h - 23 = 0, -3*h = 3*u - r - 5. Suppose u*m = -4*b + 284, 3*b - 2*b + 259 = 4*m. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905.0707338 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117.08 + 117. Let v = i + 0.58. Put v, -0.07, 2\/15 in increasing order.\nAnswer: -0.07, 2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.1, 0, 1.5, -19.\nAnswer: -19, -1\/3, 0, 0.1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 3*p**2 - 2*p - 7. Let a = 65 - 24. Let l = -45 + a. Let d(u) = 2*u**3 - 5*u**2 + 5*u + 15. Let o(v) = l*d(v) - 9*h(v). Give o(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*-8 - 2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198186578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*k + 147, -k + 5*k = 0. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/30084 and -34\/1446321?\nAnswer: 133061532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10784 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 110319*h**2 - 27*h - 83. Let y(z) = -55159*z**2 + 14*z + 42. Let w(f) = 6*v(f) + 11*y(f). Let m be w(-22). Round m to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 917*s - 4271. What is x(5)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-48)\/18)\/(4\/(-18)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 7*i**2 + 67 + 27*i - 2*i - 25*i to the form m + n*i**2 + y*i and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2103, -2119, -2141, -2169, -2203, -2243?\n\"Answer: -3*b**2 - 7*b - 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -15. What is the remainder when p is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1343 = 3*i, -i + 5*i = -4*p - 1308. Let g be (p\/(-6))\/((-4)\/(-6)). Suppose 2*z = -3*s + g - 19, -5*s + 112 = 2*z. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4\/((d*(d\/(d\/(d**(2\/3)*d))*d)\/d)\/d*d)*(d**(-1))**(-13) assuming d is positive.\nAnswer: d**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7508 and 1308?\nAnswer: 2455116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 393 = -5*v, 9*v + 4*u = 4*v + 399. Let b = v + -25. Let n be (-200001 - -1)\/(2\/b). Round n to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67829?\nAnswer: 67829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/4 + 4*p**3\/3 + p**2 - p - 1. Suppose 0 = -4*i + 3*a + 22, 4*i + 4*a - 9 + 1 = 0. What is n(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/128221, 1\/3, -0.1, 6 in descending order.\nAnswer: 6, 1\/3, 2\/128221, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 169, 276, 381, 484, 585, 684?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2736 + 1114 = -311*p + 429 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:10 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + 1)*1 - (sqrt(72) + 3 + 2 - sqrt(72))) + -5)**2 + 5.\nAnswer: -108*sqrt(2) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516364036, 516364031, 516364022, 516364009?\nAnswer: 516363992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6559 times 17715?\nAnswer: -11619.2685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385611?\nAnswer: 281, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111657, -223312, -334967, -446622, -558277?\nAnswer: -669932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.9 - 7?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1385\nAnswer: 3\/1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/24 - 13*l**3\/6 - 11*l**2 + 2*l + 12. Let f(r) be the first derivative of z(r). Give f(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37708, -37741, -37774, -37807, -37840?\n\"Answer: -33*s - 37675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34769877 is divided by 289?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {x: 1, m: 1, f: 2, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 - j**4 - 3*j**4)*(2*j - 1 + 1) + (4*j**3 - 6*j**3 - 8*j**3)*(-1 + 0*j**2 + 20*j**2 - 7*j**2).\nAnswer: -138*j**5 + 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*k - 260 = 269*k - 94*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r + 17. Let h = r + 42. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2455 - -2454. Which is the nearest to 47? (a) 1 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - x + 0*x + 6*x. Let r(g) = 6*g**2. Calculate r(i(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -4*l - 100 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/((-4)\/30). Let q be 106 - (5 - d\/1). What is the highest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l**3 + 16*l**3 + 10*l**3 + (-28*l**2 + 28*l**2 - 5*l**3)*(4 - 3 - 3) as v*l + z*l**3 + c + g*l**2 and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 446.38442 + 0.129006\nAnswer: 446.513426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 1150?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -47*q**5\/60 - 43*q**4\/24 - 2*q**2 + 14. What is the second derivative of z(l) wrt l?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:08 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.002 and 5811.\nAnswer: 5811.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -37*v - 720. Determine y(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(6 + 7 - 22)*(3 - 3 + 12*g).\nAnswer: 216*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((27\/12)\/3). Suppose 0*c - 2*c + u = 0. What is the derivative of 1 + 0 - 3*z**2 + z**c + 3*z**2 wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408750 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*x - 3*y - 25, 0 = 6*x + 327*y - 284*y + 166 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -15. Suppose a = -v + 28. What is the highest common factor of a and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 22\/3*o**3 - 18 + 0*o - 14\/3*o**6 + 0*o**5 + 0*o**2 + 0*o**4. Find the third derivative of d(j) wrt j.\nAnswer: -1680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) 4121 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 5*p**8\/336 + 2*p**7\/21 - p**6\/24 - 4*p**5\/3 - 5*p**4\/2 + p**2 + 3*p. Determine o, given that x(o) = 0.\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z + 7. Let h(x) = x + 7. Let a be h(-4). Let g(c) = 5 + 0 - a*c + 10*c. Let l(u) = -7*g(u) + 5*p(u). Give l(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40385, -40361, -40349, -40355, -40385, -40445, -40541?\n\"Answer: -b**3 + 31*b - 40415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**2\/2 + 2*k. Let b(w) = -3*w + 4. Let o = -134 + 135. Let f(y) = o*b(y) + 4*g(y). Calculate f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - -1*sqrt(108))\/(6*sqrt(18)\/sqrt(3)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -8 (b) -1 (c) 1\/3 (d) 0.035915\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 6*v + 11, -26*w + 31*w - v = 7. Solve -w = -3*z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95\/38*45952\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.1 - -4. Suppose 0*a - 4*a + 433 = -5*y, 0 = y - 3. Let n = -445\/4 + a. What is the closest to n in i, -5, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25250*z - 16324*z + 50299*z.\nAnswer: 59225*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 54. Which is the second biggest value? (a) d (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**3\/5 + 204*b**2 + 20262*b\/5 + 107448\/5 = 0. What is b?\nAnswer: -148, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 5*t**3 - 8*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 152137 at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1643481330 divided by 6\nAnswer: -273913555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - c + o - 10 = 0, -c - 3*o = 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2924933.\nAnswer: 11, 23, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34356001 or -34356009?\nAnswer: -34356001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/24*27\/(2646\/(-56)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - y - 2*y - 2*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let u(c) = 14*c - 244. Determine v(u(k)).\nAnswer: 196*k**2 - 6832*k + 59536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Suppose s*r + 21 = 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -25480973?\nAnswer: 3\/25480973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 8\/5*v + 8*v**3 + 6\/5*v**4 + 52\/5*v**2 - 2 = 0.\nAnswer: -5, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 2) + ((-711)\/(-18))\/(131\/(-262)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u - 23 = -10*i + 14*i + 33, -2*i = -7*u + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n - 4*w = 56, 40 = 2*n + w. Let m be (18\/27)\/(4\/n). Suppose 0 = x - 4*v + m, 0 = 3*x - 2*v - 8 - 3. What is the nearest to 2\/7 in 1\/2, 0, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -121033221?\nAnswer: 121033210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42815 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4941123 is divided by 6930.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -847.3 + 842.3. What is the biggest value in p, -0.087, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 248*x + 991. What is n(-5)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 20537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - -103022?\nAnswer: 102433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 9. Calculate the common denominator of (-141)\/70 + 4\/(-14) and y\/8*(-86)\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -23863*s + 143184. What is d(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -166603 >= -167099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -41*u**2 + 3*u - 2. Determine t(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + o - 7*o + 11 - 4*o. Let p(n) = 16*n - 21. Let h(f) = 4*p(f) + 9*x(f). Let i be h(2). Is i bigger than -9\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 6248174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16121853587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 10. Suppose 7*u - 42 = -7. Let p be g(u). Solve m = p*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15588443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(500) + 4 + 2)*1 - ((2 + sqrt(500))*-5 + 4*(sqrt(500) + -1)))**2.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188 + -155. Let y = -33 + c. Solve y = 2*z - 4*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 15*b**2 + 15*b + 18. Suppose 0 = -l - 48 + 34. Let f be o(l). Suppose 0 = -3*k + 6*k - 72. Solve -f = 4*h - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggsdllj. What is prob of picking 1 s and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 3\/7, 39, -4, 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -24042?\nAnswer: -24020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-2)*1)\/(216\/(-18)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 3072\/80 + 2\/((-20)\/(-6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let q = 23.436 + -15.436. Sort q, m, 3 in increasing order.\nAnswer: m, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -739169 divided by 3.\nAnswer: -739169\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 159424687 to the power of 1\/2, to the nearest integer?\nAnswer: 12626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-81))\/(2*(-2)\/10).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u - u**2 + 0*u**2 + 2*u**2 + 4 - 6. Suppose 0 = 2*v - 4*g - 18, -2 = 2*g - 6. Suppose -4*h - 33 + v = 0. Determine t(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 508.8084 kilograms?\nAnswer: 508808400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.9 - 2.1. Let a = -22 - z. Let p = -2.9939 - 0.0061. Is p >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, -166 in descending order.\nAnswer: 3, 1, 0, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 1620.181?\nAnswer: 27543.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**3*r*t - 25*o**3*r + 212684*o**3*t + 2*o**3 + 2*o**2*r + 8*o + 284*r wrt t.\nAnswer: -o**3*r + 212684*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 264, 267, 270, 273, 276, 279?\n\"Answer: 3*k + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*v - 160, 3*v = 1341*w - 1338*w + 59 - 68 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = l - 8, 7*l = 10*l - 9*t + 2 - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from slrzzqllsrzslllglg?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 - 56*d - 262. Let p be c(-19). Calculate the greatest common factor of 33 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u - 5. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b. Let p(d) be the third derivative of 7*d**5\/30 + 7*d**2 - 13*d. What is i(p(m))?\nAnswer: -154*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Rearrange -b**2 - 19 - 43*b - 17 - 41 + 77 to k + r*b**2 + x*b and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 + 9*j + 6. Suppose 5*h = -32 + 2. Let y be c(h). Let w = 220 - y. Calculate the greatest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41554 - 24891. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (320\/6)\/(((-140)\/63)\/(-10)). What is the greatest common divisor of w and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-9)\/(-2))*-2. Put 8, 4, w in descending order.\nAnswer: 8, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16 + 11185\/((-7)\/(-7))?\nAnswer: 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) 53\/290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 0)*(-3*k + 2*k - k) + (-11 + 9 - 90)*(4*k + k + 1 - 4*k) to the form g*k + x and give g.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5367 by 657.\nAnswer: -1789\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3172?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:13 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**5\/60 + 5*v**4\/24 - v**3\/6 - 6*v**2. Let r be k(1). Solve -q + 4 = -r*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 5*x - 4*x - 9*u - 122 = 0, 4*u + 65 = 2*x + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -16207125513.\nAnswer: -16207125510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**5\/60 - 2475*s**2 - 2. Let l(i) = -i + 1. Let p(m) = 24*m - 11. Let q(g) = 22*l(g) + 2*p(g). What is q(r(u))?\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)*u)**(7\/8)*u**(1\/3)*u\/((u*u\/(u\/((u**(2\/5)*u)\/u*u)))\/u)*u)**7 assuming u is positive.\nAnswer: u**(6811\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18 - (-55)\/450\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -109, -177, -253?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12330 - 12323. Let u(b) = b**2 + 15*b - 143. Calculate u(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -j + 2*l, -32*j + 37*j + l + 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 2*c + 0*c**3 + 0 - 1\/6*c**4 + 1\/5*c**5 + 0*c**2. Find the third derivative of z(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*u + 5*u + 15 - 2 = 11*u, -4*u + 36 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 358568820002418?\nAnswer: 358568820002418.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -113, -165, -215, -263, -309, -353?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 1. Let l(v) = -51. Let r(y) = l(y) + 6*o(y). Calculate the remainder when 66 is divided by r(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.887 - -85.113. Let h = v - 85.999999562. Round h to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 5 - 64*c - 146*c.\nAnswer: -210*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -53, -78, -113, -158, -213?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333 + 567. Let j = a + -164. Let f = 125 - j. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 10:04 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1456285)\/(-35) + (2\/(-14) - 0). Suppose 8*d - i = -48*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2571.49 minutes to microseconds.\nAnswer: 154289400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*l**2 - 31*l**3 - 88*l**2 + 32*l**3 - 69*l**2.\nAnswer: l**3 - 266*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 198156\/(-11121) + (18 - 0). Suppose -o*y**2 + 8*y + 90\/11 = 0. Calculate y.\nAnswer: -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1, -4*g - g + 3*p + 388 = 0. Is 11 a factor of 304\/14 - (-22)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 84*t**2 - 93*t - 677. Let g be u(-85). Put g, 2, -4, -2 in increasing order.\nAnswer: -4, -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((t*t**(1\/8))\/t*t*t)\/t*t)\/t)\/((((t\/(t\/(t\/((t**15*t)\/t*t))))\/t)\/t)\/t))**(3\/10) assuming t is positive.\nAnswer: t**(483\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/18 - (-11)\/((-26334)\/(-2359)) and -3 - ((-358)\/(-8))\/(-71 + 56).\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (35\/(-15) - -1)*-237. Let x = u - -197. Let z be x\/4 - 2*(-4)\/(-32). Round z to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4970373 + -3161854. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -8.\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*j + 5*j. Find z such that -z**3 - 3*z**4 + 5*z**2 - 8*z + 7*z**3 + 7*z**2 + 2*z - j = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, d: 6}. Give prob of sequence fdf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000654248 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 10220132?\nAnswer: -10220124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1202*u - 1519*u - 10461 = 0 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(2\/13)*i)*i)\/i**(-5))\/(i*i*i*i*i\/(i\/i**(1\/3)*i)*i*i\/i**(2\/9)) assuming i is positive.\nAnswer: i**(5\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239816487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -717 - -647. Let b = 74 + s. Let l = -0.1 + 2.1. Put b, -0.4, l in increasing order.\nAnswer: -0.4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from yaaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3247 and 382?\nAnswer: 6494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x**2 + 3742*x + 582. Give d(312).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2 - 7*f**3 + 2*f**3 + f + 6*f**3 + 3. Let m(u) = 3*u**3 - 2*u - 3. Let d(y) = m(y) + 2*q(y). Find the first derivative of d(b) wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*y = -8, 4*t = 8*t + 2*y + 8. Let c(v) = v**3 + 5*v**2 - 5*v + 6. Let u be -8 + (0 - 2)\/(-1). Let n be c(u). Sort t, 1, n.\nAnswer: t, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -43923*u**6\/10 + 219373*u**5\/5 + 3629*u**4\/6 + 10*u**3\/3 + 112*u**2 + 4*u. Let p(o) = 0. What is o?\nAnswer: -1\/363, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {w: 1, y: 10, h: 6}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)*(-12)\/4. Which is the third biggest value? (a) 0 (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-105 + -3)\/(-12) + -5 + 0. Which is the closest to 49? (a) n (b) -1\/2 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-4*(5251\/(-236))\/89\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Suppose u + 0*u = 0. Let d(n) be the second derivative of -n - 1\/6*n**3 + 0 + u*n**2. Give d(j(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 5. Let f be t(0). Let o be 89\/4 + -2 + (-14)\/(-8). Suppose -o = -2*y + 2*b, f*y = 3*b - 5*b + 41. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 3. Let r be a(0). What are the prime factors of (0 - (-3)\/r) + 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -120 and 1.317.\nAnswer: -158.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90170 is divided by 734?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 73*c + 8. Let w be k(-4). Let i = w - -642. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x. Let g(m) = m + 2*m + m**2 + 2*m + 5*m**2. Let z(r) = -2*g(r) + 11*s(r). Factor z(i).\nAnswer: -i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140621642 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:16 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.09 less than -32309593?\nAnswer: -32309603.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34019815 and 0.6?\nAnswer: -20411889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415796417?\nAnswer: 37, 97, 115853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*s**2 - 55*s**2 + 4 - 5.\nAnswer: 484*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/sqrt(36) + 5 + (sqrt(52)\/sqrt(4) + sqrt(13) - sqrt(13)).\nAnswer: 5 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u*u)**(5\/2) assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 124*k - 382. List the prime factors of z(5).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -312 - 2024?\nAnswer: -2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -108. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 554829 and 7871?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:07 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 170055672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3329*i - 74 = -3331*i for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:54 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/3))\/u**(-7)*(u*u*u**1*u*u)**(-2\/7) assuming u is positive.\nAnswer: u**(152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 - (-16 - -20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7 - 5*c - c**3 - 3*c**2 + 9 - 6 - c**2. Give j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = a + 18, 3*x = -4*a - 107. Let u be 30\/4*(102\/10 - 3). Let o = u + a. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17714 and -5.7.\nAnswer: 1.009698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.179.\nAnswer: -1.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 16 + -5 - (-103 - (36 - 100))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000088 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 16 = d, -4*s + 0*d = 2*d - 4. Solve s*c = 5*r + 22, 5*r + 4*c + 19 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 41057785.73?\nAnswer: -41057776.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2. Let u = 689 + -481. Let x(c) = 8*c**2 - 3*c + 3. Let n(z) = -280*z**2 + 104*z - 104. Let s(o) = u*x(o) + 6*n(o). What is s(f(p))?\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + -4 + sqrt(19) - (5*sqrt(19)*-2)**2).\nAnswer: -3816 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 8*z**2 - 6*z - 5. Let p be l(7). Let o be (p\/6)\/1*3. Suppose -5*h + 11 = o. Solve -f - 5*k = 17, -f - 3*f + h*k = -20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1531*v + 1539*v + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 2. Let q be c(0). Let i(l) be the second derivative of -2*l - 1\/3*l**3 + 3*l**q + 0. What is i(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)*v**(4\/7)*v*((v*v\/v**(-2\/7))\/v)\/(v**(2\/9)*v))**(-15\/7) assuming v is positive.\nAnswer: v**(-85\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/401115960 and 109\/47751900.\nAnswer: 2005579800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*f + 167. Suppose 19 - f = -5*b. Let w(a) = -a**2 - 2 + a**3 - 3*a - 3*a**2 + 2*a**2. Give w(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 1}. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11113 (base 4) to base 15.\nAnswer: -17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*m + 3*m + 2, -2 = -m + 4*n for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53\/42 + 5\/21. Let z = 151816 - 151812. Factor l*x**5 - 12*x**2 + 3*x**z + 0*x + 0 - 6*x**3.\nAnswer: 3*x**2*(x - 2)*(x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 7 - 3 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**2. Suppose -47 = 5*j - 27. Let i be -5*36\/j + 2*2. Let p(z) = -58*z**2 + 114*z**2 - i*z**2. Determine k(p(l)).\nAnswer: 490*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 2*p**5 - 15*p**2\/2 + 155*p - 890. What is the first derivative of g(w) wrt w?\nAnswer: 40*w**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.67819m in centimeters?\nAnswer: 3967.819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 49*t + 6. Let g(p) = 10*p + 1. Let l(m) = 11*g(m) - 2*j(m). Calculate the remainder when 32 is divided by l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v + 15 = 5*x, 2*x = -4*v + 6. Suppose 0 = -x*q - 31 + 85. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1414 is divided by 778.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 42225*n**2 + 1849795*n + 13231575.\nAnswer: 5*(n + 9)*(n + 35)*(n + 8401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/960 and -49\/250?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -28858\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -116\/3338205 and -12\/85595.\nAnswer: 3338205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/24 - u**3\/6 - 2*u**2. Let q be l(-2). Calculate the highest common divisor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -29*c - 173 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 2*d**2 - 3*d**2 + (6 - 3 - 4)*(-2*d**2 + 4*d**2 + d**2) + 4*d**2 + 5*d - 5*d in the form g + k*d + v*d**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*z**5 + 2*z**4 - 2399*z + 3080*z - 2*z**4 wrt z.\nAnswer: -2040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -898, -1625, -2096, -2167, -1694, -533, 1460?\nAnswer: 4429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrxrxrxxr. What is prob of picking 4 x?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.805 to 1 decimal place.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 10:40 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6309508 divided by 254.\nAnswer: -3154754\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.01, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4*27\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and -25.959?\nAnswer: 16.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 736, 4 in ascending order.\nAnswer: 1, 4, 736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 6. Let a(s) = s**2 - 2736. What is a(n(g))?\nAnswer: 9*g**2 - 36*g - 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5.35 times 74\nAnswer: -395.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h + 5. Let z be k(-26). Which is smaller: 184 or z?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101102110000 - 20?\nAnswer: 101102102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392813 to the power of 1\/2, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122013545?\nAnswer: 5, 24402709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 4*f**2 - 3. Let x(m) = -6*m**3 + 23*m**2 + 17. Let q(r) = -34*l(r) - 6*x(r). Let q(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/175 and -37\/7056.\nAnswer: 176400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*y + 3*h - 249, 2114*h = 2111*h - 39 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h*u + 32201*h + 267*u with respect to u.\nAnswer: -9*h + 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 11. Let w = 13 - q. Suppose -w*m + 5*m = -15. Let v(x) = -x**2 - 7*x + 2. Let d(n) = -n**2 - 10*n + 3. Determine m*d(c) + 7*v(c).\nAnswer: -2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + ((sqrt(2) + 0)*-4 + 6*sqrt(2) + 2)**2)*5.\nAnswer: 40*sqrt(2) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d**2. Let h(f) = -2*f**3 + 8*f**2 + f. Suppose 3*t - 9 = 4*t. Let u = -6 - t. Let z(q) = u*o(q) - h(q). Determine z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 1 n when three letters picked without replacement from txxtxwiiwxtn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -83\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from dfxxx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.1 in 5, 0.2, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435948175 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27648504?\nAnswer: 2, 3, 13, 109, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 7*d - 5*x - 25, 4 = -4*x. Let f(t) = 2*t**2 + 25 + 27 + 2*t**2 + 10*t - 46 - 6*t**2. Let m be f(d). Solve -4*s + m = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515, -1593, -3381, -5873, -9063?\nAnswer: -12945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1186 less than or equal to 4564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1012 - -401041?\nAnswer: 400025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267*z**2 - 267*z**2 - 155*z**3)*((4*z**2 - 2*z**2 - 4*z**2)*(6 - 4 + 0) - z**2 + z**2 + 2*z**2).\nAnswer: 310*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4305*a - 1958. What are the prime factors of c(-6)?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2\/2 + 49. Let b(h) = -65*h**2. Give w(b(a)).\nAnswer: 65*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**2 + 807084*y + 69379640 = 0.\nAnswer: -201685, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1879940?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29167090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**2 - 5 + 139*n**2 + 6 - 1.\nAnswer: 158*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/(6\/(-24)). Put 0.1, h, 5\/3 in increasing order.\nAnswer: 0.1, 5\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -20. Let g(q) = q**2 + 7*q + 10. Let d be g(i). Solve 2 - d = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1168590 - 15184537\/13. Let i = s + -549. Which is the closest to i? (a) -3\/4 (b) -2\/21 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*r - 5*u - 482, 2*u = 3*r + 710. Let z = r + 401. What are the prime factors of z?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1696726, 1696494, 1696112, 1695586, 1694922?\n\"Answer: u**3 - 81*u**2 + 4*u + 1696802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/14)\/(((-6)\/84)\/(-1)). Solve 12 = r*k - 2*t, 0 = 2*k - 4*t + 3 - 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + x = -7*m - 15, x = 3*m + 17. Let q be (m - -5)\/((-4)\/4). Let t(d) = -14*d - 1 + 3 - 3. What is t(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.83652 hours to milliseconds.\nAnswer: 96611472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2697461, 10790008, 24277587, 43160198, 67437841, 97110516, 132178223?\nAnswer: 172640962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.6\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29764113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 2.95\nAnswer: -8.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 9 - 0) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - d**2 - 3*d - 1. Let f(n) = -6*n**3 + 4*n**2 + 8*n + 3. Suppose -2*o = 3*j - 5, o - 3 = -5. Let r = -24 - -32. What is j*f(p) + r*k(p)?\nAnswer: -2*p**3 + 4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -884570\/2091 + 1249\/123. Let p = 413 + v. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1181353 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, 102, 857, 2434, 5097, 9110, 14737, 22242?\nAnswer: 31889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 4*z. Let i be n(3). Solve i = -2*u + 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 97, -37503.\nAnswer: -37503, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 651840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/248 and -111\/40.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 6, b: 12}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 195753 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*h - 13. Let q = h + -24. Suppose q = -2*d - 1 + 21. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 19 - 9)*(-r**4 - 47*r + 47*r) in the form m*r + d + i*r**4 + o*r**2 + w*r**3 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0357 and 1?\nAnswer: 0.9643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428436, -1713726, -3855870, -6854862, -10710696?\nAnswer: -15423366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4\/7 + 36*i**3\/7 - 96*i**2\/7 + 80*i\/7 = 0 for i.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -37, -2\/7, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 3 = 0. Suppose 8 = 3*r - v. Suppose -5*u = -d - 69, r*u - 22 = -d + 13. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 0.57 (c) -1\/5 (d) -1\/6 (e) 8\/31 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/15, -0.1, -88, -0.2, -0.082, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 308238011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2062*z**3 - 319*z**2 - z?\nAnswer: 12372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 100?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16919, 67720, 152389, 270926, 423331, 609604?\nAnswer: 829745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -14. Suppose -l = j, 5*q + l - 72 = -0*q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*r**3 + 156*i**2*r + 3*i + 180*r**3 wrt i.\nAnswer: -2*r**3 + 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*j**3 - 1782*j**3 + j - 280*j**3 + 1235*j**3 - j.\nAnswer: -1446*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1719*g - 2008*g - 10404 = 0 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206*s**3*z**2 - 56*s**3*z - 99*s**2*z - 5059*s*z**2 - 312*z**2 wrt s?\nAnswer: 1236*s*z**2 - 336*s*z - 198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 1.1. Let n = 0.094 - -0.406. What is the nearest to x in -3, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9180 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -9 + 2 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3363 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -o + 3*v, 5*v + 2 = -3*o - 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10) + 1\/5. Find the third derivative of 0*u + a*u + 0*u - 3*u**4 - u**2 wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -50, -110, -194, -302, -434?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3986 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v = -5*z + 1993, -9896 = -5*v - 2*z. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -57812*a. Let r(p) = 5*p. What is r(q(b))?\nAnswer: -289060*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-117)*(-63)\/84. Is b greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14632 is divided by 1312?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/11))**(-4\/7))**20 assuming h is positive.\nAnswer: h**(-160\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -274\/27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79999, 80006, 80017, 80032?\n\"Answer: 2*a**2 + a + 79996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 + 1344352*j**2 + 1344358*j - 2688708 = 0. What is j?\nAnswer: -2, 1, 672177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 53243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 25 = -68*a + 77*a, f + 5*a = -29 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 e, and 1 k when four letters picked without replacement from kyepepyppkrpr?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(48)\/sqrt(6) + sqrt(8))\/sqrt(4) - (5 + -1*sqrt(2)*-3))**2.\nAnswer: 6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/6 - (-123)\/(-738). Solve 4*x = 5*g - 31, -14*x + 16*x - q*g = -14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3 + 27*l + 1599.\nAnswer: -6*l**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1778 + 1786.632. Let k = 9.83244 - d. Let l = k + -1.2. What is l rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 74074.\nAnswer: 296296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.137 - -1.743. Let u = 0.18 - -0.1. Let z = x - u. Which is the third smallest value? (a) -1 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:32 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 9*a**2 + 7*a - 4. Let l be u(-9). Is l at least as big as -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 4*t**3 - 2*t**3)*(-1 - 2 + 2) - 4*t**3 + 11*t**2 - 2*t - 11*t**2.\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -5 (c) 0.5 (d) -7 (e) 0.3 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/49 + ((-1710)\/(-60))\/((-812)\/(-8)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 s when three letters picked without replacement from fgsugsgg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b + 113. Suppose 544 = -23*c + 55*c. Let v be i(c). Which is smaller: -1\/28 or v?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6171 - 5963. Calculate the remainder when d is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2 - 6208\/1261.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Put n, -5, -1 in descending order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z. Let b(x) be the third derivative of -7*x**5\/120 + 2*x**3 + 7*x**2. Let p(n) be the first derivative of b(n). Calculate p(s(g)).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*d - 4 + 68, 0 = -d + 5. Solve -4*t - 9 = -5*w + 3, -t + 5*w - c = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 592376?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a\/a**(1\/4))))**22\/((a*a**10)\/(a*((a**(5\/2)\/a)\/a*a)\/a)))**(-1) assuming a is positive.\nAnswer: a**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 76 - 266. Let p = u + 1195\/7. Let g = -11 + 13. What is the nearest to p in g, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17071, -17048, -17029, -17014, -17003, -16996?\n\"Answer: -2*c**2 + 29*c - 17098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a6 + -1?\nAnswer: -7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 - 4*t)*(2*t + t - t)*(7*t - 16*t + 5*t) to the form n*t**2 + a*t**3 + u*t + s and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 336364, 2\/15 in increasing order.\nAnswer: -0.5, 2\/15, 336364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5*f**3 - 80*f - 56 - 2 - 15*f**2 = 0. What is f?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 4129*m - 16552. What is d(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 + 2*k - 9. Let c(x) = -x + 72*x**2 - 4 - 74*x**2 + 2*x. Give -7*c(r) + 3*o(r).\nAnswer: 2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 398453602 divided by 31\nAnswer: 12853342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821011.7g to nanograms.\nAnswer: 821011700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 18*b**2 - 16*b - 21. Let t be z(19). Let k(u) = 1. Let w(v) = -18*v - 36. Let x(c) = t*k(c) + w(c). Let l(f) = 4*f**2. Calculate x(l(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249842.\nAnswer: 2, 53, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -27*f**2 - 2. Let m(i) = -135*i**2 - 11. Calculate 2*m(l) - 11*s(l).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71549 is divided by 17883?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5123074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 172*b = 226*b + 5968 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d116ea (base 15) in base 10?\nAnswer: 9927445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -1) + 61 + 41 + -113\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jijjaijajjjii. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 163718279 at most as big as 163718282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m + 10*m - 9*m)*(0 + 1 + 1) - m - m + m + (2*m - 5*m + 2*m)*(1 + 0 - 3) - 4*m + 6*m - 6*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58519799.\nAnswer: 13, 59, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 28690206.8 to the nearest one hundred thousand.\nAnswer: 28700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72.25 + 71. Let p = 0.95 + z. Sort 0, p, 5, 17.\nAnswer: p, 0, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i - i)*(-2*i**2 - 2*i**2 + 6*i**2 + (-2*i + 3*i + 4*i)*(-3*i + 3*i - i)).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251389*b**4 + 104*b**3 - 191978086*b.\nAnswer: 3016668*b**2 + 624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 7*o**2 + 2. Let l be w(-7). Suppose l = a + a. Calculate the remainder when (27\/(-2))\/(a\/(-2)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**4 - 36*r**3 + 28*r**2 + 3*r. Let z(q) = q**4 + 33*q**3 - 28*q**2 - 2*q. Let c(n) = -2*g(n) - 3*z(n). Factor c(s).\nAnswer: -s**2*(s - 1)*(s + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-13)\/((-143)\/187) + -81.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 28 = 2*g, -2*g = g + 3*c - 24. Suppose 4*l = 4*p - 8, 4*p - 3*l + 7*l = 0. Put 3, p, 19, g in ascending order.\nAnswer: p, 3, g, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10, -97, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 3*j**4\/4 - 24*j + 49. Let c(z) be the first derivative of o(z). Let i(x) = 6*x. Determine i(c(u)).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 12) to base 4\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (594\/(-8019))\/((-8)\/32*4\/18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 7 (c) -3 (d) 1\/4 (e) 0.92\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 2 (c) 0.52 (d) 0.3 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/3 + 5*h**2\/2 - 6*h + 1. Let s be j(-6). What is m in 2*m**3 + s*m**3 + 3*m**4 - 4*m**4 - m**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/972 and 5\/796.\nAnswer: 193428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v)\/v*v**(2\/47)*v**(-1\/26)\/(v*v*v**(-16)) assuming v is positive.\nAnswer: v**(6115\/1222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 193, 81, 2 in ascending order.\nAnswer: -78, 2, 81, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79\/(-2))\/(484\/968)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 14. Let s = q + 387. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33805, 33810, 33817, 33826, 33837, 33850?\n\"Answer: h**2 + 2*h + 33802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6719988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(76))\/sqrt(4))**2 + 1.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -217, -9978, -9, 0, 3 in increasing order.\nAnswer: -9978, -217, -9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666*a**2 - 657*a**2 - 664*a**2 + 1976*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271 - 263. Suppose 0 = x*d - 629 + 13. Calculate the lowest common multiple of d and 49.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 20*f**2 - 9*f + 965. List the prime factors of p(18).\nAnswer: 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let a(y) = 61*y - 29*y - 35*y. Let s(o) = 2*a(o) + 4*c(o). Let i(k) = -15*k**2. What is s(i(g))?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*s + 22*s = -17*s + m + 34, 3*m + 18 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275 - -275. Which is the closest to m? (a) -2\/5 (b) -0.5 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 759, 0.1, 5, 2, -0.03 in increasing order.\nAnswer: -2\/3, -0.03, 0.1, 2, 5, 759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 71166194 = 33*b - 71166285, 4*r - 3*b = -25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2046)\/(-9) + (10\/3)\/5. Calculate the greatest common factor of g and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1895438.\nAnswer: 3790876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 64*s - 17*s + 7*s - 7*s - 12*s + 103*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -742690446.3+-0.3\nAnswer: -742690446.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnbjxvx. What is prob of sequence jb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 0.06 (c) -1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128368 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:24 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4 + 72*j**3 + 1755*j**2 = 0 for j.\nAnswer: -15, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-66)\/264 + (-2015)\/4*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 4*i**2 + 5*i + 4. Determine y(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 7 - (9 + -20 + 7) - -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3)*k\/(k\/((k*(k*k**(-4))\/k)\/k)))\/(k*k**(-1)*k)**(-2\/47))\/((k**1)**(-50))**10 assuming k is positive.\nAnswer: k**(69989\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556136 is divided by 373?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -959\/98009 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**3 + 4*x**3 - 4*x**3)*(-1340 + 2151 - 1050) + (-2*x - x + x)*(2*x**2 + 4*x - 5*x - 4*x) to the form q*x**3 + y + o*x**2 + c*x and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -180250 less than or equal to -181226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548310217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 599, 558, 507, 446, 375, 294, 203?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + i**2 + 2*i**2)*(-3 + 0 + 2) + (0 + 0 - 2)*(2*i**2 - 542 + 542) as t + b*i**2 + w*i and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(700)*2*-2)**2 - -5*((2 + (sqrt(700) - (sqrt(700) + 1)))*6)**2.\nAnswer: 179380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -64, -1085.\nAnswer: -1085, -64, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q, -3*x - 4*q + 177 = 0. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1 - 4 - 8 + x - 8. Let a = -46 - -46. Calculate z(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -4. Let a = 5 + -11.8. Let f = i + a. Is f smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = h + 3, 4*h + 3 = -2*q + h. Suppose y + 1 = -4*o - 14, -5*o - 18 = 2*y. Let k be (3 - 68\/20) + (-27)\/(-5). Put k, y, q, -5 in decreasing order.\nAnswer: k, y, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, -1, -4972.\nAnswer: -4972, -203, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 + 1. Suppose -3*y = -2*y - 1. Let x(h) = h**4 - 2*h**3 + 3*h**2 - 3. Let p(o) = y*x(o) + 3*w(o). Solve p(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 92. Let p = 51 + g. Calculate the remainder when 39 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/6*24\/(-70). Let a = 5143\/15 + -343. What is the second smallest value in -5, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3161616 - -642118. Let o be 4\/10 - 6018668\/(-5). Let v = o - c. What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:09 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 10 = 0, 12 = 3*x - x + 5*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t**2 + 15*t**2 - 2*t**2 - 2 - 10*t**2 as c*t + y*t**2 + g and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/120 - d**5\/20 + d**4\/24 - d**3\/2 + 14*d**2. Let f(l) = -l - 4. Let r be f(-7). What is s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 = -2*o, 0 = -3*x - x + 5*o + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 4, k: 5, o: 2, v: 1}. What is prob of picking 2 e and 1 k?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 - 180*r - 738. Determine h(-40).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 1, j: 2}. Give prob of sequence buj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -528 + 799. Let g = 470 - z. What are the prime factors of g?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5737 = -0*w. Let g = w - 51566\/9. Find the common denominator of g and -21 - 266\/(-20) - 1*-2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16856 divided by 27\nAnswer: -16856\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2412\/5 + -483. Which is the nearest to -2\/5? (a) m (b) -55\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 2:15 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.169998155 + -5.17. Round l to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-175))\/((-6)\/(-20)))\/((-128)\/3136)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009583 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(204))\/(sqrt(1728)*1))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 409449758 to the nearest integer?\nAnswer: 20235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 s when three letters picked without replacement from {s: 1, a: 1, y: 1, o: 3, z: 3, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 250 (b) 5 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2062\/2795 - -574\/65. Is y at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540883727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -1, -9, -31, -73, -141?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) 1 (c) 21 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182481332 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -3. Let k be (-280)\/(-21) + 1\/y. Suppose 11*r + 1526 = k*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 3*m**2 - m**2)*(-14 - 18 + 20 + (2 + 1 - 2)*(0 - 3 + 4)).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19\/(190\/4))\/(-5 + (-78)\/(-30)). Let j = -2 - 1. Let r be ((-1)\/3)\/(j\/27). Which is the nearest to y? (a) -3 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95941 - 33558. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363101.1 years to decades.\nAnswer: 36310.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*r = -7 - 14, 3*k - 4*r = -23. Let s = -9 - k. Let t(j) = j**3 + 8*j**2 - 2*j - 8. What is the remainder when 21 is divided by t(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 13.8845.\nAnswer: 13.9845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -276328 (base 9) in base 11?\nAnswer: -1057a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 2, o: 1, z: 1}. Give prob of picking 1 n and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l - 70*l = s + 2, -4*l = -4*s - 8. Factor 2\/5*v**5 + 0*v**3 - 2\/5*v - 4\/5*v**2 + l + 4\/5*v**4.\nAnswer: 2*v*(v - 1)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 77 + -5 + -3 + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 76508 = x + d, -2*x = -2*d - 30608. Let n(t) = 2212*t**3 + 2*t - 1. Let r be n(2). Let k = r + x. Round k to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694973.\nAnswer: 61, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-10 + (19 - 12) - 10) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 718166114 to the power of 1\/3, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*t + 23, 0 = -z - 0*z + t + 7. Let w be 8\/4 - (-3)\/z. Suppose -3*y + w*i = -6 - 3, 0 = 5*y - 3*i - 23. Solve 4*v + 1 = -y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 23393.4, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 17 in descending order.\nAnswer: 17, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (54\/135)\/(9\/(-5))*(-108)\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/7)\/u)\/u**(-8) assuming u is positive.\nAnswer: u**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -304.955 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.04 + -3. Let p be 3*-2 - 11\/77*-38. What is the nearest to 0 in 2\/3, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zor. Give prob of sequence rz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -10*c + 14. Find the third derivative of 6*a**2 + 17*a**2 + c*a**4 - 50*a**2 wrt a.\nAnswer: 360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920855 + 0.040876?\nAnswer: 1920855.040876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1. Let f(z) = z + 4. Let p(a) = f(a) - 5*k(a). Determine p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 39257402.\nAnswer: -39257401.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69535 (base 14) to base 15.\nAnswer: -50db4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972.966 seconds to milliseconds.\nAnswer: 972966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 14*i - 11. Suppose 60 = p + 2*p. What is the lowest common multiple of p and z(-11)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/5 + 366*y**2 + 3*y\/5 - 366.\nAnswer: -3*(y - 610)*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (15*1)\/(3740\/136 + -29)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1743*s**4 + 2055 wrt s?\nAnswer: 6972*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*l - 17789 = -160*l + 9373 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*t + 268 = -0*u, -3*t + 149 = 2*u. Calculate the remainder when 14\/((-1120)\/4848)*-3*5 is divided by u.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 3 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -961 + 957. Let j(b) = -b**3 - 3*b**2 + 3*b - 1. Calculate j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33357 is divided by 1283?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - (-384)\/28. Suppose 4*p = 5*p + 4*n - 22, 3*p - n = z. Let h be (-2)\/p*1*-15. Which is the nearest to 0.1? (a) h (b) -2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -583 - -352. Let l = y + 147. Let m be (-4)\/18 + l\/(-135). Are m and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b + 4. Let m = b + 33. Suppose v + 2*v = 4*i + m, 14 = v - 2*i. Solve c - 18 = v*x - 2, 4*c + 16 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsrr when four letters picked without replacement from wrwrwwwwsw.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 - 40*x + 1. Let t(u) = 13*u**2 - 120*u + 2. What is -8*f(o) + 3*t(o)?\nAnswer: -o**2 - 40*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7 = 4*w + 16, 0 = w + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6841 = 97*h - 45*h + 79*h + 1019 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11923 + -11926. Which is the closest to -0.2? (a) -6\/11 (b) y (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40897643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhsguggugggurgggrgu. What is prob of picking 1 g and 1 r?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -22. Let m = -9 + h. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.2 + -8.66. Let w = b - 0.65. Let x = w - -0.11. What is the third biggest value in x, -1, 3, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -40. Suppose 2 - 18 = x*g. Let s be ((-19)\/g)\/(3\/(11 + 1)). Solve 3*u + 4*o + s = 0, -2*u + 5*u + 5*o = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:15 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 - -1.52. Let n = -6.3 + l. What is the biggest value in 3, -4, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/2)\/c))\/c)**(-4\/35)*(c*c**(-4)*c)\/c**(-2\/5) assuming c is positive.\nAnswer: c**(-62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*l - 9*l. Suppose -l*h + 85 = -55. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 41, 13119?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3302*r + 20 = 3298*r. Let j(w) be the second derivative of w**5\/20 + w**4\/2 + w**3 + 2*w**2 - 2*w. Calculate j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693 a factor of 492405851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 27*j**2 - 13*j + 1. Give c(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (8 - 4) - (-6 - -10) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -2 + 5 - 10. Let g = 13 + v. Find the second derivative of -a**g - 3*a + 4*a + a wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -126785 in descending order.\nAnswer: 4, 2, -4, -126785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 192\/19 and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -48062234?\nAnswer: 48062233.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**6\/24 + s**5 - 13*s**4\/4 + 7*s**3\/6 + 53*s**2\/8 - 17*s\/2 - 170. Suppose b(i) = 0. What is i?\nAnswer: -1, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31.467817 and -2.\nAnswer: -33.467817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 39*l**2 - 15*l. Let f be a(-15). What is f rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 45*r**2 + 41 - 57)*(-4*r + 4*r - 3*r).\nAnswer: -135*r**3 + 69*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 w, and 1 f when four letters picked without replacement from fwmwmwmwwwbmmbbw?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1569, -3134, -4699?\n\"Answer: -1565*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 10*n**2 - 9*n - 7. Calculate the remainder when f(11) is divided by 8*(-1)\/(0 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 531 - 519. What is the remainder when 59 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 465?\nAnswer: -12\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 2. Let h = 6.4 + 0.6. Let s = h + -12. Sort c, s, 0 in descending order.\nAnswer: 0, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -17*x. Let d(g) = -g + 2. Suppose 42 + 6 = 12*a. Let q(b) = -3*b + 4. Let l(y) = a*d(y) - 2*q(y). Calculate l(z(s)).\nAnswer: -34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -21, -54, -101, -162, -237, -326?\n\"Answer: -7*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 217537337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-843)\/(-1967))\/((-30)\/(-35)*5)*-14.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030721 is divided by 911.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4 = 2*d, -706*d + 701*d + 10 = -3*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1673, -3422, -5171, -6920?\nAnswer: -8669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -6, -2 in increasing order.\nAnswer: -22, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**4 - 860252*x**3 - 3576*x**2 + 30*x - 4?\nAnswer: -48*x - 5161512","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 2*l + 1. What is h(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*m = -12, 2*c + 2 - 12 = 3*m. Find the second derivative of -t + t + 4*t + 4*t**c wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - 9. Suppose 2 = 3*s - y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5\/3 - 116*d**4\/3 - 316*d**3\/3 + 2566*d**2\/3 - 3715*d\/3 + 1582\/3 = 0?\nAnswer: -113, -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 5*c**2 + 5*c + 6. Let p = -2251 + 2257. What is l(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 36 = -l. Let h be 0 + (-3)\/l*-8. Solve z - h + 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six thirds of a decade in months?\nAnswer: 3440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438881660?\nAnswer: 2, 3, 5, 7993787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011110010110001101 (base 2) to base 3.\nAnswer: -2012120212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqbcqbbktatcqtq. What is prob of picking 1 k and 1 c?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*x = -7*a - 22, 3*a + 2*x = -19. Let f be (a - -4)\/(2\/(-1)). What is the third smallest value in 3, 0.3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 112*p - 22 + 7*p + 0 - 3 + 4. Let i(h) = 30*h - 5. What is -5*f(x) + 21*i(x)?\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 3*n**2 + 13*n - 19*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-20)*25\/(-25)*7*14\/2058?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-60)\/(-35))\/(-6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cce when three letters picked without replacement from ycyegccggyy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2320\/68) + 15*20\/2550.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (-1484)\/(-28) - -21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85738575 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -658, -650, -642, -634, -626, -618?\n\"Answer: 8*a - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -39*t**2 - t + 1. Let z be w(1). Let k = z - -98. Calculate the remainder when k is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(176)*3 + sqrt(176))**2 + -3 - ((-6*(1*sqrt(88) + sqrt(88)))\/(sqrt(8) - sqrt(32)\/sqrt(4)*-6 - sqrt(8)))**2)*-6.\nAnswer: -51462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000 + -10110100?\nAnswer: -1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**3 + w**2 + 4*w**2 - 3*w**2 - 60*w**3 + 7*w**2 to o*w**3 + t + x*w + d*w**2 and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 210969.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.332134 rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c + 4. Let v(a) = -a - 1. Suppose 3*k - 5 = -2*k. Give k*l(n) + 6*v(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2605 (b) -2\/7 (c) -3637\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15554*i - 5. Give b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5381*w + 1. Let j(r) = 7 + 57*r**2 - 56*r**2 - 7. Determine d(j(f)).\nAnswer: -5381*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + i + 61 = -5*m - 393, -297 + 41 = 2*m - 74*i for m.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -294 - 94*o**2 + 67*o + 58*o + 63*o - 187*o wrt o?\nAnswer: -188*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163.64 + 165. Let o = 1.405 - h. What is o rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 24*d - 6. Determine v(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 3*q**2 + 18 - 17 + 6*q**2 in the form i + p*q**2 + b*q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -94*x**2 + 2*x - 1. Let a be v(1). What is the units digit of -2 - (a\/3 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*k = -1 - 16, t = -k + 5. Solve t = l + l + a, -5*l + 9 = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 186571203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 2*a - 5*a + 3*a. Let h(x) = 37*x. Determine n(h(b)).\nAnswer: -111*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v - 2. Let y be w(-2). What is the second derivative of 0*c - c**2 + 3*c - c + y*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 641 + -2237419792\nAnswer: -2237419151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -94, -217, -400, -649, -970, -1369?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 - -3.3. Let x = 0.07 + 2.43. Let y = x + -2. Put 6, s, y in decreasing order.\nAnswer: 6, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447511?\nAnswer: 23, 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 1245 = 0. Suppose -753 = -3*l + n, -5*l + a = -0*l - 5*n. Calculate the highest common divisor of 63 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -2*o**3\/3 + 2*o**2 + o. Let b be v(-9). Suppose -8*u + 4*u = -b. 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: Solve -16*l = -11*l + 5, 7*o + 3*l - 25 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 982167047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s**2 + 152*s**2 + 91*s**2.\nAnswer: 303*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 2*v - 4. What is c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + 45. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 h when four letters picked without replacement from kkkshhhkckksh?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7130 - -7127. Let f = -1 - -0.8. What is the biggest value in f, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43822 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 11*y**9\/252 + y**5\/3 + 21*y**2. What is the third derivative of u(i) wrt i?\nAnswer: 2640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a**2 + 970*a + 35. Let n(j) = -j**2 - 57*j - 2. Give -35*n(w) - 2*t(w).\nAnswer: 5*w**2 + 55*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/97896 and -67\/195792.\nAnswer: 195792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, v: 3}. What is prob of sequence ccc?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -630, -1155, -1508, -1605, -1362?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2*n + 1. Suppose -118*m + 4*i = -122*m + 396, i = 3*m - 305. Calculate the remainder when m is divided by d(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3560 + -2451. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1655, -1807, -2063, -2423, -2887?\n\"Answer: -52*z**2 + 4*z - 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 4. Let r be g(-6). Let k be 1\/(-1) + 1 - r. Determine i so that 0*i**2 - i**2 + i**3 - i**k + i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -7.62 (c) 2495\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -100)*-2*(0 - 1). Let t = -82 + n. Is t 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 -9152392, -9152390, -9152388, -9152386, -9152384, -9152382?\nAnswer: -9152380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 191322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1312, 0, 1, -0.1, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-13*u + 52*u - 29*u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 2*q**3 - 4*q**2)*(-444 - 523 - 384)*(-4 - q + 4).\nAnswer: -2702*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxla when four letters picked without replacement from xlvlxlalllxxalxlzxaa.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 2*n**7\/21 + 4*n**3\/3 + 37*n**2 - 14*n. Let m(x) be the first derivative of y(x). Find the first derivative of m(h) wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a hour?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:59 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**2 + 299380*i - 9883896 = 0.\nAnswer: -74878, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 - m**4\/24 - 5*m**3\/6 - 13*m**2. Let x(l) = l**3 + 43*l**2 + 195*l + 195. Let w be x(-38). Determine u(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-11) - 24\/(-11). Let n(c) = 5*c**2 - 6*c**d + 4*c**2. Let u(i) = 3*i. What is n(u(h))?\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -47. Let x = 0 + -0.2. Which is the closest to g? (a) 0.2 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22155 divided by -7.\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160.891524 - 0.003934.\nAnswer: -160.895458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756135 and 4860.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 20*j**2 + 3207*j - 3599. What is x(-162)?\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(sqrt(75) + 4)**2*5.\nAnswer: 400*sqrt(3) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w + 2 + 17*w - 20*w - 2.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l**2 - l - 1. Let n(w) = -4*w**3 - 8*w**2 + 5*w + 7. Let m(g) = n(g) + 5*q(g). Let j = -5 + 7. Suppose a - j = 1. Calculate m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 12*g - 16. Let d be w(-13). Let y be 18 + (-4 - d) - -3. Solve 0 = 4*u - 4*f + 16, 5*u + 2*f = -f - y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4)\/(1496\/44)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10866.650415 rounded to the nearest 100?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*i + 65*i = -900 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*c**6*j - 3*c**6 - 78*c**3 + c**2 + 989*c*j wrt c?\nAnswer: 4440*c**3*j - 360*c**3 - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:45 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qamkbkkbamkkqkmnn. What is prob of sequence mnqq?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -611, 3, 2 in ascending order.\nAnswer: -611, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 334*o**2 + 625*o - 208784. Determine g(334).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 69442.2?\nAnswer: -69424.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/378)\/((-96)\/224*(-2)\/198)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19*r*r\/r**(1\/2)*r)\/(r**(4\/21))**(-23) assuming r is positive.\nAnswer: r**(1087\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-35) - (-4)\/10. Let b(g) be the third derivative of -1\/105*g**5 + 2*g**2 + 0*g - 1\/84*g**4 + f*g**3 + 0 - 1\/420*g**6. Factor b(u).\nAnswer: -2*u*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 1155\/(-1 - -12))*7\/(-1). Calculate the greatest common divisor of 107 and p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*o + 103*o - 4446 = 0. Calculate the greatest common factor of o and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 11. Let r(x) = x**2 + 1. Let d be r(2). Suppose 5*l - 10 + 0 = s, 10 = s + d*l. Let t be i(s). Calculate the greatest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2496 and 24?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - i + 1. Let q(j) = -j**2 + 7*j - 4. What is the remainder when q(4) is divided by u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*p + 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - -2.4. What is the biggest value in 3, k, 2, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 2*l**2 + 1\/350*l**7 + 0*l**4 + 0*l**6 - 3*l - 1\/25*l**5 + 0*l**3 + 0. Let v(t) = 0. What is t?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.3. Let j = 0.11 - -0.39. Sort l, j, 1.\nAnswer: l, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 154061*x**2 - 78295*x**2 + 2 - 78665*x**2 in the form c + o*x + p*x**2 + a*x**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 10) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 19618164 = 15*g. Suppose -f + 106051 + g = 0. What is f rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.189 - -0.189. Put g, -27, 0.3 in decreasing order.\nAnswer: 0.3, g, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -164, -274, -404, -560, -748?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 + 51*p = 0. Calculate p.\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 3 + 6\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171290?\nAnswer: 2, 5, 7, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2 + (-48)\/16. Suppose 2*y - 5*d - 95 = 10, 2*y - 2*d - 120 = g. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38748241207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1826994, 1827071, 1827150, 1827231, 1827314, 1827399, 1827486?\nAnswer: 1827575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 26*z**2 + 27*z - 12. Calculate x(-27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -11. Let p be (2\/(-4))\/((-1 + 0)\/s). Let b = -12\/49 + 75\/49. Are b and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 49. Suppose -25 = -5*l - 3*r, -2*l + 6*l = -5*r + c. Solve -2*n + n = l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = 4*p + 4*c, -1770 = -5*p - 4*c - 806 - 755 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257657050*f + 250590937 with respect to f.\nAnswer: 257657050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*d + 6*j - 2435, 2*j = -d - 502. Let w be (d\/(-2))\/(4\/86). Let c = -3089 + w. What is c rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/9 + 4)*(-4 + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508728 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1540388 and 95391?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 4, -n + 5 = v - 4 + 3 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + 106 - 45 - 71.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = 2*u - 43, 0 = 4*u + 3*k - 151. What is the highest common divisor of u and 2482?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/272884 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 0*v + 12. Suppose 2*d = -2*d - m + 20, 4*d = -v*m + 20. Suppose 2*t - 7 = -3. Solve y - i - t = 5, y + d*i + 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + -1*sqrt(176) - (sqrt(176) + -2 + 0)**2) + (-1 + ((sqrt(176) + -1)**2 - sqrt(176)))*-3).\nAnswer: -192*sqrt(11) + 2824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 2244660*g.\nAnswer: -3*g*(g + 748220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v - 3*v + v + 2. Let s be r(2). Let n be 4\/s + 44\/(-10). Which is smaller: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70353, -70318, -70283, -70248?\nAnswer: -70213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74742 or -74739?\nAnswer: -74742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5719\/3 - 1924. Let y = 1031 - 1049. Is d not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3 + 7*z + z - 5 - 6*z. What is j(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/81)\/((-2)\/87) and 93\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -21*k**3 - 3*k**2 + 3*k + 3. Let l(i) = -5*i**3 - i**2 + i + 1. Let z(f) = -2*j(f) + 9*l(f). Factor z(a).\nAnswer: -3*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103709630 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/9)*k*k**(-5)\/k)**13\/(k**(-4\/3)\/(k\/k**8)*(k\/k**(-7))\/((k**(5\/4)*k)\/k)) assuming k is positive.\nAnswer: k**(-2995\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 3a8c?\nAnswer: -3a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q. Let v(y) = 11*y - 1. Calculate v(w(t)).\nAnswer: -110*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/99)\/(2*-7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 74*t**2 - 10*t + 10. Let u(v) = -52*v**2 + 7*v - 7. Let g(x) = -7*i(x) - 10*u(x). Let p(d) = 927*d + 1. Give g(p(b)).\nAnswer: 1718658*b**2 + 3708*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-17\/5))**(2\/71) assuming f is positive.\nAnswer: f**(-34\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 3 + 0 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 89*k + 107. Let l(b) = -45*b - 53. Let a(q) = 5*l(q) + 2*z(q). What are the prime factors of a(-13)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.249999835 - -4.25. What is o rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/(f\/f**(1\/10)*f))\/(f**(-13)\/(f*f**(3\/5))) assuming f is positive.\nAnswer: f**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-150))\/(((-120132)\/235)\/(-71)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 40\/(-15))\/(10\/(-75))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.7 - -3.7. What is the closest to 2 in 1\/6, z, 13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 115 - 6512\/(-176)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47778245 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/8*(25 - 1). Suppose 2 = 16*c - x*c. Let j(b) = 3*b**3 - 2*b - 2. Let u be j(c). Let w(q) = q**3 + 2*q**2 - 2*q + 3. Determine w(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76975 - 2*m + 18*m + 76970)*(-2*m - m + 1 - 3).\nAnswer: -48*m**2 - 17*m + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 660465654 + -3?\nAnswer: 660465651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*z + 75*z - 4*z**3)*(-4 + 1 + 1) - 4*z**3 - 11563 + 6*z + 11566 - 3*z to r*z**2 + q*z + h + v*z**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6165586 is divided by 2055173.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 greater than or equal to -4.91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c4 - 3?\nAnswer: -5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 9*g = 10*g + 114 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, and 2 y when four letters picked without replacement from ppplyplppyplll?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 10. Suppose -n = -8*n + 392. What is the remainder when n is divided by h(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -5\/3*k**3 - 6*k + 0 - 1\/12*k**4 + 3\/2*k**2. List the prime factors of g(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19683*f - 40128 with respect to f.\nAnswer: -19683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 88321*a\/2 - 176643\/4.\nAnswer: (a - 176643)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4729*q**2*v**3 + q**2*v + 66*q*v**3 - q*v**2 - 2776678*v - 1 wrt v?\nAnswer: 28374*q**2*v + 396*q*v - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 163 - 467. What is the greatest common divisor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 = -6, -t = 3*o - 12. Suppose o*b + 2 = 22. Suppose p = -3*g + 51, 0 = -b*g - 7*p + 3*p + 76. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124027496 to the power of 1\/2, to the nearest integer?\nAnswer: 11137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59415.\nAnswer: 3, 5, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1385400 or 478?\nAnswer: 1385400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1940.3 + -1940. Sort 0, -2\/3, t, -4\/3, 1\/4.\nAnswer: -4\/3, -2\/3, 0, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.776*-0.4.\nAnswer: 0.3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**4\/24 + 2850*n**2. Let a(l) = -1155*l**2. What is p(a(x))?\nAnswer: -1155*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 5313 = 1101. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 2:12 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025002 rounded to five decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2721 in -4, -1\/2, -2\/47, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 - 2 = 0. Suppose q*l - 15 = -0*l. Solve -5*x + 1 = -4*w + 5, 0 = -l*w - x - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 19*x = 20*x + 169, -848 = -5*b + 4*x. Calculate the greatest common divisor of 774 and b.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**5*z + 152*d**5 + d**2 - 3*d*z + 2745*z wrt d?\nAnswer: 80*d**3*z + 3040*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2340 - 1521. Suppose -2*b - 180 = -5*n - m, -5*n = 2*b - 649. What are the prime factors of b?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4453 - -4465. Calculate the least common multiple of 507 and n.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 3)*(-1)\/1*-3. What are the prime factors of 2\/f*(20040\/(-8))\/(-5)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by 6\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 138960923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -158, -3\/8 in decreasing order.\nAnswer: 2, -0.3, -3\/8, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4\/3, -0.194, -4?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 11. Let v(f) = 2*f**2 + 4*f - p + 1. Is v(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 13*y**2 - 4*y - 27. Let x be i(-13). Calculate the greatest common factor of 10 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*3\/12*24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1771946 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-4\/13))\/s*s**(1\/38))**(-2\/33) assuming s is positive.\nAnswer: s**(-355\/8151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 6*f**2 - 5*f - 4. Let u be y(5). Let g = -0.3 - -0.2. Let o = g - -0.4. What is the third biggest value in u, o, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 5*h - 810. Suppose q - h = -2*q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - 1) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*h - 18 = 0, 4*k - 4*h + 8 = -0*h. Solve -a + 3 = -k*z, -4*a = 2*z + 3 - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) + (2 - 22\/10).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*i + 3*i + 7, 0 = -2*i - z + 6. Solve 2*n - 3*a + i + 1 = 0, -4*a = 4*n - 36 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 17*k**2 - 12*k + 13. What is f(7)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/(u\/(u*u*u*u*(u**(-5)*u)\/u)*u)*u**(3\/4)\/((u\/u**(2\/19))\/u))**(2\/105) assuming u is positive.\nAnswer: u**(-29\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -66791 divided by -1\nAnswer: 66791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 - (-14)\/3. What is the third derivative of -265*b**6 - 20*b**2 + b**g - 31*b**2 + 257*b**6 wrt b?\nAnswer: -960*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5 + (-1 - -1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -193, -1569, -5357, -12781, -25065, -43433, -69109, -103317?\n\"Answer: -204*o**3 + 18*o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 48 = 5*y, 5*p + 4*y = 2*y + 80. Suppose -5 = -4*m + a + 29, 0 = -5*m - 4*a + 32. Calculate the smallest common multiple of p and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 59*r + 53. Let i be n(6). What is the highest common factor of 37 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4\/7 - 4818*r**3\/7 - 25968*r**2 + 9566208*r\/7 - 86593536\/7 = 0. Calculate r.\nAnswer: -1566, -72, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:56 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:21 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 + -2.6. Sort -3\/8, l, -4\/5, -1.\nAnswer: -1, -4\/5, -3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 210133033?\nAnswer: -210133121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1635 - 72?\nAnswer: -16a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -584495*s*z**2 + 365*s*z + 188828*s + 3*z**4 + 2*z - 2 wrt z?\nAnswer: -1168990*s + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -4 + 0*c**4 + 0*c**2 + 1\/3*c**3 - 1\/10*c**5 - 1\/2*c. Solve o(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k - 5*k - 280. Let a(p) = -p + 3. Let i be 2\/4 + 6\/(-4). Let z = i - -7. Let o(r) = -2*r + 7. Give k*a(x) + z*o(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 - (-147 - -150).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**23)**(-5\/3)*(t\/t**5*t)\/t*t\/((t*(t*(t*t*t*t**(-29))\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129014\/15 >= 8600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2121, 0.06, 0.5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 0*c**3 + 0*c**3)*(-30*c + c + 2*c) + 18 + 10*c**4 - 18.\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.1492 centuries to millennia.\nAnswer: 5.51492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14013761\/855 - -81946\/5. Let f = -10\/9 - l. What is the nearest to -1\/2 in -3\/2, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208897187?\nAnswer: 47, 4444621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85\/54 - -2\/27. Suppose 27 + 63 = -9*c. Let d be ((-4)\/c)\/((-5)\/(-150)*-3). What is the closest to p in 5, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (189974*k**3 + k - 2*k - 189962*k**3)*(1 + 2 - 1) to c*k**2 + g + i*k**3 + z*k and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c + 5. Calculate z(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-6 + 4 + -1)) + (111 - 114)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -18, -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = -24*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -258 (b) -2\/3 (c) 4\/3 (d) 0.1 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, h: 12}. Give prob of sequence hqq.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 77\/24 - 5\/(-15)*6. Let f(i) be the first derivative of -3 - a*i**4 + 50\/3*i**3 + 32\/3*i - 20*i**2. Factor f(w).\nAnswer: -(5*w - 4)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*j + 5*w - 4, -3*j - 8 = -4*w. Suppose -4*u = 8, 3*g + j - 15 = u. Suppose 5*n = -3*x + 28, 4*n = -x - 0*n. Solve g*s + s = -x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(77)*3)\/(-6*sqrt(11)*-3))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 10*l**2 + 8408*l - 83080.\nAnswer: -2*(l - 62)*(l - 10)*(l + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by -50150?\nAnswer: -93\/50150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-19*(-1067)\/4268.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(261\/(-116)*(-12)\/3)*(-1)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.31347 + 5.11347. Sort -22, o, 0.5, -1.\nAnswer: -22, -1, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 3. Suppose h*o - 240 = o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(25)\/sqrt(45)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 71*d**2. Let g(h) = -4*h**3 - 73*h**2. Calculate -5*g(r) - 6*j(r).\nAnswer: -4*r**3 - 61*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 421792 to the nearest 1000.\nAnswer: 422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + w)*(5 - 5 - 1) + 3 - 3 - w + 4*w + w + 3*w + (-w - w + 0*w)*(2 - 4 + 0).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 489030\/(-16301)*26\/(-15)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4736 is divided by 674?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 2*x)*(-14 - 29 + 12).\nAnswer: 62*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n - 3. Suppose s + r - 9 = 0, 2*r - 25 + n = -3*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 3\/2*120\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6803436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - ((-7)\/1 - -1). What is the common denominator of (-140)\/420 + (-302)\/(-96) and (-431)\/(-40) - 2\/b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.5, 3\/4, -0.6, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000087242 rounded to 7 decimal places?\nAnswer: -0.0000872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106908999 is divided by 35636324?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6189.\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/60 + 25*i**4\/24 - 6*i**3 + 6*i**2. Does 15 divide n(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 17 - 7 = 0. What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11100341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/338 and 95\/22.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2697649 to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.01 + -28569.\nAnswer: -28571.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q*q\/q**3)*q)*q)\/(q\/q**(-3)))**(1\/35)\/((q**1)**(-10\/17)*q**2\/q**7) assuming q is positive.\nAnswer: q**(3257\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, -210, 11, -1, 257 in ascending order.\nAnswer: -210, -2, -1, 0, 3, 11, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:34 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -71472.\nAnswer: -929136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 999040.1 millilitres?\nAnswer: 999.0401","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 9001 a factor of 2566491134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6230704306 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3\/4, 1\/6, 1, 8, -670, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1026 and 2185?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1081407 and 1324615?\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209695 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l*l**(-2\/27)*l)))\/(l\/(l**(2\/3)*l*l)) assuming l is positive.\nAnswer: l**(124\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 10:19 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 34. Find the common denominator of -69\/40 and p\/(-12) + (1 - (-339)\/(-63)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -43. Let c be 26\/z*-1 + 4. Which is bigger: c or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11573 or 11575?\nAnswer: 11575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-10)*(-35*34 - 0). Suppose -5*z + l = 2*r, -3*z = -3*r - 4*z + 2142. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185880379?\nAnswer: 185880379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -2\/5, 161, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -48.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c - 3. Let l(o) = -13*o + 2. Determine -4*l(j) - 3*v(j).\nAnswer: 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 23. Let r be (q\/(-55))\/(10\/(-50)). What is the closest to 2\/23 in 5, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {m: 3, e: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1259374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(152) - -3*sqrt(152))\/sqrt(8)) + -5.\nAnswer: -3*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 14) to base 4.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8137 and 0.28.\nAnswer: 2278.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + 5*sqrt(448) + 1) - sqrt(448)) + sqrt(448) - sqrt(448).\nAnswer: -48*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101211101 (base 3) in base 11?\nAnswer: 5a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 5:49 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-23.68.\nAnswer: -28.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, -1, -1\/17, -0.5, -106?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 33 = 4*j, -3*j + k + 11 = -0*j. Suppose b + 33 = 5*p, 3*b + p + j*p = -9. Are -7 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*4\/(-90) - 0\/(-3). What is the second smallest value in -1, 0.3, -8, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - -79. Differentiate -2*s**3 + 107 - 10*s**3 - x with respect to s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -5\/48*h**4 + 3\/40*h**5 + 0*h + 1\/210*h**7 - h**2 + 0 + 1\/12*h**3 - 7\/240*h**6. Determine o, given that u(o) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1. Let u be r(3). Suppose -u*f + 12 = -5*s, 3*s + 24 = 2*f + s. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -40*k**2 + 33*k**2 + 6*k**2. Let m(i) = -620*i. What is w(m(p))?\nAnswer: -384400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -0.01. Let k = -0.33 + t. Let j = -147299.1 - -147299. What is the closest to 0.06 in k, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/18*18\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6575114 equal to -6575115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4\/4 - 17*x**3\/2 - 7*x**2\/4 + 45*x + 9 = 0. Calculate x.\nAnswer: -2, -1\/5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*h**2 - 1055 + 2117 - h - 1063)*(-h - 2*h - h) to l + q*h**2 + u*h**3 + s*h and give u.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) -11 (c) 2\/26453 (d) 5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6105 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/50)\/((-1)\/(-45)))\/((-3)\/4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 7*p + 5. Let g(u) = -u**3 + 18*u**2 - 16*u - 9. Let t be g(17). What is the remainder when h(t) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -38. Let b be (-50)\/(-4)*1284\/r. What is b rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 101, 150, 189, 212?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/5647 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 9:10 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 380 and 6011885.\nAnswer: 24047540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 86707978?\nAnswer: -86707973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -59. Suppose g*f = 23*f - 3. Suppose -36 = -q - f. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1. Let h(t) = -t. Determine 5*c(j) + h(j).\nAnswer: -j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6584*m**2*s**2*u - 62*m**2*s*u - m**2*s - 6*m*s*u - 3*s**2*u - 3*s*u wrt s.\nAnswer: 13168*m**2*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4818 is divided by 241.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9057.762 + -9048. Let u = -9.9 + r. Round u to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 >= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(14\/6)\/1. Suppose 4*k - y = 9. Suppose 3*d - 2*z - 7 = -z, 2*d - k = z. Calculate the remainder when 4 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (6 - 5) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12110 by -69.\nAnswer: 12110\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 351 and 1339.\nAnswer: 36153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -93 + 84 + -2 + 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5715475 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3546 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**4\/24 - 2*z**2. Suppose w - 11 + 9 = 0. Let a(g) = 32*g**2 - 88*g**2 + 28*g**2 + 22*g**w. Calculate f(a(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 + -7 - -1) + 7 - 2) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840170469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/120 + k**5\/3 - 4*k**3 - 12268*k**2. Calculate r(-20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {v: 2, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 - 1265 = 143*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 57. Suppose -s*z + 68 = -7*z. Let r = z + -12. Sort 2, r, 3, -4.\nAnswer: -4, 2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*b + 2 = 2*m, -m - 5*b - 11 = 0. Let c be (1 - 0)\/(2\/20). Let y = m - c. Sort -4, y, -5 in ascending order.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/248194 and 49\/1365067.\nAnswer: 2730134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846 divided by 74?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + ((-38)\/(-6) - 49\/(441\/(-24)))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -46*d - 413. Let z be r(-9). Let t be 2 + (-64)\/(-4)*-74. Let q = t - -124112\/105. Which is greater: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-191.5\nAnswer: 19.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/288052 and -39\/2828.\nAnswer: 2016364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104, -185, -266, -347, -428?\n\"Answer: -81*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8673, -8829, -9089, -9453, -9921, -10493?\n\"Answer: -52*v**2 - 8621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**5 - 3*w**5 + 2*w**5 + (6*w**2 + w - w)*(0*w**3 + 3*w**3 - 4*w**3).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-3408)\/6390.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 4*m - 663 = 0. Let u = -4 + m. What is the remainder when (-26819)\/(-143) + 6\/(-11) is divided by u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.2614674 rounded to zero dps?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 1461, 3285, 5839?\nAnswer: 9123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d = -22*d + 63 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 + 1184 = 131*z. Solve z*i - 3*c = c - 4, 4*c = -5*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 280 = x, 0 = -4*x + 2*g - 2844 + 2914 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 19*m - 86. Let c be j(12). Let k(y) be the second derivative of -y**4\/12 - y**3\/3 + y**2 - y. Determine k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7881*r**5*s + r*s + 446*r + s + 2 wrt r?\nAnswer: -157620*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (-5*sqrt(68) + 0 - sqrt(68)) + sqrt(68) - sqrt(68)) + -2*(sqrt(68) + -5 + sqrt(68) - sqrt(68) - sqrt(68)) + sqrt(68))**2.\nAnswer: -160*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 1 + -4*(-1)\/(-4). Suppose 2*g = -3*y - 0*g + 86, 0 = 2*y - k*g - 70. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8*c + 33 = 0. Solve q = -4*a + 11, -c*a + 2*q + 2 = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2338*0.078\nAnswer: 182.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -436627.62 + 0.4.\nAnswer: -436627.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1070\/150 + ((-2)\/15 - 0). Suppose -42 + 189 = t*j. Calculate the remainder when 80 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 - (17 - (8 + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 + -827\/6. Put 2, 0.1, r in increasing order.\nAnswer: 0.1, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:13 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 + -8209.\nAnswer: -8187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Suppose d*g + 2*g = 25. What is the nearest to 1\/4 in 0, -3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -134. Is g*4*2\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*x = 3*x - 66, -x = -4*c + 88. Suppose -20 = -c*n + 18*n. Suppose 0 = j - 3*j + 2. Solve w + j = 2*i, -n*w + 5*i = -5*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -22*h - 1. Let x(r) be the second derivative of r**3\/6 + r + 13. Calculate m(x(s)).\nAnswer: -22*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*w - 587 - 341 = 712 - 74 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 - 61 - 14)*(-1 + 1 + 2*w) + 2*w + w + 2*w to the form p + x*w and give x.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**5\/2 - 3998*v**4 + 665357*v**3 + 835756526*v**2 - 2007455775*v\/2 + 167310000 = 0?\nAnswer: -352, 1\/5, 1, 975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15747, -62962, -141653, -251820, -393463, -566582?\nAnswer: -771177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 17.511.\nAnswer: 14.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 60. Let y be x(0). Calculate the highest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 0*u - 13*u**2 + 9*u**2)*(0*u - 4*u + 5*u) to the form h*u**3 + i*u + p*u**2 + o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -60*u - 3757. Calculate v(-62).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 4\/(-20). Suppose o = 2*a - a - 3. Suppose -b = -14 - a. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*y + 17 = 5*b, -4*y = 43*b - 43*b - 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 + 5*j + 3. Let d be v(-5). What is the second derivative of -3*k**4 - k**4 - d*k - k wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7877048 and 2921?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -433393.85 and 1089.\nAnswer: -432304.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2054 + -2059. Suppose 0 = 2*n + v - 58, 3*n - 145 = -2*n + 3*v. Suppose 3*w + w + n = 5*a, 5*w + a = 0. Sort w, 0, q in descending order.\nAnswer: 0, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o - 5. Let s(d) = -15*d + 11. Let t(x) = -13*j(x) - 6*s(x). Let u(f) = f. Let l(g) = -4*g - 6. Let q(v) = l(v) - 4*u(v). Determine -q(h) + 6*t(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*p = -20, -9*r + 2255*p - 2251*p + 48 = -5*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + -28 + (-49 - -77)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 1 = -2*a + 15*z, -z = -2*a - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(18*l + 105*l - 420*l - 136*l + 2).\nAnswer: -866*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12070 (base 14) to base 7\nAnswer: -242200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((2849\/22)\/(-37))\/(7\/(-46))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1\/14 (c) 0.00713 (d) -64 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -58, -100, -146?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3407819997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345 and 1950.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/300)\/13*12\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, -12 in decreasing order.\nAnswer: 12, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 305*u + 1555 + 2410 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 5. Suppose -2*f + 5*c - 14 + 4 = 0, 5 = -f - 4*c. Calculate v(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:24 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23829209800 - 4*f**2 + 23829209800.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010011212110 (base 3) in base 16?\nAnswer: -29803b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/54 and -17\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*g + 698, -425 = -2*k + 4*g + 305. What is the remainder when k is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0943778 meters to millimeters.\nAnswer: 94.3778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:51 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 d, and 1 f when three letters picked without replacement from {w: 1, u: 3, f: 2, d: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/((-9)\/(-6))*594\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 13. Calculate the remainder when 48 is divided by s(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2 + 1)\/(7\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 2*l - 27*l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 44.5. Which is the third smallest value? (a) 11 (b) 1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.1. Let v(f) = f**3 + f**2 + f - 1. Let l be v(0). Let p = -2 - -2.1. Which is the nearest to l? (a) 0.5 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 81. Calculate c(28).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553969398.\nAnswer: 2, 3, 23, 4014271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98978\/9 + -692828\/63. Factor o*f**2 + 0 + 34\/7*f.\nAnswer: 2*f*(f + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.38 + -3.38. What is the nearest to -1\/5 in q, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -21*w - 70. Suppose -7 = 4*o - 3*o. Let d be s(o). Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 49.5. Let n(k) = -k**3 - 2*k**2 - 10. Let u be n(-3). What is the second smallest value in s, 1\/3, -0.2, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13862, -14452, -15042, -15632, -16222, -16812?\nAnswer: -17402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2052684 by 36.\nAnswer: 57019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose -2*y = -4*o + 30, 2*y + d*o + 54 = -0*o. Is -2 + 0 + 2 - y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 15 = -7*a. Let i be 36\/45 - 4\/a. Suppose -q - 24 = 3*t - 152, 2*t - q - 82 = i. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*v + 1. Let f(i) = 2*i. Let r be f(v). What is the first derivative of w**3 - 2 + r + 4 wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002888236 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*24.4.\nAnswer: -7.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u**11\/u)\/u)*(u\/u**(-11))\/u*u**(-8)\/(u\/(u**(-2\/31)\/u)) assuming u is positive.\nAnswer: u**(-219\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9714 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48506 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:21 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41983 + -41982.7. What is the second smallest value in h, 10, 0.187, -1\/2?\nAnswer: 0.187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 11*t**2 + 9*t - 11. Let y be h(-10). Let a(s) = -14999*s**3 + s**2 - 2*s - 2. Let v be a(y). Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-385)\/63 - -6)*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvd when three letters picked without replacement from {v: 3, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*c - 960 + 5081 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 37 = 3*n, -50*a = -51*a + 4*n - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 62*h**2 - 36*h**2 - h**4 + 114*h**2 + 3*h + h**3 in the form l*h**4 + f*h**2 + g + i*h + y*h**3 and give f.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 + 32*i**2 - 296*i - 2176\/3.\nAnswer: -2*(i - 34)*(i - 16)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*s + 1965 - 1037 + 1557 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 3, b: 3, q: 5, o: 7}. Give prob of sequence ob.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 + 213. Let c be (-4)\/(-6) + (-8)\/(-6). Find the third derivative of 4*k**w - c*k**6 + k**6 - 6*k + 6*k wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d + -1736a9?\nAnswer: -17367c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929361 is divided by 701.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 726667.8 months in years?\nAnswer: 60555.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 66210144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 12*i**2 - 196*i + 615. Give t(13).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 45 = -u, -6*u - z + 65 = -3*u. Solve 0 = 4*l - 0 - u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 325.564 - 326. Let c = z + 0.436. What is the third biggest value in c, -5\/3, -3\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11008463659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2655 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1755*-0.1\nAnswer: -175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/(-12))\/(-2) + (-654)\/(-9).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7906 + -4017. Suppose -17*l = -1551 - o. What is the highest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 6*h. Let v(w) be the third derivative of w**5\/30 - 7*w**4\/24 - 6*w**2. Let t(a) = 6*v(a) - 7*x(a). Let m(y) = 18*y. Give t(m(n)).\nAnswer: -648*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -9. Let n = 0.1 - -0.1. Sort p, 4, n.\nAnswer: p, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35, -57, -81, -107, -135, -165, -197?\n\"Answer: -w**2 - 19*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*2.360494\nAnswer: -7.081482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n**5 - 265*n**4 + 1230*n**3 + 440*n**2 - 7680*n - 2560 = 0 for n.\nAnswer: -2, -1\/3, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 8*n + 5. Let r be l(9). Let h = 119 + r. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5069?\nAnswer: 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*h + 13 = -25, 3*h = -3. Let j = f - -36. What is the closest to -5 in -2\/23, j, 1\/6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 59*x**2 - 152*x + x**2 + 14*x - 48*x.\nAnswer: -52*x**2 - 186*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 4*g**5 + 4\/5*g + 12*g**4 + 24\/5*g**2 + 2 + 184\/15*g**3. Let i(c) = 0. What is c?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 83*r**2 + 5*r + 3. Let d(h) = h**2 - 1. Suppose 0 = 9*a - 5 - 4. Let w(i) = a*l(i) + 3*d(i). Find the second derivative of w(b) wrt b.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*d = 1, -8*f = -3*f + 5*d + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35899541857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*x**4 + 17*x**4 - 8*x**4 + (-2 + 2 - x)*(-x**3 + 3 - 3) in the form d + l*x**4 + g*x**3 + k*x**2 + t*x and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 2*y**2 + 10*y**2 + 6*y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8270 - -8375. Is 13 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 - 6 + 4 - z**3 - z**4 + z**3 as u*z**4 + q*z**3 + f + p*z**2 + o*z and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 + 6*r**2 + 12*r - 39. Let s be i(5). What is the greatest common divisor of s and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 = -a. Sort a, 1, -3.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 + 48 = 0. Let j = i + 29. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 - 47*w + 65. Let c(i) = -13*i**3 - 148*i + 195. Determine -6*c(n) + 19*m(n).\nAnswer: 2*n**3 - 5*n + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a = -46*a + 165. Let q = a - -35. Solve -1 + 1\/2*g**3 + 0*g**q - 3\/2*g = 0 for g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 75*a**2 - 63*a + 10. Let l be y(-38). Suppose -16*n = -4*n - l. What is the remainder when n is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 981, 4059, 9215, 16443, 25737, 37091, 50499, 65955?\nAnswer: 83453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**6\/(l**(-2\/37)*l) assuming l is positive.\nAnswer: l**(187\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362970 divided by 12099.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(7) + 4)**2.\nAnswer: -14*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, b: 8}. What is prob of sequence bbbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -150, 9, 1, -7.\nAnswer: -150, -7, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-380 - -5) + 5)\/(((-77)\/84)\/11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 400145*h\/2 - 8203813.\nAnswer: (h - 41)*(h + 400186)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -50*m**3 + 6*m**2 + 5*m. Let u(z) = -25*z**3 + 3*z**2 + 3*z. Give 3*p(n) - 5*u(n).\nAnswer: -25*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 90 = -3*z. Let w be (-26)\/52 - z\/(-4). Differentiate 2*d**4 - 10 - 8*d**w + 2 + 3*d**4 with respect to d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 7315*w - 1 + 7316*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230121.\nAnswer: 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11135, -19264, -27391, -35516, -43639, -51760, -59879?\n\"Answer: n**2 - 8132*n - 3004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/7)\/(v*v*v*v**(-7)*v))\/(v**(-2)*v*(v*(v*v**(-5))\/v*v*v*v*v)\/v))**(2\/95) assuming v is positive.\nAnswer: v**(72\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.6, 0.5388, 1\/4, -3, 2\/5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.1. Let s = -6.7 - -4.2. Let g = -3.5 - s. Which is the closest to g? (a) p (b) 2\/17 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18586 divided by -1.\nAnswer: 18586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3305 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8304497.7 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**3 - 3*d + 18. Let f(o) = -o**3 + o**2. Let v(j) = -6*f(j) + w(j). Let k be v(6). Suppose 4*m - 40 - 20 = k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 44 - 3*x**2 + 41 + 2*x + 2*x**2 + 66 to the form j*x**2 + n + u*x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*v + 5*v - 28, 5*v = 2*x + 23. Let n = x - -4. Suppose -5*c = 3*s - 0*c - 52, n*c + 20 = 0. Round s to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 7:15 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 30 = 5*s, -10 = n + 4*n + 5*s. Let k = n - -19. Which is the second smallest value? (a) -2 (b) k (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1777 + 3466. Calculate the lowest common multiple of m and 3.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + w)*(16 - 3 + 8)*(6*w - 2*w - 5*w).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 + -0.08. What is b rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 9, h: 7}. What is prob of picking 2 p and 1 h?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (50\/(-8))\/(2\/(-8)). Suppose 0 = 4*w + n - f, 14 = 4*w - 2*w + 2*n. Let x = 10 - 6. Solve 4*k = 2*k + w, -2*k - 10 = -x*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -980064, -980061, -980058, -980055, -980052, -980049?\n\"Answer: 3*n - 980067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 825, -0.94, -2\/19?\nAnswer: 825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 9. Let m be v(8). Suppose -l + 34 = 2*n - m, -2*l - 10 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -538 - -365. Let d = 173 + y. Which is the nearest to d? (a) -2 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -590277 + 1172109. Suppose h = 37*h - j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, o: 3, y: 2, b: 4, d: 6}. What is prob of sequence yd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1 - (-1 + 1)). Suppose 0 = r*n + 3 - 9. Factor -2*t - 4*t**2 + n*t**5 - 4*t**4 + 8*t**4 + 0*t**5.\nAnswer: 2*t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**2\/2 - 1. Let d be -3 + 7 + -1 + -1. Let x(u) = 1 - u**2 + d - 3. Determine x(n(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -208 (base 12) to base 8.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 1 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 17. Let g be h(-5). Solve g*a - 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 8:16 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + (-3*sqrt(208)*6 + -5*sqrt(208)*3)*-6)**2.\nAnswer: 1584*sqrt(13) + 8154433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*h**5\/5 + 14676516*h**4\/5 - 332405964794*h**3\/5 - 73868535752*h**2\/5 - 4103817608*h\/5 = 0.\nAnswer: -1\/9, 0, 45298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7*(l**(-4)*l)\/l)**(-18))**(-1\/30) assuming l is positive.\nAnswer: l**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-624)*(-12)\/(-9)*(-342)\/(-19)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -v - 2*k, -870*k + 868*k - 8 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6*972\/90)\/(-33 + 35)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70352435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5365 and 133385?\nAnswer: 3868165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70754?\nAnswer: 2, 17, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 249 - 377. Let w be j\/(-40)*(49 - -1). Calculate the highest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 98622.01 nanometers?\nAnswer: 98.62201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24366071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*k + 3\/5*k**2 + 24\/5.\nAnswer: 3*(k + 2)*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-16) + (-486)\/912)*4\/14.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 227*j**2 + 9*j - 5. Let k be o(3). Suppose 3*v - k = 422. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) + (sqrt(14)\/sqrt(7))**2 + sqrt(2) + 5) + ((2*sqrt(288) - sqrt(2)) + 2)**2)*-1.\nAnswer: -1076 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 80436*l**3 + 19*l**2 - 28553603*l wrt l.\nAnswer: -12*l**2 + 482616*l + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r = -378 - 902 + 224 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015767 to 6 decimal places.\nAnswer: 0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 3*x**4 - x**4 + (-5*x**3 + 3*x**3 + 3*x**3)*(-3*x + 0*x + 4*x) + 8*x**4 - 29*x**4 - 2*x**4.\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15625*o**3\/2 + 47000*o**2 - 1501*o\/2 + 3.\nAnswer: -(o - 6)*(125*o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/7, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*n - 32*n - 17*n + 107*n.\nAnswer: 142*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 = 4*w, -66 = -5*a - 5*w - 26. Solve -h + a*o + 21 = -3, -4*o - 8 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 minus 100.645?\nAnswer: -100.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 368*g**2 - 2886*g - 2109. What is a(-360)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + 3 + 5 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576 by 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:56 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18066 + 54199\/3. Let p be (-4)\/10 + 44\/60. Factor 0 + l**4 - l**3 + 0*l + p*l**2 - j*l**5.\nAnswer: -l**2*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194690 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 + -165.91. Let l = 0.39 - a. Let d = 3.1 + 0.9. What is the third smallest value in -18, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-807)\/2)\/(9 - 747\/84). Let o = 5307 - d. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 19*q - 6. Let x(s) = -s**3 + 57*s**2 + 15*s - 872. Let r be x(57). Calculate b(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 5*h - 23*k + 26*k, 2*h = k + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:00 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**(-4\/29)\/(g**(5\/2)\/(g**(7\/5)\/g)) assuming g is positive.\nAnswer: g**(-1747\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*q**2 + 54 + 25*q**2 - 17*q**2 wrt q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 639*g + 640*g + 640*g - 1901*g + 18 as q + n*g**2 + h*g and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 600*i**3 - 23*i + 14. Let f(j) = -603*j**3 + 22*j - 13. Let w(k) = 4*f(k) + 3*g(k). What is the second derivative of w(d) wrt d?\nAnswer: -3672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 9:17 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -28340 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 35. Suppose -4*y = -4*c - p*y, -3*y = 5*c. Solve z - 19 + 18 = c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 11:42 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 - (-8)\/60. Which is the nearest to i? (a) 2 (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i**3 + 233*i**2 + 15625*i wrt i.\nAnswer: 66*i + 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(-1*sqrt(11)))**2 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11565830 and 32.\nAnswer: -11565798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/3)\/(2\/34). Let w = u + -11. Suppose g - w = -0*g. 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: In base 9, what is -180 - -2057?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20614, -20616, -20618, -20620, -20622?\nAnswer: -20624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 72*j**2 - 11*j**4 - 30*j**2 - 22*j**2 - 23*j**2 to the form r + o*j**2 + u*j**4 + c*j + b*j**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 - 3 = 0. Let o(m) = m**3 - 2*m**2 + m - 1. Let j be o(2). Find the common denominator of 103\/14 and 188\/(-12) + j\/i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 5. Let y(t) = t**3 + 2*t**2 - 2*t + 1. Let a be y(-3). Let q be i(a). What is the tens digit of 16 + (q - -4*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72.1077235 + 100.107733. Let x = l + -28. What is x rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 63\/27*-3 - -10. Suppose -2*o - a*o = -4*b + 13196, -4*b = 5*o - 13196. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*s + 8, -2*y - 5*s + 15 = 3*y. What is the tens digit of y\/6 - (-76)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528683 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 + 17472470\nAnswer: 17472471.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1393, -92, 5.\nAnswer: -1393, -92, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 16*p**2 - 12*p + 237. Is k(-37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 628, 2069, 4878, 9511, 16424, 26073, 38914?\nAnswer: 55403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15435897 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1545682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/3)\/4*(-486)\/(-7452)*414?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 17, 62.\nAnswer: 0.1, 17, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 + 18*z**2 + 36*z + 24 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1271*i**3. Let q be (-4338)\/35 - ((-390)\/525)\/(-13). Let n(f) = 31*f**3. Calculate q*n(g) - 3*z(g).\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-800)\/96*1\/(-5))\/(-1).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 790349 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - 4*o**2 + o + 1. Suppose 9*y - 15 = 6*y. What is the hundreds digit of l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c, 2*z - 5*c + 5 - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*q. Let h be 35\/(-15) + q\/6. Let x be 6 + (h - -1)*1. Solve -4 = -4*l - 4*d, -d - d - 7 = x*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.0096 + 6. Let h = m - 5.9954. Let g = h + 6. What is g rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-10)*35\/14)\/(4 - 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/10*((18275\/(-172))\/17)\/((-580)\/8)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 + w**2 - 25*w - 13. Is y(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i - 10. Let a be 33\/(-5) - 14\/35. Let s be w(a). Let t = s + -10. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -13*v**6\/6 - 14*v**3 + 8. Find the third derivative of h(c) wrt c.\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110953?\nAnswer: 181, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u**3 - 40*u**3 + 16*u**3)*(2 - 7 + 4)*(4*u + 3*u - 5*u).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3512.786 litres?\nAnswer: 3512786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38301.\nAnswer: 3, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, -4, -1\/7, 1584?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 24*x + 48. Calculate u(-21).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6132)\/(-120))\/(-73)*48\/28.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 351 = -431 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a**2 - a**2 + 4*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + 32. Let c be (-5)\/((-5)\/l) - 1. Suppose -2*n - 2 = -5*y + 3, c*n = -y + 28. Calculate the least common multiple of 7 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*f - 4*i, -4*i - 34 = -5*f + 151. Let a be 6\/(-4)*(-44)\/f. Solve 0 = 3*m + a*d - 14, -2*m - 4*d + 7 + 13 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 0*g + 4*g + 74, 3*d + 39 = 3*g. Let u be 6\/21 + (-52)\/d. Suppose u*t - 14 = 2. Solve -3*p = p - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(44)*1 - sqrt(110)\/(sqrt(160)*1))**2.\nAnswer: 7*sqrt(11) + 603\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 16*l**2 + 33*l - 33. Is s(16) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80, -27, 118, 403, 876, 1585, 2578?\n\"Answer: 8*v**3 - 2*v**2 + 3*v - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 484 divided by 6900\nAnswer: 121\/1725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346 greater than 312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (161 - 171) + (-1 - (2 - -8)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*p**3*s**4 - p**3*s**2 - 11*p*s**2 - 2*s**5 + s**4 wrt s?\nAnswer: -3048*p**3*s - 120*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -38*o**3 + 27*o - 1\/2*o**2 - 135. What is the second derivative of m(g) wrt g?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 400016707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -14*j - 21. What is the units digit of g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -52*u + 16. Let j be (10\/(-30))\/((-2)\/(-42)). Let r be o(j). Suppose 3*d - r = -80. What is the highest common factor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 36*k**2 + 38*k + 42. Let o be t(-37). Suppose -u = -3*v - 165, -5*u + v + 0*v = -895. Suppose -o*a = -a - u. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Suppose 0 = 3*u + r*y - 9 - 6, -5 = -4*u - y. Let z be (-31)\/44*-4 + 2\/11. Solve -i + 10 = -5*h - 2, u = h + z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**8\/105 + g**5\/10 + 3*g**3 - 19. Let y(r) be the third derivative of h(r). What is the second derivative of y(x) wrt x?\nAnswer: -192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*v - 317*v = -40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 131*d**2 + 227*d + 2264. List the prime factors of h(131).\nAnswer: 3, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(88)*-2 + 6*(2*sqrt(88) + sqrt(88) + sqrt(88)))\/((sqrt(160)\/(sqrt(20)\/sqrt(5)))\/sqrt(5)))**2 + 0 + 4.\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2\/5) + (-2313)\/(-45). Solve -55*k - 3 = -b*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(156\/23) + 4\/6.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209564 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: Calculate -0.1015*0.14.\nAnswer: -0.01421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464 is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.836 less than -6?\nAnswer: 50.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169441?\nAnswer: 23, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 + 128. Suppose -13*y - 348 = -426. Put p, -18, y in increasing order.\nAnswer: -18, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2637 and -1933.\nAnswer: -509.7321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 30e4?\nAnswer: 30e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 465983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 19*w + 98 + 7 = 4*a, 0 = -w - 2*a + 55 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39 and 94.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*q + 10 = 0, 0 - 1 = -q. Suppose -x*u + 8 + 4 = 0. Solve 0 = 7*r - u*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14 - 7) + 192*2?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/60 + a**4\/6 + 5*a**3\/6 + 171*a**2. Factor m(y).\nAnswer: -(y - 5)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*s - 0*s - 35, -4*s = 4*c - 32. Let t = c - 5. Suppose t = 5*k - 6*k + 11. Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 68. Let h be ((-315)\/(-210))\/((-1)\/(-4)). Calculate r(h).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27157313083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -211?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)*o\/o**1)\/((o**(-10)*o)\/o**3) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6972 - 2.7. What is d rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + y - 785 + 107 = 0, 2050 = 3*x - 5*y. What is the remainder when x is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 0*z**2 + 12*z**2)*(-49 + 33 + z + 3*z).\nAnswer: 20*z**3 - 80*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5 = -20. Let a = -7 + t. Suppose -23 = -3*q - a. Solve -3 + 7 = w, q*w = 5*u + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9666 and 228941.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -599.88 * 0.08\nAnswer: -47.9904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7099+8.22\nAnswer: -7090.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -46, -2\/513, -16?\nAnswer: -2\/513","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 10) to base 14.\nAnswer: bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 6:16 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + -3 + 5 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-399)\/760*(-2)\/112*2*8.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-138)\/(-33)) + (-3168)\/(-121) + -9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -12. Suppose 0*c + x = 5*c. Suppose 5*y + b - 164 = 0, y + 3*b = -c*b + 52. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, 0, 14, 3 in ascending order.\nAnswer: 0, 2, 3, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, i: 2, o: 6}. What is prob of picking 2 o and 2 i?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*-53.7.\nAnswer: -3275.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422161?\nAnswer: 13, 109397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*r - 164 = 0, -2*t + 5*t + 3*r = 123. Suppose 2*q = 3*c + c + 6, -5*q + t = 3*c. Let o = q + -2. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -19. Let c = l - 17. Is c equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 8*l - 7. Let r be a(-7). Let k = -4 - r. Let y = -818 - -815. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*a = -113*a - 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:37 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1567918 and 43?\nAnswer: 1567918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (-19 - (-63 - 37))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -999, -1001, -1007, -1017?\n\"Answer: -2*d**2 + 4*d - 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 10*k + 14. Let a be m(-11). Suppose -4 = z - a*z. List the prime factors of (-2)\/4 + 7\/z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1214 = -64*x + 66*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 1:22 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.303*9.\nAnswer: 2.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 18. Solve j + 2*o = 8, -11 - 1 = 2*j - c*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-4))\/((-44)\/179696) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 7}. What is prob of sequence hnh?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 21*h**5 + 954*h**4 + 8436*h**3 - 6102*h**2 - 8457*h + 5148 = 0.\nAnswer: -33, -13, -1, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {d: 1, b: 2, e: 1, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9187342 + 91751133\/10. Let a = v + 12241. Find the common denominator of a and -87\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**6\/24 - 7*x**5\/4 - 321*x**4\/16 - 221*x**3\/12 + 289*x**2\/4 + 41. Find q, given that p(q) = 0.\nAnswer: -17, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287691625 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**(1\/47)*t**5*t*t*(t\/(t\/t**(-1\/8)))\/t*t assuming t is positive.\nAnswer: t**(7739\/1128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3492282024 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -19*r - 141. Suppose 27*v + r = 9*v. What is the fourth biggest value in -2\/11, -0.2, v, 0.07?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448)*1 + 2)*6 - ((sqrt(448) - (-2*(1 + sqrt(448)))**2) + 5))*-1.\nAnswer: -1803 - 152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -30*(1\/5)\/((-5)\/10). Suppose -a*h = -15*h + 90. Suppose 6*f = f + h. What is the remainder when 10 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -64*u - 2. Let f(s) = 243*s + 9. Let k(p) = -4*f(p) - 18*q(p). Let a(r) = 18*r. Determine 21*a(t) - 2*k(t).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -3 + -2 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1940 and -0.026.\nAnswer: -50.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o*o**(-2\/21))))\/o)*o)\/(o*o*o**(-5))*(o*o*(o**(1\/4)*o*o)\/o)\/(o\/o**3)*(o\/o**(-2\/19)*o\/(o*o*o**4*o))**(-33) assuming o is positive.\nAnswer: o**(274307\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 8:39 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*s - 25 = -4*m, 4*s = 5*m - 95. What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0.1. Let r = 2.9 + -3. Let m = t - r. Which is the smallest value? (a) 1 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.182 take away 3?\nAnswer: -3.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466171673 divided by -3?\nAnswer: -466171673\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 112560 divided by -28140\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9*(-51)\/(-85). Let s = 4225\/1116 + -34\/9. Which is the nearest to s? (a) -2\/7 (b) 1\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.48 + -398.48. Let j = i + 392.0177. What is j rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + t - 4 = 0, 0 = 3*c + 2*c + 4*t + 5. Suppose -3*m = -3*d - 5*m, -5*m = c*d + 9. Suppose -6*h = -4*h - d. Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 99\/(-88)*6\/(-9). Which is greater: 28 or i?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -331 - -326. Sort -3, s, -4, 0 in increasing order.\nAnswer: s, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + 0. Suppose -5*y = 7*d - 68, 2*d - 88*y = -87*y + 34. What is the highest common factor of d and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + sqrt(76)*-2 - sqrt(76)))\/sqrt(4))**2 - sqrt(1900)*-3.\nAnswer: 30*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 3*c + 2. Let a be y(-2). Suppose m - 25 = 63. Suppose 0*g - m = -g. What is the highest common divisor of a and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242*g - 634*g - 706*g)*(2*g**2 - 3*g + 3*g).\nAnswer: -3164*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2)*(-23)\/2484. Let o(y) be the second derivative of 0*y**5 + 0 - 2*y + 0*y**3 - a*y**4 + 0*y**2 + 1\/90*y**6. Solve o(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/11318 and 59\/8.\nAnswer: 45272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -567*d**2 + 78*d**3 + 18*d**4 - 27 - 324*d - 20*d**4 - 42*d**3 + 110*d**4 - 402*d**2.\nAnswer: 3*(d - 3)*(d + 3)*(6*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -12. Suppose -3*y - h - 21 + 50 = 0, o = -2*h. What is the least common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-1))\/((-60)\/3870)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-130)\/(-12) - 8\/(-48). Suppose 0 = -n - 3*o - r, -n + 0 = -o - 1. What are the prime factors of 1 - -1 - -9 - n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75740 - 35482 - 32875 = 107*k for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14752 divided by -4.\nAnswer: 3688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.00440893904 and -9.5?\nAnswer: 9.50440893904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 1. Let h(u) = 3*u + 2. Let t(i) = -h(i) - 2*w(i). Let y = 99 - 97. Let k(l) = -4*l**2 + 0*l**2 - 9*l**y. Give k(t(a)).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let m = 65 + -26. Suppose x - 42 = -m. Sort y, x, -2 in decreasing order.\nAnswer: x, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + x**2 + x + 51. Let o(c) = -c**3 - 11*c**2 - c - 156. Let z be o(-12). Determine t(z).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 3 - 0)*(-1 + 1). Suppose -3*v + f*l + 48020 = -l, 3*v + 5*l = 48008. Suppose -11*y + v - 1409 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j + 72. Let y be q(-4). Let c be 7 - (-1 - (y - 6)). Solve -k = c - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1439*d + 372*d - 135199 - 124524 + 40592 = 0 for d.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 11. Let q = -140 - -132. Give v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - m = -4*d + 3, -7 = -3*d + 4*m. Suppose 0 = 2*j + d - 5. Solve -k - 4 - 1 = 0, j*o = 5*k + 29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2226 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o*r**3*u + 25*o*r**2 - 2*o*r*u + o*r - 117*r**3 wrt r?\nAnswer: 12*o*u - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*z + 30 = 0. Let u = 37 - z. What is the common denominator of (88\/(-300))\/((-2)\/u) and 65\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-640)\/1200)\/((-104)\/2340*-1*3*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + i**2 + 26*i - 56. What are the prime factors of g(-15)?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275240157 is divided by 2080.\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 206913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160134 is divided by 1127.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 4*i + 3. Calculate the remainder when 34 is divided by f(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 390047 - 390067.3789. Let a = b - -20.4. What is a rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -87 and -436\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 52*h**2 - 269*h - 11121. Give t(-51).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38713*a + 32655 wrt a.\nAnswer: -38713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 215376 (base 8) to base 16\nAnswer: 11afe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 - 2*o**2 - 9*o + 14. Let k(f) = -3*f + 3. Let g(n) = -4*k(n) + x(n). Factor g(a).\nAnswer: -(a - 1)*(a + 1)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*p + 114, -3*p + 6*x + 81 = 3*x. Let o be (-302)\/(0 + (-5)\/10). Suppose -4*z + p + o = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7444 is divided by 1214.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*l = -9*l, -4*u = -l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1086258*h**5 - 920*h**2 + 2*h - 59 wrt h?\nAnswer: -65175480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37002 smaller than -469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.6272 litres to millilitres.\nAnswer: 399627.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532 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 remainder when 43830 is divided by 1030?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 100*x + 600.\nAnswer: 4*(x - 15)*(x - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 19 = -3*w, 3*d - 5*w = d + 25. Suppose 2*x = d*x + 6. Let l = -5 - -2. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 5 (c) -3 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 14*g**2 - 33*g + 20. Let k be b(16). Solve -k*n - 36 = -0*p - 5*p, 0 = 4*n - p + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (-30 - -27)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 15*m**3 - 2*m**2 + m. Let p be u(1). Suppose -h = -4*l, h - 2*l = 4*h - p. Solve 4*b + 4 = 5*s - 6, 2*s = -2*b + h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -536*k**2 - 922*k + 28.\nAnswer: -2*(4*k + 7)*(67*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 37*n**2 - 276*n + 268. Calculate l(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -3.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 9*a - 56. What is the thousands digit of o(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 4835766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -465 divided by 10\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 10. Let c be r(0). Let n be (-2)\/3 + c\/(-24). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786058 to the power of 1\/2, to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Let c be 0\/(-9) + -22 + 26. Solve -3*t + 4*y = -c, a*t + 5*y + 2 + 3 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Let a be -2*(22\/(-4) + d). Let y = 16 - a. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 34*v**2 - 2*v - 1769. Let c(j) = 84*j**2 - 4*j - 3537. What is 2*c(l) - 5*y(l)?\nAnswer: -2*l**2 + 2*l + 1771","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 5*w**2 - 2*w - 3. Let s be l(4). Suppose -1203 = -3*q - 5*f, -5*q + 2042 = f - s*f. Suppose -2*o + 4*o = q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Let u(b) = b**2 - 22*b - 20. Let q be u(23). Is v at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13748 - 1648 - 46*s + 48*s - 493.\nAnswer: 2*s - 15889","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*v = a, v + a = -2. Let m(i) = 6*i**2 - i. Give m(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 - 217*b\/4.\nAnswer: b*(b - 217)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 i when three letters picked without replacement from fjigiiijf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -936487738982.0399989 - -936487666888. Let l = r + 72094. Let v = 0.04 + l. What is v rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hrzhzxhzzzzzrrzrzzh?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (1 - 1) - -4) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -1\/36*p**4 + 0 + 8\/9*p**3 - 38*p - 32\/3*p**2. Let z(h) = 0. Calculate h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + p**2 - 3*p. Let x(d) = -d**3 + d + 1. What is -c(a) - 3*x(a)?\nAnswer: a**3 - a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 w when three letters picked without replacement from {r: 4, w: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3984 + -3979. Solve -q*l - 5*o = 20, 3*l + 3*o + 10 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1830 = 59*f - 64*f. Suppose 5*h = -q + 366, -q - 2*h + f = -h. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6064969 by -12.\nAnswer: -6064969\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4\/4 - 1167*x**3\/2 - 442143*x**2\/4 + 1149495*x - 2910675 = 0. What is x?\nAnswer: -394, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/12*-1)\/((-1)\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 153*i**2. Let s(n) = 6*n**2 + 10*n. Determine s(x(z)).\nAnswer: 140454*z**4 + 1530*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3860.7416 rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 35*n - 76. Let w be c(-2). Let t(a) = 42*a + 42*a - 88*a + 3. What is t(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2262649 + 0.19.\nAnswer: 2262649.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:15 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*d - 57, d - 10 = -5*f + 108. What is the remainder when 66 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156875557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**2\/2 + 26*o - 3245. Calculate m(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (-4 + 19 + -4)) + -25.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230 + -77. Suppose 0 = -3*i + 3*t - 0*t + 198, 0 = -2*i - 5*t + r. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.54 + -0.4. Let p = 0.24 - i. Let y(g) = g**3 + 4*g**2 + 4*g + 3. Let q be y(-3). What is the closest to q in 3\/5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1129*j + 6641*j - 346093 + 1073677 = 0 for j.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f + 5*t + 76, 3*f - 5*t = -116. What is the common denominator of -87\/8 and ((-12)\/f)\/((-10)\/12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 9*z - 18 = 5*k, 4*k - 4*z + 16 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6504771773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22366521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151681 or 151682?\nAnswer: 151681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13953\/2 != 6978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 + o**3 - 5000*o - 4*o**2 + 5004*o + 65 to the form n*o**3 + w + q*o**2 + g*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22033 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 58 + 11 - 73 - (-32 + 15)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04415 from 165637.65.\nAnswer: 165637.60585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, v: 8, s: 5, k: 1}. Give prob of sequence ffs.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -191859 minus 0.6?\nAnswer: -191859.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167 divided by -177.\nAnswer: 389\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -86*k**2 + 118*k + 242. Calculate a(-2).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 3)*(-38 + 13*z + 38 + (0*z + 10*z + 5*z)*(1 + 0 + 1)).\nAnswer: -301*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144617754.\nAnswer: 2, 3, 24102959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64008483 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/14)\/(3\/(-4)). Let g = 7 - l. What is the closest to -1 in g, -1\/6, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/7))**16)**(5\/6) assuming s is positive.\nAnswer: s**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5865224 divided by -19.\nAnswer: 308696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40966926 a multiple of 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9809*(-1 - -3))\/(1\/(-5)*-10).\nAnswer: 17, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7649.\nAnswer: 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 - 0.09. Which is the third smallest value? (a) 0.3 (b) z (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9083*w + 5003 + 9394*w - 10006 + 5003.\nAnswer: 311*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(120)\/sqrt(54))\/(sqrt(4) - (sqrt(4) + 6*sqrt(100))))*-2.\nAnswer: -16 + 4*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246112.\nAnswer: 2, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (1 - -1) + -8. What is the closest to 1.4 in 0, -1\/10, -1\/3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2\/11, 0.3, -2133, 0.04.\nAnswer: -2133, -2\/11, -0.06, 0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -62.37. Let m = s - -0.63164. Round m to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 21. What is n(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 16d415?\nAnswer: 16d41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22045291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 36. Suppose 0 = j - d*j + 48. Suppose j*q = 13*q - 15. Solve -q*s + s - 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233229263957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4317049836?\nAnswer: 2, 3, 11, 17, 433, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73031 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 7 - (107 + -65)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5340699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6.6 (b) 0.8 (c) -52 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 105 = -5*j, -2*j + 6*j - 87 = c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 divided by 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1. Let d(y) = 2. Let l(j) = -5*d(j) - 12*w(j). Let b = 3 - 6. Let g(u) = 202 + u + 200 - 597 + 198. What is b*l(h) + 2*g(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-24)*r*r**10*r*(r*r**(2\/17)*r*r)**(6\/17))**39 assuming r is positive.\nAnswer: r**(-122850\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 4*k - 14*k**3 + 3*k.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*t + 31*t**4 + 35*t**4 - 101*t**4 + 33*t**4 + 2*t**2 + 1058*t to the form i*t**2 + c*t + d*t**4 + h + q*t**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 75. What is the third derivative of -q*y**2 + 7*y**2 - 31*y**5 - 25*y**2 - y**2 wrt y?\nAnswer: -1860*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0463553 + -0.04536. Round i to 5 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294120 by -5160.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 541?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58.6 - 59. Let i = 5766 + -86524\/15. Let c = i + 767\/345. Sort c, 4, d in descending order.\nAnswer: 4, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 + 1262*b\/5 + 34164\/5.\nAnswer: -2*(b - 657)*(b + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 3*n**2 - 3*n**2)*(-50*n + 298 - 298) + (-n**2 + 2*n**2 - 2*n**2)*(5 - 5 - n).\nAnswer: -99*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23579498802.999998915 - -23579499256. Let a = c + -453. What is a rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 7. Suppose 10 = -5*p - 0*p, 0 = 3*i + 4*p + 2. Let f be (i - (-40)\/(-14))*35\/(-5). What is c(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.32 + 41. Let c = 1.680654 - k. What is c rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78051877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 7 - (-17 + 18) - (0 - -104 - 9)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*g**2*h**3*i**2 + 177*g**2*h**3 + 129525*g*h**2*i - 2*h**3*i**2 + 3*i**2 wrt g?\nAnswer: -130*h**3*i**2 + 354*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/415 and -3\/10790.\nAnswer: 10790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + z**2 + z + 4. What are the prime factors of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0 + (-5 + 2 - 4)*(0 + 5 - 4))*(2*x + 10*x + 0*x) to the form o*x + c and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, 3 in descending order.\nAnswer: 3, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-2)\/4*14. Let v = -2 + 2. Let w be (-4)\/70 - (v - 0). Are g and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 731 and 364952829.\nAnswer: 364953560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -17599000 to the nearest one hundred thousand.\nAnswer: -17600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1\/3 (b) -6\/17 (c) 1\/4 (d) 0.4 (e) -1\/4 (f) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*u + 8. Suppose 3*o = 4*o - 2. What is the third derivative of o*t**u - t**3 + 2*t**2 - 2*t**2 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -384502 * -520.\nAnswer: 199941040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 477.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1483374 and -8.\nAnswer: 1483374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**2 + 3*s - 3. Let x(m) = m**3 - 5*m**2 + 6*m. Let i be x(4). Let n be (-5)\/(-20) + 30\/i. What is the hundreds digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4329\/(-7215))\/((-19)\/(-10))\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -127*f**2 - 10*f. Suppose -3*g - 36 = 114*t - 111*t, -3*t - 5*g - 50 = 0. Let r(z) = -85*z**2 - 7*z. Give t*u(b) + 7*r(b).\nAnswer: 40*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + b + 0*b)*(-2*b - b + 7*b) - 1780 + 3561 + 1260*b**2 - 1778 in the form p*b + n*b**2 + k and give n.\nAnswer: 1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.52 plus 677084?\nAnswer: 677107.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 13*y**2 + 5*y - 73. Give j(12).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129195*f**2 - 3154*f**3 - 129195*f**2.\nAnswer: -3154*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 46*x**2 + 3*x. Let g be z(3). Let o = g - -19. Let v = o - 251. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 938 and 5026?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1875 is divided by 516?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 10:35 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1.663\nAnswer: -3.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) - 34\/(-10). Let w(g) = -5*g**2 + 27*g + 20. Let f be w(6). Solve u*r = -2*x - 11, 8 = -r - f*r + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.68193909 + 365.93426909. Let c = -349.252339 + k. Let r = 16 - c. Round r to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-134)\/(-10) + 12\/(-30). Let j(t) = t**3 + 10*t**2 - t + 94. Let d be j(-10). Calculate the highest common factor of d and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/3)\/((-3)\/99). Let q = 56 + -45. What is the highest common factor of w and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + -0.24. Let d = -10.166 - 0.034. Let j = d - -10. Which is the biggest value? (a) z (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -174, -190, -202, -204, -190?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 7*u - 43, 0 = -9*o + 7*o + 3*u - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n - 7. Let m(g) = -4*g - 3. Let c be (4\/(-7))\/(22\/(-539)). Let p(y) = y**2 + 7*y. Let k be p(-6). Give c*m(u) + k*i(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 5194*m**2 + 171*m**3 + 5194*m**2.\nAnswer: 171*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.67 - 8.1. Let n = h + 0.03. Is -2\/5 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1001)\/(-715)*2\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 - -151. What is the remainder when 296 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 - 1245736*t = 0. Calculate t.\nAnswer: 0, 311434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 + 213. Calculate the greatest common divisor of y and 248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -4 + 8 + -17 - (-32 - -28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130343254?\nAnswer: 2, 3, 13, 1011559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.1655?\nAnswer: 0.04965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 76. Let o = -12 - w. Suppose -o = -d - 3*a, -6*a + 59 = d - a. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/4 (c) 0.276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5326 (c) -5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 332, 1\/4, -10, 629, -0.2 in decreasing order.\nAnswer: 629, 332, 1\/4, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -39*r**2. Let z(b) be the second derivative of -b**4\/6 - 2*b - 45. What is z(v(p))?\nAnswer: -3042*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 11:11 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*v**3 + 111*v**3 + 1147*v**2 - 1148*v**2 - 224*v**3.\nAnswer: -603*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001220 (base 4) in base 11?\nAnswer: 45353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.007 and 54.894.\nAnswer: 54.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45357a (base 16) to base 12\nAnswer: -162898a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -5*x**8\/7 - 3*x**4 - x**3\/6 - 25*x. What is the third derivative of s(n) wrt n?\nAnswer: -4800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -63*t**2 - 59*t**2 + 186*t**2 - 63*t**2. Let g(v) = 80*v. Determine g(f(o)).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 9, -c = 2*c + 3*d - 18. Suppose c*g = 291 - 24. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, b: 5}. Give prob of sequence bab.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/112 and -69\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.09, -3, -0.09 in ascending order.\nAnswer: -19, -3, -0.09, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.2, -3, -10, 5 in descending order.\nAnswer: 5, 1\/7, -0.2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 + 250. Let x = 155 + 108. Let u = x - v. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 - 886\/18. Suppose -3*q + 6 = 3. Let b = q - h. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r - 128 = -29*r. Let m(u) = -u**2 - 5*u + 7. Let j be m(-6). Let t be (10 + -6)*(5 - j). Calculate the greatest common factor of t and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 8. Let c be t(8). Suppose -667*d + 673*d = 36. Suppose -d*s = -2*s - 8. Solve s*m + 2*m = -4*q - c, 5*m + 16 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 80.8 (b) -8 (c) 28\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3416 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 37*c + 5*y + 35 = 0, -3*y = -5*c - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01639576154 rounded to five decimal places?\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -634358 - -634360. Factor 2\/7*g**2 + u*g - 36\/7.\nAnswer: 2*(g - 2)*(g + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.46 + -0.76. Let m = z - 0. Sort m, -0.2, -3\/4 in descending order.\nAnswer: -0.2, m, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = 101*z - 1340 + 35894. Which is greater: -439 or z?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utcnuuxuturucxxctrt. Give prob of picking 1 c and 2 u.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 32\/3 (b) -1362 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5\/7 - 22670*k**4\/7 - 339756*k**3\/7 - 252320*k**2 - 3622592*k\/7 - 2173440\/7 = 0.\nAnswer: -11320, -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fgggfpd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-1)\/1*-1. Let l be ((-1)\/(-2))\/(s\/108). Let n = l + -12. Solve -1 = m - n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/467922 and 145\/2184.\nAnswer: 1871688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2. Let j be (14\/(-126))\/(2\/(-12*1)). Let w = -17\/12 + j. What is the nearest to v in -0.2, -4\/3, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1852692670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 579 times 0.2093\nAnswer: 121.1847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97390 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 0.2 (c) 2\/15 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4 = -4*k. Let i(c) be the third derivative of 21*c**4\/8 - c**3 - 329*c**2. What are the prime factors of i(k)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:07 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 z, and 1 s when four letters picked without replacement from zzzzzzssxzzzxe.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 336*p*w**3 + 9*p*w**2 - 8*w**3 + 1634 wrt w?\nAnswer: 2016*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:15 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 31*s**2 + 7*s**2 + 24*s**2 - 4*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 117587 - (2 - 0\/(-4)). Let v = l - 267585. Round v to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 6*w**2 - 4*w + 1. Calculate q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {s: 1, h: 1, i: 1, a: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*y**5 - 1055193*y**3 + 1035*y**2 - y + 1294?\nAnswer: -300*y**2 - 6331158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 50*h**2 - 50*h + 54. Let k be q(49). Put k, 0, 4, -1\/18 in decreasing order.\nAnswer: k, 4, 0, -1\/18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 - 1978632*a + 791452 = 0. Calculate a.\nAnswer: 2\/5, 395726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -16 - -17 - 1 - (-4 - 4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 12:02 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 8*u**2 + 3*u - 2. Suppose -4*f = -4*a - 288, 6*f - f = -a - 66. Let j = -21 - a. What is the remainder when j is divided by n(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ssssszzsss.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108548 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (15 + -30) - (-3 + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 307, 490, 745, 1072, 1471, 1942?\nAnswer: 2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -24 + (-71 - -18).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 - 3*l. Let g be q(1). Solve g*t - 13 = -1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25095903 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006921?\nAnswer: 313, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42819378677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Solve -f = -j*o - 6 - 6, -3*o + 4*f - 28 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-1 + -1)\/(-2). Let l(n) = 17*n**2 - n - 2. What is the units digit of l(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 315 = 2*z + 205, -1016 = 4*z - 2*k. Find the common denominator of 13\/30 and ((-206)\/(-10))\/(z\/(-40) + 2).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2063\/9 + 229. Let d = -10.1502 - -10.08. Let u = d + -3.9298. What is the fourth biggest value in o, 2, u, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1980784 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9988154*z + 49917. Let g(p) = 2401*p + 12. Calculate 16639*g(w) - 4*o(w).\nAnswer: -2377*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 660659 to the power of 1\/2, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.8 + 50. Suppose -17*o + 35 = 1. Which is the nearest to o? (a) -3 (b) g (c) -4 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 3*k**2 - 5*k + 2. Suppose 4*l - 12 = -0*m + 2*m, 6 = 2*l + 3*m. Give r(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14913?\nAnswer: 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*p - 3*p**3 - 2*p - 182971944 + 182971944.\nAnswer: -3*p**3 + 61*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**3 + 0*g**2 - g**4 - 1 - 11*g**3 + g**2. Let f(t) = -6*t**4 + 3*t**2 - 11*t + 5. Let r(i) = 3*a(i) - f(i). Differentiate r(u) wrt u.\nAnswer: 12*u**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1039, -1033, -1023, -1009, -991?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, l: 1, z: 3}. Give prob of sequence zk.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 566 = 210 - 769 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1219818982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(2299) + 0)**2.\nAnswer: 132*sqrt(19) + 2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 7*z + 5. Let w be x(-8). Let l = w - 28. Let m(i) = -i**2 - 15*i + 20. What is the tens digit of m(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8906*i + 235490 = -2194 + 181156 - 834072 for i.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*(-2)\/(-60))\/(-1). Let k = 70 + -69.9. What is the nearest to -1\/3 in -0.1, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*360\nAnswer: -7920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*r - 544, 5*r + 187 = 3*n - 637. Let b = n - 270. Calculate the remainder when 15 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*x = -1836, 10*u = 11*u - 3*x - 357. Calculate the highest common factor of u and 4575.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/l**(-4)))\/l)\/(l**(-2\/9)\/l))\/(l*l**(2\/19)*l**(-5)) assuming l is positive.\nAnswer: l**(-151\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - k - 102243 = 0, -3*k = 4*n - 408965. Suppose -5*s + 2*x + n = 4*x, 5*x = -s + 20430. Suppose 4*j + 6702 = s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/7))**(4\/7)*n*n**1*(n\/(n*((n**(1\/3)\/n)\/n*n)\/n*n))\/n*(n*n**(-2))\/(n**2*n)*(n*(n*n*n\/(n*((n**1\/n*n)\/n*n)\/n*n))\/n)**21 assuming n is positive.\nAnswer: n**(2852\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15969586 to the power of 1\/2, to the nearest integer?\nAnswer: 3996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 2*y**2 + 2*y + 3*y**4 + 0*y**4 - y as l*y + b*y**4 + v*y**3 + k + r*y**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -430 + 2*n**2 + 430 - 17*n**2. Let t(y) = -y. Determine d(t(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 249. Let v = d + -260. Which is the second biggest value? (a) v (b) -0.3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5261, -5247, -5223, -5189, -5145, -5091, -5027?\nAnswer: -4953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b - 36. What are the prime factors of c(20)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -291*l - 4275 - 5037 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966.9441 rounded to the nearest integer?\nAnswer: 4967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 33*q**2 - q + 34. Let p be h(33). Is -6 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 2, f: 6, t: 1, g: 2}. What is prob of sequence sgs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 9*g**2 - 11*g + 12. Let y = -10 - -20. Let f be l(y). Let o(j) = -j**3 + 2*j + 1. What is o(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 4*u + 1 - 3*u. Let y be 8\/((4\/26)\/(-2)). Let w = y + 105. Calculate a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/4864522 and -37\/4490328.\nAnswer: 58374264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 2*a + 4656. Let i be h(0). Suppose -21*o = -15*o - i. Suppose 4*j + 4*j = o. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/9 - 20782*s**2\/9 + 54450998*s\/9 - 267599290 = 0. Calculate s.\nAnswer: 45, 5173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 10. Let t = -6.9 - z. Does 0.03 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 - 67 - u - u**2 - 3*u**2 + 10*u**2 to the form b + p*u**2 + i*u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 850?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/20 + 3*a**4\/8 - 2*a**3 - 2*a**2 - 3*a. Factor d(q).\nAnswer: 3*(q - 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 4*v - 23, -3*y + v = -28. What is the greatest common divisor of 56 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -5 + (sqrt(242) - sqrt(242)*-2))**2 + sqrt(242))*-6.\nAnswer: -23382 + 2574*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/79)\/(65\/(-130))*-1?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*p + 418*p - 16723676. What are the prime factors of p?\nAnswer: 2, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357988786 a multiple of 2080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 135*p**2 + 302*p + 332. What is the units digit of l(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -48.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4) - 156\/(-8). Let c = g + -8. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 2*g + 2*g)*(6175 + 6385 - 12753 + 3*g)*(7 - 4 + 1) to h*g**2 + u + w*g and give w.\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -77, -1, 3\/7 in increasing order.\nAnswer: -77, -1, 0, 3\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-9) - 2\/(-6). Let w = -6.6 + 7. Let n = w + -0.3. Sort -1\/7, m, n.\nAnswer: -1\/7, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m + 8*m + 10 + m**2 + 7*m. Let q be b(-5). Suppose r - 1 = -3*x + 5, q = r - 5*x + 2. Solve -16 = -5*l - 2*h, -h - 3 = -r*l - 0*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-14)))\/(m*(m\/(m*m\/(m**(-2\/35)*m)))\/m)*(m*m**16)\/m**(-40) assuming m is positive.\nAnswer: m**(1507\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-8\/5))\/k**(2\/19))\/(k**(-3\/4)*k*k**(-28)) assuming k is positive.\nAnswer: k**(10277\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 7. Let q be p(-13). Let y = -29\/4 - -83\/12. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/66500 or -1?\nAnswer: -3\/66500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 7. Let r be -14*(2\/(-4) + 1). Let c be d(r). Calculate the lowest common multiple of (6\/c)\/(2\/(-14)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7872697.\nAnswer: 7, 41, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4)*(218\/70 + -3). Let d be 10*((-2)\/(-5) - 0). What is the third biggest value in d, q, 1, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/234633 and 127\/938532.\nAnswer: 938532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 59.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3618685408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 936, 938, 940, 942, 944?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35053135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 16138\/55 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 5, 43, -20298, 3, -4 in ascending order.\nAnswer: -20298, -59, -4, 3, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 16*r**3 - 23*r**2 + 102*r.\nAnswer: r*(r - 17)*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.21 - 0.31. Let h = -39.16 - -33. Let b = h + 0.16. What is the third smallest value in b, n, -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-6))\/(7\/21). Suppose 2*s + 0 = r*q - 46, 5*s = 4*q - 30. Solve 0 = 3*b - b + q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 15*g - 51. Let x(p) = -2 - p**2 - p - 13 + 24 - p**3 + 2*p**g. Let k be 2\/(-4) + 2\/4. Determine x(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 11*g - 8. Let b be k(12). Suppose b*u - 18 = 874. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 1. Let p(z) = z**2 + 4*z - 4. Let j(m) = -4*l(m) - p(m). Let b(u) = -18*u**2 + 4*u**2 + 94*u + 53 - 96*u - 53. Give j(b(o)).\nAnswer: -196*o**4 - 56*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2016\/140*5\/4)\/(2\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**5 - 3*p**5 + 2*p**5 + (3*p**2 - 4*p**2 + 2*p**2)*(0*p + 2*p**3 + 0*p) + 0*p**2 + p**5 + 0*p**2 + p**2 + 2*p**5 + p**5 - 4*p**5.\nAnswer: 7*p**5 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 0 + 0)*(-949*z - 224*z + 26*z + 17 - 57*z - 1215*z) to s + g*z + b*z**2 and give b.\nAnswer: -2419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.324337 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 385008403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000027047 to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/(-105)*(-15)\/(-20). Which is the second biggest value? (a) -0.1 (b) 2 (c) -6 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/170 and -5\/2924.\nAnswer: 14620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (2 - 21)) + -7 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 93\/46882?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/550 and 121\/340.\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72272400 and 687.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-22) + 4\/22. Let k(n) = -1 - 17*n + 1 - 1. What are the prime factors of k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**2 - 4*o**2 - 4*o**2 + 77*o**4 - 2*o**2 - 4*o**3 - 75*o**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 + -94. Let r(u) be the third derivative of 0*u + 0 + 2*u**2 - 1\/12*u**4 + a*u**3. Let j(w) = 2*w**2. Give j(r(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2 + 196. Let o be t(0). Let a = -115 + o. Suppose 2*d + 74 + 16 = 4*l, 60 = 3*l + d. What is the remainder when a is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3142339381 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - a + 2, 0 = -4*i - a - 30 + 32 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyy when three letters picked without replacement from iiyiixbiiyiii.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - -34 - (1 + 3 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 28. Is 2\/25 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*t - 0*t + 456, 2*n - t = 183. Calculate the greatest common factor of 124 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:50 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*j + 8392 = -7765 - 6643. Solve -860*p = -870*p + j for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 25*c**2 + 1117*c + 359. What is b(-18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - i**4 - 3*i**3 + 11*i + 5*i**3 - 14*i in the form u + h*i**3 + f*i**2 + c*i + t*i**4 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568351 and 8285.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -6685*d + 6683*d + 5*j, -20*d + 17 + 23 = -4*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.96573 millilitres?\nAnswer: 0.00696573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52556.\nAnswer: 2, 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 17*p + 384 = 0. Suppose 15*w - 11391 = p*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31449, 31459, 31469?\nAnswer: 31479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 60 = 2*f - q, -4*f - 2*q = -88. Suppose f = 2*b - 12. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 44*s**2 + 7*s + 60. Is 13 a factor of x(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 4.2?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3013013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 34 = -5*w, -5*r - 4*w - 17 + 85 = 0. Let i(l) = l**2 - 184*l - 13373. Calculate the remainder when i(-56) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 43*m**2 - 431*m - 1174. Let t be f(-51). Let g = 9\/35 - 2\/5. Which is the third smallest value? (a) -2\/3 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 g when four letters picked without replacement from dgcdvydcvddggdccvcgv?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15*(-10)\/4)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*z + 265, 0 = 2*z + 3*z + 2*x - 460. Let r = 315 - 185. Let a = r - z. What is the greatest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 + 54. Let o be 3 + (n\/4)\/3. Let f = 0.41 - 0.01. Which is the closest to -0.1? (a) o (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (((-3)\/(-1))\/3)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16122, 32980, 49838?\n\"Answer: 16858*j - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 372249 and 264537?\nAnswer: 643618521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*t + 10, -4*t + 0 = u + 2. Suppose 2*r - 208 = -4*q, 4*r + 61 = -0*q + q. Suppose t*a + q = a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - r = -5612, -3*t + 4*t - 1116 = 3*r. Calculate the highest common factor of t and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - 2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 11 in descending order.\nAnswer: 11, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*l + l + 0)*(-6*l**3 + 0*l**3 + 8*l**3).\nAnswer: -4*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*g = 141*g - 276*g + 880. What is the remainder when g is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3831 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*s + 23, -3*z + z = s - 13. Suppose 2*a - z = a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*x = -432*x + 3*r - 345, x - x + 1 = r for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 126168.1 hours?\nAnswer: 454205160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 26*u + 198 = 24*u, x - 3*u = -43. Suppose 2*p = p - 39. Is p bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5792 is divided by 982?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/11)\/(p*p**(1\/10)) assuming p is positive.\nAnswer: p**(-111\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -235*m + 147.\nAnswer: -235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*o = 19, 10*o - 5*o = -2*q + 33. Let v(l) = 4. Let x(p) be the third derivative of p**4\/24 - 5*p**3\/6 + 2*p**2 - 145. What is q*x(z) + 5*v(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5883\/11 + -535. What is the closest to -0.6 in 1, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = 25. Let g = 17 - x. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450 divided by 45\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from tffmlnxn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 283055 or 23210495\/82?\nAnswer: 283055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 9. Suppose 0 = r - 4, -g + j*g = -r - 230. Let q = 407 - g. Does 35 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -33335*w**2 - 6*w - 3. Suppose 0 = 4*b + 10 + 6. Let n be 1\/(b - -3) + -2. Let q be x(n). Round q to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*c = -10, 2*m - m + 3*c + 15 = 0. Suppose 0 = -3*r + 3, m*s + 4*r = -5*s + 174. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 4 (c) -2 (d) 0.1491\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1459854ng to micrograms.\nAnswer: 0.0001459854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 3*p + 2*p)*(-16 + 13 - 13)*((4 + 1 - 3)*(1 + 2*p - 1) - p + 2*p + 0*p).\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 3543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f**3 + 145*f**3 - 49*f**3 - 48*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = n - 4*z, -5*n + 0*z = -z - 24. Let o be (2 - 0)\/n + 435\/(-6). Find the common denominator of 15\/2 and 834\/(-4)*(1\/o)\/1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 14. Let k be w(6). Let n be 134 - (k + (3 - 8)). Calculate the highest common divisor of 27 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 100 + -5c38?\nAnswer: -5b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 174, 429, 856, 1455?\n\"Answer: 86*z**2 - 3*z + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rny when three letters picked without replacement from rnrnndwrrdndwdsynw?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: c7287 (base 14) to base 5\nAnswer: 110340321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, 0.4, -0.3, -2.153?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6*n = -2*n - 10, 5*n = -3*b + 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -870, -881, -904, -945, -1010, -1105, -1236?\n\"Answer: -p**3 - 4*p - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + t**3 - t**4)*(6 + 2*t - 5 - 6).\nAnswer: -2*t**5 + 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2202788 and 4228?\nAnswer: 2202788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430 = 185*z - 310 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4348, -4321, -4252, -4123, -3916, -3613, -3196?\n\"Answer: 3*q**3 + 3*q**2 - 3*q - 4351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*j = 17, 2 = 3*j - 13. Let n(q) = q**2 - 1. Let p(c) = 4*c**2 - 5. Let w(b) = z*p(b) - 5*n(b). Let l(t) = 21*t**2. What is l(w(o))?\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 280 or 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f - 4946 - 10894 = 121*f + 52*f for f.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -39, -96, -177, -282?\n\"Answer: -12*r**2 + 3*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 3.9. Let h = -11.67 + -1.53. Let c = 13 + h. What is the nearest to c in 2, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*g + 13673, 0 = 8*z - 11*z - g + 41089. Is z a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n. Let x = 76 - 73. Suppose -x*t + 216 = -n*t. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 5, d: 1, r: 1, j: 1, m: 6}. Give prob of sequence mdm.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 21*s - 14*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 4 - 4)*(-z**2 - z**2 + 4*z**2)*(-z + 4*z - 4*z).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -89*x**3 + 403*x**2\/2 + 1314*x. What is the first derivative of y(r) wrt r?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8362353 is divided by 1641?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 43. Solve -j = -s + i, 0 = 4*s - s - 2*i - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1. Let z(d) = -2*d + 2 + 2 + 8. Let l(f) = -12*u(f) - z(f). Let a(r) = -4*r + 1 - 1. Determine l(a(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 10}. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.11 (b) -38 (c) 0.08 (d) 1\/8 (e) 27\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-44) - (-16)\/(704\/(-1714)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*p**6 - 79*p**5*w + 2*p**2*w + 10085*p*w wrt p?\nAnswer: -6600*p**3 - 4740*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 62. Suppose -8*j + 4259970 = -a - l*j, j = -2. Let r be 4\/(-6) - (a\/(-15) + 2). Round r to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (0 - -17) - (-253 - -257).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*g, g + 2*b = 3*b. Let j(c) be the first derivative of 3\/8*c**4 + 1\/12*c**6 + 0*c**2 + 3\/10*c**5 + 2 + 1\/6*c**3 + g*c. What is y in j(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 105467 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81890212 is divided by 208.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -250946007.\nAnswer: -250946004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - (-20 + -43) - 152\/14?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*u + 19. Calculate the remainder when 15 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**4 - 4*r**4 + 1 + 7*r - 2*r**3 + 4*r**3 - 5*r**4 - 2*r**2 in the form o*r + x + p*r**4 + a*r**3 + b*r**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 953 + -d25?\nAnswer: -3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8292.548 centimeters in millimeters?\nAnswer: 82925.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*h + 6 = 0, -4*h - 4 = c - 5*c. Suppose 2*k - 23 = d + c, 3*k - 2*d - 35 = 0. What is the remainder when 42 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpnpvvffppfvu. Give prob of sequence ff.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2952032, -2952033, -2952034?\nAnswer: -2952035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306225303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 + 2 - 22*a**2 - 2 + 9*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 + 0*t**2 + 0*t**2 + (-6 + 4 + 1)*(t**2 - t**2 - 2*t**2) + (-8718 + 8718 + 323*t)*(2 - 2 - 6*t).\nAnswer: -1932*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001369 rounded to six dps?\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*q + 1 + q - 2*q - q + (4*q - q - 2*q)*(-1 + 5 - 2) + 2*q + 3 - 3.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 12:54 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/195 and -33\/50?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2767, 11057, 24859, 44167, 68975, 99277, 135067?\nAnswer: 176339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -114*o - 18. Let q(c) = -c + 2. Let z(p) = -2*q(p) + y(p). What are the prime factors of z(-5)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960504?\nAnswer: 2, 3, 31, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*l = -3*l + 3, 3*f + 4*l = -23. Let k = -87 - -84. Let h(d) = 2*d - 7. Let q(x) = -x + 4. Give f*q(m) + k*h(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 26*n + 96. Let a(v) = -v**2 - 1. Let t(m) = -3*a(m) - g(m). What is the units digit of t(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 at most -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47252596 a multiple of 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 651124316 by -4.\nAnswer: -162781079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336433143.\nAnswer: 3, 112144381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6) + 5962\/132. Let l = y - 25. Suppose -4*t - l = -9*t. Which is the nearest to -3? (a) -1 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 + 1.3. Suppose 3*w - 14 = -4*h, 5*w + 5 = -2*h + 19. Which is the smallest value? (a) h (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -34, -49, -64, -79, -94?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*y - 5, -81*r = -85*r - 5*y + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111040 is divided by 1657?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 636612954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3595 is divided by 385.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036*p = 29307 + 7989 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1646 and -55\/6.\nAnswer: 4938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 + 89*c - 559. Let d be i(20). Solve 4*w + 4*h - 4 = 0, -14*w - d = -19*w - h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 981*2\/162 + -13?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s - 2*t + 83, -161 = -2*s + t. Let z = s - 36. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 3, y: 1, s: 4, z: 4}. What is prob of picking 2 w, 1 i, and 1 z?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/(-2)*(-4)\/(-5). What is the units digit of (-240)\/(-56) - (-4)\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y + 27*y + 6*y + 8*y to the form m*y + z and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w - 192*w - 4 - 49*w.\nAnswer: -251*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y + 3*y - 26. Let a(v) = -v**3 - v - 1. Let q(n) = n**2 - n. What is y*a(g) - 2*q(g)?\nAnswer: -2*g**3 - 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -v - 0*a, a - 20 = -4*v. What is the remainder when 9 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 - 5*j**2 - 112443*j - 7 + 112450*j. Suppose 5*w - 6 - 29 = 0. Give p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-20\/11)*(l*l\/(l**21\/l)*l)\/l)**(-6))**16 assuming l is positive.\nAnswer: l**(20928\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 1, o: 1, b: 5, x: 3, r: 1}. What is prob of picking 2 b and 1 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-893)\/(-19))\/(-141)*48?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 23 = b - u, 3*u - 21 = 3*b. Let d be (36\/(-8))\/(3\/b). Suppose -25 = -d*w + w. Solve w*i - 4*h = -33, 6 - 17 = 3*i + 2*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.662911737 + 0.1161\nAnswer: 25.779011737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -261.360032 to 1 dp.\nAnswer: -261.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 9*h**2 - 17*h - 1. Give y(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6973691*l**3*q**2 + 5*l*q**3 + 7*q**3 - 22354441*q**2 wrt l.\nAnswer: -20921073*l**2*q**2 + 5*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -28*s + 58. Let o be q(2). Solve -2*b = -o*k + 18, 2*b + k - 24 = 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7095)\/33 - (2 + 4). Let j = 288 + t. Suppose 5*u - 90 = -3*i, 9*u + 5*i = 4*u + 90. Calculate the remainder when j is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q**3 - 21*q**2 + 26*q + 38. Is t(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 12. Let i = 26 + -12. Calculate the remainder when d(i) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -105*c - 1. Suppose 0 = 8*y - 9*y + 58. Suppose -y + 56 = 2*d. List the prime factors of w(d).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/((-18)\/60*4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -254\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1689 + -933. Suppose -8*o + 612 = -a. Calculate the highest common factor of 114 and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbv when three letters picked without replacement from ggrgvvjrwjbbgrrrggv.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 30*g**2 + 2*g - 8. Let m be y(2). Suppose -3*v = -o - m, -3*o = 3*v - 5*v + 68. Calculate the remainder when 159 is divided by v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 16 + -8 + (1 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyyoyyy. What is prob of picking 3 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, t: 2, n: 1, y: 4}. What is prob of picking 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19099*v**5 - 8*v - 2.\nAnswer: -381980*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 7:56 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 plus -107?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.928 + -0.072. Let c = s + 28. Let f = 7 + -4. What is the nearest to f in c, -3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, -31, 2 in ascending order.\nAnswer: -31, -5, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/9 + 2\/(-3). Suppose 5*h = 2*y - 8 + 46, -5*h + u = 5*y. Let x = h + -3. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6480) + 2)**2 - 4*sqrt(6480)*4)*4*4 + 5.\nAnswer: -4608*sqrt(5) + 414789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 2. Let x be 2\/(-5) + (-3 - 138\/120). Let k = x - -43\/10. What is the closest to k in t, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -13 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 + 2\/(-4)*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -8, -3*r + 4*r = -3*w + 8. Suppose -w*i + 2 = -6. Solve i*k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, k: 5, u: 4, b: 3}. Give prob of sequence ke.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 59*m**2 + 201*m - 203. Calculate the remainder when 1003 is divided by t(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -68?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190 + 231. Calculate the remainder when 367 is divided by w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/53? (a) -5\/4 (b) 0.5 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 321?\nAnswer: -4\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14041030 (base 5) in base 10?\nAnswer: 143265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**2 + 5*v - 5. Let k be j(5). Calculate the greatest common divisor of k and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 4:21 PM?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.7 - 5. Let k = i - -4. Round k to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65554833 and 4904.\nAnswer: 524438664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/688 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**3 + u. Let j be 3508\/13 - (-6)\/39. Let l = 271 - j. Determine i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1095765229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnuynyyuyb. Give prob of picking 1 j, 1 y, and 2 n.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = -20 + 71 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*2908.65\nAnswer: 11634.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i + i**2 + i)*(8 - 8 + 2*i + (3*i + i - 3*i)*(2 + 4 - 4)).\nAnswer: 4*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 9:01 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 19*t**2 + 2*t + 1. Let s be 4 + -3 + (2 - 1). Let x be d(s). Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttjtjtjtttjj. What is prob of picking 1 t and 1 j?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g - 8. What is the units digit of i(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 158545.\nAnswer: 317090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -562\nAnswer: -112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -2\/95, -3, -0.3, -0.056?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1141855 and -0.37.\nAnswer: 1141854.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r + 3 + r**3 + 3*r - 4. Let s(u) be the first derivative of 7*u**4\/4 - 3*u**2 - 6*u + 2. What is 6*d(g) - s(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + n + 4 - 5, -3*d = 6*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/24 + (-2)\/12. Let a = h + 4. Which is greater: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -604 in -0.06, 222, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-8))\/(-4*(-4)\/32). Solve -15 = 5*i - 4*d, -s*i = -7*d + 5*d + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13336.\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274507577?\nAnswer: 3, 7, 563, 35933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 4445*q. Let s(y) = 3*y. Determine s(r(z)).\nAnswer: 9*z**2 + 13335*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**3 - 2 + 9*o**2 - o**3 + 6*o**3 + 11*o. Let f be j(10). Suppose 21 = 5*v + 3*a - f, 0 = 5*a - 15. Solve -r = 2 - v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**3 - j**2\/2 + 11*j - 11. Let c(m) = -7*m**2 + 2*m - 22. Let d(u) = 2*c(u) + 5*l(u). Calculate d(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 0*v**2 + 5\/2*v**6 + 4\/3*v**3 - 11\/5*v**5 - 2*v**4 + 1 + 0*v. Suppose s(k) = 0. Calculate k.\nAnswer: -2\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -100.4? (a) -2 (b) -5\/34 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from uututupttpu?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8880, 10501, 12122?\n\"Answer: 1621*s + 7259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6159, -10945, -15735, -20529, -25327, -30129, -34935?\nAnswer: -39745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1. Let l(g) = g - 3*g + 8 + 3*g. Let y be ((2*3)\/(-3))\/1. Let f be -2*(3\/y - -2). Give f*l(x) - 6*r(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/(z*z**(-8)))**(-15\/4)*(z**6*z\/((z*z*(z\/(z\/(z\/(z**8*z))))\/z)\/z))**(-3\/19) assuming z is positive.\nAnswer: z**(-4455\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91459.04 millilitres to litres.\nAnswer: 91.45904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 15*w**2 + 3. Let l be y(15). Suppose -l = -3*i, -3*g - 18*i + 629 = -13*i. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*b + 26, -2*b + 16 = -4*j + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**12\/(s\/(s*s**(-3)*s*s)*s))**(-3\/23))**(2\/5) assuming s is positive.\nAnswer: s**(-12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o - 55 + 73 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9269709*a**5 - 45910469*a**2?\nAnswer: 556182540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539707499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -0.3 (b) 5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 5*f + 47. Determine i(8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 + -33) - (15 + (-22 - 5) - -14)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 - 1. Let j be s(1). Let i(o) = -878*o - 5253. What is the lowest common multiple of i(-6) and (0 + 1)*(7 + j)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udc when three letters picked without replacement from {c: 1, d: 6, u: 7, q: 1}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {d: 4, j: 1, v: 1, a: 1, l: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28*u. Let a(t) = -3*t - 2*t + 4*t - t. Calculate a(k(x)).\nAnswer: -56*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 2*i**2 + 3*i + 2. Let y be v(-3). Suppose 0 = 5*t + 5*w, -2*t + 4*w = y*t - 24. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 338 + 812. What are the prime factors of n?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*d - 17 = 0, 2*h = -7*d + 12*d + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 + 98 = -6*z. Let y be 2 + 1*z + 1 + -3. What is the hundreds digit of (-927)\/(-5) + y\/(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 1096*a**2 + 151242*a + 298116.\nAnswer: 2*(a + 2)*(a + 273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:08 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = a - 7, 2*a = -3*m + 13. Suppose -4*x - z + 18 = 0, 2*x + 3*z + 12 = x. What is the remainder when x is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 44. Which is smaller: -1\/14 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1385)\/(-10)*1)\/(4870\/23). Let z = v + -2\/487. Find the common denominator of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6426 to 1 dp.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1371 + 17813\/6855. Let d = 8\/369 - -1436\/1845. Let 0*k - 4\/5*k**3 - g*k**4 + d*k**2 + 0 - k**5 = 0. What is k?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -2588\nAnswer: -2588.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.44733 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 48687.\nAnswer: -25\/48687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -111359325?\nAnswer: -22271865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53136228.\nAnswer: 2, 3, 1709, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1132 and 502306888.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*l - 9 = l, -12 = 3*l. Suppose -r*q = -2*q. Let i(d) = d**2 + d + 7. Let g be i(q). Solve 2*v - 1 = g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 3. Let i be b(3). Suppose i = 3*q - 5*q - 22. Let o = 15 + q. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -15 - 7*y - 3 + 17. Give o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, -3, -2, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.6951 take away -83.41?\nAnswer: 157.1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*m - 614*m - 6*m + 0 + 0 to p*m + v and give p.\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -485, -719?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**3\/3 - 1. Let q = 14 + -12. Let h(l) = q*l - 4*l + 6*l. Calculate i(h(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 147. Let d be x(0). Let z = d - -1031\/7. Solve 0*j - 2\/7 + z*j**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5633\/6 + -933. What is the common denominator of n and 5\/(-20) - 91\/44?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107536 and 19928.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 2214337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((-2)\/(-36)). Suppose -4*s = -p*s + 18. Let i = 0 + s. Solve i = -3*g, -4*g - g - 30 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 8, 5*m - 23 - 6 = 2*k. Suppose 0 = -0*z + m*z - 20. Find the third derivative of z*p**2 - 3*p**2 + 4*p**3 - 3*p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*f + 58, 0*z + 5*f = -2*z + 118. Which is greater: z or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1874 - -2.2. Round m to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294994 to the power of 1\/2, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 3, f: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -622108*n**2*v**2 + 4*n**2*v - 3*n**2 + 1315*n*v - 2*n - 3 wrt v.\nAnswer: -1244216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 3. Let s(q) = q**3 + 5*q**2 + 4. What are the prime factors of s(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, 2\/1741, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6136 and 7865172.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -182*j + 4193. Let m be g(23). Put 3, 2, m, -25 in increasing order.\nAnswer: -25, 2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 2, o: 1, w: 1, y: 1, i: 1}. What is prob of sequence vo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 14*t + 8. Let l be g(16). Let d = -15 + l. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -453*d - 159931. Give v(-353).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 29*s - 141. Give n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.8564 weeks in microseconds?\nAnswer: 195263550720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:23 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.08 + 0.9. Let k = b + 0.27. Let z = -0.59 + k. Sort z, -1\/3, 3.\nAnswer: z, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/(-5)*(-66)\/(-11)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*s - 16 - 20 + 34)*(-4*s + 4*s - s) to x + v*s**2 + i*s and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103 - 2*z**2 - 91 + 10*z + 10*z - 153*z**3 + 195 - 15*z to the form u*z**3 + h*z**2 + k*z + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 964, 1924, 2872, 3802, 4708?\n\"Answer: -z**3 + 967*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 v when four letters picked without replacement from {t: 2, n: 3, z: 5, v: 3, h: 1, p: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -6\/85, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1*t)\/t**(4\/5))**8*(t**7\/(t\/(t**(1\/2)*t)))**(-6) assuming t is positive.\nAnswer: t**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/20 and -3666 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50110 - -50107. Let u be 1 + -3 - (-114)\/48. Which is the closest to u? (a) -2\/17 (b) 10 (c) -5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 742?\nAnswer: 3\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 6*a**2 + 10 - 1.\nAnswer: 6*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(600) + sqrt(600))\/sqrt(12).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0422 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -30*b - 1. Give h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 11*b**2 + 0*b**2)*(-5*b - 8*b - 3*b)*(-5 + b**2 + 5).\nAnswer: -144*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40 + 4\/12*0. Suppose -8*z = -7*z + a. Let d be 2\/z + (-3)\/12. Does d = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45388501 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4505 - -2.38. Let m = f - 10.7095. Let p = m + 11. What is p rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4901 less than -3?\nAnswer: -4904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-105) + (-4)\/14. Let o = 0.6 - 0.4. Let j be 0\/(((-279)\/93)\/(-2 + -4 - -3)). What is the closest to o in y, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47546833157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 19 = -12. Sort m, -4, -5.\nAnswer: m, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*p - 4*d, 73*p - 75*p - d + 33 = 0. What is the greatest common factor of p and 30979?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -22. Suppose 0*w + 3*w = -a*j - 36, 3*j - 4*w + 8 = 0. Is 1 - (-2 + j*29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2875*m - 161033. Give s(-56).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1155938 times 0.6\nAnswer: 0.06935628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8949, -18332, -27715, -37098?\n\"Answer: -9383*w + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9 and -113\/4880.\nAnswer: 43920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d + 33. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 3*v**2 + v - 3. Let k be s(3). Solve k = -j - 12 + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134 and 16942.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(80) - (-1*sqrt(80)*3)**2 - (1 + sqrt(80))*-6)*2 + 1.\nAnswer: -1422 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314.2447 litres to millilitres.\nAnswer: 314244.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*g + 13. Let d be g + -4*(-3)\/(-2). Sort 4, d, 1, -4 in ascending order.\nAnswer: -4, d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*g + 2 = 0, -3*g + 4*g - 15 = -2*c. Let d = c + 5. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -3*b + 42 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 318, 709, 1254?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139.6 - 143. Which is the nearest to 0? (a) 4\/9 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1110, -804, 6, 1572, 4146, 7980?\n\"Answer: 42*t**3 + 12*t - 1164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**5 + 6846*t**2 - 3883*t - 2?\nAnswer: 40*t**3 + 13692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 4\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4026707*b**4 + 16422748*b**2?\nAnswer: 96640968*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuutuuutuut. Give prob of picking 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 3*a + 3. Let h = 0 - 2. Let w be v(h). Calculate the highest common divisor of w and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39325 and 5434?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -69*v**3 - 502*v**2 - 41*v + 72. Let f(h) = -102*h**3 - 752*h**2 - 62*h + 108. Let n(u) = 8*c(u) - 5*f(u). Factor n(y).\nAnswer: -2*(y + 6)*(3*y - 1)*(7*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 2\/4533?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 3. Suppose 7*b - 5*d + 39 = 4*b, -b - 4*d + 4 = 0. Let o(u) = 23*u - 15 - 15*u + 8 + 12 - 10*u. Give b*w(n) - 5*o(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -253023 (base 11) in base 6?\nAnswer: -12320421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178 and 2848.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 428075 or 428113?\nAnswer: 428075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*((q\/(q*q**8))\/q*q)\/q)\/q)\/(q*q**(-7))*(((q\/(q*q*q\/(q\/(q\/q**(3\/8))*q)))\/q)\/q*q)**(4\/11))**(-21) assuming q is positive.\nAnswer: q**(1659\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 58 = 13. What is the remainder when (-3)\/n + 376\/6 is divided by (-297)\/(-54)*2\/((-10)\/(-12)*(-45)\/(-75))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/27*7920\/27. Let r = i - 326. Is 1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180654*x + 12*x**3 - 180653*x - 5*x**2 + 5*x**2 + 361307*x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200.5 plus 134775.539?\nAnswer: 133575.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 6*d**2 + 3*d**2 - 2*d**2 to the form j + k*d**2 + t*d and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7*h + 9 = -6*h, 2*o - 4*h - 18 = 0. Which is the second smallest value? (a) -36\/11 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386 - 0.1993\nAnswer: 385.8007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512928 is divided by 10362.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9957 and -2.\nAnswer: -19914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1144226 and 536?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 42314450541?\nAnswer: 42314450535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, b: 5}. What is prob of sequence bd?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1 - -2) + (-56 - -44) + 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 23453*h + 2955005. Calculate f(-126).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3973458, 3973454, 3973448, 3973440, 3973430?\n\"Answer: -k**2 - k + 3973460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oulaudauajaaa. Give prob of sequence da.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**4 - 1\/2*d**2 - 61\/6*d**6 - 38*d + 15 + 0*d**3 + 0*d**5. Find the second derivative of t(x) wrt x.\nAnswer: -1220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4704 - 3928. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -5*o + 1\/18*o**4 - 3 + 4*o**2 + 8\/9*o**3. Find h, given that s(h) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 3*j**4\/28 - 23*j**3\/7 + 12*j**2 + 240*j\/7 + 1953. Let l(i) = 0. What is i?\nAnswer: -1, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y**25*y)*y**(-6\/17))\/((y\/(((((y*(y\/((y**(-13\/2)\/y)\/y))\/y)\/y)\/y)\/y)\/y*y))\/y**10))**(-1\/25) assuming y is positive.\nAnswer: y**(267\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 4*v - 4*v + 3*v. Let m(w) = 6*w**2. Give b(m(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(143)*2*5*5)\/((sqrt(704)*1 - sqrt(704) - sqrt(11)) + 6*sqrt(176)).\nAnswer: 150*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 + -0.41. Suppose s + 2 = 3*s - 5*t, s = t + 4. Let d = s + -6. Sort 0.5, d, j in decreasing order.\nAnswer: 0.5, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:10 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30853139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3920 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 9869 in decreasing order.\nAnswer: 9869, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, -22, 42, 146, 302, 522?\n\"Answer: 2*f**3 + 2*f**2 + 16*f - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64227 or 578050\/9?\nAnswer: 578050\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) - (-936004)\/18. Let o be 25\/((-156002)\/x - -3). Round o to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389 divided by -7\nAnswer: 389\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 11*t + 42. Let g be q(12). What is the units digit of g + 16\/(-56)*(0 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -156.\nAnswer: 17\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.5. Let q = -6737 + 6732. Which is the nearest to -1.1? (a) 3\/7 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1066769, -1066764, -1066757, -1066748, -1066737?\n\"Answer: p**2 + 2*p - 1066772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -11. Let v = 5.1 + c. Let n be (-1)\/(-2) + (-21)\/(-14). What is the closest to v in 0.1, -3, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95337157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 24 = -4. Let r be ((-8)\/v)\/(4\/(-14)). Suppose -4*w + k + r*k = -92, -8 = -2*k. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b**5 + 0*b**4 + 0 + 0*b - 1\/70*b**7 + 0*b**3 + 0*b**6 - 1\/112*b**8 - 3*b**2. Let n(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65041901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61, -93, -97, -73?\n\"Answer: 14*u**2 - 74*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 707\/2020 + (-2260)\/100?\nAnswer: -89\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -18540*r - 185306. Calculate a(-10).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9 + (-2)\/(-9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122836*0.2.\nAnswer: -24567.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.892694993 + -0.8927. Round f to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(10\/4)*(-570)\/(-152).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -513 + 516. Which is the second biggest value? (a) -62 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5187 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2057 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-30))\/((3\/(-18))\/((-18)\/(-24))). Factor 0 - 3\/4*t**4 + 3*t**3 - x*t**2 + 0*t.\nAnswer: -3*t**2*(t - 3)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.66 + -0.5. Let g = u + 50.16. Let f = g - 48.9977. What is f rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83070 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u**2 - 5*u. Let r(f) = -22*f**2 - 11*f. What is -5*r(c) + 11*v(c)?\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13533375 by 2706675.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1957 + 1957.09. What is the nearest to g in 0.4, -5, -2\/9, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -3) + 4 + (10 - -2) + -26 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 8. Let n be x(-6). Let i = -0.5 + 0.1. Sort n, 0, i.\nAnswer: i, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9652 + -4445. Does 50 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -81\/13 (c) -2\/11 (d) 25 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 1059816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 5. Let l(d) = 1. Let o(c) = -h(c) - 5*l(c). Let q be o(3). Solve 3*u = q*g - 18, 6*g + 4*u = g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 404*u + 281 wrt u.\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 2*h**2 - 10*h + 11. Let p be q(3). Let g be (21\/p)\/(2\/8) + 1. Is (-2 + 2 - g) + 2101\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -574 times -79?\nAnswer: 45346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = 0, -5*n + 166 = -w - 184. Suppose n*o + 68 = 70*o. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 + 116*s - 483. Give n(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653608 - 55928 = 12*t + 4*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 n = 206 - 292. Let s = n - -145. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7367*t + 73668. What is b(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1085876 divided by -29348.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1715*l + 2534. Determine v(1).\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/689, -10, -0.4, 0.4, -2\/11 in descending order.\nAnswer: 0.4, -2\/689, -2\/11, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Work out 8881822 * -2.6.\nAnswer: -23092737.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45220 and 3073260?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 865 + -618. What are the prime factors of s?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 21202*y - 92767128.\nAnswer: (y - 24924)*(y + 3722)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 806581723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 1.2. Let g = -1 + 2. Let u = -0.9 + g. Which is the closest to o? (a) u (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -17*u + 11. Suppose 0 = 10*k - 3 - 57. Let c(m) = 8*m - 5. Give k*b(o) + 13*c(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 937, 1715, 3011, 4825, 7157, 10007, 13375?\n\"Answer: 259*p**2 + p + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73\/5 in -1.695, -5, 5, 2, -2\/9, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-28) + 2\/(-8). Sort q, 0.4, 0.1 in descending order.\nAnswer: 0.4, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2362233?\nAnswer: 3, 457, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664738 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 498 + -227. What are the prime factors of c?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-3)*0 + 0. Suppose -79 = 2*r - b - 27, m = 2*b. Let u = 8 + r. Do -1 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + 12\/28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddqqqqqdpddqpzpddqdp. What is prob of sequence qzqd?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 11106816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6608 and 96250?\nAnswer: 45430000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 8*((2 - 5) + -4). Solve -b = -16*g - 84 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/(1\/110). Let i be ((-22)\/4)\/((-4)\/(-8)). Let r = 15 + i. What is the greatest common factor of r and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let g(b) = 113*b**2 + 8*b - 1. What is p(g(m))?\nAnswer: 113*m**2 + 8*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and (22\/5)\/((-1)\/(-5)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 26*l**2 + 13*l - 18. Let a(v) = 12*v**2 + 6*v - 8. What is 7*a(p) - 3*i(p)?\nAnswer: 6*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -5, 138, 15.\nAnswer: -5, 0, 8, 15, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 28 - (44 + -59 + (17 + -8 - 4))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*x**3 - 9*x**2 + 200*x**3 - 77*x**3 - 31*x**3 + 3706*x - 1144*x wrt x.\nAnswer: 876*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(11) - (sqrt(88)\/sqrt(2) - sqrt(11))**2) - (2*sqrt(1100) + sqrt(1100)) - ((sqrt(11) + sqrt(198)\/sqrt(2))**2 + sqrt(176)*-3).\nAnswer: -165 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/((sqrt(8)*5 + sqrt(8))*1).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = 2*m + w, 4*m = -w - 12. What is the closest to m in 0.1, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -12 - (-17 + 9)) + 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 376. Let d = w + -92. Solve 2*i - 5*g = -21, -d = 4*g - 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.14, 3\/4, -1\/7 in ascending order.\nAnswer: -1\/7, -0.14, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3862623720?\nAnswer: 2, 3, 5, 17, 127, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 9\/12 + (-5)\/(-20) - -18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 848 = 3*o - 484. Suppose -4*z + o = -z. Suppose 0 = -3*v + 7*v - 4*h - z, -165 = -5*v + h. Calculate the greatest common factor of v and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + -8. Let o = l + 50. Suppose 2*k - o = 7. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109 and 3512416.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56608*s + 18*c = 56605*s + 363, 0 = 6*s + c + 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242228295.\nAnswer: 3, 5, 23, 227, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2899 = s - 3*h, -8 = h - 3*h. What are the prime factors of s?\nAnswer: 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + (-4 - -3) + (-79 - (-19 + -11))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309139 is divided by 4037?\nAnswer: 2327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 76*g + 290. Let t be m(-8). Let r = -409 - t. Put 2, 5, r in ascending order.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 663*a + 12. Let i(r) = -r**2. Calculate b(i(h)).\nAnswer: -663*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 107 + -478561?\nAnswer: -478454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqqqzzrrzlzraz. Give prob of sequence ql.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -16*d + 22*d. Let u be ((-783)\/(-87))\/(d*(-1)\/(-30)). Suppose 0 = 5*w - 138 - 12. What is the greatest common factor of w and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 12:16 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 22 + 70. Suppose 28 = -19*u + t*u. What is the greatest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*s = 3749, 6*a - a - 3*s = -6227. Let h = 12449\/10 + a. Let v = 1193 + -9595\/8. What is the common denominator of v and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(288) - sqrt(288)) + sqrt(288).\nAnswer: 3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -71 (b) 36\/193 (c) -97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + -15. Let t = 35 + y. What is the smallest common multiple of t and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42829 = 2174*s + 162399 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157820*r + 157825*r + 130 = 0 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 163973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5060 and 48400?\nAnswer: 1113200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:37 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((153\/72)\/17)\/(12\/17733216) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1517660 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10671937 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 107*z - 140. What is the remainder when 1661 is divided by v(-52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-11) + 5\/99. What is the closest to 2\/3 in -1\/6, 6, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379 > 454917\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100111 (base 2) in base 14?\nAnswer: 4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-20 + -4) - (-9 + (-3 - -3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8300722 is divided by 4150348.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 6*i**4 + i**3 + 3*i**4 - 3*i**4 + 2*i**4 + (3*i - 3*i + 2*i**2)*(-2*i**2 - 3*i + 3*i).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*l + 37, 1535*l = -m + 1531*l - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 + 4*n**2 - 2*n - 20. Let t(v) = -v**3 - v**2 + v + 7. Let q(p) = 4*g(p) + 11*t(p). Give q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/7101 and 5\/8.\nAnswer: 56808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 + 3*l - 1. What is d(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 95, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 24877492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, 1\/23, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 13) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = 6*l. Suppose 3*t - l*s = -s + 81, -4*s = 5*t - 167. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 96525.24 days?\nAnswer: 138996345.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-6))*18\/(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(1\/4)*v)\/v)*v*v**4*v)**(3\/2) assuming v is positive.\nAnswer: v**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24229 is divided by 1425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17968308*u**3 + 8310104?\nAnswer: 53904924*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 15. Sort 4, 3, d, -5.\nAnswer: -5, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*l**3 - 111441826*i*l**2 + 17105*l**3 + 2*l**2 + l - 1118 wrt i?\nAnswer: -l**3 - 111441826*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/12 - 2*m**3\/3 + m**2\/2 - 7*m. Calculate s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019214376 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 28 = 2*s - 109, 2*s = -4*j + 36. Let y = 11 + -7. Suppose -2*r = -b + y, -r = 3*b + r - s. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + -8 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 23\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:47 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 596, 959, 1396, 1931?\nAnswer: 2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 6*h**2 + 11*h + 5. What is the remainder when r(6) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12043 - -4?\nAnswer: -12035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 5\/4, -1\/55 in decreasing order.\nAnswer: 5\/4, 0.09, -1\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(-41)\/(m**3\/m**(-2\/11)) assuming m is positive.\nAnswer: m**(-1007\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from tzm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 18*t**2 + 73*t - 19. Suppose 0 = -5*y - 3*f + 147, 0 = -2*y - 7*f + 5*f + 58. Is d(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 2044 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80) + -3 - (sqrt(10)\/sqrt(2) + -2 - (1 + sqrt(5))*4))**2*5.\nAnswer: 210*sqrt(5) + 1270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 88*a**2 + 32*a - 1408.\nAnswer: -2*(a - 44)*(a - 4)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1703073.\nAnswer: 3, 37, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 9 - 54*n + 9)*(3*n - n - 3*n) to the form p*n**2 + g*n + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549621 is divided by 21959?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1805\/27436*(33\/(-15) - -1)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591.6*0.004.\nAnswer: -2.3664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4484*w + 4485*w + 6 - 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59287.94kg to nanograms.\nAnswer: 59287940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 - (-8)\/3024*-138.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 3)*(-2*s**2 + 0*s**2 - s**2 + (s - 5*s - s)*(s - s - 2*s) + 0*s**2 + 5*s**2 + 3*s**2) as j*s + x + u*s**2 and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 3, 8, 2, -0.5, 7\/20763?\nAnswer: 7\/20763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + -4*(sqrt(847) + 0 + sqrt(847)))**2.\nAnswer: 528*sqrt(7) + 54217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167387369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23\/11*t - 10\/11 - 13\/11*t**2 = 0. What is t?\nAnswer: 10\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Let d(j) = -440*j - 1 + 887*j - 442*j - 5*j**2. Give -d(v) - 3*n(v).\nAnswer: 2*v**2 - 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**4\/8 - 2*g**3\/3 - 13*g**2. Let a(h) = h + 7. Calculate the remainder when a(0) is divided by m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1673273 and 1641.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1994608 (base 10) to base 2.\nAnswer: -111100110111101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-145)\/(-30))\/29)\/((-16)\/6)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -0.09, -1.\nAnswer: -1, -0.09, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-2 - 6) - -4. Which is the closest to -2\/7? (a) n (b) 2\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**4 + 10*w**3 - 20*w**2 - 40*w = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/23 (b) 3 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*i = -58*i - 52327. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21927.\nAnswer: 3, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3))**(1\/6)*(z*(z\/z**6)\/z)**(-4\/5) assuming z is positive.\nAnswer: z**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815289?\nAnswer: 3, 359, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145 - 3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 3340, 0.28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + m**2 + 3*m + 5. Suppose 0 = 2*f + 4*v - 6, 4*f + 0 - 12 = -v. Let i(s) = 6 - 10 + 2*s**f - 4*s + 2*s - s**2. Determine 5*i(u) + 4*x(u).\nAnswer: -2*u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3 - 199815*p**2 - 1996401615*p - 1996201805 = 0. Calculate p.\nAnswer: -19981, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 + 0.347. Let z = n + -0.343. Let k = -12.336 - z. What is k rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 38683 = -32*k + 6087. Calculate the greatest common factor of 550 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) -0.3 (c) 2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5 - 27696*m**4 - 193758*m**3 - 304440*m**2 - 138375*m = 0.\nAnswer: -9225, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35081 is divided by 17490?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/8)*p)**(7\/2)\/(p**(-6)\/p**(-2\/37)) assuming p is positive.\nAnswer: p**(5851\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33128\/(-303)*1*(-9)\/(-12)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4))**(2\/13))**7 assuming m is positive.\nAnswer: m**(-7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**7\/42 + 91*k**6\/30 + 1351*k**4\/12 + 2589*k. What is the third derivative of b(v) wrt v?\nAnswer: 60*v**2 + 2184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -310770000 to the nearest 1000000.\nAnswer: -311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 147 = -32*b + 239, 0 = 2*b + 3*x - 9. Factor 4\/3*i**4 + 24 + 116\/3*i**2 - 52*i - 12*i**b.\nAnswer: 4*(i - 3)**2*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*r + 227 + 28, 5*c + 267 = r. Let g = c - -129. Suppose 4*n + g = 8*n. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.5. Let l = 0.035 - -2.965. What is the third smallest value in l, m, -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 3*g + g)*(2*g + 2*g - 2*g)*(245*g + 515*g + 238*g) - 2*g**3 + 2*g**3 - 8*g**3 to m*g**2 + k*g + w*g**3 + h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 9 = 1. Let g be (-14)\/d + (-15)\/(-10). Put -3, g, 1 in increasing order.\nAnswer: -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1481*t**2 - 2*t - 4. Let l(f) = 2*f**2 - 1. What is -a(n) + 4*l(n)?\nAnswer: -1473*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165098 is divided by 74215?\nAnswer: 16668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -1 (b) -14 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3658*k + 2*n - 8 = -3656*k, -5*k = 2*n + 55 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Let s(q) = 235*q + 292. Let a be s(4). Suppose r - 2*g + 200 = 611, -5*g - a = -j*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3.1 (b) 2 (c) -0.11 (d) 21\/8 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(32\/12)*23\/(161\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (424\/106)\/(-2*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 196 = -259. List the prime factors of v.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125460513 divided by -3\nAnswer: -41820171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 4 + 5 + -6. Let g(i) = -4*i**3 - i - 2. Let w be (0 - 1)\/1*-5. Let b(d) = -2*d + 0*d + 0 - 3 - w*d**3. What is h*g(s) - 2*b(s)?\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**4\/7 - 32*n**3\/7 + 34*n**2\/7 - 12*n\/7.\nAnswer: 2*n*(n - 1)**2*(5*n - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 9:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -125, -464, -803, -1142?\n\"Answer: -339*g + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11307, 11387, 11521, 11709?\nAnswer: 11951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82796 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 1014 - 1000 = 4*m, 41 = -5*m - 4*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -362 - -423. What is the remainder when 425 is divided by f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to 340671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u - 210. Calculate q(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 138678966 = 5*m. Let x = m - -4574387. What is x rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -11*r**7\/210 + 11*r**4\/24 + 7*r**2. Find the second derivative of j(v) wrt v.\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 51810802.\nAnswer: -1\/25905401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - 198\/(-27). Solve 4*m + l = z, m = z - 0*m + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/90 and (-5 + (-1057)\/(-210))*77\/(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 21*p = 17*p - 4568 + 4568 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1288c44?\nAnswer: 1288c3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 3. Let j(m) = -m**3 + 5*m**2 - 2*m - 3. Let v be j(5). Let f = v - r. Which is the nearest to -2? (a) -3\/7 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 23752*p - 1816. Let l be z(33). Round l to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1882*k**3 - 10*k**2 - 5*k - 5. Let v(f) = -50813*f**3 - 272*f**2 - 136*f - 136. Determine 5*v(z) - 136*y(z).\nAnswer: 1887*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -472\/51 (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 4\/49, -293, -0.5, 1\/9, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 11*d**2 - 9*d - 110. Determine z(-12).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 5:36 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 - h**2 - 41)*(-2*h + 6*h + 0*h)*(-1 - 1 + 4) as t*h**2 + y + x*h**3 + s*h and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81850 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.403 and 1506684987.\nAnswer: 1506684991.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.9531 times 0.7?\nAnswer: 32.86717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(24)\/(-4*sqrt(12)*-6)*5.\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14716 is divided by 14665?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -15633714616 and -0.2.\nAnswer: -15633714616.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/21)\/(0 - 6\/7). Suppose s*b**5 - 1\/3*b + 2\/3*b**4 + 0 + 0*b**3 - 2\/3*b**2 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 6677\/1815) + 18\/33. Is -101 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 34, -131, -12, 2, 5 in ascending order.\nAnswer: -131, -12, 1, 2, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 21*b + 6*b)*(2 - 2 - 1) + 6*b - 4*b + 2*b + (-3*b + b + 3*b)*(3 - 2 - 3) - b + 5*b - 3*b + 3*b - 3*b - 9*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/30 and -55\/266319789?\nAnswer: 2663197890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + l + 7, -4*y - 10*l + 37 = 123 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 2*a - 2, 8*v = 9*v + 4*a + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -36452265000 to the nearest 1000000.\nAnswer: -36452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by 95832?\nAnswer: 13\/8712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 6:35 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5410 and 28?\nAnswer: 75740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.38 + 0.02. Let g = 26 + -27. What is the closest to g in -2, c, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 10208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o. Let y = -29 + 2. Let d be y\/(-5) + (-4)\/10. Solve 0 = -5*l - d*w + 5, 0 = 3*l - o*w - 2*w + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m**2 - 3*m - 6*m**2 + 9*m**2 + 22*m**2 + m - 16*m**2.\nAnswer: 38*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -137cc - 1?\nAnswer: -13800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3853, 4017, 4181, 4345, 4509, 4673?\nAnswer: 4837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*d - 1454*d**2 - 4 + 1459*d**2 + 3 + 3*d)*(3*d**2 + 0*d**2 - d**2).\nAnswer: 10*d**4 + 120*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/8 - 12271*i**3\/2 - i**2\/2 + 24542*i = 0 for i.\nAnswer: -2, 0, 2, 49084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2866330081 to the nearest integer?\nAnswer: 53538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -41*x + 6. Is f(-3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -25. What is the biggest value in k, 0.05, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -163*c**2. Let m(k) = -1830*k. What is m(b(r))?\nAnswer: 298290*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 563216 * 0.054\nAnswer: 30413.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 1669 + 1516 = 0 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30060980.\nAnswer: 2, 5, 1503049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 141\/2*28\/21. Let b = -55 + s. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13142 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q**2. Let c(n) = n**2 + 1177*n - 1177*n. Calculate c(b(a)).\nAnswer: 100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1*4*5\/(-20))\/(15\/21)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + 66*x**2 + x - 28*x**2 - 42*x**2 - 40 - x**3 + 0*x**3 to the form i*x**3 + s*x + g + y*x**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4281 - -4285. Solve 0 = i + w + 6, -w = -i + 3*w + d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*f + 2*a, -51 + 54 = 2*f + a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let p be (g - (-111)\/3)*1. Suppose n - p = -n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iniiiiiiiiniiiniini. What is prob of picking 2 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*y - 25*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 6:17 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 1:46 PM?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69.04277 years?\nAnswer: 828.51324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r - 4. Let q be g(-1). Let u be ((-118)\/q - 1\/(-3)) + -1. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 5 = 29. Suppose -2*x + 24 = k. What is the remainder when 29 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -0.2. Let j = -823 - -822.5. What is the fourth biggest value in 3, j, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1446*i - 1450*i = 4*l - 3768436, -942129 = -l + 4*i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63076607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17*(-3)\/9 - 8\/84*-7. Let j(i) = 16*i + 78. What is j(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p - 37*p + 27*p = 2088 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 7*f**2 + 6*f + 9. Let b = 11 + -17. Calculate the lowest common multiple of i(b) and (5\/(50\/(-45)))\/((-1)\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 5. Let b(a) = 8*a**2. Let g be b(1). Let n be f(g). Does 5 divide 84\/9 + 2\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/5 (c) 799 (d) 1520\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(4\/7)*o))\/(o\/o**(2\/43)))**26 assuming o is positive.\nAnswer: o**(-11934\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5.2 (b) -1\/3 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.52 times 0.0638813\nAnswer: 0.097099576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/12)\/((-5)\/20). What is the second smallest value in y, -7, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -668*d**2 - d**3 - 67*d + 1359*d**2 - 690*d**2 in the form b*d**2 + q + j*d + o*d**3 and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 68432 = 24*u - 22*u, 2*v = -2*u + 68440. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*k*u**2 + 2*b**3*k*u*y - 2*b**3*y - 3*b**2*k*u**2*y + 2*b**2 + 2*b*k*u*y - 3*b*k*u - 11*k*u**2 wrt u.\nAnswer: -2*b**3*k - 6*b**2*k*y - 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 504, 1013, 1524, 2037?\nAnswer: 2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10467059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 72 + -4*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 25*i**4 - 8795*i**3 + 699319*i**2 + 848703*i + 255564 = 0.\nAnswer: -3\/5, 124, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90 + 78 + 0*q - 3*q + 113 + 1205*q**4 + 172 wrt q.\nAnswer: 14460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3070496 by 50336.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 0*m - 3*m)*(11 - 11 + 6*m**3) + 0*m**3 + 9*m**4 + 0*m**3.\nAnswer: -63*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*h + q + 7, 5*q = -5*h - 35. Let v = 18 + h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sppv when four letters picked without replacement from spssspvppqm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196385 and 3038?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1039888209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*j**2 + 24221585*j + 9688630 = 0. What is j?\nAnswer: -968863, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (42\/(-189))\/((-2)\/18). Factor 0*k + 0 - 1\/5*k**x.\nAnswer: -k**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8460913 is divided by 272932?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhymhrpmhm. What is prob of sequence yph?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d**4*j**2 - 113*d**4*j + d**3*j**2 - d**2*j**2 + 15*d*j**2 + 4*j**2 - 70 wrt d.\nAnswer: 240*d*j**2 - 2712*d*j + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8 = -4*z, -4*r + 3*z = -129 + 97 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*u = -23, 4*u - 6 = -18. Let b(t) = -t + 1. Let x be b(-4). Suppose x*l = -g + 54, -2*g + 16 = h*g. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.05 and 3309360.\nAnswer: 3309358.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3 - 1 = -11*v, 101*v + 14 = -5*k + 102*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*7*1*-6. Let x(f) = f**2 + 18*f - 171. Let v be x(7). Let z be (-15)\/r*v\/(-5). Which is the closest to -0.2? (a) 0.2 (b) -9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, g: 7, y: 3}. Give prob of picking 3 f.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g. Suppose 4*x = 3*w + 10, 7*x = 3*x + 4. Let t(f) = -2*f**2 + f. Let r(d) = 128*d**2 - 44*d. Let k(q) = w*r(q) - 88*t(q). Determine k(l(v)).\nAnswer: -320*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198 - 5*d - 17*d**2 - 198 + 13*d**2 to f*d + h + m*d**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11*q - 14*q - 3 = 0, 0 = -4*q - 4. Let v = 110 - 106. Solve h*d = d + v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*b + 31, 4*b + 6 = c - 3*c. Suppose 1 = 4*y - 43. Let m = -6 + y. Put b, m, -2 in increasing order.\nAnswer: b, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 3607320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1823 and -0.61?\nAnswer: 1112.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 329549969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and 8.285028.\nAnswer: 306.546036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 - 6 = 0. Calculate the common denominator of (-1348)\/180 + c\/(-10) and 24\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -5) + 20 + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -25, 66, -28 in increasing order.\nAnswer: -28, -25, 0, 6, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-4 - 1) - (-1 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 1)\/((-48)\/(-1432848)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 63. Let n(u) = 5*u**2 + 4. Let g(h) = -11*h**2 - 9. Let f(i) = 8*g(i) + 18*n(i). Give w(f(t)).\nAnswer: -4*t**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 1:28 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4275570 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194073772.\nAnswer: 2, 19, 3049, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 1944?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 972, 17, -5 in ascending order.\nAnswer: -5, 17, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 21. Let u = 5 - -26. Suppose -s = 3*v - u. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.89174 rounded to 3 dps?\nAnswer: -0.892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-68)\/11781)\/(20\/30).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5*k + 8. Let d be p(-6). Let y = 6 + d. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 = 17*s - 6. What is the greatest common divisor of 140 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 2*v - v)*(-2*v + 9 - 9) + (v**2 + 2*v**2 - 2*v**2)*(-6 + 3 + 2) + 2*v**2 - 6*v**2 + 3*v**2 to t*v**2 + y*v + p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2. Suppose 4*k - 34 = 2. Let g be -1 + 3 + -4 + k. Let l(m) = 3*m + g*m - 11*m. Give l(h(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55129761 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3, u: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1792, 1543, 1118, 517?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-30) + -1 + 93\/(-90).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 + 16*w**2)*(2*w - 2*w + 2*w**2) as p*w**2 + t + k*w**4 + z*w + r*w**3 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.79 - -1.7900007. Round h to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-142)\/(-7) - 424\/1484. Solve 4*f - 3*a - 16 = 0, -5*f - 6*a + 3*a + u = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 9*t**2 + t + 7. Let v(h) = -2*h**2 + 30*h + 143. Let o be v(-4). Calculate q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5762*g - 3. Let k(t) = 11556*t - 7. Determine 10*j(v) - 4*k(v).\nAnswer: 11396*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 20*c + 17 + 10 + 35.\nAnswer: 20*c + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -767.454 smaller than 9\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064 * -86.9.\nAnswer: 5.5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.625 take away 227?\nAnswer: -510.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44342 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - 0) - (1 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -145, -293, -565, -1003, -1649?\nAnswer: -2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 + f. Let g(w) = -15*w**2 + 3*w. Let k be ((-4)\/34)\/(82\/(-1394)). Suppose 3 - 11 = 4*d - 2*y, -4*d = k*y + 16. Give d*g(p) + 8*m(p).\nAnswer: 5*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x**4\/2 - 12081*x**3\/2 - 23309*x**2 - 25806*x - 6980 = 0.\nAnswer: -2, -10\/7, -2\/5, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -10. Suppose 3*c + 3*d - 2 = -8, 0 = -5*d - h. Suppose -3*y + c = -13, 5*n = -5*y + 830. What is the greatest common factor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21 - -31) + -3 + 4 + -6)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47391022 times 5\nAnswer: 236955110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 1451*o - 33943. What is k(23)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 913*n + 98586. Calculate f(-108).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**7\/42 - z**6\/6 - 3*z**5\/10 + z**4\/12 + z**3\/6 + 12*z**2 - 979*z - 1. What is the third derivative of g(v) wrt v?\nAnswer: 60*v**2 - 120*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20374 - -23017. What is the remainder when u is divided by 121?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + 2*c + (2*c + 2*c - 2*c)*(-4 - 2 + 4) - 3*c + 3*c - c - c - c + c)*(3 - 3 - 3)*(-8 + 11 + 8).\nAnswer: 264*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*x = 65 + 7, -4*l + 108*x = 54*x + 52*x - 74 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 6*d + 114. Let i = 35 - d. What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 3*k**2 - 3*k**2)*(0 - k + 2*k + 3).\nAnswer: k**5 + 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 31*f**2. Let z(o) = -141*o + o**2 + 141*o - 2*o**2 + 0*o**2. Give b(z(m)).\nAnswer: 31*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + 2331\/(-105))*5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 68*y**2 - 25*y + 3. Let w(k) = 67*k**2 - 30*k + 3. Determine 6*o(r) - 5*w(r).\nAnswer: 73*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31972, 33853, 36986, 41371, 47008, 53897?\n\"Answer: 626*z**2 + 3*z + 31343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*f - 54, 120*f = -4*x + 71*f + 45*f - 136 + 32 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 12 - 23)*(-4*k + 0*k + 6*k) to b + v*k and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11498111939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 68, 90, 112, 134, 156?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038529.1ms in minutes?\nAnswer: 33.975485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 3*b. Let k(w) = -3*w**2 - 5*w. Let o(s) = -5*g(s) + 3*k(s). Calculate o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/(-15) + 4)*-93. Let p = a + 130. Calculate the remainder when 105 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 2.5.\nAnswer: -47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7106219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*c - 3792 + 7338 = -9510 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 861910196 to the nearest integer?\nAnswer: 29358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-15 - -1) + -4. Suppose s + v = 2*q, -3*s = 4*q - 3 - 7. Suppose -71 = -4*b - 3*f, -b - b = q*f - 28. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 290 - 61*u**3 - 290 + (0*u + 0*u + u**2)*(-2*u + 1 - 1) - u**3 - u**3 + 3*u**3 - u**3 + 0 + 0.\nAnswer: -63*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355353*y**2 - 177683*y**2 + 1335*y**5 - 177678*y**2 - 7 wrt y?\nAnswer: 80100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.157117 micrograms in tonnes?\nAnswer: 0.000000000008157117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.017, -2\/7, 4 in descending order.\nAnswer: 4, -0.017, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 - (2 - -1) - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126046060 divided by 20.\nAnswer: 6302303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 24528?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 17, 3, -3, 151400 in decreasing order.\nAnswer: 151400, 17, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 3) + (20 + -4)*2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888548479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238b2 (base 13) in base 9?\nAnswer: 108405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62 and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300221 (base 4) to base 14.\nAnswer: -11c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -94, -329, -686, -1171, -1790, -2549, -3454?\n\"Answer: -c**3 - 55*c**2 - 63*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.6 - -35.6. Let l be (-3)\/(-14) + 4\/14. Which is the nearest to -1\/3? (a) g (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/20700 and 1\/21204?\nAnswer: 12192300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -3)\/(19 + -6 - 11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.04 - 20. Which is the smallest value? (a) 1\/2 (b) d (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*x + 88*x - 15245228. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 468543, 468538, 468531, 468522, 468511?\n\"Answer: -g**2 - 2*g + 468546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*i - 237 - 303, 5*a + i = -883. Let f = -145 - a. What is the lowest common multiple of 11 and f?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12019 = -2*h, -364*h + 362*h - 5*t + 12009 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -212*c**5 + 11332*c**4 + 95092*c**3 + 155452*c**2 - 148448*c - 113216 = 0.\nAnswer: -4, -29\/53, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + -77. Suppose -3*j + j + 14 = 5*w, 0 = u*w - 4. Which is the second smallest value? (a) -2 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/4 - 7*c**3\/3 + 4*c**2 + 6*c + 47. Let p(b) = -b + 4. Let i = 33 + -21. Let f be p(i). Give k(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**2 + 394955 - 394972 - f**2 + (0 + 0 + 2*f)*(0 + f + 0) as l + a*f**2 + k*f and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 2 - 6*l + 1\/2*l**2. Let d be (15\/6)\/((-148)\/(-296)). Calculate x(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4312 and 74872?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.1, 4, 2\/7, 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427.724t in nanograms?\nAnswer: 3427724000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by 132.\nAnswer: 125\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7548085*l**2 - 9778699.\nAnswer: -15096170*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 4*g - 8*g + 14*g + 7. Let c be r(3). Calculate the highest common divisor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015846384 rounded to five decimal places?\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5696 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/69 and 40\/129.\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/4 - 2*c**3\/3 - 3*c**2\/2 - c - 2. Let r be n(-2). Let o be 69 + -66 + 5*1. Put r, 1, o in descending order.\nAnswer: o, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/56 and (-24)\/81*(-15)\/35?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5078552 divided by 1269638.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-42)*9)\/((-3)\/21). Let z = 54 + d. What is the remainder when z is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.74 * -0.12\nAnswer: 0.8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*l - 37*l - 11696 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -2)*-6)**2.\nAnswer: -1440*sqrt(17) + 61344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*2*sqrt(95))\/(sqrt(5) + sqrt(5) + -6*(sqrt(10)\/sqrt(2) - sqrt(5))))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 21 + 1332. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((-19 - 5) + 11 - -2 - 53)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 74, 97, 104, 89?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*k - 17573 - 34*k + 17573 in the form r + i*k and give i.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.5175744?\nAnswer: 0.5175744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 10, -9, 40?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o + 51. Suppose 3*b = 4*z + 2*b - 52, z - 24 = 3*b. Let p be i(z). Put p, -4, -13 in increasing order.\nAnswer: -13, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544398721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35832.\nAnswer: 2, 3, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 24*d**2 + 49*d + 51. Suppose 0 = -2*l + 5*p - 57, -30 - 39 = 3*l - 2*p. What is the tens digit of i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -2\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s - 2*s)*((-4*s + 0*s + 3*s)*(3 - 7 + 2) + s - 2*s + 2*s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5188.998 + 5195. Let o = k - 0.002. Which is the closest to 3? (a) -4 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 3*p**4\/4 - 11*p**3 - 3*p**2\/2 + 33*p - 1330. Let g(f) = 0. Calculate f.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 54*m + 5. Let n be s(0). Solve -18*r + 65 = -n*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.10518 and -0.01.\nAnswer: 0.1910518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 709372 = 4*o - 205387, -2*o + 609840 = 2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inz when three letters picked without replacement from {x: 1, d: 3, q: 1, i: 8, z: 2, n: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -60*a**2 - a - 1. Let o be ((-3)\/9)\/(4\/(-24)). Let r be t(o). Calculate the common denominator of (-4 - -2)\/((-24)\/r) and -29\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c7283a + 5?\nAnswer: -c72835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -167 + 2?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3\/5 - -2 - (-2)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 8*n**2 - 11*n - 13. What is the remainder when a(-9) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 4078*w\/5 + 4076\/5.\nAnswer: 2*(w - 2038)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -17*r**4\/12 - 34*r + 2. Let i(s) = 4*s**2 - 3*s**2 - 4*s**2 + 4*s**2. What is h(i(q))?\nAnswer: -17*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**7\/525 - g**6\/300 - g**5\/75 + 2*g**2 + 33*g. Suppose i(p) = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/120 - a**4\/8 - a**3 - a**2. Let v(n) be the first derivative of l(n). Calculate v(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 + 170. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/((-27)\/(-39)))\/((-5)\/90). Calculate the remainder when (c\/15)\/(4\/(-480)*-3) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24096 and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 9:24 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (sqrt(2400)*-2*-6*-1)\/((-1*sqrt(144)*6)\/(sqrt(768)*-1)).\nAnswer: -160*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozzo when four letters picked without replacement from {o: 3, z: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2875, -5229, -7583?\nAnswer: -9937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40354640 and 1032?\nAnswer: 121063920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*z - 72*z**3 + 13*z + 68*z**3 as s*z**2 + w + n*z + i*z**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 38 - 107*y**3 - 139*y**3.\nAnswer: -246*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*j**2 - 17365*j + 17365*j - 730*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 9*j + 75. Let n be z(14). Sort -8, -2, n, 16.\nAnswer: -8, -2, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 6. Suppose m - 397 = r - 4*r, 0 = -l*m + 2. Let u(t) = -t + 7. Let v be u(-5). Calculate the greatest common factor of v and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 14*c**2 + 11*c - 28. What is the remainder when g(3) is divided by 50?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5 = -5*k. Suppose 5*p + k = -4, -3*p + 48 = -l. Let x = -47 - l. Do 8\/3 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 341*v**2 + 2306*v + 124. Determine k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**24*u*u**26*u*(u**(4\/3))**(-11) assuming u is positive.\nAnswer: u**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpbpnbnpbnbnbnb. What is prob of sequence bbnp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 4)*(-2 + 0 + 0) + ((-1 + 4 - 2)*(-2 + 1 + 3) + 3 - 1 + 0 + 14 - 4 + 3)*(-3 - 6 - 1))*(-2*s - 2*s + 9*s) as d*s + a and give d.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.0988 to one decimal place.\nAnswer: 173.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 3*o - 4. Let u(d) = -2*d**2 + 4*d - 6. Let f(x) = 2*x**3 - 6*x**2 - 19*x. Let m be f(5). What is m*u(r) - 8*q(r)?\nAnswer: -2*r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - ((-27 - -3) + 12 - -12 - -4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 785 + -5?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + 26*h**2 + 25*h + 18. What is the smallest common multiple of (-3104)\/(-36) - (-2)\/(-9) and r(-12)?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/4 + (-4)\/16. Suppose -22 - 11 = -11*t. Solve -l*m + 4*v - v = 8, 0 = t*m + 2*v + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12203957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7089 + 1.6089. Let j = 79.93 + -0.93. Is i greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55178?\nAnswer: 2, 47, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 2c28c25?\nAnswer: -2c28c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 5*w**2 - 3*w**2)*(-w**3 + 0*w**3 + 3*w**3) + w**3 - w**3 - w**5 + 6*w**5 - 2*w**5 - 3*w**5 + (-w - 3*w + 2*w)*(0*w**3 + 0*w**3 + w**4).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2 + 4*k. Let q(v) = 6*v**3 - 5*v**2 + 8*v - 16. Let s(i) = 20*b(i) - 4*q(i). What is o in s(o) = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 48 = 2*m, 7*m = 5*s + 10*m - 62. Let j be (-4 + (-234)\/(-45))*s\/4. Solve 0 = -2*n - 6, -j*h - n + 1 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = -4*r - 3*r + r - 3*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.52 - 2.52. Let g be (-1)\/2 + 1*(0 + 1). Sort 3, g, 2\/7, a.\nAnswer: a, 2\/7, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 273761, 4, -4, 1\/4 in descending order.\nAnswer: 273761, 4, 1\/4, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - c = 8, 3*w = -5*c - 2 + 14. Sort w, 5, 3 in descending order.\nAnswer: 5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -1\/125, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(-27 - 7*i + 27)*(26 + 44*i**3 - 12 - 12) as q*i**3 + j*i**2 + u*i**4 + l*i + y and give u.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540\/25 + 6\/15 + 1?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - 7.97. Let w = 7.47 + g. Let j = w + 0.18. Round j to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.26 or 0.478?\nAnswer: 0.478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3937360 and 590604.\nAnswer: 11812080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*z**2 + 23*z**2 - 947*z**2)*(-3 - 2*z**3 + 3).\nAnswer: 1904*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + -2)*6\/(-8). Let x = f + -73\/8. Let s(j) = j - 7. Let i be s(7). What is the closest to 0 in x, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3537768*d**2 + 7075858*d**2 - 3538091*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -11\/5 (c) 1162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 61*a + 8. Let m be c(20). Let u be m\/585 + 6\/(-45). What is the second biggest value in -4, -2\/7, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 31, 49, 65, 79?\n\"Answer: -n**2 + 23*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + -0.42. Suppose 0*n - 2*n = 3*p + 25, 5*p + n = -30. What is the closest to 0.1 in o, -2, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 - u**4\/6 + u**3\/6 + 131*u**2\/2 + 2333*u. Let y(h) = h**2 + 3*h - 4. Let n be y(-4). Is 39 a factor of i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/2)\/(-8))\/1*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332846435?\nAnswer: 5, 59, 1128293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let r = 29 - -32. Let w(s) = 34*s + 35*s - r*s. Calculate w(n(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.523 + 0.023. Let l = c - -4.1. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -123*j**3 - 19*j**2 + 22*j + 13. Let b(w) = 61*w**3 + 9*w**2 - 11*w - 6. Let q(g) = 13*b(g) + 6*o(g). Find the third derivative of q(l) wrt l.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5786 + -418. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/45 and -37\/828.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 25. Suppose -2*p + 16 = c. Suppose -5*u = -0*w - 2*w + 22, 0 = p*w + 4*u - 56. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*f + 150*f - 38*f + 3 to the form k*f + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/4*-1*(-12)\/(-27). Suppose 76 = c*h - 1814. Is h a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60b (base 12) in base 16?\nAnswer: -36b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Let l(f) = 1 - q*f - 3*f**2 - 3*f**2 - 7*f**3 + 4*f**2 + 3*f**2. What is l(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*(-2)\/4*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*x + 103 = 0, 0 = 5*l + 4*x + x - 595. What is the second derivative of -55*i**3 + 2*i**2 - 55*i**3 + l*i**3 - 4*i wrt i?\nAnswer: 78*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.954192um to nanometers.\nAnswer: 7954.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/377 + 1038\/11687. Find the common denominator of -83\/10 and a.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(78)*-3 + sqrt(78)*3*-6 + sqrt(78))\/(sqrt(6) + -5*sqrt(216) + sqrt(150)*6))**2.\nAnswer: 8788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 0) + 1 + 17 - (-7 + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35050420.95 rounded to the nearest 10000?\nAnswer: 35050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 747834?\nAnswer: -747833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -49. Suppose -9*d + c*d + 1200 = 0. Let a = 371 - d. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12935511.\nAnswer: 3, 659, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 1, r: 1, c: 4, d: 1}. What is prob of picking 1 p and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 - 179. Suppose v = -6*k + 1 + 11. What is the nearest to -4 in -4\/5, 0.5, k?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 3436257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 2618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-2))\/1 + 45\/(-108 + 18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 466*j - 980*j + 479*j + 945 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i**5 - 456*i**4 + 339*i**3 + 3714*i**2 + 1764*i + 216 = 0. Calculate i.\nAnswer: -2, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 321244009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-11*(7 - (-158)\/(-22)) - 4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 4*r + 252, 387216*v - 387217*v = 9*r - 567 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(520)*-3)\/((sqrt(20) + sqrt(80)\/sqrt(4))\/sqrt(2)).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/7385 and -11\/8440.\nAnswer: 59080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/(-5)*(0 + 1). Let u = p + -19. Solve 10 = u*i - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, z: 4, t: 2, e: 7}. Give prob of picking 1 t and 2 z.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 179087900 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: Is 592 a factor of 43301101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -10.7. Which is the nearest to 2\/3? (a) -0.5 (b) q (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.004 (b) 5 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*p. Let o be 2*((-15)\/6 - p). Sort -4, -1, o.\nAnswer: o, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1724269\/65 + -26528. Let b = 436062\/35 - 12458. Calculate the common denominator of b and v.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2 + (-1 + 1 + 2)*(-7 + 4 + 2) - 6 + 3 + 1)*(-120*z**2 - 42*z**2 - 3*z**2) in the form y*z**2 + k + o*z and give y.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - -0.43. Let t = -993 + 997. What is the third biggest value in t, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**1*x**(-4)*x*x**(5\/2)*x**(1\/3) assuming x is positive.\nAnswer: x**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from covoevvvvtcvtt. What is prob of picking 1 o and 1 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 287 - 200. Let j = 144 - h. Let n = j + -56.9999752. Round n to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -149762, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 3*h**2 - 5*h + 2. Let a be d(2). Let k be (45\/(-10) + (-2)\/a)\/(-4). Solve -4*q + 9*q - s - 4 = 0, -4*q = -3*s - k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 + -28 - (10 + 8) - 10\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7947 - 61*r - 52*r + 8424 - 44*r. Give l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9543.49 nanoseconds in microseconds?\nAnswer: 9.54349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*b + 20 = 6*b, 104*n - 100*n - 16 = 6*b for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4569*r + 128 = -4561*r. What is the greatest common divisor of 196 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -98*p + 93*p. Calculate the remainder when 1046 is divided by p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**3 - 19*v - v**2 - 15*v**3 + 2*v**4 + 3*v**2 - v**3 wrt v.\nAnswer: 48*v - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 1896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 368.7 - 369. Let d = 35.1 - 35. What is the biggest value in 2\/7, 5, z, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -1\/193, -0.23 in ascending order.\nAnswer: -107, -0.23, -1\/193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*o**2\/5 - 513372*o\/5 + 60396\/5.\nAnswer: 3*(o - 10066)*(17*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 - j**3 - 34 + 87 + 39.\nAnswer: -j**3 - 15*j**2 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -956, -3615, -8864, -17567, -30588, -48791, -73040?\n\"Answer: -144*t**3 + t**2 + 72*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000922678 rounded to 6 decimal places?\nAnswer: -0.000923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*(j*j**(3\/4))\/j)\/j))\/j**(1\/2))\/(j**(-9)*j**(-3)) assuming j is positive.\nAnswer: j**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (39\/10)\/(348\/(-1914) + (-244)\/110) and 23\/348.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109305\/22 or -4968?\nAnswer: -109305\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -7*g**4\/4 + 3*g + 14. Differentiate m(i) wrt i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -238 - -243. Let w(l) be the first derivative of l**3\/3 - 3*l**2 + 4*l + 1. Determine w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:10 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27995694757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*k + 10 = -290*k + d, -90*d + 180 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.2, 0.2, 5059262?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -477 at most as big as 1145884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Let p be (-1 - -3) + t + -1. Suppose -3*b + 51 = p. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-14)\/3))\/(15\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 27 = -9. What is the nearest to y in -1\/3, -0.2, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*z - 64, -5*z - 65 = -4*u - u. Factor -6*q**4 - 2 + q**4 - 8*q**3 - 8*q - u*q**2 + 6*q**4 - 3*q**4.\nAnswer: -2*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/15 and (-2)\/25*((-151099)\/7788 - 2\/11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 39*h + 127. Let c be a(-6). Suppose 0*k = 2*k - 298. Let y = k + c. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.2 (b) -3 (c) 1561991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Let w(t) = t - 7. Let m be w(4). Let c = a + m. Solve 4*v + c = -11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81704 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 + 3*y**3 - 4 - 79*y**2 + 0 - 2*y**3 + 80*y**2 to the form z + o*y**2 + j*y + g*y**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/147 and -13\/805.\nAnswer: 16905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 5 - 20*d**2 + 21*d**2 - 2*d - d + d**3 to the form p + t*d**2 + j*d + h*d**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5.39\nAnswer: -5.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449493648.\nAnswer: 2, 3, 103, 90917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:41 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1154.869245 + 67.\nAnswer: -1087.869245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 957.5559mm?\nAnswer: 95.75559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 + 124. Solve 5*a = -t*r - 1, r + 0 = -2*a - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k + 314*k**2 + 5*k - 324*k**2 - 15*k**3 wrt k.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/24*(-16)\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**2*s**4 - 822*c**2 + 23450283*s**2 - 82128*s wrt s?\nAnswer: -84*c**2*s**2 + 46900566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 7)\/(0 + (-6)\/4). Solve 5*s - 33 = -x*w, 4*w + 5*s + 15 = 56 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5908 + 967*y**2 - 3*y**3 + y + 11833 - 5927 to s*y**3 + t*y**2 + w + g*y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - 82. Let r(s) = s**3 - 14*s**2 - 15*s + 1. Let k be r(u). Let z = 0.4 - 3.4. Which is the nearest to 2? (a) -4 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -3*k**3 + 86 + 0*k + 3*k**2 + 3\/4*k**4. Factor u(l).\nAnswer: 3*l*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k - 5. Suppose 4*r + 5*v - 22 = 0, 6*r - 7*r - v + 5 = 0. Suppose 5*p - 4*y + 8*y = -32, 0 = -3*p - r*y - 21. Determine f(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 5*w - 10. Give c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 17*a**5\/20 + a**4\/2 - 289*a**2\/2 + 3*a + 46. What is the first derivative of p(r) wrt r?\nAnswer: 51*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95376576 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.484 + -3.991. Round f to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 133*c**4\/6 - 89*c**2\/2 - 290*c. Find the first derivative of n(i) wrt i.\nAnswer: 532*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(38)\/sqrt(2) + sqrt(19) - sqrt(19))**2*-6.\nAnswer: -120 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3))**36*(f\/(f\/(f\/(f*f\/f**(2\/11))*f*f)))\/(f\/(f*f**(2\/7))))**(-38) assuming f is positive.\nAnswer: f**(-39406\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -142, -219, -296, -373?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Is x + (33 - (-2 - -2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 take away 4.44813?\nAnswer: -304.44813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 13. What is the remainder when 19 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/18860 and 63\/4.\nAnswer: 18860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 4*c - 370*c**3 + 365*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.167\nAnswer: 0.0835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334 - -334.00002705. Round g to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1906 - 23*o + 22*o - 67*o**3 - 939*o**2 + 948*o**2 wrt o?\nAnswer: -402*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-1 - sqrt(156))*2)\/((sqrt(12)*-2 + sqrt(12))*3).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 1)*(0*j**4 + 0*j**4 + j**4)*(58 - 36 - 451 - 199) to p*j**2 + s*j + v*j**4 + h + r*j**3 and give v.\nAnswer: -1884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 12*z**2 - 6*z + 65. Calculate k(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2650120 by -760.\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3557350127 * -0.1\nAnswer: -355735012.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -194*p + 451. What is the tens digit of c(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-64419)\/(-12) - (-10)\/(-8)?\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j + 3*n - 75, -592*n - 5 = -593*n for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 480484*u. Let i(b) = 5*b + 2. Determine v(i(t)).\nAnswer: 2402420*t + 960968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 59946*a**3 - 157852*a**3 - 55968*a**3 + a.\nAnswer: -153874*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 7*o**4\/10 + 2*o**3\/3 - 2*o**2\/5 - 3. Determine d, given that z(d) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51887431*h*n**2 - 17186*h*n + 285*h - 2*n - 3 wrt n.\nAnswer: 103774862*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/r**(-25\/3))\/r))**(-1\/34)\/(r*r\/r**(-31))**41 assuming r is positive.\nAnswer: r**(-68992\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/6)\/(26\/39).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 = -3. Calculate the remainder when k\/(-6)*2 + 27 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 728, 1468, 2208, 2948, 3688?\n\"Answer: 740*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s + s)*(-7*s + 3*s + s) - 40*s + 40*s - 9*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10344, -10383, -10436, -10503, -10584?\nAnswer: -10679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55, 62, 69, 76?\n\"Answer: 7*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 13*y - 12. Let z be i(12). Suppose 3\/2*q**4 + 1\/2*q**5 + 0 + 0*q**2 + q**3 + z*q = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2414 and 0.5?\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 4*v**2 + v. Let c be 2\/(-4) - 120\/16. Suppose -t = 2*t + 9. Let d be (t\/6)\/((-1)\/c). What is o(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -219300000 to the nearest 1000000.\nAnswer: -219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020 + -11101210110?\nAnswer: -11101212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggqgqqgqggqqqggqgqgq. What is prob of sequence qgg?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15069 less than or equal to -15066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(99) + 0 - sqrt(99))*4)**2*-6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/4)\/((o\/(o**(-7\/2)\/o*o))\/o) assuming o is positive.\nAnswer: o**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, h: 2, d: 2}. What is prob of sequence ddhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*((y*y**(13\/4))\/y)\/y))\/(y\/y**(3\/4))*(y**(-3\/11))**36 assuming y is positive.\nAnswer: y**(-249\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - u + 2*u = 6, 3*u - 17 = 5*q. Let d be q*12*7\/(-14). Solve 2*x - 4*x + d = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10164752 and 6793.\nAnswer: 10171545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + 1*sqrt(176) + sqrt(176))*5)**2.\nAnswer: 3200*sqrt(11) + 70800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -5.91 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**7\/105 - z**6\/30 - z**5\/30 - z**2\/2 - 3*z. Let j(v) be the first derivative of u(v). Suppose j(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 145204 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38046.7 + -0.1068454.\nAnswer: 38046.5931546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 20*q + 58. Calculate z(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1957 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-2))\/(-3 - -1). Suppose z + 5 = m. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u + 92 - 4324. Let n = -182 + u. Solve 0 = m - n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -5\/3 (c) 1\/3 (d) -16 (e) -4 (f) 124\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 14*v + 5. Let d be i(-6). Let f = 44 + d. Let y be -42*(-7)\/28*f*2. What is the greatest common factor of y and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93*3\/(-9) + (4 - 14).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g**2 + 24*g**2 - 242*g**2 + (0*g - g + 2*g)*(-3*g - g + 2*g) - 3*g**2 + 2*g**2 + 4*g**2)*(4*g + 0 + 0).\nAnswer: -936*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = -4*h - 3, 20 = 2*p - 4*h. Suppose -5*o = -3*n + 79, p*o + 123 = 5*n - 0*o. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -4. What is the smallest common multiple of f and (-2)\/5 + 44\/10?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/105 - 222\/(-15). Is (-232)\/(-406) + 71294\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 1210 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3847 + -463. Let s = 6311 - v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**2 - 2*g + 9. Let m = 12 + -10. Let a(b) = 2*b**m - 10 + 18 - 2*b + 2*b**2. Determine 7*a(c) - 6*o(c).\nAnswer: -2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 - 612*v\/13 + 46818\/13.\nAnswer: 2*(v - 153)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89154*n**5*o**2 - n**2*o**2 + 31*n*o - n + 7*o**2 - 379*o + 2 wrt n.\nAnswer: -1783080*n**3*o**2 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 5 + -2 + 15 + -17\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 32, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1111100 (base 2) to base 11\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/40 + w**3\/6 + 2*w. Let p(v) be the second derivative of q(v). Let s(x) = -x. What is s(p(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2803 + -2790. Solve -11 = -2*i - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -383 - -673. Is 60 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47508179 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20302, -40648, -61026, -81436, -101878, -122352, -142858?\n\"Answer: -16*l**2 - 20298*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -4*o, 12*o - 18 = 15*o - 5*d. Is -3\/67 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 7*d**2 + 5*d - 1. Let p be t(-6). Suppose 5*i + 25 = p. Let y = 0.32 + 0.08. Which is the third smallest value? (a) i (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/3, -4, -11?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/5572 and -59\/10.\nAnswer: 27860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20723 and 3113326?\nAnswer: 52926542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -867471*v - 295306 wrt v.\nAnswer: -867471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299371832 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -924 or -923?\nAnswer: -924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from hchhhhcchcchhh.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 27489605 and -20.31391.\nAnswer: 27489584.68609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t + 2*p + 150 = 0, 4*p = 0. Let m be (1*3)\/(t\/(-10)). Which is the second biggest value? (a) m (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 3*j - 6. Let s = -171 - -167. Give z(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -78, -2\/13, -1\/6?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64.24458 * -0.2.\nAnswer: 12.848916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 524*v**2\/3 - 9766*v\/3 - 3610\/3.\nAnswer: 2*(v - 19)*(262*v + 95)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:33 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-26) + (-62408)\/104. Let g = a - -1052. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-15)\/(-24))*((-455)\/(-49))\/(-13).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 3*k**2 + 1\/3*k**3 - 5*k - 3. Let u(o) be the first derivative of q(o). Differentiate u(a) with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8745 = -q + r, q = 5*r + 4350. Is q a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12144 - -39075. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*d**4 - 3*d**4 + 207 - 34*d**4 - 50*d**4 + 111 wrt d?\nAnswer: -408*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 4345*o**3\/3 + 8793*o**2\/2 - o - 230. Differentiate d(b) wrt b.\nAnswer: 8690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 25) + (-22 - (87 + -146))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*i = -9*i - 18, 0 = f + 3*i + 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 186\/72*-14 + (48\/624)\/(18\/39)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 15*d**3 - 14*d**2 - d - 1. Let v(z) = -z - 1. Let k(o) = -c(o) + v(o). What is the third derivative of k(y) wrt y?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2457, -4858, -7259, -9660?\n\"Answer: -2401*h - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 61 = -l, 4*z = 44870994*l - 44870997*l - 103 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 87*n + 460. Calculate d(-11).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = -3*j. Let d = 13 - j. What is the remainder when 367\/9 + 34\/153 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51.8 and 9925172542.\nAnswer: 9925172490.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2397 + 2396.98. What is the second biggest value in 3\/2, x, 0.8, 0.3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + v - 110 = 0, -d - d + 116 = -2*v. Let w be 16\/d + 12\/7. Solve -5*z = 5*i - 0*z + 5, -w*i - 3*z = 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8535*o**2 - 8533*o**2 + 17068*o**2 + 109*o**3.\nAnswer: 109*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/4)\/y**(-12) assuming y is positive.\nAnswer: y**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58507523, 58507515, 58507507?\nAnswer: 58507499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5476 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/12 + 2\/8. Suppose 0*c + 4*c + 4*q = 4, 3*c - r*q = 21. Calculate the remainder when 19 is divided by 5\/(2 - 6\/c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0357079 minutes?\nAnswer: 2142.474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20644 - -34524. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596 divided by -149\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x - 10 = 0. Find the first derivative of 0*y**3 - x + 3 + 2*y**3 + 0*y**3 wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 30. Suppose 2*j - 22 - p = 5*t, 20 = -5*t. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651222387 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**3 - 6*v**2 + 5. Let p(c) = 11*c**3 - 7*c**2 + 6. Give -6*j(x) + 5*p(x).\nAnswer: -5*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5429.54 + -5481. Let y = -0.04 + d. Let u = 52 + y. Which is the second biggest value? (a) u (b) -0.07 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/96371560 and 83\/8?\nAnswer: 96371560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3028 + 12.6972. Sort m, 0.5, -2, -18, -0.2 in descending order.\nAnswer: m, 0.5, -0.2, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*(p*p\/p**(-1\/6)*p)\/p))**37\/(((p**(-8)\/p)\/p*p)\/(p*p*p*p\/((p**(2\/31)\/p)\/p*p)*p*p)) assuming p is positive.\nAnswer: p**(-11947\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/7? (a) -5 (b) -1\/2 (c) 0.3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33585 - 10271 = -16*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-14) - (-656)\/56. Calculate the highest common divisor of 297 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -515, 10, -4 in descending order.\nAnswer: 14, 10, -4, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20.2*0.4\nAnswer: 8.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r - 16*r + 37*r - 2 - 8*r. Let d(z) = -39*z + 27. Suppose 2*x - 2 = 2. Give x*d(p) + 27*h(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 - 558742.\nAnswer: -558741.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*k**4 + 665*k**3 - 2018*k**2 - 840*k = 0. Calculate k.\nAnswer: -10\/27, 0, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*y + 23 = 36 - 13 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/(-1665))\/(26\/39)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 26236 = -277360. What is r rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 r when three letters picked without replacement from {z: 1, s: 2, m: 4, r: 4, c: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l - 1. Let z be j(0). Let o be (-2 - -4 - 2)*z. Let a = 0 - 0. Solve q + o*q = a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -36*t + 614. Give q(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 64592.\nAnswer: 193776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2811666 to the nearest one thousand.\nAnswer: -2812000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-12))\/(507\/(-338))*-6)\/(32\/912).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 54 = -5*q - 3*f, 7*q + 2*f - 19427 = -19463 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11423446, -22846879, -34270324, -45693787, -57117274, -68540791, -79964344?\n\"Answer: -l**3 - 11423426*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.965 + 418.035. Let t = 940 - s. Let n = -499.9 + t. What is n rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 8. Let c be j(-4). Let l = c - -5. Suppose -l = -m + 3. What is the least common multiple of 1 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-20) - (-456)\/(-1520). Let t be (2 + 4\/2)\/(-1). Let r be (t\/(-18))\/(2\/(-6)). Is m < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*p - 41, -4*p - 17*f = -9*p + 125 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 9 (c) 0.009 (d) -1\/12 (e) -3 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 7*y - 15 = 0. Is 13 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -11443341141?\nAnswer: -11443341201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17846 + 17845.999987291. Round c to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -29. Suppose 49*v - 260 = 39*v. Calculate the remainder when w is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = -3*m + 385. Let v(p) = -p**3 + 6*p**2 - 7*p + 5. Let f be v(5). Let s be 25\/2*(-4)\/f. Solve -4*j - s = -m*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*b + 16 = k, 16 = -2*k - 2*b. Let n be ((-20)\/8)\/5 + k\/2. What are the prime factors of (-1 - (n - -4)) + 68?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/3 - (-3 - 712\/(-256))\/((-36)\/720).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-12)*(-1 + 1 + -3). Suppose -d - 5*j + 22 = 0, -4*j = -d - j - a. What is the remainder when 55 is divided by d\/(-3) - 88\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:44 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146*l**2 + 188*l**2 + 413*l**2 + (-1 + 1 + 2*l)*(3*l - l + 0*l) + 2*l**2 + 0*l**2 - l**2 - 4 + 4 - l**2 + 2*l**2 - 3*l**2 - 2*l**2.\nAnswer: 748*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -350002*o + 8. Let a be f(4). What is a rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3037*x**3 - 1585?\nAnswer: -9111*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/11*q - 2\/11*q**2.\nAnswer: -2*q*(q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.33541 - 0.335325915. What is b rounded to six dps?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 + 4*r - 4. Let m be t(-4). Let n = -5 + 0. Are n and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**5 - 3*n**5 + 12*n**5)*(1 - 1 + 1) + (-2*n + 2*n + n**4)*(2*n + 2 - 2).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(288)*-1 + (sqrt(288) - (sqrt(288) + sqrt(288)*-1))*2)\/(6*((sqrt(1089) - -2*sqrt(1089)) + sqrt(1089))*-6).\nAnswer: sqrt(2)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 351 divided by 3\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3)*(-15)\/(-1050)*5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -22 + 14 + 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*n - 5*m - 3, 5*n + 2*m = 17. Suppose 4*q = 4*p - 92, 4*q - 5*q + 91 = 5*p. Let u = p - 11. Solve -k = n*z + 15 - 2, -4*z = 2*k + u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66854874 to the power of 1\/2, to the nearest integer?\nAnswer: 8176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69 + 62)*48\/(-7). Calculate the highest common divisor of 30 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202620373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y. Let z(o) = 5*o**2 + 6*o + 6. Let x(a) = -6*a**2 - 7*a - 7. Let d(p) = -6*x(p) - 7*z(p). What is d(n(b))?\nAnswer: 169*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2414 = -r - 6*r + 960. Is r a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3398*x - 3356*x + 6143*x)*(4 - x**2 - 4) to i + w*x**2 + r*x + o*x**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:39 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*s**5 + 2 + (3 + 1 - 5)*(-2*s**5 - s**5 + s**5).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*k + 5*r, 37*k - r = 41*k + 62. Which is the nearest to 2.6? (a) 1 (b) 4 (c) k (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6*g + 960. Let d(t) = t**2 + t - 80. Let n be d(-11). What is the greatest common divisor of g and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -1)*(205\/30 - 7). Let u(x) be the second derivative of g*x**2 - 31*x + 0 - 1\/3*x**3 + 1\/12*x**4. Factor u(v).\nAnswer: (v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 41. Sort -6, 5, f in ascending order.\nAnswer: -6, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, i: 5, d: 1, n: 7, e: 2}. Give prob of picking 1 e and 1 i.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -14, -1, -0.1, 5 in increasing order.\nAnswer: -38, -14, -1, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3110 - 5?\nAnswer: -3115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 8176\/12 - -4*6\/36?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/24971 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/6 (c) -2\/13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -113922+-3\nAnswer: -113925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117197 is divided by 117112.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 + 172. Find the second derivative of 3*h - 2*h**3 + 21*h**4 + 5*h**3 + 32*h + t*h wrt h.\nAnswer: 252*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57905614 or 57905609?\nAnswer: 57905609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 1. Let n(m) be the first derivative of -m**4\/4 - 4*m**3 + m**2 + 8*m + 8. Let i(w) = -2*f(w) - n(w). What is the units digit of i(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 434 and 124?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8805\/(-1761))\/((-16)\/2).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 16) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -551850077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 14*o**5 + 20*o**3 - 20*o**2 + 4*o**5 - 10*o**4 + 10*o + 12*o**5.\nAnswer: 2*(o - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 7*r**2 - r - 1. Let q be w(-7). Let l(a) = a - 4. Let n be l(q). Find the second derivative of 4*y**5 + n*y - y - 2*y**5 wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6983*i**2 + 526*i**3 + 6983*i**2 - 525*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*c - 175*c - 534*c)*(-49*c**3 - 2*c + c**4 + 49*c**3).\nAnswer: -621*c**5 + 1242*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1086 in -1\/4, 2\/43, -1\/89, -2\/7, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 4 - 5*f + 2 + 4*f.\nAnswer: 4*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23551 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/5931?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + sqrt(1539))**2*5.\nAnswer: 810*sqrt(19) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -82*t - 434 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801900 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -28*w**2 - 45*w - 623. Calculate b(-9).\nAnswer: -2486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 41. Suppose t*b - 4*b - 21 = 0. Suppose 64 = -b*w + 79. Solve -7*l = -w*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*b = 5*b - 4, 6 = 2*t - b. Let v(j) = j**2 + j**2 + 5*j**t + 4 + 8*j - 5*j**3 + 6*j**3. What is v(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*y**3 - 55*y**3 + 138*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5855 + 5855. Let m(b) = -2*b - 53. What is m(l)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 4*p**2 - 4*p**2 + 0*p**2 + 4*p**2 - 5*p**2 + 3*p**2 - 3*p**2 + 2*p**2 + (-2 + 2 + p)*(2 - 2 + p) + 0*p**2 + 0*p**2 + 5*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-60)\/(-8))\/5*2. Let h = 12 + -7. Solve -h*f + i*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44741 - 42918. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57443.3 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o - 5*w + 732, -2*o - 122 = -1349067*w + 1349071*w for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231 + -268 - (-24 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/16)\/((-195)\/312).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1*(-4)\/2. Solve -b*k + 1 = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11463047 divided by 138109.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 8*y**2 - 8*y - 4. Let z be p(-7). Suppose -r + 6 = -5*a + z, -2*a - 12 = -4*r. Solve 5*g + a*g = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12828 = -k, 27*l - 26*l = 4*k - 51282. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -7. Let s(d) = -36*d + 63 - 1 - 23 - d**2 + 2. Let j be s(-37). Solve -m = -k + j, m - 3*k - 7 + 21 = n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/17)\/(7948\/33779)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5)*(-1 - g**4 + 1) - 2*g**4 + 0*g**3 + 0*g**3 + (-g + 1 - 1)*(-g**3 + g**3 + 2*g**3) - g**4 - g**4 + 3*g**4.\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 198 in -620, 2\/5, -1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (4 + -2*sqrt(208)))**2 - (2 + (0 + sqrt(1573))**2) - (-4*sqrt(130)*4 + sqrt(130))\/(sqrt(110)\/(-1*sqrt(11))).\nAnswer: -111*sqrt(13) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 307?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 987.0492 millimeters?\nAnswer: 987049.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-seven thirds of a decade?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h. Let f(m) = m**2 + 26*m + 82. Let d be f(-4). Let k(b) = -3*b. Calculate d*k(s) + 5*v(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 186*t + 364.\nAnswer: 2*(t - 91)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 28*s - 9. Let b(m) = m**2 - 14*m - 5. Let h(x) = -5*b(x) + 2*j(x). What is the units digit of h(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 0, -9\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 122*p - 2. Let l(n) = -3*n**2 + 14*n + 6. Let d(z) = 12*z**2 - 63*z - 27. Let x(j) = 4*d(j) + 18*l(j). Determine w(x(q)).\nAnswer: -732*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 12 - 1) + 233 + -228.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 525*w - 1561. Determine s(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(852\/(-844) + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**3\/3 - 3*d**2\/2 + 4*d - 3. Let k be m(-4). Suppose -4*p + 460 = -k*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*z**4 + 128*z**2 - 2.\nAnswer: 3312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*f - 4*l, 3*f + 4*l = 89 - 118 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 22 + (6 - (5 - -9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(963\/(-4))\/(27\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 2*z + 8. List the prime factors of m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-17 - 11) + -6 + (7 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 97 = -91 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 6*m**3 - 210*m**2 - 1078*m.\nAnswer: 2*m*(m - 11)*(m + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 228396 = -42*q. Suppose 4*k + f - 65221 = 4*f, 2*k = -2*f + q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 133*u + 1. Let j(r) be the first derivative of -r**3\/3 - 5*r**2 - 15*r + 17. Let g be j(-8). Is b(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -27, -68, -107, -144, -179?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -11) + -1 - (-271 + (613 - 359)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ssyysysssss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o**4 - 27310*o**2 + 302981 wrt o?\nAnswer: 16*o**3 - 54620*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1 - (-1 - 10)). Suppose -q - 4*q + 2 = -2*r, -3*r + 16 = 2*q. Let a be q\/j - (-6)\/(-30). What is the third biggest value in a, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let x(c) = -9*c**2 - 2*c. Let h be (-6 - -2) + (-85)\/(-1). Let p(q) = -360*q**2 - 81*q. Let g(o) = h*x(o) - 2*p(o). Calculate f(g(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 0*n**3 + 3*n**2 + 3*n**3 - 5*n**2 - 4*n**3.\nAnswer: -4*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3 + 6*h**2 - 5*h - 13. Let z = -13 + 22. Let r be x(z). Let q = r - 38325\/8. Find the common denominator of q and 51\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3979, -5626, -7273, -8920?\n\"Answer: -1647*o - 2332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 14*d**2 + 14*d - 12. Let m = 82 + -83. Let r(t) = -t**2 - t + 1. Determine m*z(c) - 12*r(c).\nAnswer: 2*c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -329*s - 421*s + 8868 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35\/(-30) + (-4)\/(-6). Sort -6, 16, 2, a.\nAnswer: -6, a, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 302179?\nAnswer: 8\/302179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 3*g**3 + g**3 + 0 - 1 + 6*g**2 - 3*g**3. Let p be h(-5). Suppose -4*u = -25 - p. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 a when three letters picked without replacement from {h: 1, a: 4, z: 1, o: 1, y: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 87, -4, 2.\nAnswer: -4, -3, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 + -1066.5219102.\nAnswer: -1066.6919102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28668 - 29406 = -41*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/3 + 5*n**2\/2 + 4*n - 3. Calculate the common denominator of d(-5) and -7\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 84 in ascending order.\nAnswer: -0.5, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 26\/5, 0.02, -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-50)\/8)*(-1620)\/(-18). Let g = 88 + r. Suppose 4*x - 219 = 9. What is the remainder when x is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -18*k - 153. Determine u(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1030740445*a - 810874466 wrt a.\nAnswer: -1030740445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 10*k. Let z be 10\/(3*2\/6). Let r be q(z). Suppose p + 0*p - 12 = r. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1410 divide 6624591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40850 is divided by 661?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/11 + 47400*s\/11 + 8747208\/11.\nAnswer: 2*(s + 186)*(s + 23514)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017112 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 836\/33*(-3)\/(-4). Let y be (-23)\/(-115) - 3\/((-15)\/m). Solve -5*z = 2*v - 17, -3 = -4*v - y*z + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*k = 5*o + 42, -5*o - 89 = -3*k. Let i = o + 58. Let w = i - -85. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.95 - -4. Let j = -2.95 - k. Let g = -372 + 6322\/17. What is the closest to 1\/4 in g, j, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -73.\nAnswer: 4\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2208*d**3 + 6263*d wrt d.\nAnswer: 13248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 3*h**4\/8 + 8*h**3\/3 - 9*h**2. Is k(13) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3024950.2 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -109116?\nAnswer: -1\/9093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -8*y**3\/3 - 70*y**2\/3 + 6818*y\/3 - 1700\/3 = 0?\nAnswer: -34, 1\/4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.401 + -0.089. Let h = 5.49 + a. What is the second smallest value in h, -0.3, -107?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*q**4 - 5047313*q**3 + 325262450*q**2 wrt q?\nAnswer: 216*q - 30283878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (-13 + 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 5054, 12, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/7)*u))**(-41)*(u**(1\/5))**(-2\/17) assuming u is positive.\nAnswer: u**(3471\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.98, -5, 6, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 6\/12221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 1.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 2*c + 0*c. Let b(h) = -127*h + 65*h - 7 + 2 + 61*h. What is b(p) + 3*k(p)?\nAnswer: 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:59 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 + 4 = 0. Suppose -2*y = g*y - 0*y. Solve 2*u = 5*s, -u + y*u + 13 = 4*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3672 - 18361\/5. Which is the fourth smallest value? (a) -0.05 (b) j (c) -2\/3 (d) 2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 259 + -536. Let c = t + 581. Calculate the highest common factor of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -175, -339, -487, -613, -711, -775, -799?\n\"Answer: o**3 + 2*o**2 - 177*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21283 - 21282.8. Let y = -3 + 3.3. What is the fourth smallest value in y, z, 0.4, -0.47?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/(-4)*(-12)\/15. Let g(t) = -3*t + 5. Let u(z) = 1. Suppose 109*w + 145 = -5*w - 83. What is n*u(q) + w*g(q)?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -0.03. Let r = z - -0.1. Which is smaller: 3\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34367*l**2 - 25400 wrt l.\nAnswer: -68734*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 5. Suppose -5*u = -4*x + 11, 6*x = x + 3*u + 17. Solve 4*i - r*i = 4*z - 1, -z - i + x = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*9\/16*2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53272 is divided by 886?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 + -127. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r = -18*r - 4*a - 6, -5*r = 5*a - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2203, -64, 0.1, -5, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1907 and -0.1.\nAnswer: -190.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-6)*(-4 - -2). Solve 2*o + 12 = d, 5*d - k*d = -5*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 24 = 3*b, -330*b + 343*b + 39 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.4 + 1.6. Let p = v + -30.81. Let k = p + 4.81. Which is the closest to 0.1? (a) k (b) 2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/60 - 5*k**4\/12 + 13*k**3\/3 - 2*k**2 - 82*k. Let d be n(4). Solve -2*v + 5 = 5*q, 3*q - 18 - 1 = d*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 11*c**2 - 13*c - 7. Let u be r(-12). What is the second derivative of -2*z**5 - 2*z**u - 7*z + 3*z + z wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*m**2 + 2*m**3 - 156*m**2 - 161*m**2 + 4*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6762 + -2.68. Let u = -3.0038 - k. Put u, 0.06, 13 in descending order.\nAnswer: 13, 0.06, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41225 is divided by 235?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1*(-20)\/8. Let n(y) = 3*y - 1 + y**2 - 2 + d. Let m be n(-2). Solve 2*s - 6 + 2 = m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 8.99.\nAnswer: -26.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2630*c - 7402*c - 12695*c - 3349*c + 1799*c - 26556*c + (-2 - 1 + 4)*(4*c - c - c).\nAnswer: -50831*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 304*h + 6363. Calculate q(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -19*x - 7*x - 29*x**2 + 17*x**2 + 11*x**2 - 43. What is the least common multiple of i(-23) and 22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -53.34.\nAnswer: 10.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -988020 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1035 and 45.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w + 1344 - 776 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23052173 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w**2 - 517*w + 552*w + 2 - 60*w**2 in the form g*w**2 + r*w + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.135 less than -0.0594687175?\nAnswer: 33.0755312825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16531 (base 11) in base 16?\nAnswer: -5ae2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402000 + -1000041?\nAnswer: -43041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(19) + (-1*sqrt(684) - sqrt(684)))*3)**2.\nAnswer: -20691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219492903*b**2*f**2 - 255111*b**2 - 3*b*f + 22 wrt f?\nAnswer: 438985806*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -296 - -468. Let i = r - 172.3. What is the closest to i in -6\/11, 3, 21, -5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 268.064 + -268. Let j = z + 0.036. Let d = 0.4 + 0. Which is the closest to 0? (a) 1 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 31. Let h = m - 5. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = 0. Suppose d = 2*o + 10 - 0. What are the prime factors of 11*(-1 - 1)\/(o\/20)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 - q - 16. What is k(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 3*u + 72*u**3 - 174*u**3 + 126*u**3 - 5 + 2*u**2 to f*u**2 + g*u**3 + j + m*u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:54 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Suppose w*h = 7*h. Let x = 13.2 - 13. Put x, h, 2\/11 in increasing order.\nAnswer: h, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 21 + 2 + -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - 1*sqrt(72)) + 3 - ((sqrt(22)*-1)\/sqrt(11) + -5).\nAnswer: sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -0.15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -2\/33, 26.\nAnswer: -2\/33, 26, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 13*r**2 + 15*r - 13. Let s be d(-11). Suppose -5*n + p = -s, n - 6 + 2 = -2*p. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7412946nm to kilometers.\nAnswer: 0.0000000000007412946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10977*f + 407721 = -327738 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 228*y - 592. Let u be v(4). What is the greatest common factor of u and 7200?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 3. Let z = 6 + o. Suppose 0 = -5*m - z, 5*y - 99 = 5*m - 19. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 1061*h**5\/20 - 325*h**3 - 2503*h**2. Differentiate n(l) with respect to l.\nAnswer: 6366*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119909 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.6997 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from nsnfsf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -4)\/(1 + 21). Let m = -39\/44 + z. Calculate the common denominator of -139\/36 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1468, 1510, 1578, 1672?\n\"Answer: 13*r**2 + 3*r + 1452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + ((-28)\/9)\/((-26)\/(-39))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258*b**4 + 57*b**2 + 177*b**2 - 26*b**2 - 127*b**4 wrt b?\nAnswer: -9240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 <= -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3088, -3028, -2860, -2530, -1984, -1168?\n\"Answer: 9*o**3 - 3*o - 3094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -86?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 195948030 to the nearest 100000.\nAnswer: 195900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/5 and 37\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7765346 is divided by 2260?\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1627124579.\nAnswer: 1627124579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 259 = -5*h + 6*r, r = 4*h + 205. Calculate the common denominator of (-99)\/(-21)*14\/(-20) and (-2)\/104*(-3 + h).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3771, -173, 3 in increasing order.\nAnswer: -3771, -173, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 2*k = -2, -2*k = -3*g + 2. Let j be (g - -1)\/((-1)\/(-3)). What is the second smallest value in j, 5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3 = 2*r + 53, 0 = 3*j - 39 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2 + 7*x - 11. Determine k(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 25b?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 33, 35, 37, 39?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - h - 378, -5*z + 7*h = 9*h - 641. Let y = 123 - z. Let k be 106\/(-52)*y - 4\/26. Solve 0 = k*b - 6*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12674 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*f - 634, f + 2*u + 125 - 442 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 50 = 5*f, -3*f = -4*r - 0 + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 19*s - 24*s. Let u be (4 + s)\/(4\/14). Let k(z) = -z**2 - 5. Let r be k(-4). Is r < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-20 - -31) + 26\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05208 + 53.63792. Let i = g - 54. Let h = 0.19 - i. Sort h, 0, -5 in ascending order.\nAnswer: -5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2520*k**5*p + 2*k**3*p**3 + 271*k**2 + 4*k*p**3 wrt k.\nAnswer: 151200*k**2*p + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 38 (b) 2 (c) 5 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 180.9 * 521197\nAnswer: 94284537.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/258 and 89\/28.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kwmmmmmkwkummkmuummw.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-10)*(-6 - -1). Let f(c) = 10*c + 0 - 11 - 8*c. Let a be f(8). Solve 3*i + 3 = -o - t, -a*o = -2*i - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 + 5 - 2 - s**4 + 914*s**3 - 914*s**3 - 9*s as r*s**4 + p*s**3 + j*s + l + i*s**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58.59 and 2.1.\nAnswer: -123.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 4, b: 2, t: 8}. Give prob of picking 1 b and 2 t.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/21 and (-2)\/(-6*10\/92).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 4*c**2 + 2*c - 1. Let w be 2 + 3 + -3 + 0. Suppose w*a + 0 = 6. Suppose 5*m + a*t - 11 = 1, -5*t = -3*m + 14. Give i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42519 is divided by 568?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-404)\/3636 + 74\/18. Sort -1, x, -295.\nAnswer: -295, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108061 at most -108130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from ppopo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16012600 (base 7) to base 14\nAnswer: -2bc870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**3 + 6*g - 7. Let w(u) = -13*u**3 + 11*u - 13. Let k be -1*(-43)\/4 + (-5)\/(-20). Give k*y(d) - 6*w(d).\nAnswer: d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(52\/12) + (-8)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 7:11 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**2 + 34*f + 3. Let m be g(5). Put 3, -10, -4, m in descending order.\nAnswer: 3, m, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1608*g + 14 + 818*g - 48 + 796*g in the form k + l*g and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -11*k**5\/15 + k**4\/6 - 4990*k**3\/3 + 5690*k**2. Find the first derivative of d(r) wrt r.\nAnswer: -88*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.023 times -0.03?\nAnswer: -0.33069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34444*p**5 - 10*p**3 + 2*p**2 + 25367765*p?\nAnswer: 688880*p**3 - 60*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onq when three letters picked without replacement from {g: 1, o: 1, c: 3, q: 3, n: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 434754746 times -0.1\nAnswer: -43475474.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + w + 15. Let d(l) = -11*l + 209. Let p be d(19). Give s(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33920\/960*6\/1)\/2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -567*z + 3176. What is the thousands digit of r(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8761230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23744646, 94978585, 213701820, 379914351, 593616178?\nAnswer: 854807301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**2 + 6*a. Let v(o) = -110*o. Give z(v(d)).\nAnswer: -108900*d**2 - 660*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504, 89381, -5.\nAnswer: -504, -5, 89381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*t - 4*n + 191, -2274*t + 6*n - 38 = -2271*t + n for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -10*p**5\/3 - 8*p**4\/3 + 10*p**3 + 4*p**2\/3 - 16*p\/3 = 0.\nAnswer: -2, -4\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 12733.\nAnswer: -12728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51, 184, 399, 690, 1051, 1476?\n\"Answer: -i**3 + 47*i**2 - i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -274487, -274488, -274489, -274490?\n\"Answer: -u - 274486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-1 - sqrt(77) - sqrt(77))\/(sqrt(11) - -5*sqrt(11)*2).\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*n = -42, 3*j - 56 = -j + 4*n. Let f = 30 - j. Solve 5*v - v - f = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6149 and 62608.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 9:35 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 4 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 12:27 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - 50. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 10\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 661 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s + 18. Let c(y) = y. Let t(m) = 5*c(m) - h(m). Let j(a) = -14*a - 19. Let w(b) = 4*j(b) - 5*t(b). Is 17 a factor of w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0791, 1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1269751, 2539516, 3809295, 5079094, 6348919, 7618776, 8888671, 10158610?\n\"Answer: g**3 + g**2 + 1269755*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1a?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8893 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 178639831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3\/2 + 89*v**2 + 975*v\/2 + 261 = 0 for v.\nAnswer: -29, -6, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 14*a - 5. Suppose -v = 5*s - 0*s - 1, s + 5*v = a. Solve s = 5*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1139 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323 by 17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -178 + 178 + v. Let m(k) be the second derivative of k**4\/3 - k. Determine u(m(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (34\/(-15) + (-15)\/45).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42 + -4)*(1 + 1). Suppose 3*m = -k + 268, 0 = -m - 0*k + 3*k + n. Is 25 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -228, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -13\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42591668\/495 - -949210\/11. Let s = m + -248. Is -1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2013, 2533, 3019, 3465, 3865, 4213?\nAnswer: 4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/24 and -73\/29004.\nAnswer: 58008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*k + 11 - 2 = 0, 2*s - k = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*a - 2667. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from jjjsykjzyyyjjsjuy.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033498.\nAnswer: 2, 1016749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 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 are the prime factors of 496432?\nAnswer: 2, 19, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -50166398 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24308163137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 17. Suppose 5*o - 2132 = -r, r = -0 - w. Suppose -4*p - 5*k + o = 0, p - 4*k + 3 = 115. Calculate the greatest common divisor of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34617*q + 34654*q = 1082 + 213 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtzbttbtbolbltobtlx. What is prob of sequence zx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 - 73*v)*(v**2 + 3*v**2 - v**2 + (2 - 3 + 0)*(0*v**2 - 6*v**2 - v**2)).\nAnswer: -730*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 + 190*x - 1075 = 0.\nAnswer: -43, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/26 - (176302\/(-26) + 4). Suppose -s = 55*n - 64*n. What are the prime factors of n?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2816, -6, -1, 52 in descending order.\nAnswer: 52, -1, -6, -2816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 1.9, 0.4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-154)*(-3724)\/(-70)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18517236.\nAnswer: 2, 3, 1543103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 3*v. Let n be z(2). Let f(l) = n - 2 - l**2. Let g(y) = -11 + 5 - y + 6. Calculate f(g(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-8\/9))\/f**(-9) assuming f is positive.\nAnswer: f**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(27\/2)*((i\/(i\/(i**(13\/5)\/i)*i)*i*i)\/i)\/i)\/((i**46\/i*i)\/i)**(-19\/2) assuming i is positive.\nAnswer: i**(2208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 48412.\nAnswer: 51\/48412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**5\/d)\/d)*d)\/d**(-6)*(d**(1\/2))**(10\/3) assuming d is positive.\nAnswer: d**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 24 = 16*f. Let j(r) = -50*r**3 - 8*r**2 + 61. Let p(q) = -17*q**3 - 3*q**2 + 20. Let k(u) = f*j(u) - 8*p(u). What is the derivative of k(m) wrt m?\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -272, -543, -814, -1085, -1356, -1627?\n\"Answer: -271*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/5*-3)\/1 - 3. Solve -m - h + 25 = 4*m, -4*m - v*h = -31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x**5)**(-37\/3) assuming x is positive.\nAnswer: x**(-259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {m: 3, b: 2, q: 2, d: 6, l: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 - 3670*o + 81969648\/7.\nAnswer: 2*(o - 6936)*(o - 5909)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87747495 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2450120 to the power of 1\/2, to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23956 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/224*(3 + 48\/(-9))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15 - ((-340101)\/265)\/(-31).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*10\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 11 = -2*v - 5*t, v - 3*t + 4 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 = 703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1598026123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741172.\nAnswer: 2, 127, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5*v - 7 = 0, 2*h - 4*h + v + 19 = 42 - 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 11507296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3, -1, 85 in decreasing order.\nAnswer: 85, 3, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/30 - p**4\/24 + 5*p**3\/6 - p**2. Let a(x) = x**2 + 6*x - 52. Let n be a(-11). Let t be r(n). Solve -3*g - t = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 740*v**2 - 4488*v - 8970. Give y(-746).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80 - (-39 + -64)) + 22?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p. Let s(b) = -30*b**2 - 21*b - 21. Let u(d) = -3*d**2 - 2*d - 2. Let y(k) = -4*s(k) + 42*u(k). Determine g(y(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.415 - -4.623. Let r = j - 38. Let t = -8.038 + r. Sort 0.4, -2\/5, t in decreasing order.\nAnswer: 0.4, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:28 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + -7.95. Let u = -13 - -21. Let g = u + z. What is the nearest to g in 2, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 7*x + 3. Let z be r(7). Suppose 2*j - 2*u = -z*u + 59, -2*j + 4*u = -44. Calculate the remainder when 55 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 1006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48786, -48779, -48772, -48765?\n\"Answer: 7*j - 48793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257526281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hec. What is prob of sequence hec?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -p, 4*p - 29 = -0*p - s. Let x(j) = -6*j + p*j + j. Let m(f) = -4*f**2. What is x(m(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333 - -538. Suppose 4*o + 1865 = z. Find the common denominator of -139\/6 and 2\/4 - o\/40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*x + 18 = 0, 6*t - 51 = t + x. Let j = 16 - t. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.8 - -20. Let z = -3 - -5. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**2 + y**2)*(246*y**2 - 246*y**2 + 296*y**3).\nAnswer: -592*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.1 - 23.102. Let h = 109 + -109.102. Let v = c - h. What is the nearest to v in 2, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(4\/(-2) - -1). Let i = -0.4674 - -0.3674. Does i = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42214 - -1?\nAnswer: 42220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*72418*(-10 + 372\/24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 4. Let y be q(-3). What are the prime factors of 12\/2 - (y + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2242 take away 14?\nAnswer: -2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/6*((-5)\/(-52) + 444\/2886). Factor b*r - 1\/3*r**3 + 0 - 2\/3*r**2.\nAnswer: -r*(r - 2)*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 3. Let r be y(-4). Let s = 12582 - 88622\/7. Let u = -78 - s. Which is bigger: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 - (19 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2159 by 3.\nAnswer: 2159\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-182)\/(-42) - 4)*0. Let s(w) be the second derivative of -5\/6*w**3 - 11\/2*w**2 - 14*w + a. What is the first derivative of s(d) wrt d?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (486\/54)\/((-1)\/((-3)\/(-39)))?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*m - 922664 = 58*m - 88*m. Is m a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 944 = x, 2*x - 3*l + 1888 = -0*l. Let u(i) = -4*i**2 - 50*i - 23. Let a be u(-20). Let f = a - x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -584 + 582. Which is smaller: d or -19\/10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 11:10 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -5, 4\/27, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-28))\/(((-3)\/1)\/(-48))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddddddhhhhdhdhd. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.389 + 2.089. Let p = -46 - -46.11. Which is the third smallest value? (a) g (b) -1 (c) p (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxlzzxxzfxllzzzzzl. Give prob of sequence xlxz.\nAnswer: 4\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 30. Find the second derivative of 240 - 22*i + 19*i**k - 240 wrt i.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.0111 - 1.0111. Which is the third biggest value? (a) q (b) 0.3 (c) 2\/3 (d) -0.3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0*i - 3*i)*(2 + 1 - 4) + 1 - 1 - 2*i + (3*i + i - 2*i)*(0 + 0 + 1) - i + i - 3*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19140301.\nAnswer: 23, 191, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 247125132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1301003?\nAnswer: 1301003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 16, 0 = s - 2*s - 3*m. What is the remainder when s is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -786, -784, -782, -780, -778, -776?\n\"Answer: 2*n - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350 + -345 - (15 + 0)) + -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 + -201. Let a = -7 - 1. What is the units digit of (-4)\/a + 202\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 170403\/2 (b) -6 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177 + -178. What is the nearest to 1 in a, -6, -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26030264 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*y**4 + 403255*y**3 - 432272818*y**2?\nAnswer: 216*y + 2419530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/(-6) + 1)\/(39\/10179)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6631, -13476, -20393, -27418, -34587, -41936, -49501?\nAnswer: -57318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 4.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4263889935 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6 + (-35)\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**3 + 4*u**2 - 5*u - 14. Let d(i) = -11*i**3 + 7*i**2 - 9*i - 27. Give 4*d(x) - 7*v(x).\nAnswer: -2*x**3 - x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**7\/10 - a**6\/60 - a**4\/12 + 5*a**3\/2 - 121*a**2. Find the second derivative of s(y) wrt y.\nAnswer: -252*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*l**2 - 2\/9*l + 0.\nAnswer: -2*l*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = -4*r. What is the smallest common multiple of (-22)\/((-2)\/11*88\/(-32)*-1) and 2 - r\/((-3)\/(-14))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - o - 1. Let t be z(-1). Let k = 6 - t. Suppose 3*r - 11 = k*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118100 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnnq when four letters picked without replacement from {n: 9, x: 1, q: 3, v: 1}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 911, 6678, 22083, 51884, 100839, 173706, 275243?\n\"Answer: 793*h**3 + 61*h**2 + 33*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 6. Let j = -18 - -15. Let s be 2\/j*12\/16. Which is the nearest to 1? (a) s (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 6*w**2 + 28*w + 2. Let o(u) = -2*u**3 + 4*u**2 + 29*u. Let v(j) = -2*o(j) + 3*p(j). Calculate v(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from bkbbbkfkbkbkk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + -1*(sqrt(432) + -2 + -3 + sqrt(432))*5*-4)**2 + 4.\nAnswer: -98880*sqrt(3) + 701813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxddnnddxax. Give prob of picking 3 x and 1 d.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(5929) + sqrt(5929) - 2*sqrt(196))\/(sqrt(49)\/(sqrt(7) - (sqrt(7) - (sqrt(28) + sqrt(7)))*2 - sqrt(7))))**2.\nAnswer: 1507072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -9*j + j**2 + 51\/2*j**4 - 1\/3*j**3 + 294. Find the second derivative of w(d) wrt d.\nAnswer: 612*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:57 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 1\/6*q**3 + 0 - 1\/120*q**6 + 0*q + 1\/60*q**5 - 1\/24*q**4 + q**2. Let x be o(0). Is x > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -1.04. Are w and -24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/2 + (-1)\/(-2). Suppose 0 = g*c + c. Suppose 2*w = -c*w. Solve -2*s - 2*f = -w*f + 10, 5*f = -4*s - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6291*u + 15. Let d(r) = -81796*r + 198. Determine 66*b(k) - 5*d(k).\nAnswer: -6226*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -35*s**3 + s**2 + 7*s + 2. List the prime factors of k(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4425023\/456 + -9704. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - v = 3*m + 26, -3*v - 6 = 0. What is the derivative of -5*i**3 - 1 - 3 - m*i**3 wrt i?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 590345357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 303164665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12917 - -18904. What are the prime factors of y?\nAnswer: 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38556 = 12*m - 9828. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 + 218. Find the common denominator of 110\/p*(-66)\/(-8) and -81\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 7. Let j be v(4). Suppose -j*a = -a. Suppose 4*d + 54 - 214 = a. 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: What is -15 times -2706.2?\nAnswer: 40593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10100110101001 (base 2) to base 4\nAnswer: 2212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3357 - -3390. Solve 23*o - z = 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**2 + 26*p - 26*p)*(-1 + 0*p**2 - p**2 + 2*p**2 + (p**2 + 1 - 1)*(-2 + 5 - 2)).\nAnswer: -16*p**4 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*u = 28, 5*u + 52 = -11*c + 14*c. Let l be (2\/24)\/((140\/21)\/(-10)). Put 3\/2, l, c in decreasing order.\nAnswer: c, 3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*s + 4*s. Let g = 6 - s. Solve 4*k + 0*k = -4*n + 24, g = -k + 4*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 8480 = -9*x. Let k = x + -376. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -26. Let m = n + 6. Suppose 6*h + m + 13 = 0. Put h, 2, -1 in ascending order.\nAnswer: h, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 77720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 31. Suppose 0 = 7*v - 2*v - 4*l - 155, 0 = 2*l. What is the remainder when v is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:21 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 515813167 to the power of 1\/2, to the nearest integer?\nAnswer: 22712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let b(q) = q**2 + 69*q + 965. Let v be b(-19). Suppose -f - 3*h = -1, d*h + 2*h + v = 0. Which is bigger: 9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -230\/13 (c) -1\/11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430, -1240, -2550, -4360?\nAnswer: -6670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let h(a) = 4591204*a**2. Give n(h(t)).\nAnswer: 21079154169616*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + m = -0*c - 30, -2*c + 3*m = 22. Let u = 3 - c. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 4, r: 4, w: 4}. Give prob of picking 1 r and 1 g.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -214066430?\nAnswer: 214066425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604401 (base 8) to base 2.\nAnswer: 110000100100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4280 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3846662.\nAnswer: 2, 73, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 1. Let o be u(1). Let b = o - 2. Calculate the common denominator of ((-40)\/7)\/(b + -3) and 15\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2040334692 divided by -1.\nAnswer: -2040334692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3940999 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -7, -4, 1?\n\"Answer: b**2 - 2*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(40)\/(sqrt(72)\/(1*sqrt(9))) + -2.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5070566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*z - 25918 = -z, -2*w + 2*z + 25912 = 0. Let l be (-2)\/3 + w\/(-9). What is l rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 12*s**2 - 21*s + 15. Let j be t(10). Solve -9 = -j*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*c**3*g**2 - 445*c**3*g + 32638*c**3*m - 2*g**2*m + 15*g**2 + 3*g*m**2 wrt m.\nAnswer: 32638*c**3 - 2*g**2 + 6*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33305563903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 16 = 0, 16830141 + 11569879 = 2*g - 5*v. What is g rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x\/x**(-2\/11)*x*x**(-1\/4)*(x\/(x\/(x\/((x*x**(2\/3)\/x*x*x)\/x)*x*x)))**(-2\/21) assuming x is positive.\nAnswer: x**(10547\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/5)\/u)\/u*(u*u*u\/(u*(u**(-2\/5)*u)\/u*u))\/u*u*u*u**(1\/2)\/u*u*u*u*u*u**5)\/((u*u*u**3*u*u*u)\/(u**(-5)*u)*u*u**(-5)*u**(2\/7)) assuming u is positive.\nAnswer: u**(1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 841*q + 7626. Calculate s(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76720 and 2882768.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3845.887318 rounded to the nearest integer?\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3279970*k**3*m**2 + 2*k**3 + 9*k**2*m + 2*k**2 - 2416*m**2 wrt k?\nAnswer: 19679820*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8172 plus 6241631?\nAnswer: 6249803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 11:26 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 9*f**2 - 13*f. Calculate j(11).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {q: 3, l: 1, x: 1, r: 6, j: 1, e: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)\/m*m**(-7))\/(m**(1\/7)*(m\/m**(-1\/4))\/m*m)*((m*m**3)\/m**(3\/4))**(3\/8) assuming m is positive.\nAnswer: m**(-16031\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/55954 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p. Let h(z) = -3*z**2 + 542*z - 226*z - z**2. Calculate h(d(n)).\nAnswer: -16*n**2 + 632*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21201101 (base 3) in base 4?\nAnswer: 1113322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9165615286 to the nearest one million.\nAnswer: 9166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**4 - 3*c**4 - c**4 + (-c**2 - 3*c**2 + 2*c**2)*(-12 + 3*c**2 - 4*c**2 - 2) to the form z*c + r*c**4 + d*c**3 + n*c**2 + u and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5534, -5373, -5110, -4751, -4302, -3769?\n\"Answer: -u**3 + 57*u**2 - 3*u - 5587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssbyoooosymdo. What is prob of picking 1 s, 1 y, 1 d, and 1 b?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4*b**2 - b)*(-4 - b + 4*b**3 + 2 - 2*b**3).\nAnswer: 8*b**5 - 4*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7734503 or -7734501?\nAnswer: -7734501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56 - 3c?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-3 - 21\/(-6)). Suppose -u + c = 4*a, 2*a + 23 = 3*u - 9. What is the remainder when 45 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 1 + 29*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.9 + 93.1. Let v = -129.5 + d. Put -2, v, 0, 26 in descending order.\nAnswer: 26, 0, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 68 + 0*h**2 + 24 - 18 - 21.\nAnswer: h**2 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1026037 and 0.180036?\nAnswer: 1026036.819964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1394 and -57\/2.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 1, e: 3, i: 3, a: 1}. Give prob of sequence hth.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 + 255. Solve -s + x = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 2*h**2 + 2*h**2)*(5 + 4 - 5)*(-2 + 0 + 1 + 4 + 1 + 1 + 0 + 1 - 2 + (0 + 0 + 1)*(-3 + 4 + 0) - 1 + 5 - 3 + 1 + 3 - 5).\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 949\/1460 + 1\/10\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 63*d**3 + 81*d**2 + 339*d + 198.\nAnswer: -3*(d - 3)*(d + 1)**2*(d + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*28195602.\nAnswer: 84586806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2006*a**2 + 617*a**2 + 657*a**2 + 598*a**2.\nAnswer: -134*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3))\/(-1*3\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89205? (a) -2\/9 (b) -4\/5 (c) 0.245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -37 (c) -3 (d) -2\/17 (e) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 706680 less than or equal to 2120039\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2294.1 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 48368568?\nAnswer: 48368568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/5)\/(((-27)\/(-12))\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 + 1146515*y + 1146520 = 0. Calculate y.\nAnswer: -1, 229304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 2, e: 1, l: 2, b: 1}. What is prob of picking 1 t and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -358*c**3 - 6*c**2 + 4*c + 28. Let i(b) = -b**3 - 2*b**2. Let j(r) = -g(r) + 3*i(r). Find the second derivative of j(p) wrt p.\nAnswer: 2130*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1244*s - 197. Let g be x(9). Suppose 0 = 2*r - n - g, 4*r - 22007 = -n - 0*n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288 plus -9?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -34. Is (o + 3 + 0)*47 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - 5.2. Let u = -5 - p. Let j be ((-24)\/30)\/(-4)*10\/(-18). Sort u, j, 1\/4.\nAnswer: j, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2123 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10561*o**4 + 19*o**2 + 14*o - 14039134 wrt o.\nAnswer: 42244*o**3 + 38*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2, 0 = -14*q + 18*q + 4*m - 53232. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87109414*c*r + 77983746*c wrt r.\nAnswer: -87109414*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 4068*a + 4000*a - 3 + (-1 + 1 - a)*(-3 + 2 + 0).\nAnswer: -67*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Suppose 2*k - 2*s - 24 = u, 3*k + s - 6 = 34. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*2\/((-2)\/(-1)). Let y = -72 + 103. Let j = c + y. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - g + 2. Let r be k(5). Suppose 0 = 4*u + 3*a - 42, -u = -3*a + 4 - r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e48cd - 7c?\nAnswer: e4851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -24*b**2 + 15*b - 9. Let h(v) = -21*v**2 + 15*v - 8. Let o(i) = 8*d(i) - 9*h(i). Factor o(r).\nAnswer: -3*r*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5114 + -4?\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4178198 rounded to the nearest 10000?\nAnswer: 4180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 419927548?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*s + 2*q = 87*s - 19, s - 2*q = 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26080 = -35*w + 25*w. List the prime factors of w.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1384015506\/9275 - -149220. Let t = g - -584517\/296800. What is the common denominator of t and 1\/4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.9 - -3.9. Sort 3, z, 1\/51 in ascending order.\nAnswer: z, 1\/51, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32241 (base 5) in base 16?\nAnswer: -894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 + -139.7. Let j = a + -32.3. Let z = -40.0000632 - j. What is z rounded to six decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - n - 15 = 0, -33*n + 17 = -5*x - 36*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -275 + 274.9. Let r = -125 + 370\/3. What is the third biggest value in -3, 1\/3, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n = 28*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12964 divided by 7\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3 + 3*w + 9 - 12. Let f(t) = -70*t + 70*t + t**2. Determine h(f(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 292075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 350347 to the power of 1\/2, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 7*u + 6. Let v(a) = 3*a - 3. Let j be v(-10). Let g be 2\/(-4) + j\/6. Calculate the remainder when w(g) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -557\nAnswer: -26\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -994, -2278, -4092, -6442, -9334, -12774, -16768?\nAnswer: -21322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093900778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -44819 times -13.55?\nAnswer: 607297.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + h + 300, b - 103 = 3*h - 3. Let w = b - -18. List the prime factors of w.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2 - 1852*m + 428738 = 0.\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231669669?\nAnswer: 17, 72451157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72802*b**4*j**2 + 647*b**3*j**2 + 2*b**2*j + b*j**2 + b - 8358*j**2 + 189 wrt b?\nAnswer: -1747248*b*j**2 + 3882*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 4*s**2 + s + 11. Determine t(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 429 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -917, -993, -1069, -1145, -1221?\n\"Answer: -76*y - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**3\/3 - 7*d**2\/2 + 5*d + 22. Let u be c(3). Solve -14 = -u*b - 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 + 96*c + 985. Is i(-13) a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523370251 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 299*v**3\/3 - 9*v**2\/2 - 339. What is the second derivative of z(l) wrt l?\nAnswer: 598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 2886858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wfwwdtttfwttdrftt?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 12 - 15)*-20*(-3)\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 6. Let f = -120 - -115. Give o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 145*u**3 + 0*u**2 - 28*u**3 + 3*u - 1 + 28*u**3 - u**2. Let n be d(2). Suppose 0 = -3*y - x + 1170, y = -2*y + 2*x + n. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 9. Suppose 3*q - 7*q + 40 = 0. Suppose -4*x + 4*a = -12, x + 4*a - q = 8. What is the units digit of s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5322 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 0.4 (c) -0.1145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1780*c + 73. Let t(g) = 892*g + 37. Let p(f) = -4*i(f) + 9*t(f). Find the first derivative of p(v) wrt v.\nAnswer: 908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 16*g + 9. Let d be u(6). Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c + 4. Let t be c\/26 - 1512\/(-26). Let v = -24 + t. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 568.5781 tonnes?\nAnswer: 568578100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-216)\/(-252)*((-420)\/100)\/(12\/(-15))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 124 = 290. Calculate the remainder when y is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/10 - (-3066)\/105. What is the lowest common multiple of (-21 + 0)*(-48)\/d and 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -4 + -5)*6.\nAnswer: -54 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14155926 to the nearest integer?\nAnswer: 3762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 + 41*y**3 + 1951*y**2 + 12919*y - 14910 = 0.\nAnswer: -21, -10, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 2*p. Suppose -5*w + 9 = -p. Factor -t**3 - t - 4*t - 2*t + 5 - w + 5*t**2.\nAnswer: -(t - 3)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**7\/2520 + w**6\/90 - 3*w**5\/40 + w**4\/3 - w. Let q(y) be the third derivative of j(y). Give q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(2\/(-1) - -3). Let s(c) = -4*c + 2. Let n be s(-1). What is the highest common factor of v and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4779768959.\nAnswer: 7, 1223, 558319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 + 17*j + 197. Let d be s(-5). Solve -5*g + h + d = 0, 18*h - 9 = -5*g + 20*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23999826 - -0.24. Round k to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 82*v**3 - 2*v**2 + 328*v. Let z(a) = 164*a**3 - 4*a**2 + 657*a. Let k(p) = 5*d(p) - 2*z(p). What is the second derivative of k(i) wrt i?\nAnswer: 492*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26890.705 + -26964. Let w = g - -203.169. Let h = 130 - w. Round h to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-24) - (-70)\/6. Let q(x) be the first derivative of x**2 - 2*x + 7. Let o be q(b). What is the highest common divisor of o and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.03 - 0.23. Let k = -181 + 180. What is the closest to k in 3\/5, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17055287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 (base 10) in base 16?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((4\/12)\/((-2)\/(-6))). Let l(u) be the first derivative of t + 1\/2*u**2 + 4*u. Calculate l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 7 = -4*j, 0*k + 14 = 2*j + 2*k. Let o(c) = -j*c**2 + c**2 + 6*c**2 - 5*c**2. Let i(u) be the third derivative of u**5\/60 + u**2. What is i(o(h))?\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/8 and 49\/284722.\nAnswer: 1138888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 102, 363, 802, 1449, 2334, 3487, 4938?\nAnswer: 6717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22873901 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d - 8*d**4 - 3*d - 1 - 19*d**2 - 3*d**2 - 8*d + 2*d**3 + 7*d**4 in the form r*d**3 + j*d**4 + w + c*d**2 + y*d and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eumeemeeeemmuu. Give prob of picking 1 e and 1 m.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**3 + 5*t**2 - 3*t - 128. Let s(p) = -33*p**2 + 7*p - 6. Let r be s(1). Let k be j(r). What is k rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/8)\/x*x**(-2\/15)*x*(x*(x**(2\/3)\/x)\/x)**(-1\/12)*(x**(2\/11)\/((x**(11\/3)*x*x*x)\/x))**7 assuming x is positive.\nAnswer: x**(-150973\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 75*h + 111. Let d be s(36). Factor -25\/2*b**d + 15 - 35\/2*b - 45*b**2.\nAnswer: -5*(b + 1)*(b + 3)*(5*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-74 + 9)\/(-5)*-3. Suppose 0*x - 5*w = 4*x + 4188, 2*x + 5*w + 2104 = 0. Let n = q - x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38783 + -3529210\/91. Find the common denominator of y and 61\/234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-8))\/(3\/(-34)). Let i = -59\/6 - c. Let x = -156\/11 - -1382\/99. What is the nearest to -0.1 in x, -1\/2, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6081599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7291.\nAnswer: 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 13*z - 23. Calculate o(17).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1228137, -1228151, -1228173, -1228203?\n\"Answer: -4*m**2 - 2*m - 1228131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**4\/24 + 3*x**3\/2 - 88*x**2. Let u(z) = 1075 - 537 - 537. Calculate -c(k) + 6*u(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2418 and 2?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2*o**6\/3 - 4*o**5 - 8*o**4 - 16*o**3\/3 + 61. Solve z(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - 12\/2*20\/(-30). Let i(y) = y**2 - 4*y + 78. What is the tens digit of i(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169 is divided by 263?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -51)*74\/(-3). Let m = h - -4046\/3. Calculate the common denominator of -28\/3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.731 + -1.731. Sort -12, 2\/7, r in increasing order.\nAnswer: -12, r, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485, 1820, 4007, 7046, 10937, 15680, 21275?\nAnswer: 27722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2 - 108*b - 12. Give g(-10).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*z**2 - 115*z**2 - 11*z**2 + z - 6*z**2 + 2907 to the form u*z + l*z**2 + s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 2*r + r + 113*r + 135*r - 272*r + (1 - 1 - r)*(2 - 1 - 3).\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067*g - 1066*g = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -0.0077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 7892, 1\/7, 1\/10, 3\/4 in decreasing order.\nAnswer: 7892, 3, 3\/4, 1\/7, 1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -130*q**2. Let t(p) = 1743*p**2 + 98*p. Let i(k) = 107*k**2 + 6*k. Let l(y) = 98*i(y) - 6*t(y). Calculate l(g(u)).\nAnswer: 473200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a*a**(-2))\/(a**2)**(-2\/101)*(a*a\/(a*(a**9*a)\/a*a)*a)\/(a*a\/(a*a*a*a**(2\/29)))*((((a\/a**(1\/8))\/a)\/a)\/a*a)\/((a*a**8*a)\/a) assuming a is positive.\nAnswer: a**(-445593\/23432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 = 5*j, -3*a - 12 = j + a. Let c = j - -4. Suppose 4*u + 40 = c*x + u, 3*x + u - 30 = 0. Solve -3*z = -5*z - x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q + 61*q + 3*w = -32, -18*q + 4*w = -88 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/108 - 211\/540. Let l be 7\/2*(-40)\/(-70). Is l smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744467844 to the power of 1\/2, to the nearest integer?\nAnswer: 27285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-164)\/(-3) + (-2)\/(-6). Is -1 + 1 + f + -1 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 1, b: 2}. What is prob of sequence wb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 7, -2 in increasing order.\nAnswer: -5, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/5)\/(48\/(-240)). Let q(x) be the first derivative of x + 1\/9*x**3 + 5\/6*x**2 - w - 1\/12*x**4. Let q(t) = 0. What is t?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -562427*i*r**4 - 3*i*r**2 + 239041*i wrt r.\nAnswer: -2249708*i*r**3 - 6*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2*t**5 + 5*k**2*t + 1257*k*t**6 - 2*k*t**2 + 17*k*t wrt t?\nAnswer: 60*k**2*t**2 + 150840*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g - 137 + 1250 = 0. Solve 3*c = -g + 44 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -27*n - 46. Let q(u) = -u**2 + 4*u - 8. Let w be q(5). What is the hundreds digit of v(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = 0. Suppose -5*c + c - 4*b = -168, 2*c + 3*b - 85 = t. What is the remainder when c is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaao when four letters picked without replacement from aooaoooaoao?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-2 - 1) + -2 + (-9 - -8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*a = -2*q + 12, -5*q + a = -6. Let w be 3 - (1 + -1 + q). Let o be 7\/(84\/8) - 4\/15. Is o > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3141968 and 1094.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 391534.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6542)\/(-6) - (-13)\/(-39). Round p to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - -36 - ((-4 - 7) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = 35*z + 286 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -17.9?\nAnswer: -5.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111 - -123) + 4 + (5 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30113431, -60226863, -90340295, -120453727, -150567159?\n\"Answer: -30113432*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -53319 and 62722.\nAnswer: 9403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = -2*x - 5, 5*x = -3*y + 14. Suppose 0 = y*p + 4*t - 25, 47 = 4*p - t - 18. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7))**(-28))**(-14)*(w*w**0\/w)**(9\/7)*w**2*w*w**(-1) assuming w is positive.\nAnswer: w**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 25 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 2:13 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-10)*(-3425)\/(-2740).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 5*j**2 + 20*j. Let g(k) = k**3 + 2*k**2 - 10*k. Give 5*g(q) + 2*t(q).\nAnswer: q**3 - 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -375 + 258. Which is the nearest to 1\/3? (a) f (b) 0 (c) -1\/6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 51*u**2 + 5 - 2*u**3 + 0*u**3 + 9*u - 4*u - 56*u**2. Let b(o) = -8*o**3 - 4*o + 0 + 11*o**3 - 4 + 4*o**2. Determine 5*b(n) + 4*p(n).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 798997741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - (-39 - -27)) + -9 + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 181\/9 + -10 + 8\/(-72). Calculate the greatest common divisor of 40990 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 58*q - 60. Let c be n(1). What is the common denominator of 56\/15 and (-7*5\/(-315))\/(c\/130)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4585?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (1 - 2 - 0) - (-57 + 68) - 36?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from zdzqdddzzq.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 4*c - 3*c - c**3 + 0*c**3 in the form p*c**2 + d*c**3 + m + q*c and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 34*f**2 + 2*f. Let s(p) = -2*p**2 - 10*p + 5. Let m(t) be the first derivative of t**2 - t + 120. Let h(n) = -5*m(n) - s(n). What is h(z(q))?\nAnswer: 2312*q**4 + 272*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -53*f + 28. Let h be k(8). Calculate the remainder when 48 is divided by (0 - 5\/35) + h\/(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1218510 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9*a - m - 99 = 0, -2*m = -a - 36. Let i = 15 + -41. Let s = a - i. Solve s = -n - 2 + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 7*l + 5. Let r be u(-7). Sort 0, r, 1 in decreasing order.\nAnswer: r, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/7))**(-3\/4)\/((y*y**2)\/y**(2\/3)) assuming y is positive.\nAnswer: y**(-277\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59005 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2835440 or 148?\nAnswer: -2835440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 30*q**3 + 13*q**2 - 27*q + 7. What are the prime factors of f(6)?\nAnswer: 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 55 = -w - 19*k, -4*w - 3*k = -46 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-21 - -8 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/92078 and 91\/723470?\nAnswer: 5064290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.958 - -0.042. What is the second smallest value in 0.5, -1\/2, j, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.48 - 0.52. Let t = 36 + g. Is t > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-29 - (-10 - (-7 + -3)) - (0 + -2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63434136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25682337 is divided by 1305.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - (-17)\/(-255). Let z = -1331\/5340 + -1\/1335. What is the closest to -1 in j, z, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 619928640*g - 32025959891020800 = 0.\nAnswer: -103321440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-18) - 2\/(-6). Suppose -41 = o*w - 105. Calculate the smallest common multiple of w and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7654*y + 229641. Determine r(-30).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8503 in -6.28, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a factor of 16797900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 91, 214, 387, 610, 883, 1206?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1. Let t(l) = -l**3 + 1. Let m = -129 - -153. Suppose -29 = 5*k - m. Determine k*t(u) + 4*x(u).\nAnswer: u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/5 + 10407441*v**3\/5 - 12*v**2\/5 - 124889276*v\/5 + 166519056\/5 = 0. Calculate v.\nAnswer: -10407441, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 143357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -63*y + 1. Let w(x) = -3*x**2 - 67*x. Calculate r(w(m)).\nAnswer: 189*m**2 + 4221*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*x = 0, 3*m + 31 - 9 = -5*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1284, 1434, 1822, 2568, 3792, 5614?\n\"Answer: 20*n**3 - n**2 + 13*n + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243120 + 3201?\nAnswer: -234414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 9*w + 27. What is the biggest value in 5, w, -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 698223648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57568331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 46423 = -90*z + 88*z, l + 4*z - 46413 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.253185159 rounded to 4 dps?\nAnswer: -0.2532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/20*-2 - 21\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386 - 142 = -48*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 6:37 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 1, l: 1, u: 7}. Give prob of picking 2 u and 1 l.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.943 + 0.057. What is the closest to k in -5, -16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93208256.1 to the nearest 10000.\nAnswer: -93210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107983 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: Suppose -8*r = 9*r - 6*r. Let o = -0.113 + -1.887. Which is the third biggest value? (a) r (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1617.7 + 882.8. Let t = 814 + a. Let m = -78 + t. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 861 and 70674?\nAnswer: 20283438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hffffffffffhfffh. What is prob of picking 2 h and 2 f?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/((-3)\/15*-1). Let c = h - 37. Does 23 divide 3\/2*960\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35143 or 35144?\nAnswer: 35143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/2*b**5 + 15\/2*b**3 + 0 - 5\/2*b**4 - 5*b + 5\/2*b**2 = 0. Calculate b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6355502 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -63. Suppose -a = 2*a - r. Solve a = -4*z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukckckk. What is prob of sequence uck?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vve when three letters picked without replacement from {t: 1, e: 1, l: 3, v: 3, c: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 20 = 6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 2880.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1)\/q))\/q**(-1\/3)*(q**(2\/5))**(-15)*(q**1)**39\/((q\/q**(-6))\/q**(4\/9)) assuming q is positive.\nAnswer: q**(268\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 73. Let k be (-3 - 77)\/(-5) + n. Calculate the greatest common divisor of k and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-1)\/2)*2. Suppose 5*g - 2*g = 3*h - 9, -2*h - 2*g + 14 = 0. Sort t, 4, h in descending order.\nAnswer: h, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 5. Let g be (-12 - w)*(-3)\/6. Suppose 57 + 53 = g*p. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (12 - 21) + 23\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2029\/138 - -618\/23. What is the common denominator of 11\/2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1410141 + -3103?\nAnswer: 1402033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 6*h**2 - 5*h. Let v(u) = 2*u - 10. Let j be v(7). Let k be o(j). Calculate the greatest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-2))\/5*-2)\/(-1)*27189\/(-477)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 - 0.13?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/11 - 2060502*h**3\/11 + 6181524*h**2\/11 - 8*h\/11 - 8242032\/11 = 0?\nAnswer: -1030254, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 q when four letters picked without replacement from pvnnndpnpnnnqvnpnn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -2 - (168 - -6). Let q = x + 247. Let l = q - -24. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 2*g - 5*g)*(-g**3 + 0*g**3 + 3*g**3) + 4*g**3 + 599*g**4 - 3150*g**4 - 4*g**3 - 420*g**4 to p*g**2 + f*g**3 + c + x*g**4 + r*g and give x.\nAnswer: -2987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3*y\/y**(-2\/13))\/(y**(-1\/4))**(-4\/15))\/((y**0*y)\/(((y*y**(-1\/7))\/y)\/y)*((y\/(y\/y**(-2\/11)*y))\/y)\/(y**(-2\/5)\/y)) assuming y is positive.\nAnswer: y**(40933\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1244 - -1?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -1\/10 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/3, 0, 0.5, 3, 5?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*z + 79*z = t + 365, 15 = -3*t. Suppose z = 12*o + 6*o. Determine l, given that -12 + o*l - 2\/3*l**4 - 2*l**3 + 14\/3*l**2 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(12) - (sqrt(432)*1 + 4)**2.\nAnswer: -448 - 104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18286.74 rounded to the nearest ten?\nAnswer: -18290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6881.44 rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 19*t + 25 = v + 7*v - 24*t, 5*t + 25 = 35*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 8*f - 5. Calculate p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:43 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (14 - -14)) + -42 + (-3 - -7 - -1).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -49*j**3 - 2*j**2 - 7*j + 21. Let i be r(-5). Suppose -4*p = i - 70311. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 32 - 6*i + 65 - 33.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 3\/10, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 16*m**2 + 12299*m + 4985. What is r(-119)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.32 - 0.3. Let p = -0.12 + s. What is the nearest to p in -4\/7, -2\/13, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 985946, 1971942, 2957928, 3943898, 4929846, 5915766, 6901652?\n\"Answer: -f**3 + f**2 + 986000*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -8 - (2 - 1). Let w be ((-6)\/r)\/((-3)\/4). What is the second derivative of -5*p**3 + w*p - 4*p + 3*p**3 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9846 and 742176.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19855 or 45085?\nAnswer: 19855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/146743 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 + 2. Let v = o + -4. Let s = v + 0. What is s rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - 2*sqrt(77)*-2)) + sqrt(77) - sqrt(77))\/(-3*(sqrt(11) + (sqrt(11) + sqrt(11) + 3*sqrt(11) - sqrt(11)))).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52379*k**3 + 82339*k**2 wrt k?\nAnswer: 314274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 4*s**2 - s**2)*((-s - 4 + 4)*(3 - 3 - 1) - 3*s + 2*s + 3*s + s + 0 + 0 - 204*s + 1233 - 1233).\nAnswer: 200*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**3*l**2 + 42*c**3 + 7*c**2*l**2 + 4*c*l**2 + 3*c wrt l.\nAnswer: -6*c**3*l + 14*c**2*l + 8*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13880 + 13880. Let r = -427\/12 + 109\/3. Which is the closest to -4\/9? (a) z (b) -2 (c) r (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 - (5 - -1) - (1 - -2). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by -51050\nAnswer: 81\/51050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-3)\/b))\/b)**(-2\/77)\/((b**(-2\/5)*b)\/b**(-2\/3)) assuming b is positive.\nAnswer: b**(-1583\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:27 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 22373*i - 246242. Calculate o(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*j - 2*j + 4 = 0, -4*z = -4*j - 32. What is the derivative of -z*v - v + 7 + 9*v + 10*v wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 + 26716*b**3 + 178542960*b**2 + 1426100368*b - 3566586320 = 0. Calculate b.\nAnswer: -13354, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 297 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -36\/277?\nAnswer: -36\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112.895 - -113. Let o = l + -0.104922. Round o to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.0306 - 135.2952701\nAnswer: -133.2646701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eer when three letters picked without replacement from reeereeee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57.15 + -58. Let d = o + -0.15. Which is smaller: d or 29\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6424?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)\/s**(-1\/5))**(5\/2) assuming s is positive.\nAnswer: s**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*u**3 - 6 + 28*u**3 + 2 to the form r*u**3 + s*u + p + j*u**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from aaaaaapaapaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175321165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 = -s + 3*s. Suppose -5*x + 4*c = -s, -2*x + 0*c = -2*c - 112. Suppose -5*h = -h - x. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - 66\/(1 - 3) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujuixnuujizi. Give prob of sequence uj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 55397 = -5*t, -17085 = -4*k + 3*t + 38302. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8574269 (base 10) to base 8.\nAnswer: 40552475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36917.\nAnswer: 19, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*u + 60 = -612*u. Solve -u*s - 8 = -28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16)\/14 - 44880\/(-168) is divided by 58.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (8 - 5) - (1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and 89\/268.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -64*f. Let x(h) = -13*h. Let c(u) = -q(u) + 5*x(u). Let w(g) = -15*g. Calculate c(w(m)).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 559415 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: Which is the smallest value? (a) 2 (b) 15 (c) -2 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*p**2 - 423*p - 34*p**2 + 1370*p**3 - 197*p + 65*p**2 wrt p?\nAnswer: 8220*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, 5096, -1, 4, 41 in decreasing order.\nAnswer: 5096, 41, 4, 3, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16520 + 56728 = -1436*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8784 + -8?\nAnswer: 8775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 560\/56*1*(-2)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 2) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573.004093 + -0.128?\nAnswer: -1573.132093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*v = -122, 0 = -5*f - 0*v - 2*v + 180. Suppose 4*q = 8*q - 4. Is -2 + q\/(2\/f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 10. Let h be s(-1). Differentiate 19*b**3 + 16 - 19*b**3 - h*b**4 + 42 wrt b.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let s(x) be the first derivative of -1\/2*x**2 + 4 - 1\/3*x**3 + x. Give s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6302595 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-40)\/15)\/(-8))\/(2\/36). Let g(w) be the first derivative of -w**4\/4 + 2*w**3 + 6*w - 1. Let s be g(n). Which is bigger: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 80, -5, 4, 729, -4 in decreasing order.\nAnswer: 729, 80, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k + 2. Let t be u(1). Let m be (1 + -1)*t\/20. Solve m*h + 3*h - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 82 + 223 = 0. Let c = 69 + h. Suppose 29 = c*r + 5. Are r and 9\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 981.1 times -5\nAnswer: -4905.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.293 + 0.023. Let a = d - -0.07. What is the third smallest value in -2, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 1858714*v\/5 - 40886868.\nAnswer: -2*(v - 929247)*(v - 110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2*3)\/(sqrt(9)*3*-1).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 40*v - 96.\nAnswer: -4*(v - 6)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*4\/(0 - 4). Let i(u) = u + 15. Let y be i(-9). Let a = y + q. Solve 6 + a = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**4 + 2*q**4 + 2*q**4)*(-2*q + 3*q - 3*q) + 5*q**5 + 9*q - 9*q + (2*q - 3*q + 0*q)*(-3*q**2 + 3*q**2 - 2*q**4) - 4*q**5 - q**5 + 6*q**5.\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393377.5 centuries to millennia.\nAnswer: 39337.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2 + 5\/7*j - 2\/7 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Let l = 15 - 36. Let z = -3 - l. What is the greatest common divisor of h and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 8*d + 394. Give o(26).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -8. Let q = -51 + 33. Let d = q - -17.6. Sort n, d, -2\/3.\nAnswer: n, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) - sqrt(11))*-1 + sqrt(11) + sqrt(11)*3 + 3.\nAnswer: 3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w. Suppose 0*f = f - 8. Calculate the least common multiple of s(-8) and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464466858.\nAnswer: 2, 3, 77411143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 535 - 47?\nAnswer: 4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -102*f - f**3 + 57\/2*f**2 - 79. Find c such that y(c) = 0.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-459)\/(-510)*(2 - 46\/(-12))\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 112. Suppose 37 = 18*x - 1475. What is the greatest common factor of g and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*z)*(4 + 2 - 4) + (3 + 1 - 6)*(-37*z + 237 - 237) + 3*z + 2*z - 4*z in the form f*z + t and give f.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-2))\/((-5)\/(-10)). Let t(z) = -z. Let n be t(y). Let g(s) = -s + 2. Give g(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p + 0*p + 285*p**2 - 9*p to y*p + f*p**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160222*r**3*s**2 - 161*r**3*s - 37*r**3 + 3*r*s wrt s?\nAnswer: 320444*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10761 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4058?\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -47289574 divided by -1\nAnswer: 47289574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24.68162 litres?\nAnswer: 24681.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1731095427641 + 6.\nAnswer: 1731095427647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 12) to base 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-8) + 3)\/((-5)\/20). Let h(g) = n - 9 + g. Let p(o) = -75*o**2. Calculate p(h(c)).\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -73, -169, -303, -475?\n\"Answer: -19*b**2 - b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0 - 8. Let v be 2 + -1 + (g - 1). Suppose 3*j - 1607 = -v*q, j = 3*j - 4*q - 1050. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 2 d when four letters picked without replacement from totoooootooododoo.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - l**3 + 0*l**3 - 7*l**3 - l**3 + l**3 + (-l + 3*l + 0*l)*(2*l**2 - 6*l**2 + 3*l**2) - 221*l + 35*l**3 + 221*l.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 366089879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 5*i**4\/24 + i**2. Let o(m) = 190*m - 373*m + 184*m. What is o(v(r))?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 914 + 35738. Suppose -42*l = -8*l - o. What is the highest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 0 - (-32 + 109 + -20).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -559821, -559826, -559833, -559842?\n\"Answer: -j**2 - 2*j - 559818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + ((sqrt(704) - (sqrt(704) + 1)) + -2 - sqrt(704))**2.\nAnswer: 48*sqrt(11) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v - 9*v - 3*v - 2*v + 3*v. Let c(x) = 6 - 6*x + 3 - 9. Give c(m(p)).\nAnswer: 96*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -3, 3, 130 in descending order.\nAnswer: 130, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 8775?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 - 3*j + 5. What is v(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((24948\/1224)\/(-99)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-6 + 12 + 4 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(34)\/sqrt(162)*-3 - ((-2 + sqrt(612))**2 + sqrt(17))*5))*3.\nAnswer: -9243 + 344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.75850439 to three dps.\nAnswer: -4.759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -493?\nAnswer: -493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by 11\nAnswer: -142\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-15 + 2) + -4. Suppose 0 = 49*r - 52*r - g. Put 10, r, -4 in ascending order.\nAnswer: -4, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 129, 283, 547, 927, 1429, 2059?\n\"Answer: f**3 + 49*f**2 + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l, -18 = 2*o - 4*l - 4. Which is smaller: -2\/191 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1412?\nAnswer: -2824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 356377612 - 1?\nAnswer: 356377611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756718, 758835, 760952, 763069, 765186, 767303?\nAnswer: 769420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1814.0927407 from -0.406.\nAnswer: -1814.4987407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1769 is divided by 110.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -101943 and 14.9?\nAnswer: -1518950.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 7. Let z(x) = 1. Determine -i(m) + 5*z(m).\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 15*g + 7. Determine y(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2690*p - 18439 + 39136 = -280583 for p.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 400396577*f*x + 19298015*f wrt x.\nAnswer: 400396577*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 12*j**2 - 23*j - 5. Calculate o(11).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -65, -107?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s - 3*s - s**3 + 8*s**2 + 2*s**2 - s. Let z be p(10). Is 74\/5 + 2\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*b - 2*a, -37 = -5*b + 4*a - 16. Let z be (36\/16)\/((-3)\/(-8)). Suppose 3*l - z = 6*l. Which is smaller: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1381, 1238, 1095, 952, 809?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -2.4. Let w be 7\/(-7)*1\/(-5). Which is the nearest to z? (a) -4 (b) w (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 27 + 4*y**3 + 2*y**2 + 27 + (0*y + 2*y + 0*y)*(2*y**2 + 0*y**2 - y**2) + y**3 - 5*y**2 + 5*y**2.\nAnswer: 7*y**3 + 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 160 = 5*z. Let x be (0 + z)*(-4)\/(-8). Let v = -9 + x. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82646 - 82641. Determine k so that -1\/6*k**4 + 1\/6*k**l + 0 - k**3 + 0*k**2 + 0*k = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437340 by -72890.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3819 - 15243\/4. Let z = 695193\/164 + -4239. Calculate the common denominator of z and u.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017931 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 37. Let r = 16322.8 + -16322.8. Which is the biggest value? (a) 4 (b) r (c) t (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*p**4 - 335162*p**3 - 2*p**2 - p - 4346.\nAnswer: -288*p - 2010972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let o be ((-1)\/(-1))\/1*(-5 + 9). Find the second derivative of 2*f**4 + i*f**o + 2*f**4 + 2*f wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 31*o + 35. Let l be m(26). Let i = l - -383\/4. Determine z, given that -9\/4*z + 3*z**3 - i*z**5 + 3\/2 + 0*z**4 - 3\/2*z**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-6)\/4 + 0). Suppose k + 4 = h*k. Let g(l) = 11*l**k - 4*l**2 + 9*l + 1 - 6. Let m(w) = 4*w**2 + 5*w - 3. Calculate -3*g(s) + 5*m(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7*f = 24, -5*d + d - 4*f = 0. Let o = 1533 - -1313. Is o + (2\/d)\/(1\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - 33. Suppose u = -0*d + 5*d. Suppose -135 = -4*y - d. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 70 = 6*r. Suppose -k = -3*h + k + 187, h - k = 63. Let d = h + 16. What is the greatest common factor of d and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -287, -0.3, -90, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r + 65. Let t be m(-7). Which is the nearest to -1? (a) -4 (b) 0.2 (c) 2\/7 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(6\/(-153)). Suppose -3*v + 1 + t = 0. Suppose v = 4*m - 6. Solve m*u = -2*g - 23, 2*u + 2*g - 10 = 7*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62272.2 rounded to the nearest 100?\nAnswer: 62300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2148\/60 - 1\/(-5). What is the common denominator of (26\/20 + -1)\/(m\/65) and -50\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26564, 26567, 26570?\n\"Answer: 3*d + 26561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 18*l + 8. Calculate the least common multiple of 24 and r(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/589 + -7621\/5301. Find the common denominator of -70\/9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:58 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*u - 195, -u - 29 - 77 = 3*i. Let a = -31 - i. Let d = -107\/4 + 2255\/84. What is the closest to a in -5, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h\/h**(-1\/28)))\/h))\/(h\/h**14)*h*h*h*h*h**(1\/3)\/h*((h**(7\/2)\/h)\/h)\/h assuming h is positive.\nAnswer: h**(1585\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1666, 1631, 1572, 1489, 1382, 1251?\n\"Answer: -12*n**2 + n + 1677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -1\/5, -0.1, -0.3, 16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10932.9 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -5, -0.06, -0.11 in increasing order.\nAnswer: -5, -0.11, -0.06, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53568*y - 16 + 53570*y - 107532*y)*(-1 - 1 + 3)*(3 - 6 + 2 + 1 + 0 + 1 - 3 - 3 + 5 - 1 - 2 + 2 + 1 + 3 - 2 + (1 - 2 + 0)*(5 + 1 - 4) + 6 - 3 - 1).\nAnswer: -394*y - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10767006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2888 - -2893. Sort 9, 0, i in ascending order.\nAnswer: 0, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 3. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Suppose g - 32 = -3*i, 0*i - 5*i - 60 = -4*g. Suppose g = r + 4*q, -j*r + 3*r = 3*q - 15. Let h(d) = d**3 - d**2 - 7. Calculate h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r**8)**(2\/41) assuming r is positive.\nAnswer: r**(46\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-313 + 313 - 2*j)*(-j**2 - 4*j**2 - j**2) to w*j**2 + v*j**3 + h*j + p and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1064 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-20 - -17) + 0 + -18?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 151 = -4*l, 89 = -l - l - 5*m. Which is smaller: l or 2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**6)\/(((g\/(g*g**(-1)*g))\/g*g)\/g))\/(g**1\/g)**6 assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1792 + 3042. Calculate the remainder when v is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1441 + -1440.92. Which is the second smallest value? (a) -7 (b) q (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8752 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7075.969 grams to kilograms.\nAnswer: 7.075969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/646, 0.6273 in decreasing order.\nAnswer: 0.6273, 3\/646, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57359 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 - 9*k + 7*k - 14*k + 32 - 8*k**2. Calculate f(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + (sqrt(96) - 1*sqrt(96) - sqrt(96)))*2 - sqrt(96))\/(sqrt(96)\/(-2*sqrt(392))).\nAnswer: 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 970.8092 centimeters?\nAnswer: 0.009708092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9347195 and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let a(i) = i + 3*i + b*i. Let j(c) = -3*c**2 - 7*c + 1. Let g(n) = 16*n**2 + 35*n - 5. Let q(h) = -g(h) - 5*j(h). Determine a(q(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 14301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) + -1 + -4. What is the remainder when f*2\/(-6)*26 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + (49 - (47 + -27))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338410, 676744, 1015078, 1353412?\nAnswer: 1691746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/72 and -125\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p + 6*p - 4 - 15*p. Let w be v(4). Let u = 56 + w. Solve 13 = 4*y - k, -2*y + 5*k - 4*k + 7 = u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18324 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 28 - 41. Suppose -j + 5*i = 3*j - k, 3*i + 19 = 5*j. Solve -j*f = -d, 0*d = -2*f - 4*d + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15272927 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1041 in 2, 3, -6\/11, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -12\/5, 16, -1, 1 in increasing order.\nAnswer: -12\/5, -1, -2\/7, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*c - 6*r + 2*r, c = -4*r - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 199.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 3*s**2 - 6*s - 5. What is j(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4\/77 (b) 15 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-8)\/(-3) - 2). What is the units digit of 1\/1 + 8 - j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*z + 58*z + 93*z - 58 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 + 280*g - 3652. Give u(35).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205188?\nAnswer: 2, 3, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spg when three letters picked without replacement from pgzgsgz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 64, 0.2, 6, -0.5, -1.5, 2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 11*j - 54, 0 = -22*j + 18*j - b + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:55 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 110880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + 2*n**3 + 3*n**2 + n - 5*n**4 + 1 + 8*n**4 - 2 to x + o*n + t*n**3 + i*n**4 + h*n**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -63 - 25. Let l(f) = -11 + 2*f - 14 + h. Calculate l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*p + 3 = -140*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594766, 594746, 594714, 594670, 594614?\nAnswer: 594546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5840, 11691, 17516, 23309, 29064, 34775?\n\"Answer: -o**3 - 7*o**2 + 5879*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001111011 (base 2) in base 6?\nAnswer: -150535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/35742 and -47\/14.\nAnswer: 35742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/7)*n)\/n)**(-1\/3))**(-31) assuming n is positive.\nAnswer: n**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6 + 0 - 3*l - 6. Let m(z) = -2*z**2. Give v(m(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -275*z + 190. List the prime factors of u(-8).\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.732772 minus 6710?\nAnswer: -6793.732772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75656253\/7 or 10808036?\nAnswer: 75656253\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11815.36 nanometers?\nAnswer: 0.001181536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*(sqrt(1701) + sqrt(21)))\/(sqrt(30)\/(sqrt(10)*-1)))**2*-2 + 4 + 1.\nAnswer: -1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/60 - 7*b**4\/24 + 3*b**3\/2 + b**2. Let o be p(-7). Let r = -5 + o. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(6\/13)*k*k**(-11))**(3\/2) assuming k is positive.\nAnswer: k**(-333\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 4*j - 8. What is the tens digit of 3 + -5*(-3 + j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*f**2 + 1419*f**2 + 1284*f**2 - 442*f**2.\nAnswer: 2196*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Suppose -5*l + 4 = -j. Is 7\/3 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 5*f = -18. Let y(b) = -3*b**2 + f*b - 18*b + 12*b. Let r(p) = 10*p. Calculate r(y(q)).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p**23*p)\/p)\/p*p))\/p*p**(2\/51) assuming p is positive.\nAnswer: p**(-1171\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q - 11. Suppose 56 = -j - 3*j. Is g(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -22. Let d = -12 - x. What is the common denominator of d + -2 + (-71)\/6 and -85\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10 - ((-2736)\/(-90))\/19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lznzzzssnzsz. What is prob of picking 1 s, 1 l, and 1 n?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(3*sqrt(6)*-1 - sqrt(6)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037229 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2306*m**3 + 9*m**2 - 5*m - 6144633 wrt m.\nAnswer: -6918*m**2 + 18*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14536, -45660, -76784?\nAnswer: -107908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lloqpblublbp. Give prob of picking 1 p and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 0*i**2 + 6*i**2 - 3*i**2. Let g(b) = 3*b. What is y(g(p))?\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let s be c(-2). Let n(k) = -10*k**s + 2*k**3 + 12 + 4*k**2 - 7*k - k**3 - 2*k. What is the remainder when n(8) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -657 - -1172. Let p = 515.0000276 - f. What is p rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13*h*h**(-8))**(9\/11))**28 assuming h is positive.\nAnswer: h**(1512\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -779 + 782. What is the biggest value in 1.7, -2, -3\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13117 is divided by 6430.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 7:10 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxiq when four letters picked without replacement from qqydxiy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 638, 246, -160, -580, -1014, -1462, -1924?\nAnswer: -2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 12. Suppose -2*q = 3*q - 15. Let c(s) = s - v*s**q + 0 + 2*s**2 - 3*s + 1. What is c(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 109.9 or -1?\nAnswer: 109.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -350*c**3 - 169105*c**2 + 237205*c - 67725. Let q(h) = -29*h**3 - 14092*h**2 + 19767*h - 5644. Let n(j) = 2*g(j) - 25*q(j). Factor n(y).\nAnswer: 5*(y - 1)*(y + 565)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82\/203831 or 1?\nAnswer: -82\/203831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(sqrt(396) + -1)*3)**2.\nAnswer: -3240*sqrt(11) + 128529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11204 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46568 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 8 = -5*t + b, -11 = t + 4*b. Let u be (-4 + (-2400)\/(-590))*(-3)\/4. Do u and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 1\/2 (c) -249939 (d) -2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6000)\/(-9))\/(13\/244491). What is g rounded to the nearest 100000?\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371357739 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: Convert -21021 (base 4) to base 7.\nAnswer: -1464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -135 + -1011?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1253, 2758, 4479, 6524, 9001, 12018, 15683?\n\"Answer: 18*f**3 + 1379*f - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458*b**3 + 478*b**2 wrt b?\nAnswer: 2748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -949*r + 14685. Let z be q(10). Which is smaller: z or 5196?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -461 + 3373?\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1054, -2110, -3166, -4222, -5278?\nAnswer: -6334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 761566 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -2696.2.\nAnswer: -2693.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:03 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n - 80*n + 2036370 = 0. Suppose 0 = -1565*x + 1568*x - n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, y: 3, s: 7, l: 4}. Give prob of picking 4 s.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.012*2.4321.\nAnswer: 0.0291852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-12)\/d*d)**(-19))**(-3\/11) assuming d is positive.\nAnswer: d**(-684\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 35*t**2 - 19*t**2 + (0*t - 2*t - 3*t)*(3*t + 3*t - 4*t))*(-7*t**2 + t**2 + 0*t**2).\nAnswer: 390*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z + 38. What is the units digit of p(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7571 + 6283. Suppose -3114 = 4*c - s. Suppose 0*b = 5*b - c. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 347 + -317. What is the greatest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-48) + (-1)\/(-12)*3502. Suppose 7*v = j + 51. Calculate the least common multiple of v and 35.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133343 - 133338. Let a = 7 - 0. Calculate the least common multiple of f and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - l + 18 = 0, 24 = g + 4*g + 2*l. Let i(p) = -490*p**2 - 3 + 5 + 2*p**3 + 490*p**2 + 5*p + 1. Is 30 a factor of i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4))**2 + 5*(-1 + sqrt(7)).\nAnswer: 5*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-106) + (4 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k - 5*s + 23, -2*k = 3*s - 18. Calculate the lowest common multiple of k and (7 - 371\/21)*3\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 537 - 513 = 160*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:16 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51292609 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (0 - -2) + 73 + -77.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -326*r**2 + 89*r - 11. Let b(v) = 79*v**2. Calculate o(b(i)).\nAnswer: -2034566*i**4 + 7031*i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2276778*-0.025.\nAnswer: -0.005691945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/56 + (-33)\/(-7). Suppose -2*c + 182 = -d*n, 387 + 102 = 5*c - 4*n. What is the second derivative of -13*r**4 - 2*r**4 - c*r + 84*r wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 + 21717\/39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvv when three letters picked without replacement from {z: 1, v: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/68310 and 23\/15570.\nAnswer: 11817630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-18)\/5 - 609\/(-1740)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1.6363?\nAnswer: 8.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + 1*sqrt(126)*-4)\/(-1*sqrt(8)) + -2)**2*2.\nAnswer: -36*sqrt(7) + 583\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -32 + -3 - (4 - 3)) + -2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/c**(-6))\/((((c*c**2)\/c)\/c*c*c)\/(c\/(c**0\/c*c))) assuming c is positive.\nAnswer: c**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1.9, 3\/4, -43957\/9, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:48 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -1, -6 in increasing order.\nAnswer: -6, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/230)\/(24*(-55)\/19800).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1927 divided by 44\nAnswer: -1927\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20220, 80916, 182068, 323670, 505716, 728200, 991116, 1294458?\n\"Answer: -v**3 + 20234*v**2 + v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22396, -13402, 11024, 58598, 137036, 254054, 417368, 634694?\n\"Answer: 1286*d**3 - 8*d - 23674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.90941777 to 2 decimal places.\nAnswer: 102.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = 21 - 57 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*t + 2*b, b = 2*t + 5*b + 24. Let u(o) = o**3 + 4*o**2 - o + 2. What is u(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 27. Let b be (8 + -4 - z) + 3. Solve 0*f**2 + b*f**4 + 2\/3*f**3 - 1\/3*f**5 - 1\/3*f + 0 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 4455*v + 8906.\nAnswer: (v + 2)*(v + 4453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*u + 226, 0 = -2*j - 9*u + 6*u - 152. Let y be (-4)\/14 - (-120)\/j. Let k(p) = -3*p**3 + p**2 + 5. Let n(v) = -v**3 + 2. What is y*k(a) + 5*n(a)?\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 67*q - 2040 = 58*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 3*c**2 + (0*c**2 + 2*c**2 + 0*c**2)*(1 - 3 + 0) + (35*c - 2 + 2)*(-c + 0*c + 0*c) - 2*c + 2*c - c**2.\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 132*y - 72. List the prime factors of m(-24).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:02 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2652474549 to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 13. Suppose u + 2 = -c. Let l be u*(-3)\/9 + 3. Solve l*z = -5*n + 16, -12 = -4*z - 0*n - 4*n 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 1157776 and 1966928?\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 + 1164*d**2 - 149784*d + 294880 = 0. Calculate d.\nAnswer: -388, 2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 959641, 959640, 959639?\nAnswer: 959638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/30)\/((-39)\/(-26))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 15*l - 18. Let u(q) = -14*q + 18. Let k(w) = -4*n(w) - 6*u(w). Find j such that k(j) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51510780 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**3 - 4*j**2 + 7*j + 13. Let h(q) = -5*q**3 + 2*q**2 - 3*q - 6. Let v(u) = -13*h(u) - 6*n(u). Calculate v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -3 (b) 5\/4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h + 5*q + 16, -3*q = 3*h - 3. What is the units digit of (h\/2)\/((-6)\/(-248))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k**(-2\/15))**(-14)\/((k\/(k*k**(2\/3)*k*k*k))**12)**(1\/6) assuming k is positive.\nAnswer: k**(1132\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43174986*a**3*t + 4*a**3 - 7*a**2*t + 11*a**2 - a*t - 3*a - 115*t - 6 wrt a?\nAnswer: -259049916*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-3)\/(-12)*0 - -2. Solve 8 = b*d - 0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = 3*w - 41196, 6 = 2*d. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*q - 263*q - 26*q**3 - 234*q.\nAnswer: -26*q**3 - 424*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679468368.\nAnswer: 2, 3, 157, 90163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4 + 30980564*f**3 - 112279648*f**2 wrt f.\nAnswer: 48*f + 185883384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + 4 + -1 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13937, -13927, -13917, -13907, -13897, -13887?\n\"Answer: 10*m - 13947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 1933 - 1933 + n. Let p(s) = -2*s**3 - 3*s**3 + 4*s**3 - s + 4*s. Determine 12*h(g) - 4*p(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 6, c: 13}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 7794 + -3 + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45512525*f**5 - 54187824*f**2.\nAnswer: -2730751500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2641\/429 + 3\/286. Find the common denominator of 83\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**4 - 3*y**4 - 4*y**4)*(540 + 164 + 253 - 223) in the form m*y + s*y**4 + l + h*y**2 + d*y**3 and give s.\nAnswer: -5138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 2*x. Let y(q) = 159*q**3 - 8*q + 127. Let i(a) = -4*g(a) - y(a). Differentiate i(z) with respect to z.\nAnswer: -465*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvfyy. What is prob of sequence vf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) 3 (c) -1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 3 (c) 3\/7 (d) -2\/73 (e) 15\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.72 - 0.89. Let t = 1.17 + l. What is the closest to t in -1, 0.2, 64?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9216 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(98) + 4 + sqrt(98) + -1)**2 + ((sqrt(98) + -2)*-5 - sqrt(98))**2 + 3*(-3 + (1*sqrt(98))**2*3)).\nAnswer: -9804 + 1512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 4*n**2. Let y(h) = h**3 + 10*h**2 + 7. Let d(c) = 5*s(c) - y(c). Find the first derivative of d(f) wrt f.\nAnswer: 12*f**2 - 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:02 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9 - p**3 + 7*p - 1 + 4 + 5*p**2. What is j(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13111000 + -133?\nAnswer: -13111133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4158 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 7*v**2 - v. Determine k(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9872 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: Rearrange -7*z**2 + 895*z - 895*z + 3 to v + x*z**2 + g*z and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16798 and 1135?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137 and 4657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -i - 338 - 125, 5*p = 5*i + 1160. Solve 220*w - p*w + 77 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 9977526.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5725835 != 5725836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*-5.73.\nAnswer: -1.7763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/4)*q))**(-18)*((q\/q**(-2\/17)*q)\/q)\/((q\/(q**(3\/4)*q))\/q) assuming q is positive.\nAnswer: q**(-111\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37)\/(-2) + 1\/(-2). Let g(h) = -59*h - 74. Let c be g(-4). Calculate the highest common factor of r and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 11, -0.4, -4, 71?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/14)\/(6 + 480\/(-70)). Let t be 2\/24*4\/6*8. Determine n, given that -b - t*n + 2\/9*n**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322.9 - 323. Which is the nearest to 2\/7? (a) j (b) -2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156556437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)*o**(-16))**(-31\/4))**(-3) assuming o is positive.\nAnswer: o**(-1519\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 373030267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 49*j - 334. What is k(6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(26)\/(sqrt(2) + sqrt(18) - sqrt(2)))**2 - ((1 + (sqrt(13) - (sqrt(13) + 1 - sqrt(13))))**2 - sqrt(91)\/sqrt(28)).\nAnswer: -68\/9 - 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.1 + 19.6. Let f = n + -10. Which is the closest to 1\/3? (a) -1 (b) -2\/15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/14409?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w - 4, 2*s - 5*w - 30 = 0. Put s, -0.4, -9\/4 in increasing order.\nAnswer: -9\/4, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**3 + j**2 - 28*j - 88. Is z(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 1\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259350194.\nAnswer: 2, 59, 181, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((6*(sqrt(112) + -1*sqrt(112)))**2 - 2*(sqrt(112) - (-1 + sqrt(112)))) + 2)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -47, -153, -333, -605?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*19\/(-2)*-2. Suppose 0 = -i - y + 46. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 415 - -3?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 20 + 27 - 98 + 20 - c.\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7465*m + 2488?\nAnswer: -7465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -481 + 480.5. Suppose 9*n + 12 = 12*n. What is the closest to 1 in -5, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4542 + 327035\/72. Calculate the common denominator of -145\/12 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/91*1\/((-5)\/(-35))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338150*x = -345466*x - 819392 for x.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62795.\nAnswer: 5, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41336 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -1\/2 (b) -28 (c) 1125 (d) -1\/4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3\/2 + 2679*u**2\/2 - 5349*u\/2 + 2673\/2 = 0. Calculate u.\nAnswer: 1, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*f**3 + 19*f**3 - 5*f**3)*(0 + 2 + 1) to the form c*f**2 + q*f + j*f**3 + z and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 2556*b**3 + 552015*b**2 - 3220722*b.\nAnswer: 3*b*(b - 423)**2*(b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 925.5937cm in meters?\nAnswer: 9.255937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from eoeqnwcq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*s + 21, 7*x - 25 = 131*s - 133*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.017 in -19, 4, 1, -4\/11, -4\/7?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 23\/9, -1, -3, 5 in decreasing order.\nAnswer: 5, 23\/9, 0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2124879316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18000 - -18037. Calculate the remainder when 2723 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/8 + 709*x**2\/4 + 14255*x\/8 + 8925\/2.\nAnswer: -(x - 1428)*(x + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*k**4 - 240*k?\nAnswer: 1272*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 9:29 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 5463a8?\nAnswer: 546393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q**5 + 42*q**4 - 172*q**3 + 54*q**2 + 164*q - 96 = 0.\nAnswer: -8, -1, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*n + 222*n + 5*w + 1430 = 0, 836 = 3*n + 8*w. What is the lowest common multiple of n and 852?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 38*h - 98. Determine u(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {x: 1, z: 1, y: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 517971072*z**2 - 443446*z + 149.\nAnswer: 1035942144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 649*q**3\/3 + 64. Let x(t) = 2*t**2. Determine s(x(g)).\nAnswer: 2596*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22730400 divided by 900\nAnswer: 25256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-31)\/310)\/(((-1323)\/140)\/9)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111992, -224256, -336508, -448742, -560952?\nAnswer: -673132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 4*h + 5. What is the remainder when 28 is divided by i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and -0.1.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i**2 - 4*i - 1. Suppose 0 = 5*a - 6 - 9. Let l(q) = -10*q**2 - 4*q. Let v(s) = a*d(s) - 4*l(s). What is the units digit of v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -6 - -2 - -4) + (45 - 13).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*n - 990, 2*x - 268 = 5*n + 163. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/((-8)\/16). Let q be (-4)\/(-4)*2*v. Suppose 153 = q*r + 3*n - 65, 2*r = -2*n + 110. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62700?\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -517 + 527. Solve x = 2*j + v, 0*j - 4 = j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 42 = -5*k. Let p = 38 + 68. Suppose -3*t - 22 = -p. Solve 0 = 4*r - 3*q + t, 5*r + k*q = 3*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3485 - -3531. Calculate the greatest common divisor of v and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 + -137. Put 1, n, 5, 4 in increasing order.\nAnswer: n, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 11*n**2 + 6. What is p(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2344, -4438, -6532, -8626, -10720, -12814?\nAnswer: -14908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, 1\/8, -0.23, 5 in ascending order.\nAnswer: -5, -0.23, 1\/8, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43.61319 - 0.12681. What is x rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 2\/7 (c) -5 (d) 5797 (e) 1 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 2 + 5 - m. Suppose 0 = -3*f + 10*f - 84. Is 4 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*p + 148*p = 96. Solve -n = 3*f + p - 2, 2*f + 1 = -n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-3 + sqrt(320)*1 - sqrt(320)) - 4*6*-2*sqrt(320))*3)**2.\nAnswer: -124416*sqrt(5) + 6638436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4300 - 4287. Solve 17*v = f*v - 13*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 14. Solve 88\/5*j - 16\/5 + 10*j**3 - 28*j**v = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7555 or 7554?\nAnswer: 7554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15*r**3 - 6*r**2 - 4*r - 6. Let k(b) = -46*b**3 + 17*b**2 + 11*b + 17. What is -17*g(l) - 6*k(l)?\nAnswer: 21*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 162522317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8689 - 8279. What is the lowest common multiple of g and 246?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/120 - b**5\/60 - 2*b**3 + 51*b**2 + 2. Give y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4965 - 4960. Let k(g) be the first derivative of 0*g**4 + 0*g**3 - 15 + 0*g + 7*g**2 - 16\/5*g**r. Find the second derivative of k(c) wrt c.\nAnswer: -192*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0 + 0)*(-188*x - 113*x + 91*x) + 2*x**2 + x**2 - 9*x**2.\nAnswer: -216*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*j**2 - 4 + 7*j**2.\nAnswer: 5*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*f + 3*l + 88, -4 = l. What is the greatest common divisor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/720 - d**5\/180 + d**4\/144 - d**2. What is p in y(p) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 12 = -2*z - 2*q, -q = 2*z + 4. Suppose -l + 19 - 5 = z. Calculate the smallest common multiple of 12 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -0.4. Let j = 0.3448 - 0.14472. Let p = v - j. Round p to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*sqrt(63).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0*p + 0 - 1\/12*p**4 + 5*p**2 - 1\/2*p**3. What is the first derivative of w(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -373 - -645. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*k = 78*k - 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -15 in decreasing order.\nAnswer: 4, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/2 (b) -3\/5 (c) 6 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477 and 3110517?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 20 = 4*x, x - 3*h = -x - 2. Let m = 74 + -19. Let v = m - 55.3. What is the closest to v in -5, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**2 + 335*m**2 + 170*m**2 + (-1 + m + 1)*(-4*m - m + 3*m) + 2*m**2 - 4*m**2 + 3*m**2 to the form i*m**2 + v + t*m and give i.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 5}. What is prob of picking 2 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(208) + -2 - (2 + sqrt(208))*3) + ((sqrt(208) - (sqrt(208) + 2 + -3)) + 4 + sqrt(208) + 0)**2.\nAnswer: 32*sqrt(13) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6536794 and 902?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 - 964*s - 1912 = 0.\nAnswer: -239, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from jvvvvvjqvqqvvqjzvvv?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.3, 1\/4, 0.238, 9.\nAnswer: -0.3, 0.238, 1\/4, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.803 less than -14766554?\nAnswer: -14766551.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vevobev. What is prob of picking 2 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -310c13 (base 13) in base 5?\nAnswer: -243110414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q + 7. Let k be c(-7). Let w be (-2)\/k - (-28)\/70. Factor 3\/7*t**5 + 3\/7*t**4 - w*t**3 + 0 - 3\/7*t**2 + 0*t.\nAnswer: 3*t**2*(t - 1)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f = -58*f - 10*g - 65, 5*g = 2*f + 71 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/813 and 151\/18.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-14))\/6*(-3)\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*t - 5696 = 63*t - 4*c, -5*t + c + 14240 = 0. Calculate the highest common divisor of t and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 17 - 27)*(-1 + 5 - 1)*(35*g**2 - 26 + 26 - 3*g + 3*g + 2*g**2 + (2*g + 2*g - 2*g)*(-2 - 2*g + 2)) in the form j*g**2 + p + v*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -281.4 - -281. Let l = -2.85 + 0.25. Let f = t + l. Which is the closest to -2\/3? (a) f (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -a + 5*x, x = -2*a + 6*x + 329. Let m = a + -161. What is the smallest common multiple of 101 and m?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(100)\/(1*sqrt(2)) - ((sqrt(50) - (sqrt(150)*-1 - sqrt(150))\/sqrt(3)) + sqrt(50))))**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1382, -1323, -1254, -1169, -1062?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1132685 (b) 0.4 (c) 0.14 (d) 1\/7 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -4. Which is bigger: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.02926293 rounded to 1 decimal place?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3877002, -7754008, -11631014, -15508020, -19385026, -23262032?\n\"Answer: -3877006*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37863138*-6.\nAnswer: -227178828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05508679097 to 5 dps.\nAnswer: -0.05509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1401, -2822, -4269, -5754, -7289, -8886, -10557?\nAnswer: -12314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-490000)\/10200 - (-24)\/612.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9940 and 9625.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16917, 29045, 41173, 53301?\nAnswer: 65429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*k**3 - 17*k**3 + 8 - 16*k**3 + 3*k to r*k + f*k**2 + b + c*k**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-657)\/(-3312) + (-174)\/667.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174151\/24 - -7254. Let t = c + 947\/120. Let j = t + -242\/45. What is the biggest value in -0.4, j, 0.01?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195235 + 195235 - 495800*l.\nAnswer: -495800*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(3*a + 5*a + 17*a)*(-3*a + 0*a + a) + (3*a + a - 2*a)*(4 - 4 + 4*a) + 3*a**2 + a**2 - 5*a**2.\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3172 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 - t + 89. Is v(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 1.3. Is -0.06 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17525272*a*d**3 + a*d - 2*d**3 - d**2 - 4*d - 85154 wrt a.\nAnswer: 17525272*d**3 + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -335 - -561. Let l = 225.999907 - g. Round l to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6 - 9*o**2 + 10*o**2 + o**3 - 2*o + 0*o**3. Let r be f(0). Let s be (-106)\/(-6) - 2\/(-6). What is the greatest common divisor of s and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1101605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 1. What is the remainder when 24 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 + 11*a**2 - 9*a**2 - 2*a**2 - 12*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + 4. Let n be -1 - (-3 - x)*-1. Factor -2\/5*j + n - 2\/5*j**2.\nAnswer: -2*j*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-3)\/45*-6). Let s(m) = m**2 + 6*m - 16. Calculate the lowest common multiple of s(c) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 < -79548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28415, -57190, -86037, -114956, -143947, -173010?\nAnswer: -202145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 + 42 = 0. Suppose -11*g + o*g = -570. Let s = g + -104. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose -p*m - 4 = -14. Let z(v) = -v - 3. Let k be z(-3). Solve 3*a = 3*d - 3, -3*a = -d - k*d + m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*t - 216*t**3 - t**2 + 86*t + 90*t wrt t?\nAnswer: -1296*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323\/12 + -105\/4. Let p = 4 - 3.9. What is the third biggest value in p, j, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 1\/2 (c) 4 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006173278 to 7 decimal places.\nAnswer: 0.0000617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - 1*sqrt(343))**2 - 1*sqrt(175)) + ((5 + 2*sqrt(7))**2 - (sqrt(847)*-1 - sqrt(847))).\nAnswer: 37*sqrt(7) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 25840?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-23)*z**41\/z)\/(z**(2\/49)\/(z*z*(z*z*z**13\/z)\/z*z)) assuming z is positive.\nAnswer: z**(1664\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:39 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128582007 to the power of 1\/2, to the nearest integer?\nAnswer: 33594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -25 + 5 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.187 and 921317987815?\nAnswer: 921317987814.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727.3744 days to microseconds.\nAnswer: 62845148160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107525 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.53.\nAnswer: 1.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*s + 0*s - 44 = 0, -3*m - 5*s = -43. Let o be (-74)\/(-10) - (m\/15 + 0). Suppose o*w - 27 = 22. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j - 3*n + 144 = 0, 239 - 233 = 3*j - 3*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cf136 (base 16) to base 14.\nAnswer: -37534a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 2*v**2 - 4*v**2)*(2*v**2 - v**2 - 6*v**2 + (2*v + 0*v + v)*(v - 5*v - 2*v)).\nAnswer: -46*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.899897ng?\nAnswer: 0.000000000006899897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 126 - 128 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*m = -68, -x + 2273185*m - 2273186*m + 20 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092872 is divided by 9872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b + 6. Let g(c) = -34*c**2. What is u(g(n))?\nAnswer: -306*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*a. Suppose 4*k - a = -2. Solve 4*y + 16 - 4 = k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/(42*(-4)\/(-60)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + 29\/2. Suppose k + 253 = 4*p. Let v = 168 + p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 383 or 19963\/52?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b - 119*b - 812 - 1933 = -8*b for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/66 - (-10)\/22*(-10997)\/35?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 44?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 24. Let q be h(10). Let i = q + -29. Let t be -2*i*2\/(-30). Which is the nearest to 1\/5? (a) 3 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6412 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m - 12. Put 5, m, 25 in increasing order.\nAnswer: m, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 32. Let g be ((-3129)\/(-270))\/1 - -2. Let n = g + -97\/10. Find the common denominator of v and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkgkkkgkkgkgg. What is prob of picking 2 g and 2 k?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -13*b**3\/6 - 10*b. Let x(a) = 7*a. Determine 7*x(n) + 4*z(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-65.765\nAnswer: 19.7295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 - (224 + -211 - (5 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.5309134306 from -4.\nAnswer: 0.5309134306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 3*b + 6, 19 = 5*d - 8*b + 4*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59645586 by -66.\nAnswer: -903721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 - 4*i + 4. What is z(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.668523 to 1 decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y**2 + 4*y**2)*(-6 + 4 + 6).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-82)\/78 - (-10)\/15. Let u = 61\/91 + p. Factor 2\/7*y**4 + 0 + 4\/7*y**3 - u*y**2 - 4\/7*y.\nAnswer: 2*y*(y - 1)*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -105.\nAnswer: 115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 4:02 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11.072. Let i = u - -88.928. Let j = i + -85. Which is the fourth smallest value? (a) j (b) -5\/6 (c) -0.3 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -5 (c) 3\/8 (d) 5 (e) 1148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5\/3, -2, 58 in descending order.\nAnswer: 58, -0.5, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 75*i**3 - 69*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7227 - -25876. Calculate the highest common factor of 34 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1183 (base 10) to base 11.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/18)\/(1\/(-6)). Let v = q + 2. Suppose a = 0, 0*x - v*a - 6 = -x. Are 1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(3) + (sqrt(24)\/(sqrt(16)\/sqrt(2)) + sqrt(3) + sqrt(3) - sqrt(3))**2.\nAnswer: sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235204 = s + 3*s. Let q be 3 + (2 - (-4 + 8 + s)). What is q rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103353 - 1?\nAnswer: -103354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*sqrt(264)\/(sqrt(22)\/sqrt(2)))\/((sqrt(512) - (-1*sqrt(512) + sqrt(512)))*2 - sqrt(512)))**2.\nAnswer: 4*sqrt(3) + 67\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 2*f + 4 - 7. Let h be m(2). Suppose h*s = 19125128 - 4125128. Round s to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*w + 22. Suppose 8 + w = 7*p. Let x(m) = m**2 - m. Let r(t) be the third derivative of t**5\/30 - t**4\/12 - t**3\/6 + t**2. What is p*r(k) - 5*x(k)?\nAnswer: -k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Let r = 122 - 120. What is the fourth smallest value in -2\/7, o, -0.1, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*o + 5031, -13*w + 12*w - 3*o = 1671. Let x be (w\/(-18))\/8*3. What is the highest common divisor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91623431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70926437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 4*v + 2. Let r be w(5). Suppose -4*g - r = 3*s, 2 = -2*g - s + 1. Suppose g*l - 110 = -36. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**9\/1008 + v**6\/180 - v**3\/6 + 4*v. Let w(u) be the second derivative of i(u). What is the third derivative of w(h) wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 644, 998, 1392, 1820, 2276?\nAnswer: 2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197712 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7316660367630 - 7316625184162.99843. Let l = f - 35183663. Let k = 196 + l. Round k to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1237 = -3*v, 5 + 0 = v. Let w(m) = 3*m + h - 4*m - 360 + m**2. What is the tens digit of w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2164338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3483 = 2*l + 4444, -2*x + 3*l + 3173 = 0. List the prime factors of x.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-6)\/(-4) + (-11)\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.427 - 0.427. Which is the second biggest value? (a) v (b) -2 (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 4*p**2 - 6*p + 2. Let n be g(5). Let w = n - -2. List the prime factors of (148\/20)\/(w\/(-5)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23842, -50051, -76258, -102463, -128666?\n\"Answer: c**2 - 26212*c + 2369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/37440790 or 0?\nAnswer: -1\/37440790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11967 + 11843. Which is smaller: n or 3\/16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 16. Give g(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2 + 11*m - 1. Let n(v) = 7*v**2 + 9*v - 1. Let d(s) = 5*n(s) - 4*x(s). Let t(z) = -5*z**2 - 2*z + 4. Calculate 4*d(u) + t(u).\nAnswer: -9*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 1169*k**2 - 37664*k + 905984\/3.\nAnswer: (k - 16)**2*(k + 3539)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - m - 5. Let v(z) = -2*z**2 + 2*z + 6. Let t(u) = -9*u + 87. Let o be t(10). Let a be (10\/3)\/((-2)\/o). Calculate a*v(x) + 6*h(x).\nAnswer: 2*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 13 = -11. Suppose 22 = 3*h + z, g*h = -0*z + 2*z + 37. Solve -h = 4*l + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {d: 15, r: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 23*z + 19. Let h be l(-6). What is the units digit of (-2)\/7 + (-1938)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 74*u - 1078. What is the units digit of g(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {b: 5, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 - 64*j**2 - 5*j + 32. Calculate i(16).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by -4.\nAnswer: 169\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*l + 1016180, 4064832 = 1172*s - 1168*s - 4*l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 + -922?\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/63502944 and 83\/12.\nAnswer: 63502944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1684, -1939, -2194, -2449, -2704, -2959?\n\"Answer: -255*u - 1429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2\/54 - 0). Let m = -7 + h. Let l = 12 + -10. Solve z + 4 = b, l*z + 5*b = -z + m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:05 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9890\/53, 7, -2.\nAnswer: -2, 7, 9890\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)*-3 - (sqrt(95) - 4*2*sqrt(95) - sqrt(95)))\/(4*-4*sqrt(405)*2).\nAnswer: -17*sqrt(19)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 + 82.4. Let h = -32 - -29. Put -0.09, t, -1\/4, h in decreasing order.\nAnswer: t, -0.09, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.22 + -7. Let s = -0.42 + o. Which is bigger: s or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -6*u + 5*u, 4*u = 5*v. Let c be (3 + -2 - -265) + u. Let j be (224\/(-12))\/(-18 - 3*(-350)\/63). Calculate the greatest common factor of j and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) - 57\/(-12). Suppose -a*o = -2*r + 25, r = 5*o + 8 + 7. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from yww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 16*g + 4*g - 16 = -7*g, -9*m + 32 = -g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 252 + 850 = 0. Calculate the remainder when 104 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 69*v**2 + 32*v - 83. What is l(-35)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70597 and 2488?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -3*g + 0*g**4 + 0*g**6 + 1\/3*g**3 + 0*g**5 + 0*g**2 + 0 - 2\/21*g**7. Find the second derivative of y(a) wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i. Let p be h(-2). Find the second derivative of -z**2 - p*z - 5*z**2 + 4*z wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 7*o**2 - 21. Is 5 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -20 - 52. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223.859 + -224. Let b = h + 141.141. Let k = 140.99999285 - b. What is k rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 36856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/19 - -20\/57. Let a = 1 - -3. Let m be 0 + a\/(-5) - -1. Sort 5, m, r in decreasing order.\nAnswer: 5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*t**5 - 3220*t**4 - 1605*t**3 - 170*t**2 = 0. What is t?\nAnswer: -1\/3, -2\/13, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 447034 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (56\/56)\/(-5)*(-10)\/(2\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11308 and 17337991?\nAnswer: 69351964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 - 2.7. Let w = 0.3 - h. What is the closest to -2 in 8, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/616574 and -5\/2793?\nAnswer: 246013026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 0*f**2 + 0*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 627018 = o - 626990, -o = -5*h - 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/20 - 25\/(-50). Which is the second biggest value? (a) -4 (b) y (c) -252 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480182 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3333433297314 + 0.6\nAnswer: 3333433297314.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1211 <= -1211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m. Let g(f) = f**2 + 3*f - 1. Let q(o) = -3*d(o) + 2*g(o). Factor q(v).\nAnswer: 2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -121176, -123414, -125642, -127854, -130044, -132206, -134334?\n\"Answer: i**3 - i**2 - 2242*i - 118934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.0992 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 2, s: 1}. What is prob of sequence abb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17477 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1636, 1634, 1632, 1630?\nAnswer: 1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(2448) + sqrt(2448)) + 5*3*sqrt(2448) + sqrt(2448) + -2*(-2 + sqrt(204)\/(sqrt(192)*-1)))**2.\nAnswer: 5290*sqrt(17) + 4757697\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*x - 5*x + 4*x)*(3*x - 3*x - x).\nAnswer: 129*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 + 3 = 0. Sort x, -3, -1.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p + 11*p + 5*p. Let u(j) = -4*j**2. Determine u(n(q)).\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/18))\/(w**4*w)*(w\/(w\/w**(-2\/29)))\/(w*w\/((w**(-3\/7)*w)\/w)))**45 assuming w is positive.\nAnswer: w**(-119725\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4920 (b) -2\/61 (c) -5 (d) 0.045 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*u**3 - 7370442*u**2 - 4655232*u - 735048 = 0.\nAnswer: -6\/19, 10209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -46, -50, -52, -52, -50?\n\"Answer: p**2 - 9*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-58)\/(-12) - 87\/(-116) and 27\/386.\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5612 = -4*g + 8*g. Let o = 21058\/15 + g. Is 2 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 28 + 54*b**2 - 3*b + 44*b + 632*b**3 + 14*b - 634*b**3. Determine c(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Suppose -j*g + 5*g = 6. Suppose g*x = -10 + 49. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 311487 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-10))\/(1\/(-5)). Let t = 13 + k. Let g(y) = y**3 - 5*y**2 + 6*y + 1. What is the remainder when g(5) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 5:29 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.06604\nAnswer: 0.019812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1812 + -1813. Let f be (-7)\/(-6)*1\/((-21)\/(-4)). Let z be (-3)\/3 - (-3)\/4. What is the closest to a in f, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1149*x + 2. Is p(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 minus 973381.9?\nAnswer: -973381.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-3 + 0 + 1)*(1196 - 1196 + 155*m).\nAnswer: -310*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3777 is divided by 181.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.659 and -0.2.\nAnswer: 0.9318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 + 2*r + 3. Give w(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*b - 3*b + 76, 3*b - 4*l - 88 = 0. Let z = -6 - -8. Suppose 5*y - 33 = o, y - 6*y + 24 = z*o. Calculate the highest common divisor of y and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6288 and 553344?\nAnswer: 553344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31003 (base 4) to base 8.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-8)\/(96\/60)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 29*s**4\/6 + 5*s**3\/6 - 9*s**2\/2 + 23*s. Is b(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 98 + 266. Let n(f) = f**2 - 3*f - 2. Let x be n(-2). What is the highest common divisor of x and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcwc. What is prob of picking 1 c and 1 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 115835, 231672, 347509?\n\"Answer: 115837*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 4*r + 17*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/20 + 19\/20. What is the third biggest value in 1, -4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*x + 60*x - 1666 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4097 + 7547. Calculate the greatest common factor of 650 and v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 512*u**2 + 10891*u**3 - 4141*u - 21792*u**3 + 10897*u**3 wrt u?\nAnswer: -24*u + 1024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125\/3 - 42. Let p = 2033\/12 + -203\/12. Let k = p + -154. Which is the biggest value? (a) 18 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39b71 (base 16) in base 13?\nAnswer: -837a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 1\/2. Let s be 2\/(1\/((-6)\/(-4))). Let t = -104 + 726\/7. Which is the nearest to t? (a) -2\/5 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 262*m + 262*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m + 10. Let x be n(2). Let h(t) = 2*t**2 - 2*t + 3. Let l be h(2). Suppose 3*w - 19 = -4. Solve l - 32 = w*k, -4*i = 2*k + x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1793431 (base 10) to base 12\nAnswer: 725a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2457 + 4913\/2. Which is the nearest to 0.1? (a) -1\/29 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/101465648 and -9\/177564884.\nAnswer: 710259536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 4\/17 (c) 0.01 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1686 divided by -15.\nAnswer: -562\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 times -35\nAnswer: -171.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 990 (b) 5 (c) 0.5 (d) -0.6 (e) 6 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82935877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 249, 315, 395, 483, 573?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 118*i**2 + 4448*i + 11131. Determine d(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2) + 25\/35*-7. What is the smallest value in b, -7\/5, -3, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6336)*-1*-3)\/(-1*((sqrt(12)\/sqrt(3) - sqrt(4)) + sqrt(4))*5) + 0.\nAnswer: -36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 2323.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1105320 and 3665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 4, k: 2, b: 3, x: 8}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150 + 347 + 1099 + 520)*(-8 + 1 + 1)*(2 - 2 + 3*g).\nAnswer: -32688*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4790*j - 4788*j - 4*x - 12, -4*x = 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - f + (0 + 4 - 3)*(3 + 2*f - 3) - 4*f + 5*f - 5*f - 4 + 4 - 2*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1313 (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -99 - 20. Let r(d) = d**3 - 1. Let m be r(0). Calculate the remainder when l is divided by (4\/5 - m)*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443873004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 576 = 7*c. Suppose -r = -d + 280, -4*d - 6*r + 4*r + 1126 = 0. Let i = c + d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/30 + x**5\/6 + 5*x**2. Find the third derivative of l(j) wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**0\/n))**(10\/9)\/(n*n*n*(n\/((n\/(n\/(n**(2\/5)*n*n))*n*n)\/n)*n)\/n*n*n)**(-6)*((n*n**1)**(1\/3))**(2\/195) assuming n is positive.\nAnswer: n**(2086\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 0.06 in descending order.\nAnswer: 0.4, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 480, 720?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, -11, -159, -449, -929, -1647, -2651, -3989?\nAnswer: -5709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.8 + -31. Let q = 0.2 + -0.8. Let w = q + 0.2. What is the smallest value in w, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c - 3. Suppose 3*f - 12 = 3. Let r(x) = 1 + 0 + x**2 + x + 1. What is f*r(j) + 4*s(j)?\nAnswer: j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 9*j + 8. Let w(l) = -l**2 + 4*l - 4. Give -4*b(v) - 9*w(v).\nAnswer: v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 56738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 134*y + 1132. Is 16 a factor of k(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46772?\nAnswer: 2, 11, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -345 + 4141\/12. Which is the nearest to 3\/11? (a) d (b) 1.6 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.94 bigger than -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 34989 - 6941. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-99))\/((-10)\/(-6)) - -1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 155.659.\nAnswer: 31.1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*r = 3 + 85, 0 = -3*b + 4*r + 122. Solve -b = -2*i - 28 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/((-1)\/2). Sort -2\/13, -10, r.\nAnswer: -10, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163523?\nAnswer: 17, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**6\/120 - m**4\/6 + 13*m**3\/3 - 31*m**2. Let q be j(0). Let t(c) = -c**2 + 29*c + 69. What are the prime factors of t(q)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**6\/21 + 32*r**5\/7 + 1280*r**4\/7 + 81920*r**3\/21 + 327680*r**2\/7 + 2097152*r\/7 + 27. Solve u(i) = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -30. Suppose -z*c = -9*c - 792. Does 20 divide (-6)\/(-2) + (-5 - (6 + c))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 4, -37*n = -34*n + 5*p - 34 + 86 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 - -11 - (-139 + 195)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44622)\/1776 + 3\/24?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-3))\/2*(-4)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - l)*(-2*l - 152 + 152)*(16*l - 16*l - 12*l**2 + 1).\nAnswer: -24*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-77)*(-91)\/39*(-36)\/8.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -k + 2*r, -97 + 95 = -3*k + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289117869 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 18 = 2*p, 2*a - 5*a = -15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 4*n**2 - 3*n + 5. Let q be (-3)\/2*(-60)\/9. Suppose -3*w = -6*w - 18. Let b = w + q. What is c(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k - 8*k + 30*k - 10*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 541830 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1778 + 1841. Calculate the remainder when x is divided by -4*36\/(-8) - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n + 10*n + n + (n + 0*n + n)*(1 - 3 + 1) - 2*n + n + 0*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j + 11. Let q(f) = 7*f + 23. Determine -2*q(a) + 5*z(a).\nAnswer: a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**3\/3 - u + 2. Let d(j) = 11*j**2. Determine d(c(g)).\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**6 - 4*g**6 + 14*g**2 - 5*g**6 wrt g?\nAnswer: -1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 1, b: 1, j: 1, p: 1, q: 1}. What is prob of sequence gbn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -43*q**4\/8 - q**2 - 261*q. Let t(d) = -3*d. Calculate t(s(c)).\nAnswer: 387*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1140\/(-27) + (-4)\/(-18). Let m be (-12)\/42 - 40\/f. What is the second biggest value in -1\/3, m, -3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13*j - 8 = -14*j, 12 = 3*p - 13*j. Solve 4*v + 16 = -p*f, -20 = 5*f + 3*v + v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 459 - 89 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = -2. Let f be u\/(-6) + (-16)\/(-12). Solve -2*t + 1 + f = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(20\/32)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/(-3) + (13 - 3). What is the closest to 1 in z, -6, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (786 - 786 - 16*k)*(-4*k + 1 - 1 + (0*k + k - 2*k)*(1 + 4 - 3)).\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -262*f**3*h - 257*f**3 wrt h?\nAnswer: -262*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2402233 (base 6) to base 7\nAnswer: -1030155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*a**6*n**2 - 81*a**4*n**2 - 8*a**2*n**2 + 86*a*n**2 wrt a?\nAnswer: 1800*a**3*n**2 - 1944*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9582*c + 10955. Let u(d) = 3203*d + 3652. Let i(k) = -3*h(k) + 10*u(k). Find the first derivative of i(r) wrt r.\nAnswer: 3284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15223825?\nAnswer: 5, 608953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w + 250 = -43 - 59 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -124, -206, -306, -430, -584, -774?\n\"Answer: -b**3 - 63*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and -638646.\nAnswer: -1213427.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -3*y + 5*h - 17, 3*y + 7 = 4*h. Let k(l) = l**2 + 8*l + 10. Let x be k(y). List the prime factors of (-3)\/x + (-1404)\/(-60).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 1, g: 1, v: 2, f: 1}. Give prob of sequence vfj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -22.711. Round y to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3539?\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 42. Sort -4, 4\/11, m, -1 in increasing order.\nAnswer: -4, m, -1, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, t: 2, s: 6}. What is prob of picking 1 t and 2 r?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5119, -10291, -15463, -20635?\nAnswer: -25807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*q - 13 = -2*q, 5*k - 35 = 5*q. Suppose 4*g = 5*p + 32, -2*g + k = -0*p + p. Factor -5*r**2 - 35\/2*r**g + 0*r + 0 - 25\/2*r**4.\nAnswer: -5*r**2*(r + 1)*(5*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 9. Let i(m) = -y*m + 21*m - 4*m - 9*m. Let v(d) = -13*d**2. What is v(i(q))?\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -29. Suppose 5*x = -y - 2*y - 13, -5*y - x + 15 = 0. Let q = n - y. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q**2 - 32*q**2 + 207*q**2 - 10*q**2.\nAnswer: 235*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.4 take away -0.1?\nAnswer: 458.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 272051123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -4*d + 3*a + 42, -d + 32 = 2*a. Suppose -32 = u - d. What is the remainder when 32 is divided by -2 + (92\/8 + 0)*u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -3*q**5\/25 - 3*q**4\/20 + q**3\/5 + 3*q**2\/10 - 8. Factor i(u).\nAnswer: -3*u*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3218425*s + 495550. Let j(n) = 1325*n - 204. Let h(p) = -14575*j(p) - 6*q(p). Let v(u) = -9*u. Calculate v(h(t)).\nAnswer: 11925*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.00962, 0.0533 in descending order.\nAnswer: 0.0533, 0.00962, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, 4, 0, -4, 88, -5 in descending order.\nAnswer: 88, 4, 0, -4, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 5521253?\nAnswer: -5521254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547344 divided by 8688.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000199897507 to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6121, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011962569 to 7 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 558, 1623, 3644, 6939?\nAnswer: 11826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -21, -4, 785\/2, -0.01.\nAnswer: -21, -4, -0.01, 1\/4, 785\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56, -86, -142, -230, -356, -526, -746?\n\"Answer: -r**3 - 7*r**2 - 2*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(99) - (sqrt(99) - (-4*(sqrt(99) + sqrt(99)*2) - sqrt(99))) - (-2*(sqrt(99) + 2*sqrt(99)) + sqrt(99)))\/(sqrt(81)*1 + -6*sqrt(45)\/sqrt(5)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -908 - -516. Let m = a - -391.96635. What is m rounded to 3 decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) -5 (c) -2\/63 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g**4 + 0*g**3 + 13*g**2 + 0 - 1\/60*g**5 + 0*g. Let l(a) = -86*a. Calculate x(l(r)).\nAnswer: -7396*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4140004.\nAnswer: 2, 11, 37, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -30, -58, -90?\n\"Answer: -2*t**2 - 18*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4\/7, 912, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -7. Let y be (x - 2\/(-1)) + 9. Suppose -2 = -d + 3*q + y, 0 = 2*d - q - 30. Solve -5*i - 22 = 4*f, -5*f - 2*i - d = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 32.982. Let y = q - 81.982. Let j = 77 + y. Sort 3\/8, j, -3, -0.4 in increasing order.\nAnswer: j, -3, -0.4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258644050 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 13*l**2 + 41*l + 28. Let z be i(-8). Solve -5*m + 25 = 5*a, 2*a - 5*a = -4*m + z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-405)\/(-105) + -3 + -1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2173, 2269, 2351, 2419, 2473, 2513?\nAnswer: 2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 36 = -20*a + 9*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + 2*q)*(-5 + 5 - 7*q)*(0*q**2 + q**2 + 11*q**3 - 16*q**3).\nAnswer: 70*q**5 - 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645816518 = -57*f - 498920182. What is f rounded to the nearest one hundred thousand?\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 24*o - 2574. Let h = -75 + 84. What is the highest common factor of h and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l**3 + 24*l**3 + 51*l**3)*(-l + 1 - 1)*(-5 + 2 + 1).\nAnswer: 132*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -5*i + 0*i**3 - 1\/36*i**4 - 1\/60*i**5 + 0*i**2 + 0. Find x, given that n(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*p**3 - 133*p - 29*p**3 - 2*p**2 + 133*p to the form s*p**3 + a*p**2 + g*p + b and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {x: 1, o: 5, u: 2, d: 1, y: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}