diff --git "a/data/dm_maths/full_data_1/10148_11255.jsonl" "b/data/dm_maths/full_data_1/10148_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10148_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 1680695 is divided by 102.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 19. Determine i(-23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 4*b**2 - 6*b - 7. Let u(q) = q**2 + q + 1. Let m(v) = t(v) + 5*u(v). Let d be m(0). Let l(z) = z**2 + 4*z + 3. What is l(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*j - 11 = 7*j, 2*p = j + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.249 - -0.6\nAnswer: 0.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 9*t**2 + 23*t + 22. What is z(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*p + 25*p + 264. Suppose 9*w = 6*w + p. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s**2 + 171293*s - 14040 = 0. What is s?\nAnswer: 5\/61, 2808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 394*c**6 - 3*c**3 + c**2 + 448?\nAnswer: 47280*c**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/((-147)\/(-140)*22\/(-77))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 37 = 4*h + 3*f, f + 53 = 5*h. Suppose -h = 7*r - 9*r. Suppose 0 = 2*u - 6, -3*p + r*p + 3*u - 33 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -59 (b) -66 (c) -5 (d) -479 (e) -3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**6\/60 + l**2\/2 + 4. Let b(x) be the second derivative of f(x). Factor b(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - -67) + 8\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*(-8*k**2 + 93697 - 93693 + 20*k**2 + 13*k).\nAnswer: -36*k**2 - 39*k - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 30 = -5*b, l + b = 2 + 14 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/9)*(n\/(n*n*n\/n**5*n))\/n assuming n is positive.\nAnswer: n**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/30 and 113\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**2 - 8*j - 30. Let z(c) = -9*c**2 - 7*c - 31. Let b(x) = -5*w(x) + 6*z(x). Find the second derivative of b(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 10*w - 10. Let f(a) = a**2 + 6*a - 8. Let x be f(-8). Let d be t(x). Suppose -2*q + d*q = 12. Let r(u) = u**3 - 4*u**2 + 3*u + 4. Give r(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 16*f + 110 + 64 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.13, -2 in descending order.\nAnswer: 0.13, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 477*y + 27799. Give j(68).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -863?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 2*a**2 - 4*a**2 + (-4 + 4 + a)*(-1 - 2*a + 1) + 326*a - 14 - 653*a + 329*a - 79*a**2 + 2*a**2 - 3*a**2 + 2*a**2.\nAnswer: -81*a**2 + 2*a - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 + -6.83. Let k = q + 6. Which is the biggest value? (a) 2\/3 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2 + 29*h + 56*h + 35*h - 2723 - 120*h - 4984*h**3 wrt h?\nAnswer: -29904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 >= 228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -19, -1\/2, 39?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 - 303.27. Let i = z + 29.4. What is i rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2838\/13, 2, 0.1, 1\/6, -1\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 320*z**2 + 6000*z + 4. Determine r(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w. Let i(q) = -5*q. Let b(u) = 6*u. Let o(v) = v**2 - 3*v - 2. Let d be o(3). Let g(h) = d*b(h) - 3*i(h). What is g(k(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1526*j**2 + 11*j - 17. Let k(d) = 508*d**2 - 4*d + 6. Let u(q) = 11*k(q) + 4*r(q). Let z(o) = o**2. Determine z(u(l)).\nAnswer: 266256*l**4 + 2064*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2809 + -2805. Which is the third biggest value? (a) 1\/9 (b) g (c) 0.05 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585732803, 585732804, 585732805?\nAnswer: 585732806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/(2\/(-6)). Suppose 16 = b - 0*p + 2*p, -20 = -b + r*p. Suppose -371*t + 356*t = -405. What is the greatest common factor of b and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1312*t = -1297*t - 14685. Calculate the highest common divisor of t and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by -2\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 859 - 821. Suppose -z = -4*r - 212. Suppose 4*q + 2*o = -15 + 73, 2*q - 34 = 4*o. What is the remainder when r is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -50, 4 in ascending order.\nAnswer: -50, -0.16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 3*b**2 - 3*b + 1. Suppose -2*w + 18 = -4*l, 3 + 0 = w. Let k be g(l). Suppose y = -3 + k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 607825, 1215650, 1823477, 2431306, 3039137, 3646970, 4254805?\nAnswer: 4862642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 141.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 34. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*r - 4 - 1 = 0, -2*i = 3*r + 7. Let w be ((-42)\/(-12))\/(i\/(-4)) + -5. Solve -a - 4 = w*n + 3, -3*n - 3*a - 15 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145912, 145953, 145994?\nAnswer: 146035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:33 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 598, 81, -632, -1535, -2622, -3887, -5324?\nAnswer: -6927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o. Let c(a) be the first derivative of -a**2\/2 + 6*a - 2. Calculate c(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, 10\/3, 3, 0, -46?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w + 11. Let r be c(4). Put 4, -5, r in descending order.\nAnswer: 4, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/109120 and 133\/14570.\nAnswer: 5128640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**8\/1176 - s**7\/735 + 33*s**2. Let b(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132405986 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-171)\/(-76)*8\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.3 (c) -3\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4*z + 7*z)*(-z + z - 6*z**2)*(19 - 10*z**2 - 19).\nAnswer: 240*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/12)\/((-1)\/(-15)). Let i be k*5\/((-50)\/6). Suppose -2 - 79 = -i*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.1 - 9.1. Which is the closest to -1.3? (a) 2\/3 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 16. Let i be (2384\/(-32) + (-3)\/6)*-1. What is the highest common divisor of i and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 64?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -343.09 + 343.042. Put 1, q, -1\/4, -5 in descending order.\nAnswer: 1, q, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**4 - 5792*t**3 + 3*t**2 + 359687*t + 3 wrt t?\nAnswer: -48*t**2 - 34752*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6)*(-6)\/4. Suppose -4*b - v*k + 30 = 3*k, -4*b + 12 = -4*k. Suppose -2*g + b*g = -3. Put g, 4, 1 in decreasing order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 442 + -441.6. Put 0.2, -153, s in increasing order.\nAnswer: -153, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2886)\/(-42) - 2\/(-7). Suppose n = 3*c + 2*y, 0*y = 4*c + 5*y - 92. Suppose -k = -c - 3. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1094 - 597. What are the prime factors of n?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69650 and 240?\nAnswer: 1671600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + w + 2. Let x be r(-3). Let n = -296 - -244. Let l = x - n. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-five quarters of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5283781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/24242*-23)\/((-1)\/(-2))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*f - 38 = 0, 3*f - 168 = -162 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + ((sqrt(75) - (sqrt(75) + sqrt(75)*-2)) + -2 + 6*-2*sqrt(75) - (3 + 2 + sqrt(75) + -5))**2).\nAnswer: -9078 - 220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 20. What is the smallest value in -0.08, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(396)*3)**2).\nAnswer: -17825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:00 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -987512 by 4.\nAnswer: -246878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 16*i + i + 13 - 7 + 16*i.\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -185860.3 + 187275.403. Let b = y - 1413. Round b to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(7638\/335)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzzpvpkzkppkzz. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-6\/7)*i)\/(i**(-17)\/i))\/(i**22*i*i*i*i*i**(4\/5)) assuming i is positive.\nAnswer: i**(-208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n - 2*w + 14, 2*w - 8 = 0. Let h(f) = 0*f - 3*f - 4*f + 12 + 6*f. Let i be h(0). Solve -3*c + i = -n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -11747000 to the nearest 100000.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/(((-18)\/8)\/(27\/(-828))))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 20, -2*c + 2 = 2*a - 3*a. Solve f = -3*q + c, 3*q + 9 = -4*f + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -600, -1131, -1672, -2229, -2808, -3415, -4056, -4737?\n\"Answer: -w**3 + w**2 - 527*w - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/29)*b*b\/(b\/(b**(3\/7)*b)*b)*(b\/(b\/b**(-9)))**(31\/3) assuming b is positive.\nAnswer: b**(-18568\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20677578?\nAnswer: 2, 3, 211, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(0 + 0 - 2) + 4 - 1 - 2 - 2 - 1 + 4 - 3 + 4 - 18)*(-2*g + 2*g - 2*g**3).\nAnswer: 38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 - 9*t - 4. Let n be w(-5). Let a = n - -49. Let x = 257 + -252. Solve -5*m - 5*q - 25 = 0, -3*m + a = 2*m - x*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1700022 + 0.17. What is r rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000078024 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 4:59 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 291 = -2*c - 241, 8*c - 4*w - 128 = 0. Calculate the remainder when 4502 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151679 (base 13) to base 5.\nAnswer: -113024114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35775112 is divided by 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2086981 at most as big as -10434907\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3202 + 0*b + 3349 - 9*b. What is v(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let h(j) = 9*j**2 - 22*j. Calculate h(l(o)).\nAnswer: 9*o**2 - 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1197951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3360, -5935, -7722, -8721, -8932, -8355?\n\"Answer: 394*l**2 - 3757*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071 is divided by 89.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/6 - b**3\/6 - 2*b**2 - 26*b - 193. Let x = 10 + -4. Let q(g) = -2*g**2 + 2*g + 5. What is x*p(t) + 5*q(t)?\nAnswer: 2*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 226 = 775. What are the prime factors of b?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19830 and 10410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/(w*w\/(w*w**(-1\/3))))\/w)\/(w**3*w))**(-3\/13))**6 assuming w is positive.\nAnswer: w**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 10*h + 0*h**2 + 4*h**2 - 21*h + (2*h + 0*h + 0*h)*(4*h - 1 + 1) to the form r*h + v*h**2 + z and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - 40\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/12)\/(-8) + (-11)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y. Suppose 5*d + 252 = k, d = -y*d - 5*k - 40. Let t be 1\/(d\/(-48) - 1). What is the highest common divisor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -378.9724 + -0.0276. Let q = v + 380. Which is the closest to q? (a) 1\/2 (b) -5 (c) -0.4 (d) 1\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46985.\nAnswer: 5, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607758 is divided by 607697.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let r = k - -1. What is the third derivative of 2*j**3 - j**2 + j**2 - r*j**2 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-1 - (2 + 0)). Let o be 178 - (-6)\/3 - (0 + f). Find the common denominator of -47\/20 and (6\/(-8))\/((-30)\/o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 5*r**2 - 315*r - 1525. What is s(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoy when three letters picked without replacement from {z: 2, o: 2, v: 3, y: 3, a: 1, c: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13555 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5 - 186*t**4 - 14661*t**3 + 471972*t**2 - 427092*t - 913536 = 0.\nAnswer: -61, -1, 2, 26, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 3. Let u be o(17). Let p be u\/21*3\/(-2). Sort p, 8, 5 in increasing order.\nAnswer: p, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (-29 + (4 + -27 - -57))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23256 divided by 36\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4079932.\nAnswer: 2, 17, 59999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 6:26 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b - 812. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (25 + (-225)\/9)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11443396 is divided by 476808.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxxrzxxrrzvxkxx. Give prob of picking 1 r, 1 k, and 1 z.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e1f10 + 48?\nAnswer: -e1ec8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 60*n**2 - 26819*n - 386. Give g(447).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 + 0 = 2*y, 0 = -3*y - 4*s - 14. Calculate the remainder when 110 is divided by (y - 0)*-57*(-1)\/(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238547256 divided by -8434\nAnswer: -28284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9570352 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/2 + 120007*v**4\/6 + 199986661*v**3 - 733520011*v**2 + 2000720063*v\/6 + 400120009\/2 = 0. Calculate v.\nAnswer: -20003, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 5\/24*c**4 + 1\/8*c**5 + 1\/168*c**7 + 3*c + 0 + 5\/24*c**3 + 1\/24*c**6 + 1\/8*c**2. Let u(b) = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-24)*54\/(-498). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*t**2 + 2112*t - 3072.\nAnswer: -3*(11*t - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573842 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: Let z be 4 - -1 - (1 + -3). Let l be -2 + (z - -3 - 4). Let i(j) = j**3 - 3*j**2 + 3*j - 5. List the prime factors of i(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.034 + -0.034. Let d = -1494618187 + 1494618136.99999715. Let n = i + d. Round n to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 smaller than 904404.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92011, 367866, 827617, 1471258, 2298783, 3310186, 4505461, 5884602?\n\"Answer: -s**3 + 91954*s**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -526\/5. Factor -2\/5*c**4 + 0 - 6\/5*c**3 - o*c**2 - 2\/5*c.\nAnswer: -2*c*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 10. Let w(x) = 40 - 24*x**3 + 23*x**3 + 4*x**2 - 30. Determine -3*c(v) - 2*w(v).\nAnswer: 2*v**3 + v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**3 - 3*k**2 + 8*k - 4. Let r be l(4). Let x = r - 177. Is x 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 5:32 AM and 4:34 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -388*t + 4269. Let o be j(11). Solve -244*c = -243*c - o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 87153 = 4*y. Let o = -153153 - y. Round o to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.4 (b) 4 (c) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/659 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1044 and 4698.\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819628.\nAnswer: 2, 3, 7, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 139106\nAnswer: -139105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/360 - t**5\/60 - 5*t**4\/24 - 101*t**3\/2 + 3*t**2 + 90*t. Let a(r) be the first derivative of w(r). Determine a(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 - 87*l - 30. Give r(-16).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 717847 - 717806. Suppose 5*f - a - 22 = 0, 2*f - 13 = -3*a + 2*a. What is the remainder when u is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180868, 361720, 542570, 723418, 904264?\nAnswer: 1085108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*((-16)\/(-6))\/4. Let a = 15 + z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*6\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 - 121. Let b be 12\/(-24)*8\/(-2). Suppose -2*c = b*d - 10, -c + 35 = 5*d + 2*c. What is the greatest common factor of f and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(2 + (-5)\/2). Let q = 0.06 + -0.06. Let o = 18.5 + -18. What is the second smallest value in l, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 - 35a309?\nAnswer: -35a278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 57*h**2 - 2*h - 7. Let y be s(-5). Let o = y + -419. Suppose -5*c - 5*z = o - 2934, 5*c = 5*z + 1875. What is c rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 311174\/36 - 3\/(-27). Let z = u - 8663. What is the common denominator of 65\/8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (-4 - -3) - -3. Suppose -r + 1 = 2*h - 3, 0 = 3*r + y. Suppose 0 = 4*n - h*l + 6*l - 10, l = n - 1. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*l - 2 = 0, -2*l = -0*u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(24)\/sqrt(8) + (sqrt(75)*2 - sqrt(3)) + (-1 + sqrt(648)\/sqrt(6)*-4)**2 + -1.\nAnswer: 58*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011185161 to seven dps.\nAnswer: -0.0011185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/(1\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 3664226*q**2\/7 + 21985302*q\/7 - 32977926\/7.\nAnswer: 2*(q - 1832107)*(q - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10251*b + 51813*b + 25471*b.\nAnswer: 67033*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3998.\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b - 51. Let d be j(-5). Suppose -6 = 3*o, t - 2*o - d = -5. Let q(k) = k**2 - 3*k + 1. Let s be q(2). Put -4, t, s in increasing order.\nAnswer: -4, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438.9 - -480. Let b = 41 - u. What is b rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -277.77 + 277.97. What is the nearest to 2\/5 in -5, 2, -0.145, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39888 and 142932.\nAnswer: 1715184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2 + -1)*(-23)\/(-46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(52) - sqrt(52) - sqrt(52)) + 3)**2.\nAnswer: -20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/12)\/(6\/(-99)) - 1. Suppose 59 - 19 = h*j. Sort -3, j, 5, -12 in increasing order.\nAnswer: -12, -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/253982401?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100.015 + -0.015. Let l = -0.964470793 - -100.964476693. Let k = m - l. Round k to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 15*m**2 - 9*m - 4. Let t be -3 - -4 - 3*-2. Let b(u) = -12 - 5 - 4*u + t*u**2 + 15. Determine 13*b(v) - 6*y(v).\nAnswer: v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158 by 6.\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 7)*(366*m + 446*m - 119*m)*(-8 + 8 - 18*m**2) to y*m + q + f*m**2 + c*m**3 and give c.\nAnswer: -24948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l + 1. Let y be n(7). Let b = 29 - 9. Calculate the highest common factor of b and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 20. Let o = 1 + w. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -980, -976, -972, -968, -964, -960?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.099 + -0.099. Which is the biggest value? (a) -4\/39 (b) -2 (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(300) + 3)*4 + sqrt(300)*1 + 4)**2 + -2.\nAnswer: 1900*sqrt(3) + 7859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 416.022?\nAnswer: 417.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 - 2308*o**3 + 31392842*o**2\/7 + 712133400*o + 190406205000\/7.\nAnswer: 2*(o - 4114)**2*(o + 75)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + ((-1*sqrt(76) - sqrt(76)) + sqrt(76) - sqrt(76) - sqrt(76))))*-3)\/(sqrt(256)*-1 - sqrt(256)) + 3.\nAnswer: 9*sqrt(19)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.5 + 36. Let d = h - -3.5. Let z be 40\/(-12) + 2\/6. Which is the third smallest value? (a) d (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -24 + 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 + 10)\/((-4)\/2). Solve -k + u*k = -3*f + 9, 2*f = 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 4*d, -3*x + 20 = 4*d + 2*x. What is the first derivative of -1 + g**4 - 1 + g**4 + d*g**4 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 9*q**2 - q - 12. Let x be h(-9). Let i be -3 - (22\/(-33) - (-277)\/x). Let w = 90 - i. Solve -3*o - o + 20 = w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211406 + 845577\/4. Let q = 109487 - 1205810\/11. Let k = q + 132. Calculate the common denominator of u and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2341.8 - 0.0075538\nAnswer: 2341.7924462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 + 1428*d**2 + 2 + 0*d**3 + 1436*d**2 + d**3 - 20*d - 2872*d**2. Give w(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by -84*(-20)\/15 - (0 + -3)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2008 and 41\/31832.\nAnswer: 7989832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 797439974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {p: 2, c: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in 7993, -0.5, -3\/2, -0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -69, -126, -207, -312, -441, -594?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -639 or -178?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21755652?\nAnswer: 2, 3, 53, 79, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 - -66.7. What is the third smallest value in h, 2.5, -2\/5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.027 - 10.027. Let g = q - -5. Sort 1, 6\/11, g.\nAnswer: g, 6\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -348 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**4\/3 - 5*o**3\/6 + 72*o**2. Let u(r) = -r + 1. Calculate -2*h(a) - 10*u(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8106947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32890 (base 10) to base 14.\nAnswer: -bdb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*f*k**3*p**3 - f*k**2 + 11*f*k*p**2 - k**3*p**2 - 73*k**3 - 2*k**2*p + 2*k**2 wrt p?\nAnswer: -90*f*k**3*p + 22*f*k - 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1) + -3 + 2. Suppose 0*p - 2*p - 4*s = -24, s - 4 = v. Calculate the highest common factor of 28 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*y = 94 - 274, -3*p + 106 = -5*y. Calculate the remainder when p is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**6\/72 - 4*y**5\/45 - y**4\/18 - 2*y**3\/3 + y**2\/2 - 81. Let r(v) be the third derivative of f(v). Factor r(n).\nAnswer: -(n + 2)*(15*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 37 - 40. Let s(r) = -r**3 + 11*r**2 + 24*r + 16. Let p be s(q). Suppose p = 3*o - 68. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 133?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 4760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -129*w**2 - 7*w + 9. Let g(d) = -65*d**2 - 3*d + 4. What is -4*b(u) + 9*g(u)?\nAnswer: -69*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2344, 2330, 2316, 2308, 2312?\n\"Answer: k**3 - 6*k**2 - 3*k + 2352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 379, 407, 473, 595, 791?\n\"Answer: 3*t**3 + t**2 + 4*t + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -438.688 times 1.6?\nAnswer: -701.9008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718873?\nAnswer: 37, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1959*m + 1962*m - 4*c + 28, -c = -m - 10 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*p = 32, -4*q - 10 = 5*p - 3*p. Let f(y) = y**2 + 4*y - 4. What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 9*s**2 - s - 5. Let u be n(-9). Suppose -l + u*g = -3*l + 24, 36 = 5*l + 4*g. Suppose 2 = 2*w + i, i = 3*w + w + 2. Solve 3*o - l*o = w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 6. Suppose -360 = 2*c - 4*c. Let p be (-1)\/(3\/c*5). What is the tens digit of k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90343874 to the nearest integer?\nAnswer: 9505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*h + 2 = -9, 3*h = -3. Let u = -36 - -44. What is the smallest common multiple of u and 1 - d\/2*0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 3*p**3 + 6*p**3 + 0*p**2 + 5*p. Let y(v) be the first derivative of v**4 + v**3\/3 + v**2 + 4. Calculate 6*x(a) - 14*y(a).\nAnswer: -2*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 69*i - 771. Calculate s(-16).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b9 (base 12) to base 16\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432240130434 + 10?\nAnswer: -432240130424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1315*n + 18. Let l(b) = 1319*b + 21. Determine 6*l(f) - 7*o(f).\nAnswer: -1291*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**3\/3 + 845*x**2 + 315730*x\/3 + 104400 = 0.\nAnswer: -290, -216, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (-5 + (-25)\/(-5)). Solve -2 = z*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 803 and 1011123.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5509 + 129*b**5 - 2758 - 10*b**4 - 2751 - 3*b**5 - 3*b**5 + 0*b**5 + (-3*b**2 + 3*b**2 - 2*b**4)*(4*b - 3*b - 2*b).\nAnswer: 125*b**5 - 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -4.363.\nAnswer: -0.21815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (-5)\/(-2)*(-72)\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 4, 4\/81, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4839.066 litres in millilitres?\nAnswer: 4839066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1868 - -1868. What is the fourth biggest value in 0.02, v, -0.4, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46\/497 - 475445\/1988. Let r = m + 258. Calculate the common denominator of (-4030)\/(-104) + (-6)\/(-8) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.888 + 3624?\nAnswer: 3624.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*s - 11*s - 345 = -27*s. Find k, given that -5\/4 + 3\/4*k**5 - 27\/2*k**2 - 19\/2*k**s - 5\/4*k**4 - 29\/4*k = 0.\nAnswer: -1, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -235 + 231. Suppose -d - 8 = t, 3*t + 28 = -0*d - d. Sort t, -5, b.\nAnswer: t, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24402 + 24298. Which is the closest to r? (a) 0.5 (b) -1\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i - 4*p + 1, p - 1 = -2*i. Which is the third smallest value? (a) 0.5 (b) -8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 + 27 = 0. Let p(u) = 3*u**2 - 7*u - 4. Let d be p(k). What is the highest common divisor of d and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 1434*j + 167076.\nAnswer: -2*(j - 102)*(j + 819)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from gqqgqqg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112523 (base 7) to base 6.\nAnswer: -233152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1781.749 rounded to the nearest ten?\nAnswer: -1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-3)\/6 - (-6)\/4. Suppose -3*c + r = -34, o*c + r = -0*c + 16. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5352190 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(55) + sqrt(55) + sqrt(275)\/sqrt(5)) - sqrt(55))\/sqrt(5) - (1*sqrt(11) + sqrt(11) + -4))**2.\nAnswer: -40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996006887?\nAnswer: 2999, 332113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -27, -47, -87, -153, -251?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u**3 - 293*u**3 - 132*u**3.\nAnswer: -394*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.09 + -0.09. Let n = 7 + -5. Let h = n - l. Put 0.1, h, 2 in descending order.\nAnswer: 2, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -255*j - 5. Let y(k) = -74*k - 1. Calculate -4*m(s) + 15*y(s).\nAnswer: -90*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 605 = -1895. Suppose q = -4*h + 82. Let g(x) = 36*x**3 + x**2 - x - 1. Give g(h).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13a273 (base 12) to base 3\nAnswer: -121200212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 684. Let r be h(0). Let m(y) = r*y - 341*y - 344*y. Let d(f) = 14*f. Determine d(m(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.9492nm in meters?\nAnswer: 0.0000004159492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 10}. What is prob of picking 2 k?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -56. Suppose 5*k - x*k - 40 = 0. Suppose k = -10*o + 15*o. Solve -i = i - o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 57 + 43. Suppose -l - l = 3*n + 9, -2*l - 4 = 2*n. Put -5, l, r in descending order.\nAnswer: l, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p + 2. Let w be p\/(-4 + 293\/73). Let h = 112 + w. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 11 - 9 = 0. Suppose -q*c - 4*l + 15 = -c, -5*l - 6 = -c. Suppose 10 = -y + c. Solve -3*i + y + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -603 - -36181\/60. Let p(k) be the third derivative of 0*k**3 - 3*k**2 + 0*k + 0 + m*k**5 + 1\/8*k**4. Find the second derivative of p(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/((-33)\/198). Let w(f) = -4*f - 11. Let d be w(h). Put 0, d, -188 in ascending order.\nAnswer: -188, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5*m + 5*d**5 + 6*d**4 + 24*d*m + 4*d wrt d?\nAnswer: 60*d**3*m + 100*d**3 + 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5977 - -33 - 12)\/((-1)\/8).\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 2*l - 3*w, -5*w - 158 = 5*l - 8*l. What is the remainder when l is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**11\/o**6 assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 607142 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989638894.\nAnswer: 2, 23, 41, 43, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21300122 (base 4) to base 5\nAnswer: -2234322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*i + 42 = 3*h - 135*i, -60*h - 22*h + 5*i - 161 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4\/11, -4, -3, 0.03?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5774 or -624?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.023, 1.\nAnswer: 0, 0.023, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*r - 1, 1955*r - 1957*r = -22*q - 22 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -326*j**4 - 2*j**3 - 19*j - 219652 wrt j.\nAnswer: -1304*j**3 - 6*j**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:18 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 521568, 521569, 521570?\n\"Answer: y + 521567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2375952886 and -2.126.\nAnswer: -2375952888.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284538 greater than or equal to 3284538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -39*t - 1027. Let u(v) = -62*v - 1541. Determine 8*g(b) - 5*u(b).\nAnswer: -2*b - 511","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4446*-539 + -12 + (-6678)\/(-546)\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -13. Suppose -b*q + 367 = 3*a - 258, q - 153 = -4*a. Calculate the remainder when q is divided by (-2 - 4\/(-2)) + 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 5*x = 9099. Let j = x - -4355. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26834747?\nAnswer: 31, 865637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2538291 is divided by 310?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w = -5*p + 440, 113*w - 116*w = -4*p + 19 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -37*g**2 + 30*g - 7. Give n(2).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2286772 + 365*i**5 - 471*i + 2286772 wrt i?\nAnswer: 7300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*p - 3*p + q, p + 5*q + 12 = 0. Let a = 0.14 + -0.118. Let d = 0.022 - a. What is the nearest to 0.1 in 6, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966231 and 153370.\nAnswer: 9662310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 8:13 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.92 - -0.12. Let d = 0.3 + o. Which is the third biggest value? (a) 5 (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7\/3 (b) 2 (c) 0 (d) -3 (e) -2\/2951\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 5 = 13*z. Solve 3 = 2*c + z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/20)\/(4\/10). Let h be (180\/(-30))\/(t + 0). Suppose 4*p = -h*n - n + 104, 3*p = 6. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -867021917?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*l - 85*l = 91*l + 87820. What are the prime factors of l?\nAnswer: 2, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 5*q**4 + 26 + 0 + 0 + q**4 + (4*q**3 - 2*q**3 - 3*q**3)*(0*q - 3*q + 5*q) + q**4 - 4*q**4 + q**4.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.019 in 0.1, -17359, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36862 - 3870?\nAnswer: -41842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12228 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 750902.4 months in decades?\nAnswer: 6257.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3923 and 2145145?\nAnswer: 2141222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.95 - -5. Let t = 0.45 - i. What is the smallest value in t, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/373860 and 107\/124620?\nAnswer: 373860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380040*32.\nAnswer: 12161280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*p**2*r**3 - 69*p**2*r + 122*p*r**3 - 28*p*r - r wrt r?\nAnswer: -186*p**2*r + 732*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p - 7. What is the units digit of k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 2*k - 2*h, -4 - 5 = 5*k - 30*h - 0 + 1 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105972766.\nAnswer: 2, 19, 139, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-5))\/((-5)\/(-25)). Solve 4 = 3*u + 4*s, o*s - 10 = u + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/1 - (-44)\/(-11)*-53 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/36)\/(2 - 4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -1)*9\/18*0. Suppose u = j + 3*p - 60, -6*j + 4*p + 243 = -j. What is the remainder when j is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 501*w - 998. Let h be f(2). Let b(c) = 2*c**3 - 4*c + 2. Let j be 22\/8 - (-1)\/4. Let n(i) = -i**3 + 3*i - 2. What is h*n(g) + j*b(g)?\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 2*q**2 - 4*q + 2. Let n be l(-2). Solve 6*u - 2*c = u - n, -5*c + 25 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*x + 13822 + 1546 = 0 for x.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 9*g**2 - g + 12. Suppose -4*m - 3*z + 24 = 0, -38 - 23 = -5*m + 4*z. Let d be q(m). Solve d*v + 2*v + 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/774 and 45\/3784?\nAnswer: 34056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72040 + -72039.5. Let p = 45 - 227\/5. Which is the biggest value? (a) p (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 39*d - 392 = 73*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 6) to base 15\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -9*g**5\/20 - 13*g**4\/24 + g**3 - 13*g. Let o(w) be the second derivative of m(w). Is o(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361.7077 grams to micrograms.\nAnswer: 361707700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.2 + -44.5. Which is the nearest to -21? (a) -3 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**7\/5040 + w**6\/1080 + w**5\/240 + 7*w**3\/3 - 8*w**2. Let x(i) be the first derivative of u(i). Factor x(j).\nAnswer: -j*(j - 3)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 15521?\nAnswer: -15524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 217351 divided by 67\nAnswer: 217351\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14839 and 2526677.\nAnswer: 27793447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 759726.04 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**3*h*w**3 + a**3*w**3 + 9*a**3*w**2 + 538*a*h*w**3 + a*w**3 - 22*a wrt h?\nAnswer: -5*a**3*w**3 + 538*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1797*h + 1791*h - 2*q = 18, -3*h - 5*q = 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*v - 531 = 0, -21*v = -2*a - 20*v + 519. Let f(t) = 2*t**3 - 2*t**2 - 2*t - 1. Let h be f(3). Calculate the highest common factor of a and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 9*s**3 - 4 + 0 + 2*s + 2 + 14*s**2 - 11*s**2 to u*s + n + y*s**3 + a*s**4 + i*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78782 + 37710 + 36495)*(-1 - 3 + 1)*(-2*r + 3 - 3) as w*r + j and give w.\nAnswer: -27462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/165 - 942\/22. Which is smaller: -392\/9 or p?\nAnswer: -392\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.21 - 4.170614. What is j rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4 (c) 4 (d) -3 (e) -1829\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-21)*1715\/1274*(-1)\/5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 114\/(-3)*((-3)\/(-36)*-18)\/3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 3*i + 8. Let g be x(3). Let v be 4 - (-1 - g) - -1. What are the prime factors of (242\/v)\/((-32)\/64)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-14))\/((-1)\/(-2)). Suppose 0 = 2*n + 4, -n - 3*n - 20 = -3*h. Sort h, z, 5 in decreasing order.\nAnswer: 5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -5, -1\/10, 9\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/(p\/(p\/(p*p*((p**(-2\/3)*p*p)\/p)\/p))*p))**(-48) assuming p is positive.\nAnswer: p**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 31 = 35*h - 40*h, -4*p = -h - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 158555\/3014 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66, 72, 78, 84, 90?\n\"Answer: 6*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 11 = -l - 208, 0 = 4*p - 2*l - 154. Let n = 12 + p. Differentiate -n + 18 + 17 - 17*q**3 with respect to q.\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + d**2 - 2. Let j(v) = 8*v**3 - 9*v**2 + 99*v + 18. Calculate -2*j(w) - 18*t(w).\nAnswer: 2*w**3 - 198*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 6, -18 in increasing order.\nAnswer: -18, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 - -79. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, a: 1, b: 5, i: 4}. Give prob of picking 1 k, 1 a, 1 i, and 1 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3707.49953394 + -3707.5. Round c to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5661025.\nAnswer: 5, 127, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/541829 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52902132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 40 + 61. Calculate the common denominator of (-1245)\/6*2\/(-120) and 335\/105 - (-5 - w).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76395.055 rounded to the nearest one thousand?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-78) - (40\/(-60))\/(-9 + 7).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 0*k)*(-1 - 1 + 4) + 239*k + 735 - 735.\nAnswer: 237*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Suppose 14 = 3*g - 6*g - 5*s, -3 = u*s. Let j be (-5)\/g - 8\/(-24). Put 5, 3, j in increasing order.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + (9 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j. Let c(b) = 21*b + 34*b + 17*b - 91*b. What is c(r(q))?\nAnswer: 266*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4674684601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.02 - -0.02. Let p = -27 - q. Let r be (-3)\/(-15) - (-38)\/(-90). Put r, -3, p in descending order.\nAnswer: p, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*k + 15. Let c = k + 33. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**2 + r - 1. Let s be ((-18)\/(-21))\/((-1)\/(-7)). Suppose m = -k + 8, -2*k + m - 5 = -s. Is t(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12213 - 12213 - 36*l**3.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33356025083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43406 (base 7) to base 14.\nAnswer: 3d3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576045 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1143355298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -270720*y**3 - 2*y**2 - 3*y + 1798609 wrt y.\nAnswer: -812160*y**2 - 4*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6480)*2 + sqrt(6480))*-4)\/(-1*sqrt(441)*-5).\nAnswer: -144*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41454 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -970857 + 970856.400003. Let l = n + 0.6. Round l to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131221302 + 11110?\nAnswer: 2131233012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -4 + 4 + (28 - 17) + 6 + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 5*d - 99. Give u(6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 10787*b - 9838*b - 8539, 0 = -b - 4*o + 13 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 27. Determine l(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 455 + 0*z + 3*z - 98*z**2 - 383.\nAnswer: -98*z**2 + z + 72","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2 + 113*v + 114 = 0.\nAnswer: -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1170 + 1168. Put -2\/3, r, 0.35, -0.07 in ascending order.\nAnswer: r, -2\/3, -0.07, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let v = -79.7 - -75.7. What is the nearest to s in 3\/2, -3, v?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 14*q - 13*q - 2*q. Let k(g) = -g + g - 2*g. Determine z(k(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30267 (base 12) to base 3.\nAnswer: 10011211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96252*n - 83571 with respect to n.\nAnswer: 96252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {j: 4, b: 2, f: 2, x: 4, k: 1, n: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-3 + 1 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23490\/783*1*(-28)\/(-24)*-3?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:59 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56569.34 hours in nanoseconds?\nAnswer: 203649624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = 7*p, -2*p - 7 = i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*j**2 - 44*j**2 + 233*j**2.\nAnswer: 285*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:29 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3283555 to the power of 1\/2, to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442921328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 99080.787 to the nearest 1000.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -9.006095\nAnswer: -9.006095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 5 (c) -279 (d) 122 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (-5 - -2) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11937234 and 1416?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3 - 12429*b**2 - 14105448*b - 2487955920 = 0.\nAnswer: -1964, -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*d - 5*y, 2 = 2*d + y - 1. Let p be ((-162)\/63)\/9 + 33\/(-21). Sort d, -2, p in ascending order.\nAnswer: -2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 + 9011*m - 762. Determine p(-98).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.988 + -0.462. Let o = -32.452821 - x. Round o to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115695 divided by 64.\nAnswer: -115695\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -113, -268, -487, -770, -1117, -1528?\n\"Answer: -32*x**2 + 5*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (1 - 0)\/1. Suppose a = -3*k - 2 - 4, 0 = -3*i - k + 13. Suppose 4*j**4 - 4*j**2 + 5*j**2 - j + j**3 - i*j**4 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.1. Let d = 2.8 + 0.2. Let b = -2.01 - -0.01. Put n, d, b in decreasing order.\nAnswer: d, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.22675*-8.\nAnswer: 25.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.87 - -2.37. Let w = 2\/43 - -119\/215. Suppose -2*t = -11 + 3. Which is the second smallest value? (a) p (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 10*c - 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let j(y) be the third derivative of 7*y**4\/6 - y**3 + 2*y**2 - 149*y. Let m(k) = -27*k + 5. Let n(p) = -3*j(p) - 4*m(p). Give n(w(o)).\nAnswer: 48*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -833\/8 - -104. Put 1\/4, 3, z in decreasing order.\nAnswer: 3, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (5 - 1)\/1 + -1. Suppose -g + 5 = -p*g. Let q(f) = f**3 - 4*f**2 - 4*f + 3. What is the remainder when q(g) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68\/495 - 2\/45. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1949770 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 109*s**4 + 7*s**3 - 4*s**2 - 24*s - 4038. Let q(g) = 113*g**4 + 7*g**3 - 3*g**2 - 18*g - 4039. Let o(y) = 3*n(y) - 4*q(y). Differentiate o(l) wrt l.\nAnswer: -500*l**3 - 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11.9538 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(2\/(0 + -1)) + -1 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52834, -52864, -52880, -52876, -52846, -52784, -52684?\nAnswer: -52540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 3*o - 10*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.028 (b) 2\/3 (c) 35 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113 + 113 - 9*b + (-b - 2*b + 4*b)*(0 - 1 + 3))*(3*b - 5*b + 4*b) + b**2 - 3*b**2 + b**2.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17067 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 29*f - 42. Calculate x(-28).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (-40 - 7).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = -0*h + 5*h. What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 15921709?\nAnswer: 15921712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.64 and 0.0604.\nAnswer: -0.280256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -509193*i**3 - 468171*i wrt i.\nAnswer: -3055158*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(2*(-5)\/(-110)). Suppose 0*o + 66 = 3*o. Calculate the greatest common divisor of k and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241 and 1508178?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-13) - 1260\/2925\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0. Let p = 1.04208 - 1.14208. Sort -10, k, p, 0 in descending order.\nAnswer: k, 0, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 + -3.3. Let l = 61.48 - 1.98. Let g = l + -61. Is a at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*14\/(-21). Let n = t + 9. Find f, given that 6*f + 0 + 2 + 4*f**2 - n*f**3 - 6 + 2*f**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.4, -1\/6, 172\/11, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3515 and 2061.\nAnswer: 7244415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 8:15 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 532\/22 - 4\/22. Which is smaller: m or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j. Let s(h) = -69035*h. What is t(s(d))?\nAnswer: 1380700*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**3*v**3 + 476868*u**3 - u**2*v + 42834*u*v**3 + 3*u wrt u?\nAnswer: -6*v**3 + 2861208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-11)\/c**(-18) assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 39106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 0*i - 2*i + 3. Suppose 5*r - 15 + 0 = 0. What is v(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54766 + 3.\nAnswer: 54769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 846086591 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.052? (a) 0.1 (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/18)\/(7\/2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.01, -540.9, -0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/20 + 255636\/360. Let b = -614 + h. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2853*u + 2853. Let m be c(1). Solve n = -2*f - 8, 2*f - 2*n - 25 + 39 = m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -517*d**3 - 5*d - 2. Let i be ((-2)\/(-4))\/(4\/(-8)). Let g(n) = -n**3 + n + 1. Let c(b) = i*u(b) - 3*g(b). Is c(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48699854*k**3 + 868310446*k.\nAnswer: 292199124*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**3 + 13*s**3 - 5*s**3)*(-2*s + 0 + 0) - s**4 + 2*s**4 + 3*s**4 to the form t*s**4 + m*s**2 + v*s + a*s**3 + h and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2137.1959 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2024*o - 2276. Let n(t) = -10122*t - 11381. Let c(d) = -3*n(d) + 16*y(d). Differentiate c(v) with respect to v.\nAnswer: -2018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(88\/(-413)))\/(168\/96).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(3\/7)*a*a\/a**(3\/8))\/(a**4*a**(13\/3)*a))**(6\/7))**(-31) assuming a is positive.\nAnswer: a**(37913\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 44. Let o = w - 7. Do 1\/6 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17*w**3 + 3*w**2 - 5. Let v be s(-2). What is the greatest common divisor of 299 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135104 + -225?\nAnswer: 134435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15293706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724172*h**2 + 724228*h**2 - 2172464*h**2 + 724148*h**2 - 2.\nAnswer: 84*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*-6*28\/(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/15070 and -66\/110285.\nAnswer: 2426270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/2)\/((-77)\/151382) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/6)\/(97\/388).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*l**6*o + 408*l**4*o**3 - 5731*l**2*o**2 - 2*o**3 wrt l?\nAnswer: -960*l**3*o + 9792*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 10*j. Let u be k(-10). Solve -3*g - g + 16 = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 20*l**2 + 32. Let o(v) = 6*v + 11*v - 11*v - 3*v. Calculate o(g(p)).\nAnswer: 120*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 9*g**2 + 3*g**2 + 3*g**2 + 10*g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(448) - sqrt(28)))\/(sqrt(4) + (sqrt(12)*-2)\/sqrt(3)).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*s - 3*c - 42, -5*s - 5*c - 115 = 0. Let m be -6*(4 + s\/6). Solve -m*f = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 3)*(1 + 0 - 3)*(50*h - 26*h - 68*h).\nAnswer: 264*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-18))\/((-4)\/1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*w = -7*w - 4, -18 = -3*o - 3*w. Let f be (-775)\/(-150) - 1*1\/6. Suppose 4*h = -f*n + 68, -o*n - 135 + 9 = -5*h. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 300\/8189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 132052*u**2 - 4228736*u - 33838080.\nAnswer: 4*(u - 33045)*(u + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9401 + 0.1301. Which is the biggest value? (a) -12 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580879.\nAnswer: 317, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/171629 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 21 = -3*t. Let s = t - 6. Suppose 0 = 2*y - 2*r - 90, -3*r + 135 = 3*y - r. Calculate the highest common divisor of s and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511701824?\nAnswer: 2, 109, 360049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8220780.3 rounded to the nearest one hundred thousand?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 145*q**2 - 53092 + 62*q**2 + 53092. Let f(i) = -2*i**2. Give f(s(g)).\nAnswer: -85698*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 1188 = -384. Is j*11\/(-3)*(-9)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + (-2*(sqrt(931)*1 + 2) - (0 + sqrt(2736) + 5)*-3))**2.\nAnswer: 484*sqrt(19) + 9318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and ((-1)\/2*1)\/(47\/(-1692)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 6.2 (b) -4 (c) -0.06 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d + 4*y - 31 = 0, 0 = d + 3*y - 7. Calculate the highest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose -i*t - 12 = -3. Let y(u) = 3*u**2 + 8*u + 3. Is y(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -221.46 and 2.5.\nAnswer: -553.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*x + 26, 3*d - x = -1 + 12. Suppose 67*u - 28*u = 26559. Suppose -u = -11*j - 659. Solve -j*k + k + d = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719200 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26703 and 144?\nAnswer: 427248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(17\/2)*t*t\/t**(-3\/2))**(1\/3))**41 assuming t is positive.\nAnswer: t**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2039 is divided by (2034\/(-54))\/(1 - 56\/48).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10210 + -131032?\nAnswer: -201302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - (-3 + 15))*(0 - 1). Let i = 25 - 18. Suppose 2*r - i*r + 76 = 4*s, -19 = -s + 2*r. Solve s = 5*y + b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiwwwaw. What is prob of picking 1 a and 1 w?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -881800 to the nearest ten thousand.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 52 + (-48 - -26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*r - 49*r + 21*r in the form d + j*r and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*o - 68 = -16, 2*o - 53 = -5*l. Suppose -2*h - 5*f = -0*f - 31, -2*h + 21 = 3*f. What is the least common multiple of l and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by -9*323\/(-153) - (1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 28182063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59406440?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 1835.412465324\nAnswer: -1826.412465324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -22*(-4 + 1 + 2). Suppose 0 = -9*t + 11*t - k. Suppose 0 = -3*y + 5*d + t + 2, 4*y - d = 23. Calculate the least common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2312310 (base 4) to base 14\nAnswer: -439a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 11 - (-1898 + 1863)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (96\/46 - 1) + -1. Suppose -549 = 11*v - 3684. Let b be 8\/52 - (v\/(-117))\/(-5). What is the closest to b in -5, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31699 - 3939?\nAnswer: -35638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 89 - 93 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 + 0 - o - 1. Determine a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1928, 1905, 1882, 1859, 1836, 1813?\n\"Answer: -23*o + 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.093 - 0. Let g = a + 0.0836. What is g rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*u + 22, -14*y + 21*y + 2*u = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4911741 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from {w: 1, v: 1, q: 1, j: 1, b: 1, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Suppose -s = 3*s + v*a + 21, s = -a - 4. Let m = 6 - s. Solve u + 0*u + 22 = -5*c, 0 = -m*u - 2*c - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*z - 88, -4*z + 2*z - 5*r + 28 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -342b2?\nAnswer: -342ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -12*f + 157. Suppose 29 = 4*j - 5*c, 4*c - 57 = -4*j - 1. Calculate the remainder when 32 is divided by k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 42. Let p be x(14). Suppose 2*i + i - 6 = 0. Let g = p + i. Which is the biggest value? (a) 0 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204 + 409 - 205 - 9716*b**2 + 50394*b**2 to the form x*b**2 + v + k*b and give x.\nAnswer: 40678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 s when three letters picked without replacement from slssssslsslssllslss.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22826 - 22429. Which is smaller: 391 or o?\nAnswer: 391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -29 - 5) + (-302 - -316).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12142\/126)\/13 - 7. Let g = u - 5\/63. Which is the second biggest value? (a) g (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 11*b + 2785. What is the thousands digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 386*b*u**4 - 769*b*u**3 + 64*b*u**2 - b*u + 64*b - 79*u**4 + u**3 + 6*u**2 - 6*u + 1 wrt u?\nAnswer: 9264*b*u - 4614*b - 1896*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-12) + 1\/4. Let g(v) be the first derivative of -v**2\/2 - 8*v - 6. Let f be g(-8). Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/42)\/(2\/(-6))*4\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 9*f**2 - f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c - 36*c + 73*c - 12*c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -4*z. Suppose -3*k = -w + z*w, 5*w = -3*k. Is -3\/8 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 911*i. Let n(r) = 912*r. Give 3*n(v) - 4*p(v).\nAnswer: -908*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 1 - 2)*(0*g - 3*g + 5*g) + (-3972 + 3067 + 2560)*(4 - 2*g - 4))*(-1 + 3 + 1 - g) as b*g**2 + m + h*g and give b.\nAnswer: 3306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2 + 16*z**2 + 6 in the form b + j*z + y*z**2 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32367391?\nAnswer: 7, 660559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -5*s**5\/6 - 127*s**2. Let r(p) = -7*p. Calculate r(k(t)).\nAnswer: 350*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*1193.\nAnswer: -54878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(-2\/3)*q*q)**48)**(-6) assuming q is positive.\nAnswer: q**(-1632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*n + 0 = -65*n - 60*n + 3*k - 35, 0 = -n + 165*k - 820 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34200 is divided by 2615.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3836052, -3836047, -3836042, -3836037, -3836032?\nAnswer: -3836027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2223*w + 0*w**3 - 2*w**3 + 2280*w + (-3 - 1 + 2)*(-5*w**3 + 0*w**3 + 0*w**3).\nAnswer: 8*w**3 + 57*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1167710 and 63710.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3510 and 15170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 3. Let d(m) = -5*m**2 + 102*m - 520. Let w be d(11). Let g(k) be the first derivative of 7*k**2\/2 - 5*k - 2. Calculate w*g(v) + 5*h(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*s = 5*s - 2 - 187, 10*s = 5*a + 375 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -721580 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-30))\/((-187)\/935)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 7 - 18 - 4*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/25, -3, 2\/5, -1, 11, 2\/11, 864?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 226416, 226413, 226408, 226401, 226392, 226381?\n\"Answer: -m**2 + 226417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 5 - 3*j + 12*j - 5*j. Calculate n(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60320 = 204*t - 212*t. Suppose 10*z + 1500 = w + 12*z, -5*w - 2*z + t = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/21, -0.08, -70, 2\/13, 1, -147, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3\/3 - 1376*f**2 - 4*f\/3 + 1376 = 0.\nAnswer: -1, 1, 1032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + 9897. Is r(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205479896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36602554, -73205111, -109807668, -146410225?\n\"Answer: -36602557*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -40. Let x(b) = -b**3 + 6*b**2 - 2*b + 3. Let i be x(6). Let j = 6 - i. What is the remainder when t is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 2*u + 5*u - 10, -3*g = 4*u - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21124 - 21122. Factor -3 - 9\/2*k + 0*k**i + 3\/2*k**3.\nAnswer: 3*(k - 2)*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 57\/38*1691\/(-3) - -4. Let w = 841 + q. What is the nearest to 4 in w, 4\/5, -1\/3, -0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -16, -44, -94, -172, -284, -436?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 425 and 6015?\nAnswer: 511275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdct when four letters picked without replacement from gggggdgttggtttgcg.\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1153.24m?\nAnswer: 115324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -298838*h + 3884894. Calculate p(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -132. Suppose s + r = 19, s + 4*r - 5*r - 11 = m. Calculate the highest common factor of 40 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1 + 2*o - 3 + 5 + 7*o**2. Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**5\/30 + 2*z**4 + 53*z**3\/6 + 3*z**2 - 28. Let o be d(25). Put 4\/7, o, 1\/2, -3 in decreasing order.\nAnswer: o, 4\/7, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*s**4 - 183631*s**3 + 29408872*s**2 + 2*s + 2 wrt s.\nAnswer: -1440*s - 1101786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 318, 482, 662, 864, 1094, 1358?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)*(q*q\/q**3)\/q*(q*((q*q\/q**(-1))\/q)\/q)**4)**(-25))**(-2\/5) assuming q is positive.\nAnswer: q**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 1, h: 1, z: 1, v: 1, t: 2}. Give prob of sequence mh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2. Let w(i) = -i + 1. Determine 2*u(n) + 3*w(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, 29.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/3223684081?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 110\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/8 + 2 + (-11)\/4. Let a = -2\/995 + -18857\/23880. Find the common denominator of a and f\/((-81)\/246) - (-3 - 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f. Let g(w) be the second derivative of 0*w**2 + 0*w**3 + 0 + 1\/12*w**4 + 15*w. Calculate k(g(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -7. Let h(s) = s**2 - m*s + 28 - 11 + 24*s. Let n be h(-8). Which is bigger: n or 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962570 + 14?\nAnswer: 962584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24337 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 - 2. Let p(d) = -d + 2. Let f be p(1). Let g(b) = b**3 + b**2 - 1. Let a(x) = f*q(x) + 5*g(x). What is the first derivative of a(o) wrt o?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 419*n + 67. What is a(105)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 10*o**2 + 9*o + 10. Let g be x(9). What is the units digit of (-1 - -129) + (14 - g) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2581 + -2594.395. Let i = 0.395 + s. Which is the second biggest value? (a) 3 (b) -1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-9))\/((-52)\/(-117)). Is i greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188777*n = -1188927*n + 1800 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/2)*a)\/(a\/(((a*a**(-2\/23)*a)\/a)\/a)))**(-48)*((a\/(a\/(a\/(a**(7\/2)*a))))\/(a**(-1\/9)\/a))**(2\/23) assuming a is positive.\nAnswer: a**(5789\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/135*(-6)\/(-56)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**2 - 5 + 3)*(-2 + 2 - 3*b).\nAnswer: -6*b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2692857*s - 2. Let b be y(14). Round b to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -105596633 and -105596633 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 177, 137 in descending order.\nAnswer: 177, 137, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = -4*g, g + 1 = -5*q + 3. Let p be (-1)\/(0 - g)*0. Let h(i) = -i + 6. Calculate h(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*l - 1, -5*l + 3*y + 9 + 4 = 0. Let n(w) = -7*w**2 + 5*w**l + 5*w**2 - 2*w**2. Let k(o) = o**2. What is n(k(x))?\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 4645*h**2 - 4630*h - 9280.\nAnswer: -5*(h - 928)*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3, -1.549345?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -32926*h - 197674. Calculate y(-6).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*k + 777, 4*k + 186 = -r - 0*k. Let d = r - -206. Solve -d = -7*p + 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 3117650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 16\/10)\/(9\/(-45)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3052139.\nAnswer: 3052139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293654 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i - 2. Let b be w(-2). Suppose 0*n + b = -2*n - 4*x, n - x = 8. What is the smallest common multiple of 1 + n - (-16)\/4 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-273)\/14)\/(-13))\/(12\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7348, -14694, -22052, -29428, -36828, -44258, -51724, -59232?\n\"Answer: -l**3 - 7339*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 4053*a**2 - 6*a + 2 - 4052*a**2 in the form w + n*a + s*a**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 693*h**2 - 693*h**2 - 368*h - 2*h**3 + 368*h.\nAnswer: -2*h**3 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 19460111613.\nAnswer: 19460111613.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 - -6 - -2. Let d = f - -5. Let x(s) = s**3 - 17*s**2 + 18*s - 24. Calculate the remainder when d is divided by x(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.014 and -0.23.\nAnswer: 0.00322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 494179710 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4108402994 and 802?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 1028224.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 8:54 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o**3 - 7*o**2 + 15*o + 85. What are the prime factors of x(-13)?\nAnswer: 2, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153305, -311020, -468735, -626450, -784165, -941880?\nAnswer: -1099595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-20)\/(-28) + 7968\/(-581)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-4 + -1 + -16 + 26)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7951 by -7.\nAnswer: -7951\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350198 and 118496?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*v + v. Let r = v + -10. Let m(u) = -2*u**3 - 5*u**2 - 2*u - 1. Let p(k) = -k**2. Calculate r*m(x) + 5*p(x).\nAnswer: 2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**8)\/f)**(-2\/7) assuming f is positive.\nAnswer: f**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*n + 17, 3*n - 7*n = -4*a + 28. Solve -11*c + a = -12*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -23 + 5. Suppose 3*d + j - 9 = 0, -4*d + v*d - 5*j - 35 = 0. Let w(h) = h**3 - 3*h**2 - 5*h + 6. Determine w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = d + 6. Suppose 6*s = d*s + 36. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 5\/26, 1\/4 in descending order.\nAnswer: 1\/4, 5\/26, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-2 + 12) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 12636.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -1)\/(7488\/416).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 2, -7, -5338 in descending order.\nAnswer: 2, -0.3, -2, -7, -5338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - 167. Is -0.3 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i + 4*h = 40*i, -3*i + 4*h - 28 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)\/((-2250)\/500)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = -2*n, 3*n = -5*m + 15 + 3. Let w be ((-62)\/n)\/(6\/(-18)). Suppose -3*z + 32 = -w. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 15*s**2 + 16*s + 26. What is the remainder when k(14) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(6*sqrt(42)\/sqrt(6) + (5 + 2*sqrt(7))**2) + 0.\nAnswer: 265 + 130*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.8387 months in years?\nAnswer: 16.153225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11698 = -4*z + 4*s + s, 0 = 5*z - 2*s - 14631. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -65?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -57.1, 43, 4\/13, 0.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 489 + -358. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23855.0840308 - 0.0330308. Let l = t - 23906. Let u = -51 - l. What is u rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 - 74. Suppose p = 5*t - 0 + 3, 4*p = t + 12. Suppose t = 5*j - h + 8. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 9*u - 14. Let l be a(12). Suppose l*w - 30 = 17*w. Let z be ((-20)\/w)\/((-20)\/120). Solve z = -v - 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 749 = 2*m + 780, 0 = c + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, d: 4, a: 1}. Give prob of sequence da.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3\/92)\/(((-19224)\/(-192))\/89)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 7*i**2 - 9*i + 6. Let u be h(6). Let c = -7 - u. Let b = 9 + -8. Sort 0, b, c in increasing order.\nAnswer: 0, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253424 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhg when three letters picked without replacement from lhfeggq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 6. Suppose -3*m - 1 = 3*n - n, -34 = -3*m + 5*n. Suppose 2*h = -m - 5. Let j(b) = b**2 + 3*b + 3. Let x be j(h). Give p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.95078um in nanometers?\nAnswer: 57950.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10340 bigger than -10344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 3*z**4 - 2*z - 2*z**3 - z**2 - 3*z**2 + z**2 - 2 to j*z**3 + a*z**2 + d*z + r + v*z**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/9 + 68*i**3\/9 + 242*i**2\/9 - 1904*i\/3 + 1568.\nAnswer: 2*(i - 4)**2*(i + 21)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2274070, 4548136, 6822202, 9096268?\nAnswer: 11370334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(-20)*52\/(-39)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1 - 5\/(-1). Suppose 0 = -4*r + r + c. Suppose r*v - 213 = -0*v - i, 2*v + 5*i - 233 = 0. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 5*w + 2 + w + (-1 - 2*w + 1)*(0 + 0 - 1).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -626, -616, -606?\n\"Answer: 10*q - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*f + 374. Calculate the remainder when f is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 9. Let y = -32 + 92\/3. Let g(c) = c - 10. Let s be g(7). Put s, i, y in increasing order.\nAnswer: i, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/57? (a) -6 (b) -1\/6 (c) 664\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 - 89 = -19*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqjjjjjqjq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ceee + -54?\nAnswer: -2cf42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 2*h - 1. Let l be a(5). Is 5 a factor of 4\/l + 41\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-18) - -4)*1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44410*u - 44430*u + 100 = 0. Let l = -10 + 8.8. Let b = 0.2 + l. What is the biggest value in -7, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3887.08 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -2*q. Let f be (q*6\/30)\/3. Solve 12*y - 11*y + 3 = f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2303, -12777, -41255, -96755, -188295?\n\"Answer: -1503*a**3 + 16*a**2 - a - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 2*w**2 + 0*w + 1\/48*w**6 + 1\/1344*w**8 + 5\/96*w**4 - 1\/168*w**7 - 1\/24*w**3 - 1\/24*w**5 + 0. What is h in s(h) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 26 + 4 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6060 divided by 606.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*r, 0 = -r - 2. Let h be (-4 - 72\/(-15))\/(q\/(-70)). Calculate the highest common divisor of h and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.6 (b) -1\/2 (c) 4 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 389436.94 to the nearest 1000.\nAnswer: 389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12449*g - 572661. Give j(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -569 - 75 - 178*p - 84 + p**2 = 0.\nAnswer: -4, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8186*24.\nAnswer: 196464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**3 + 3*m**2 + 5*m - 13. Let j(b) = -4*b**3 - 2*b**2 - 3*b + 6. Let q(u) = -3*c(u) - 5*j(u). Is 9 a factor of q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/3)\/l)\/l)\/l)**(-21) assuming l is positive.\nAnswer: l**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*u**2 + 19*u - 9*u - 29*u wrt u?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - (-1094 - 1))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-12)\/28 - 622\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 552859 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 30174137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 91 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/(-3)*(663\/(-34))\/13. Calculate the highest common factor of 1054 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 1\/36*x**4 + 0*x + 2 + 2\/45*x**5 + 0*x**3 - 1\/2*x**2. Let y(b) be the second derivative of v(b). Factor y(r).\nAnswer: 2*r*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) -1 (c) 5 (d) 4 (e) -542 (f) 2 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:30 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 4*f**2 + 5*f - 8. Give q(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 254 - 290. Is (j\/54)\/(((-4)\/234)\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6254527?\nAnswer: 6254527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.4 (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 14 + 4 = 0. Let l(r) = -b*r**2 + 1 + 4 + 21*r**3 - 25*r**3 + 10*r**2. Let o(x) = 2*x**3 - 4*x**2 - 3. What is 3*l(f) + 5*o(f)?\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -2 - sqrt(76))*1 + sqrt(76))**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 20. Let f be w(8). Let c(v) = 3*v + 1. Let x be c(f). Calculate the highest common divisor of x and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8598067 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -444827228 take away -0.06?\nAnswer: -444827227.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14776?\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -11) + (4 - 1). Let o(k) = 16*k**d - 8*k**3 - 12*k**3 - 5 - 5*k**2 - 3*k**3 - 2*k. Let f(n) = -n**3 - n**2 - n - 1. Determine 5*f(l) - o(l).\nAnswer: 2*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7062149*l**2*y + 49996*l*y - 10*l wrt l?\nAnswer: -14124298*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12090 - -12092. What is the closest to -1\/4 in 0.2, 6, u, -1.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*d = 269, -q + 30 + 16 = -3*d. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2\/31)*x*x))\/(x**(-16)\/x*x))\/((x*(x\/(x*x\/(x\/(x*x*x**(-2\/17)*x))))\/x)\/x**(-6\/5)) assuming x is positive.\nAnswer: x**(44128\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*n + 4 + 2, 3*k = 0. Suppose a - n*m + 9 = 4*a, 5*a = -4*m + 16. Calculate the highest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.64 + -0.04. Let t be 0 + 1 - (-2 - -1). What is the nearest to -0.1 in o, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10 = 7*z. Let p(u) = u**2 - 5*u - 5. Let y be p(5). Put -1, y, z in descending order.\nAnswer: z, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132 + -112 - (10 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15337287 to the power of 1\/2, to the nearest integer?\nAnswer: 3916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 12*c + 20)*((c + 1 - 1)*(5 - 5 - c) + 0*c**2 + 5*c**2 - 71*c**2).\nAnswer: 804*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 2 - 2)*(2*d + 1 - 3*d - 5*d) to j*d + q*d**2 + k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14526 (base 10) to base 8\nAnswer: 34276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-2)\/(-2))\/(1\/391)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -737*m**5 - 254*m**2 + 2*m + 162676 wrt m?\nAnswer: -14740*m**3 - 508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*b = 2192*b - 40392 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0 + 0*b**2 + 18*b**2 - 5*b**2.\nAnswer: 13*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 19*b**2. Let d(t) be the second derivative of -63*t + 0*t**2 - 5\/6*t**3 + 0. Give v(d(w)).\nAnswer: 475*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 - 3*s - 8. Let y be m(-4). What is the units digit of (3 - (-2 - -4))\/(1\/y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1924 + 4528. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4709782712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 3\/(-12) + 52\/16. Suppose 0 = 5*v - c*v - 11. Suppose -31 = -2*q + v. What is the highest common factor of q and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 89 = 5*k - 0*g, -3*k - 4*g = -49. What is the highest common factor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/18 and ((-519)\/692 + (-3)\/4)\/((-6228)\/(-278)).\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -146, -501, -1112, -1991, -3150?\n\"Answer: -2*o**3 - 116*o**2 + 7*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 52 - 46. Let j be (-5028)\/(-84) + -1 + 16\/f. What is the tens digit of ((-1)\/3)\/((-2)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.57533 to two dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**3\/3 + 2*m**2 + 5*m + 2. Let b = -11 + 7. List the prime factors of a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3870243 and 5928?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-18))\/((-4)\/6). Suppose -p*i + 2153 + 337 = 0. Suppose -2*f = 2*b - 422, -4*f - i = -4*b + 338. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 39, 2, -14, 96 in ascending order.\nAnswer: -14, -2, 0, 2, 39, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*b + 1 + 18, -5 = 2*b - 5*c. Let g be (b - -5)*(-1)\/1. Solve g*k - 4 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -22, 421, 2, -2 in descending order.\nAnswer: 421, 3, 2, 0, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/70*(-2)\/26?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3\/8 - 1021*z**2\/8 + 4261*z\/2 + 194768 = 0.\nAnswer: -1036, -32, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1*sqrt(198) - sqrt(198) - sqrt(198)) + sqrt(198))\/(3*sqrt(81)))\/((-1*1*sqrt(176) - sqrt(176))*5).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/12 + 3*n**2. Let f(b) = -25*b + 3. Let k(z) = -200*z + 25. Let o(q) = -25*f(q) + 3*k(q). Give o(s(p)).\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58.49 + -58. Let p = v + -0.5. Let c = p - 0.13. What is c rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 22)*2\/(-24) - 26\/24. Is 234.5 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 1 - 1)*(-4*d + 5*d + d)*(33*d**3 - 27*d**3 - 86*d**3).\nAnswer: 160*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*p - 204*p + 43*p + 38 to j*p + b and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/3 - 8464*c + 2109040\/3.\nAnswer: -4*(c - 82)*(c + 6430)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - (-717 - 12\/4) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**2\/2 - 6*u + 3. Let a be s(-8). What are the prime factors of (a - 0)\/(2\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*g - 2, 75 = 3*l - 2*g. Let y = 11 - 23. Let m = y + l. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 45. Let v be (20\/4 - -3)\/f. Solve v*l = 12, -t - l - 5 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.95 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**8\/b*b)**(-5))**(2\/57) assuming b is positive.\nAnswer: b**(-30\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-22)*15\/(-42).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 - (-14)\/4)*-62?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 989 or 305?\nAnswer: 989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -48. Which is smaller: 37 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11836836 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -64.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-13))\/(131\/((-100477)\/118)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4\/53 (b) 13 (c) 5\/3 (d) -2\/11 (e) 4 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-3))\/((-2)\/12). Suppose 3*v - 22 = p. Calculate the lowest common multiple of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1468995807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11096819*w**5 + 97992106*w wrt w?\nAnswer: -221936380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51396.33ml in litres?\nAnswer: 51.39633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2045303 - -120?\nAnswer: -2045163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n - 6. Let c be t(-9). Let w = -12 - c. Suppose -4*k = -26 - w. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 4.6 (c) 1 (d) 6 (e) -1.06 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8925 + -8926. Which is bigger: -8\/37 or d?\nAnswer: -8\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/1150 - (-144)\/550.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 207 = 30*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -3, 79.1363 in descending order.\nAnswer: 79.1363, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 5, -1477 in increasing order.\nAnswer: -1477, -9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4965, -5, -4, -13780 in decreasing order.\nAnswer: -4, -5, -4965, -13780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - c**4 - 5*c**4 - 2*c**2 + (8*c**2 - 8*c**2 - 5*c**3)*(-5*c + 12*c + 15*c).\nAnswer: -116*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2568*f**2 - 2570*f**2 + 49*f - 320*f**4 - 13*f wrt f?\nAnswer: -7680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 74*c**2 - 43*c - 14. Does 31 divide j(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11347.8409 and 0.06?\nAnswer: -680.870454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.276 - 0.276. Let i = 2.9 - 3. What is the second smallest value in i, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 1. Let m be (-154 - -2)*(-3)\/6. Let q = -464 + 545. Let v = q - m. Give u(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (33 + (6 - 56))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*f - 5*f - 255, -f = -3*t + 267. Which is the closest to 0.1? (a) 5 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(198) + sqrt(198)))\/((sqrt(180)\/(-1*sqrt(10) - sqrt(10)))\/sqrt(9)).\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7724 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -8.572.\nAnswer: -3.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 123.74.\nAnswer: -866.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257 divided by -2529.\nAnswer: 257\/2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28891?\nAnswer: 167, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389850*m + 2216 + 878593*m - 2216.\nAnswer: 1268443*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3563\/3 + ((-416)\/(-24))\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -1, 6, -0.007, -2\/95, 5\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd4 (base 16) to base 11.\nAnswer: -2516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/3))**1\/(j**(-1\/9))**14 assuming j is positive.\nAnswer: j**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 45*k**2 - 126*k + 2. Calculate t(-42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y. Let x(l) be the third derivative of 0 - 1\/60*l**5 + 0*l**3 - 3*l**2 + 0*l**4 + 0*l. Calculate p(x(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130182, -130086, -130002, -129936, -129894?\n\"Answer: -k**3 + 103*k - 130284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 1. Let g = p - 8. Suppose g*f - 10 = 26. What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 65*b**2 - 580*b - 292. Let f be j(73). Solve 9*a + 9*a + 126 = f for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 0, -4*s - b + 9090 = -238. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2517.783 millilitres?\nAnswer: 2.517783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9319470 rounded to the nearest one hundred thousand?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 6*i**2 + 30. Let p be g(5). Solve 3*h - 34 = 5*a, 48 - 11 = -p*a + 4*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6655*h**2 - 13320*h**2 + 8*h + 6658*h**2 + (-h + 0 + 0)*(0*h + 4*h - 3*h) to the form m*h + z*h**2 + o and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j - 29. Let f be y(-9). Calculate the highest common divisor of f and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 10:00 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1476 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, 1 u, and 1 a when four letters picked without replacement from {j: 2, u: 1, n: 8, a: 7, e: 1}?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2. Let w(y) = -15*y**2 + 5*y. Let i(u) = 8*u**2 - 3*u. Let h(z) = -5*i(z) - 3*w(z). Calculate q(h(m)).\nAnswer: -125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o = 331. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 3 + sqrt(304) + -2 + (sqrt(171)*-2 + sqrt(171))**2*2)*5*4.\nAnswer: 160*sqrt(19) + 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445284 and 15732.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4, -2\/5, 170 in increasing order.\nAnswer: -2\/5, 1\/3, 4, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 13. Let u = 22 + r. Let t be (u\/(-21))\/(1\/(-7)). Solve 2*x = 4*s - 6, t*s + x = 3 + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1306, 88, 6, 5 in descending order.\nAnswer: 88, 6, 5, -1306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 1089 = -18. What is the highest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5\/u)**(1\/3))**(6\/5) assuming u is positive.\nAnswer: u**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8348601 litres in millilitres?\nAnswer: 834.8601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/180*295\/(-236)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*s - 57*s + 967*s - 201110 = -171*s for s.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 - 3*t + 2. Let c be i(4). Calculate the greatest common factor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-3\/2)*s)\/s)\/s**(-8\/9) assuming s is positive.\nAnswer: s**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7313964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - l = -2*l - 11, 3*l - 21 = -3*z. Let g = 6\/17 - 32\/187. Which is the third biggest value? (a) g (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 7*h**2 - 3*h - 1. Let z be k(-7). Let m = 272.4 - 272. Sort z, m, -3 in decreasing order.\nAnswer: z, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2755 + -2294. What is the remainder when x is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, g: 5}. Give prob of sequence ugg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2299)*1*3)**2 + sqrt(2299)) + 6*(sqrt(19) + -2)**2 + 3 + sqrt(57)\/sqrt(3).\nAnswer: 43*sqrt(19) + 124287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1101 + 1528. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15229, 30579, 45929, 61279, 76629, 91979?\n\"Answer: 15350*m - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13882 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -26932161\nAnswer: -45784673.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 402.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1708*o - 566*o - 554*o + 2 - 559*o to z + x*o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 2*d**2 - 99*d + 3067*d - 18 + 48.\nAnswer: -2*d**2 + 2968*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsns when four letters picked without replacement from sohhhsefesn.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1152))\/(-2*sqrt(96)) + (sqrt(21)\/sqrt(7) - sqrt(3)) + -4 + (sqrt(120)\/sqrt(4))\/sqrt(10))**2.\nAnswer: -24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**15*l)\/(l**7*l))**8)**(2\/161))**(-2\/39) assuming l is positive.\nAnswer: l**(32\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 100*r + 5439 = -90*r - 1631 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -4*t, j + t + 5 = -j. Suppose 8 = 5*n - 7. What is the remainder when (1\/(-3))\/(j\/42) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**5 + 4*h - h**5 - 2*h + (-h**4 - 5*h**4 + 4*h**4)*(6*h - 4*h + 0*h).\nAnswer: 3*h**5 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, 0, -48, 3, -1\/6 in descending order.\nAnswer: 4, 3, 0, -1\/6, -0.3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:55 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*(-2)\/9*711\/(-790)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 13. Let g be (-243)\/(-12) - 6\/(-8). Solve x + 1 + g = -5*u, -3*x - t = 2*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10832761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642882*q = -642773*q + 6758 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 22 = 3*z. What is the highest common divisor of 18 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3 + 170*c**3 - 169*c**3 - 5 + 3*c - 3*c**2. Let t be j(4). Suppose -t*v = -25*v. Solve -5*k + 24 = -g, v = 4*k + 5*g + 1 + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28548388 - -42614911. Let i = n + -14066520.00000036. Let t = 3 - i. Round t to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 5:56 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*a**2 + 3606 - 3608 + 3*a**3 - 48*a**2 - 36*a**2 as t*a**3 + y*a**2 + m + n*a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249 - -361. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.660701 centimeters in kilometers?\nAnswer: 0.00009660701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121.01 - 119.2145. What is u rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820278665.\nAnswer: 3, 5, 40450637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.865978 rounded to two dps?\nAnswer: -5.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*s + 38. Suppose -4*h = -s, 2*h + 2*h = -5*c + 55. What is the remainder when 30*1\/((-3)\/(-2)) is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7887 - -86754\/11. What is the biggest value in -1\/3, y, -3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-212 + 212 - 32*c)*(-5*c**2 + 2*c**3 - c**3 + 4*c**2).\nAnswer: -32*c**4 + 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 + 42*l - 11*l**2 - 3*l**2.\nAnswer: 2*l**2 + 42*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -112.2. Does c = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18197700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from uuwszwnwnsunznnwnjz.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*(-20)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 10. Let w be k(2). Let x be (2*3\/w)\/((-5)\/10). Find z such that 20\/7*z**4 - 2\/7*z - 33\/7*z**3 + 15\/7*z**x + 0 = 0.\nAnswer: 0, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240396 a multiple of 1402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4743 times -0.1\nAnswer: -474.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/16)\/(1\/8). Let k be 11 + -12 - -1*f. Let u(v) = -2*v + 4. Calculate u(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*y**3 - 419*y**3 + 1769526*y**2 - 1769526*y**2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -233 - -353. Suppose x = -g - 4*g. Is (g\/(-7))\/((-3)\/(-21)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + r**3 + 0*r**3 + (4*r**3 - 3*r**3 + r**3)*(1 - 3 + 0) + 2 - 2 - 2*r**3 + (1 + 30*r - 30*r + 8*r**3)*(2 - 16 - 3).\nAnswer: -140*r**3 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 84 = -2*p. Let i(v) = -v - 7. Let a(z) = -11 + 9 + 1. Let k(t) = p*a(t) + 3*i(t). Let j(h) = -8*h**2. What is k(j(m))?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-18)*2)\/((-1)\/(-6)). Suppose 0 = 3*p + 2*x - 43, z*p + 2*x - 73 = -3*p. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*x**2 + 56*x**2 - 2 + 231*x**2.\nAnswer: -13*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 343675 - 2?\nAnswer: 343673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 - 24168073.4?\nAnswer: -24167975.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 9, 25, 47?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (64\/20)\/(2\/30). Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*d**4 + 178*d**3 - 2630*d**2 wrt d?\nAnswer: -792*d + 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2965\/7 + 423. What is the nearest to -0.1 in 10, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0*v - 4*v - 2 + 14*v**2 - 4 - 16*v. Let o(u) be the second derivative of -5*u**4\/12 + 7*u**3\/6 + u**2 - 131*u + 2. What is 6*k(t) + 17*o(t)?\nAnswer: -t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -1628?\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 26*d + 20. Let u be a(-16). Let k be 6\/(-33) - (-16)\/u. What is the smallest value in 0, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121559244?\nAnswer: 2, 7, 1979, 38287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 237*u + 469. Let x be l(-2). Let r = -0.4 - 0.6. Which is the third smallest value? (a) r (b) 0.2 (c) x (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*v - 59*v + 10707 = -179*v for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 3 * -19344\nAnswer: -58032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 8 + -1 + 3. Let y(w) be the second derivative of 4*w**3\/3 - w**2\/2 - 4*w - 12. Let a(u) = -15*u + 2. Give g*y(h) + 6*a(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 - -179. Let l = 41 - s. What is the units digit of 274 + 2 + (-4)\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2759 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:55 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234796462 to the nearest integer?\nAnswer: 15323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/4 + 239*k**4\/2 - 357*k**3 + 713*k**2\/2 - 475*k\/4 = 0. Calculate k.\nAnswer: 0, 1, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 3 = -15*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Suppose -4*s - 5*s - 9 = 0. Let t(c) = -c + 1. Let g(v) = s*r(v) - 2*t(v). Let n(w) = -w - 1. Let u(d) = g(d) + 2*n(d). Determine u(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**5 - v**4 - v**3. Let i(k) = 33*k**5 + 5*k**4 + 5*k**3 + 11*k. Let b(c) = -i(c) - 5*m(c). What is the second derivative of b(w) wrt w?\nAnswer: -560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 9 (b) 1.1 (c) -1\/3 (d) 1 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1856\/(-3)*(6552\/(-96))\/13?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrn when three letters picked without replacement from {n: 3, y: 5, r: 3, o: 1, i: 5, m: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnqgeteenqntgqnqq. What is prob of sequence qq?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 456\/608 - (-642)\/8. Solve -l - 75 = -g for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 1233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006687925 rounded to 7 decimal places?\nAnswer: 0.0000669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*u + 4826*b - 986*u with respect to u.\nAnswer: b - 986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 6) to base 8\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*y = 172*y + 376 - 1399 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4\/7, 1\/2, -1, -58, 1\/79?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111296 and 2656064.\nAnswer: 3008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 10*l + 16*l)*(-4 - l**4 + 4) + 0*l**5 + l**5 + l**5 + (3*l**5 + l**5 - l**5)*(-23 - 21 - 1).\nAnswer: -140*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h + 13*h - 3*h. Let s(y) = 8 + 108*y - 8 - 109*y. Give z(s(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/(-1287) + (-1161)\/(-33)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3137140 is divided by 210?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2 + 0) - -1. Suppose 2*s = 4*a + 26, -s - s + 5*a + 21 = n. What is the greatest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/45 + -69*(-14)\/63?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2444165.\nAnswer: 5, 488833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289 + 375. Calculate the greatest common factor of y and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91580 divided by -4\nAnswer: -22895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - 12. Let v = u + 22.7. Which is the third biggest value? (a) 1\/8 (b) v (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -0*y + 3*y. Suppose y*i - 18*i - 20 = 0. Let v(k) = -k**2 + 42*k - 21*k - 24*k - 2. What is v(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007769 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geggvueeueuguegeug. What is prob of picking 2 e?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 2.1 (b) 3 (c) -7 (d) 0.6 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326708, 653417, 980128, 1306841, 1633556, 1960273, 2286992?\nAnswer: 2613713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 24*k + 21. Determine r(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -316, -461?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12792*z**2 + 6370*z**2 - 33 + 6381*z**2)*(-15*z + 31*z - 2*z + 3) to i*z**2 + r*z + x + n*z**3 and give i.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p. Let z(h) = -39*h + 90. Let l(d) = -13*d + 34. Let j(f) = -8*l(f) + 3*z(f). Give i(j(y)).\nAnswer: 39*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 6. Let z be l(5). Suppose -10 - 5 = -3*x. Solve 1 = -x*f - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvv. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*39\/24*540\/45?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*((-121)\/(-27) + -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 7, r: 3}. Give prob of sequence rrj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) - (-4885020)\/(-1050). Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*54\/54?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 6*z - 15*z - 4*z.\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-3) + 0)*(-98)\/343. Which is the closest to -0.4? (a) l (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2498 + -2481. Let x(k) = -k**2 + 8*k**2 - k**2 + 6 + 6*k - 10*k**2. Let f(m) = 11*m**2 - 17*m - 17. Calculate o*x(n) + 6*f(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 7*b + 3. Let o be n(7). Suppose 0 = -r - o*r + 4*d - 64, -3*d = -r - 6. Let k be (-27)\/r - 2\/7. Solve -k = -3*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-71)\/71)\/((-2)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/(y\/(y**(9\/4)\/y)))*y)*y*(y\/(y\/y**(-4\/3)))\/y)**23)**(-7\/2))**19 assuming y is positive.\nAnswer: y**(39767\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18091\/2983230 - 2\/18415. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247\/366 - 1\/122. What is the second smallest value in 2, v, 0, 0.078?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-192)\/(-56) + (-3)\/7. Let f be (18\/1)\/2 + 0. Let s be (4\/5)\/(10\/25). Solve -m + s = -x, 4*h = m - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807878 to the power of 1\/2, to the nearest integer?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2910272502 rounded to 2 decimal places?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 299342450 divided by 5442590?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 373357, -4, 5, -1 in decreasing order.\nAnswer: 373357, 5, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18077306, 72309232, 162695774, 289236932, 451932706?\n\"Answer: 18077308*v**2 + 2*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.4320313 to one decimal place.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k = 84*k + 15, -9 = -2*v + k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2983*b + 2616. Is k(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 111*x + 0 + 54*x + 6*x**2 + 62*x - 12. Is n(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2293 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**3 + 809*y**2 + 132*y + 296. What is v(135)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(2299))*-2)**2*2.\nAnswer: 704*sqrt(19) + 73600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10214242242 (base 5) to base 11\nAnswer: 6046547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from tnahtnzthata.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 22*r**2 - 5*r + 13. Let v be d(2). Suppose 4*o + v = 399. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 544, 531, 496, 427, 312, 139, -104?\n\"Answer: -2*w**3 + w**2 - 2*w + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9421 - 9385 = -4*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*q + 6 = 0, n - 2*q - 1 = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 360 = -6*g. Let p be g\/21 + (-2)\/7. Suppose -p*m - m + 70 = 0. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5 - 54*i**4 - 244*i**3 - 132*i**2 + 242*i + 186 = 0. What is i?\nAnswer: -3, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -6. Let n be (l\/10)\/(-1 + 0). Let t = 10 + n. What is the remainder when 26 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34223934 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5741\/38 + 2823\/19. Put 2, 6\/19, -3, j in increasing order.\nAnswer: -3, j, 6\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 54 - 142. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 f, and 1 a when four letters picked without replacement from {z: 4, f: 3, k: 4, a: 4, n: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Let x(s) = s**3 + s. Let y be x(r). Let h be y\/((-1)\/(2 + -1)). Let m(l) = -l**2 + l + 1. What is m(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 26 = 4*l, 0 = 4*l - 5*y + 18485 - 18508 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93214960 divided by -23303740.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -622*h**2 + 309*h**2 + 289*h**2. Let i(n) = 2*n + 0*n - 3*n. Calculate i(f(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3023044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58706303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 224403188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 4995, 0.3, 12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.45 + -0.35. Let y = -0.2 + u. Put 1, -0.3, y in descending order.\nAnswer: 1, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 8 - 16. Let l be 1\/6*(-36)\/k. Which is the third smallest value? (a) 0 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 919296 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/28)\/(0 + (-2)\/(-4)). Which is greater: -0.8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -854 + 7*x**3 - 6*x**3 + 870 - 8*x - 4*x**2. Calculate g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6785*c - 61. Is g(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12948 is divided by 6465.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (378\/(-105))\/((2\/(-5))\/2). Suppose 2*r - o = -4*y, 0*r + r = 3*y - 1. Let l = 1 - 1. Solve -h + y - 1 = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.4 + -124.6. Let u = r - -146.74. What is u rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - r**3 + 2*r**2 - 2*r - 2861 + 2781 as s*r**2 + i + f*r**3 + b*r and give i.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 42*a - 76. Let j be b(17). Calculate the highest common factor of 108 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 5*u**3\/3 - 35*u**2 + 245*u + 25. Solve k(h) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 19 + (0 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4276 and 3306?\nAnswer: 7068228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -613, 7172 in increasing order.\nAnswer: -613, -9, 7172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5279 in 5\/4, -6, -0.3, 9\/226?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**4 - 1774*h**3 - 38382*h**2 - 207356*h - 94304 = 0.\nAnswer: -421, -14, -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5*(g*g**(-3))\/g)\/((g*g**9)\/(g\/(g\/(g*g**(-2\/3))))))\/((g\/g**1)**9*(g**(-1\/4))**(11\/7)) assuming g is positive.\nAnswer: g**(-611\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**4 - z - 5. Let f(i) = -i + 1. Let d(n) = 15*f(n) + 3*h(n). What is the second derivative of d(s) wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/90*-3)\/(2\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:25 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**5 + 458732*f**4 + 917448*f**3 = 0.\nAnswer: -114681, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45290055 - 45289685.98966. Let s = -369 + v. Round s to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -84263.\nAnswer: 25\/84263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -24*(3 + 9\/(-2)). Suppose -u = 2*l - 40. Solve -l - 2 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -36*p**2. Let k(q) = 1187*q + 4*q**2 - 2379*q + 1192*q. Give k(n(c)).\nAnswer: 5184*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*s = -199*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/9*3\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/60 + o**4\/4 + o**3\/6 - 2*o**2. Suppose -12*m + 15*m = -15. What is l(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2637, -2636, -2633, -2628, -2621, -2612?\n\"Answer: z**2 - 2*z - 2636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11990 - 11987. What is the closest to -0.1 in -547, -1\/6, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 7. Let b(p) = p**2 + 8*p + 7. Let h be b(x). Let s(g) = 7*g**2 - 3*g - 1. Let z(i) = -6*i**2 + 2*i + 1. Give h*z(r) - 4*s(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/20 - 1\/(-8)*-2. Let i be 3\/1 - -2 - (1 - z). Let j be 21 + (0 - 1 - -4). Calculate the greatest common factor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bc7 + 1e?\nAnswer: be6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 2*x**3 + 5*x**2 - 1 + x**2 - 5*x**2 in the form i*x**3 + y + r*x**2 + l*x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/18 - -3)\/((-1)\/(-6)). Calculate the smallest common multiple of g\/(-14) - (4167\/(-63) + -4) and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136676986 or -136676987?\nAnswer: -136676987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Let q(z) = 0*z - z**2 + 2 + 4*z + z**3 - r*z**2. Let u(h) = -h**3 + 3*h**2 - 3*h - 2. Let x(o) = 3*q(o) + 4*u(o). Differentiate x(t) wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 140907\nAnswer: -140911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*r - 297 + 347 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 4*h - 3. Let k be p(1). Suppose 3*m + 11 = 2*x, -18 = -4*x - k*m + 5*m. Solve t - 19 = -4*a - 1, -4*t + x*a - 28 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - 5 - (-9 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1068 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21465 rounded to 3 decimal places?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 8) to base 4.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - -23 - (-7 + (4 - 1))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3 - 4*t**2 - 2195250*t - 349856747 with respect to t.\nAnswer: 3*t**2 - 8*t - 2195250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 7}. What is prob of picking 1 u and 3 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/47930?\nAnswer: -1\/47930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33826018 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -55130 (base 6) to base 4\nAnswer: -1312332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -235035.255 to the nearest one hundred.\nAnswer: -235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 7*l = -308, 3*b - 4*l + 110 - 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 70686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 2, 3, 1\/7, 263?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 21\/2*t**2 + 22 - 1\/3*t**3 + 0*t. What is the second derivative of u(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 12*o**2 - 6*o - 310. Let k be d(14). Put 2, -264, k, -5 in increasing order.\nAnswer: -264, -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 14470824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58706738.\nAnswer: 2, 2741, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**3 - 31*q**3 + 5*q**3.\nAnswer: -49*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (528\/(-484))\/((-30)\/1375*(-50)\/30)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 17. Let d be s(7). Suppose 3*x - 14 = -d*x. Let q be 24\/(-36)*(-4 - (4 - x)). Solve q*k + 2*p + 26 = 0, 0 = 5*p + 6 + 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-1)\/4). Suppose 0 = h*t - 4 - 2. Differentiate -1 + 2*y**t - 4*y**3 - 1 with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-208) + 6\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4214 + 7294. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8661\/(-2887)*(-2 + 23)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3459 and 15877963.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1029 - -11. What is the highest common divisor of z and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 0\/3)*-10. Suppose 0 = 2*h + u - 63, 5*h + 4*u - 182 + v = 0. Suppose 0 = y - 3*g - 1 - 2, 0 = -2*y - 2*g + h. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 4*s + 4. Suppose s*x + 5*j = -3*x + 25, 0 = j - 4. Solve x = -d, -4*c + 2*d + d = -11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 9:01 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100163\/67 + -1495. Is -1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(2\/3)*l)\/l*l)\/l**(-2\/5))\/(l\/l**(3\/7)*l\/(l**5*l)) assuming l is positive.\nAnswer: l**(892\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/11 + 1034246*y**2\/11 + 133708615686*y\/11 + 133707581442\/11 = 0.\nAnswer: -258561, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -140, -142, -144?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + n = 136, 5*r - 4*n = -9*n + 170. Let p(s) = -4*s**2 - 106*s - 35*s**3 + r*s**3 - 4 + 112*s. Calculate p(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -24.66. Let t = j - -23.66. Let c = t + -24.044. What is c rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 z when four letters picked without replacement from hzaabazzhrzaraaa.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 - (-2 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6919 - 6903. What is the remainder when 4733 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) -6\/11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, i: 6, a: 3}. What is prob of sequence kai?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744aa (base 11) to base 8.\nAnswer: 323577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 36. Let o = 45 - r. Suppose -6*a = -o*a + 76. Round a to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 0.013238951581021.\nAnswer: -0.073238951581021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/3 - 4*h**2 + 8*h - 2. Suppose -3*g + 6 = -5*z, -5*z + 21 = g - 1. What is the units digit of o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 4. Let f be (-54)\/(-8)*(10 + (-3 - 3)). Suppose f*b + 78 = 14*b. What is c(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 47*t**2 - 3*t. Let h(v) = 94*v**2 - 6*v + 1. Let z(n) = -3*h(n) + 7*l(n). Find the second derivative of z(q) wrt q.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*d + 1)*(-3261*d**3 - 2816*d**3 + 605*d**3 + 780*d**3).\nAnswer: -14076*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4 - 5144*g**3 + 12014*g**2 - 8584*g + 1717 = 0. Calculate g.\nAnswer: -1717, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 + 7*i - 9. Let m(a) = -a**2 + 4*a - 3. Give 5*m(r) - 2*x(r).\nAnswer: 3*r**2 + 6*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 10) to base 8.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7104603*a**3 - 2209*a**2 + 413*a wrt a?\nAnswer: 42627618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*d + 1. Let k be ((-1168)\/20 + 2)\/((-4)\/d). Let h = k - -40. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842277 is divided by 11863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(14 - 7))\/((-14)\/70) - -10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15961, 15968, 15989, 16030, 16097?\n\"Answer: g**3 + g**2 - 3*g + 15962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8) + -5*(-8)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -205*a + 196*a. Is a greater than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/15 - 99*f**5\/5 - 397*f**4\/16 - 149*f**3\/12 - 38*f**2 - 4. Factor o(g).\nAnswer: (g - 149)*(4*g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*h + 439*h - 1638*h + 399*h + 404*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7409*q**2 + 30*q - 19. Let a be f(18). Let x be 3\/((-45)\/a) - (-1)\/3. Round x to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -17 - -17 - (0 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + sqrt(2057) + sqrt(2057) + 1 + sqrt(17))**2.\nAnswer: 184*sqrt(17) + 9009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**12*l**(-3\/4))**(-2) assuming l is positive.\nAnswer: l**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 736 and 2645536.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*c = -69*c + 4. Let g(a) = -a + 8. What are the prime factors of g(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000623148 rounded to 6 decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**4 - 63*t**3 + 192*t**2 + 2*t.\nAnswer: 96*t - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 191 in -2.8, -7290, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6 - -2.4. What is the third biggest value in c, 1\/3, 4\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/((-14)\/14))\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2597*o**3 + 30*o**2 + 51.\nAnswer: -15582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t - 1\/4*t**4 - 3\/4*t**3 + 0 + 0*t**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -784004*(1 + 0)*2\/138. Let q = 11362 + s. Find the common denominator of q and -48\/7.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.405.\nAnswer: -4.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from ulhbbhulbuhhll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*u**6 - u**4 - 295*u**2.\nAnswer: -1920*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 3. Let s be y(8). Let k be 0\/((s\/3 - 1)*-3). Solve 3*w - w - 4 = k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (24 - 28) + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/12 - 6*a**2 + 29310*a. Let t = 0 - 0. Calculate u(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 177\/660 + (-2)\/8. Suppose -4*d + 3 = -4*g - 1, 5 = 2*d - g. Suppose 3*a - 5*o = -4*o, 5*a = d*o + 7. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 28*o**2 + 8 - 40*o - 2 + 13*o**2 + 15*o**2 to the form p*o + v + c*o**3 + b*o**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10628398?\nAnswer: 2, 11, 37, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 177646369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 9*p**2 + 26*p - 7. Is o(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -560 + 290. Let b be ((-12)\/u)\/(3\/30). Sort 4\/29, 0.4, b in descending order.\nAnswer: b, 0.4, 4\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - -224. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 - 62*w + 421. Determine j(-23).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (-6 - -13) - 8) + (44 - -56)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 20*h - 13. Let b be (-2)\/(-9) - ((-244)\/36 + 5). Let m be w(b). Solve 4*f - 3*q - m = 0, 5*f + q = 4*q + 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2104*y - 2117*y = 494806000. What is y rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 68*n**3 - n + 51. Let z(l) = 68*l**3 + 53. Let p(a) = 4*g(a) - 6*z(a). What is the derivative of p(u) wrt u?\nAnswer: -408*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**9\/b**(-16) assuming b is positive.\nAnswer: b**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-6 + (3 - 7)). What is the lowest common multiple of (1\/3)\/(o\/72) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1555 (base 9) to base 7.\nAnswer: -3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 5*v**2 - 2*v - 7. What is r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129235306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 1 + 19. Suppose -n + 248 = -3*h - 216, 0 = a*n - h - 1845. Let o = n - 218. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22041, 22221, 22401?\n\"Answer: 180*p + 21861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:45 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689029.\nAnswer: 11, 62639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -476?\nAnswer: -5\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -495, -4, 33, 1, 4.\nAnswer: -495, -11, -4, -2, 1, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14240903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121828, -3, 3, -4, -1, 0.\nAnswer: -4, -3, -1, 0, 3, 121828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 45*z - 18. Is j(7) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(17) + 4 + -2.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbfbbzbczqgbbbbbzbb. Give prob of sequence cf.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 284901 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -106614 bigger than -106556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18288 - 18285. Solve -2*d + 5*l - 13 = -5*d, b*d - 1 = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -15) + (2 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*-82*1\/3. Suppose -f = -95 - s. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*l + 10. Let n = -8 + 22. Suppose 12*k - n*k + 4 = 0. Solve -5*t = k*a - 23, 0*t - 3*t + 17 = -l*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 688.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 0*i + i)*(0 - 4 + 6) - i - 3*i + 2*i - 157 + 3*i + 157 + (4*i + 0*i - 3*i)*(-2 - 1 - 1) + 3 - 3 - 2*i to v + z*i and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*n + 15777 + 13711 = 0, 4 = -2*n. Suppose -x = -4*g + 1743. Let p = g - 18301\/8. Calculate the common denominator of p and 13\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = -5*d - y - 2*y, -108 = -d + 3*y. Let k = 48 - d. Let f = -28 - k. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**2 - 2*z**2 - 7*z**3 + 4*z**2 + 11*z**2 wrt z?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a day in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256301439 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*-1323007.\nAnswer: -74088392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 15 - 3*z - 6*z + 4 - 7. Let f(a) = -6*a + 12. What is -4*f(v) + 5*g(v)?\nAnswer: -v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2257 + -c2?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 22*i**2 + 5*i + 5. Let a be d(-11). Suppose -6*x + a = -3*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.3 (b) 2 (c) -2297\/5 (d) 0.06 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 837960 and 1320?\nAnswer: 9217560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -462 + 462.000451. Round v to 5 dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 671150, 671148, 671138, 671114, 671070, 671000, 670898, 670758?\nAnswer: 670574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25823*y**5 + 25823*y**5 - 4*y**2 + 544*y**6 + 31 wrt y?\nAnswer: 65280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m + 27. Suppose -q + 6*q = -70. Let j(x) = -40*x - 80. Let y(b) = q*z(b) - 5*j(b). What is the derivative of y(h) wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.6 in -0.012, 1\/3, 3\/2, -0.3, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(50\/16)*(-60)\/24. Suppose -d - 5 = v - 7, 0 = -m*v + 4*d + 32. Solve -f + 21 = v*t, 0 = -0*f - 3*f + 3*t - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2732 + 1676 = -4179*a - 4196*a + 8299*a for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58960 is divided by 567.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 45*g + 4 - 4 - 2 + 3.\nAnswer: -45*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*v - 39*v + 3. What is the units digit of (-39)\/(-26)*(-28)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57905559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i - 4*n - 64 = 13*i, 3*i - 8*n = -4*n - 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:26 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:21 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3 - 20*m. Let i(h) = -h**2 + 0*h**2 + 2*h**2. Calculate a(i(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.189 - -0.069. Let u = -37\/124 + 3\/62. Which is the nearest to u? (a) i (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/12 - 5108\/7770)*-720235. Let h = t + 6674. Which is the closest to 0? (a) 3\/7 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0)*(17 - 17 + 2*r) + r - 6*r - r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + -12 - (3 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2257.912*-10\nAnswer: -22579.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20062\/19 in -2, 0, 0.4, 2\/43, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 - 328. Let l = t + 13. Which is the nearest to -2\/5? (a) 2\/19 (b) 10 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290865411.0000074 + -290865458. Let k = -47 - q. Round k to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 3*a**4 + 2*a**4)*(-3 + 5 + 0)*(-4 + 3 + 3).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i. Let l be c(0). Let h(b) be the third derivative of 0*b**4 - 15*b**2 + 0*b**3 + l*b**5 + 0*b + 0 + 0*b**7 + 1\/80*b**6 - 1\/224*b**8. Factor h(f).\nAnswer: -3*f**3*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*x - 1360*x + 2770*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let b(n) = -1826*n**2. What is b(w(h))?\nAnswer: -1826*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88668 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 + -33997524.\nAnswer: -33997524.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:14 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -85, -193, -347, -547, -793?\n\"Answer: -23*f**2 + 7*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1)\/i**(-5\/4))\/(i**(-2\/7))**47)**32)**24 assuming i is positive.\nAnswer: i**(73536\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.55 + -2.55. Let a = -119192678 + 119192676.99999971. Let r = a - k. Round r to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100450\/3850 - (-25)\/(-275)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + 2 + 3*(sqrt(11) - -1*sqrt(11)) + -1*sqrt(11)*5)**2.\nAnswer: 30*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 762865\nAnswer: -2\/762865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 15. Let u(f) = -f**3 + 5*f**2 - 4*f + 5. Let g be u(c). Is (2 + -1)\/((-3)\/g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.444 - -0.444. Which is the third biggest value? (a) 2\/11 (b) n (c) -0.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 1, v: 1, d: 2, r: 1}. What is prob of picking 2 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 150 = -4*m. Let i = m - -13. What is the remainder when i is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtatiatacaa. What is prob of sequence ig?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 49. Let l(t) = -8*t**2 + 8*t + 466. What is -6*l(b) - 57*n(b)?\nAnswer: -9*b**2 + 9*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - j, 4*a - 5*j - 6 = -0. Suppose -a*q + 290 = -150. Calculate the highest common factor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7*c - 4)*(3*c + 3*c**2 - 3*c).\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjq. Give prob of sequence qx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/3 + 1778590*t\/3 - 1778588\/3 = 0.\nAnswer: 1, 889294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 603204 less than 604337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 445 + -1164. Let c = -492 - a. Let n = -113 + c. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22211 (base 4) to base 14.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*z - 3 + 36 = 0, 3*z - 19 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285611 greater than or equal to -0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkkp. What is prob of picking 1 d and 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -13*w**4\/24 - 2*w**2 + 28*w. Let k(f) be the first derivative of h(f). Let m(n) = -3*n. What is m(k(o))?\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/6 - -4 - (2 - 1). Suppose -2\/9*i**2 + 0 + 2\/9*i**3 + 2\/9*i**c - 2\/9*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*u + 168252 + 687097, 0 = 4*k + 3*u - 1710671. What is k rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63662073191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (-18 - -32)) + -16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/848 and 149\/144.\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((3\/63)\/(12\/9)). Let m be c\/(-320) - 2\/(20\/(-2)). Sort m, 3, 4 in increasing order.\nAnswer: m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -361, -1446, -3247, -5758, -8973, -12886, -17491?\n\"Answer: u**3 - 364*u**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91574, -91501, -91378, -91205, -90982, -90709, -90386?\nAnswer: -90013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/49 and -51\/8.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482698 is divided by 481073?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 1)*(-2*a + 3 - 3 + (-1 + 1 + a)*(1 - 1 - 1) + 6*a - a - 3*a) to b*a + v and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**3\/9 - 34*n**2\/3 - 2492*n\/3 - 3712\/9 = 0.\nAnswer: -32, -1\/2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*w + 3 + 13, -5*w = 0. Suppose -t*i - 26 = -2*y, -3 = i - 0. Let k(v) = -8*v + 5. Let l = 0 - -6. Let p(r) = 7*r - 4. Give l*k(z) + y*p(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.53377 - 0.5617. What is y rounded to 4 decimal places?\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:03 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11339 - -7040. Let u = -1642 - q. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4 - -1) + (-155550)\/20. Let i = d + 27996. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16651401 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 2, f: 1, n: 1, s: 1, w: 5}. What is prob of picking 2 t, 1 q, and 1 f?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 317 = 4*j, -250 = -4*k + 2*j + 3*j. Suppose 0 = -69*o + k*o + 12. Suppose -4 - 2 = -o*p. Solve -3*s = -p*n - 0*n + 3, 15 = -5*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose r = -s - 4*z + 11, 4*z = 4*s - 56. Solve -3*d - 24 = 3*t - 0*d, -5*t + 4*d = s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 + d**3 + 5*d**3 + (-1 + 4 - 1)*(3*d**2 + 1 - 1)*(-2*d + 2*d + 2*d) to s*d + k*d**3 + n*d**2 + w and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.3? (a) 0.6641 (b) -4 (c) 11\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513252 is divided by 212?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225) - sqrt(225)*1) + sqrt(225) - sqrt(225)) + sqrt(25))\/(-1*sqrt(320) + sqrt(5)) - (sqrt(2880) - sqrt(2880)*-1)\/(sqrt(36)\/(sqrt(9)*-1)).\nAnswer: 167*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*i**2 + 1703*i**4 - 4*i**3 + 2*i - 3412*i**4 + 1 + 1706*i**4 to the form w*i + v*i**4 + c + b*i**2 + q*i**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/3 + 186*s - 2. Let i be r(0). Is (6\/(-18))\/((-2)\/i) 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 7482?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 20, 3, -15, 4, -2483, 5 in descending order.\nAnswer: 20, 5, 4, 3, -14, -15, -2483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 0, p + 2*c + c = -8. Let h be (10\/(-3))\/5*-3. Sort p, 0, -4, h in decreasing order.\nAnswer: h, 0, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 2*u**2 + u + 2. Let p be t(-2). Let m = -1 + 1. Suppose m = -p*b - b + 13. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7 - 23 = 0. Suppose k*y + 222 = 230. Solve 0 = b - 0 + y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134602037.6 to the nearest 10000.\nAnswer: 134600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 - 14 - 34\/(-38). What is the closest to 4\/13 in 2\/5, c, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552.04 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64956\/16 + 1 + 1. Let g = u + -4087. Calculate the common denominator of g and ((-96)\/(-14) + -3)*1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180436632?\nAnswer: 2, 3, 59, 79, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*10\/(-7)*(-3)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 - 3*y**2 - 3*y - 5. Let t be (-22)\/(-77) - 40\/(-7). Let j(d) = -5*d**3 - 4*d**2 - 4*d - 6. Determine t*p(o) - 5*j(o).\nAnswer: o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {b: 1, t: 3, w: 4, f: 2, h: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g + 5*g + 1 + 53833*g**2 - 53854*g**2 + 3*g in the form h + x*g**2 + d*g and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(133)*1)\/(sqrt(567)*1).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26077210*h**2*n - 87*h**2 - 36250*h wrt n?\nAnswer: -26077210*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 24104.7?\nAnswer: 24104.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(330\/12) + 8364\/(-340).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201768366.\nAnswer: 2, 3, 3607, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47120 and -0.5?\nAnswer: 23560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w + 1. Suppose 0*i - 3*i + 15 = 0. Let s be (-8)\/i*5\/(-2). Suppose -3*f - 4*d - 10 = 0, -3*f + s*d + 4 = -18. Calculate z(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.411 and -83.225479826.\nAnswer: -82.814479826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r + 3*r)*(4*r + 0*r - 3*r) - 160 - 3*r + 2*r - 11*r**2 + 120.\nAnswer: -13*r**2 - r - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3 - (318 + -340)) + (-9 - -12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -272*b**2*u**3 + 952*b**2*u + 66*b*u**2 + 76*u**3 wrt u?\nAnswer: -1632*b**2 + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/16 + 8 - 4. Let t(q) = -q**2 + 7*q - 7. Let w be t(5). Sort x, 4, w in decreasing order.\nAnswer: 4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -447 - 23*c**4 - 468 + 1383 - 463 - 5*c**3 to the form m + x*c**3 + t*c**4 + k*c + r*c**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -2\/3 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 11*p**2 + 40*p - 3. Calculate v(13).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8522 is divided by 2807?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*d - s, 19033 - 19034 = -25*d - s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 9381, -41 in decreasing order.\nAnswer: 9381, -24, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:54 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.067, -1\/4, 4\/7, 3 in decreasing order.\nAnswer: 3, 2, 4\/7, 0.067, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + b - 5*b = 2, -5*x = -4*b + 10. Let y = x - -8. Suppose -y*r + 11 = -11. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*i**2 - 508*i**2 + 2207*i**2 + 2069*i**2.\nAnswer: 3351*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 155?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 959 - -711. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 2*m + m)*(-5482 + 5482 + 4*m**2 - 113*m) to z*m**2 + b*m**3 + q*m + o and give z.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**9\/504 - i**5\/30 + i**3\/3 + 7*i. Let s(o) be the second derivative of t(o). Find the second derivative of s(m) wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2235421968 to the nearest integer?\nAnswer: 47280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3774 and 202415974?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1760 (base 8) to base 3\nAnswer: -1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.27 + -2.1. Let y = -5.4 + 5.13. Let g = y - p. What is g rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = -2*i + 5*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 15. Let d be l(-11). Let z be 5286\/15 + d\/10. Is 22 a factor of (9\/(-6))\/((-12)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285195, 570333, 855471?\nAnswer: 1140609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, -2, -0.0909?\nAnswer: -0.0909","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, 5, -4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v**25\/v)))\/v*v**(-32\/3)*v)\/(v**(3\/22)\/((v*v\/((v\/v**(-8))\/v))\/v)))**20 assuming v is positive.\nAnswer: v**(4090\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4 = -5*b, -20612*y - 76 = -20589*y - 4*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1 - 2*h - 3 - 4. Let d be u(6). Let t = 28 + d. Calculate the greatest common divisor of 56 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 30 = -21. Suppose -4*g - 76 = -0*g - p, -g + 3*p - 19 = 0. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 + 2*v**2 - 4*v + 2. Let s be i(-3). Let d(o) = 29*o + 3. Let q be d(3). Let r = s + q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 175130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4766*t + 42894. What is v(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 p, and 1 k when four letters picked without replacement from ckklpbjpj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 1, -0.0645 in descending order.\nAnswer: 1, -0.0645, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/14*273\/(-130). Let 3\/4*g**2 + r - 33\/4*g = 0. Calculate g.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63381*k**3 - 205395*k wrt k?\nAnswer: 380286*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 5950 = 3200. Calculate the least common multiple of 20 and o.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5759070\/(-20)*66\/(-99) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*l - 22, 4*l = -0*l - 4*i - 8. What is the least common multiple of 56 and l?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*c - 9 = 0, -4*k - 2 = 5*c - 13. Suppose -k*m - 2*n - 5000010 = 0, 0 = -n - 3*n - 20. What is m rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*w + 22 = 0, 4*h - 8 = -w + 3*w. Let c = 0.12 + 4.88. Let x = -2 - 0. What is the nearest to x in -4, c, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/60 - m**4\/6 - 4*m**3\/3 - 2*m**2. Let c be o(6). Suppose -4*d + d = 2*r, c*d = -5*r + 14. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.3, -1\/4, 0.8, -0.7, 32 in descending order.\nAnswer: 32, 0.8, 1\/3, 0.3, -1\/4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:28 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101022193 to the nearest integer?\nAnswer: 10051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 3*s**2 - 45*s + 175.\nAnswer: (s - 5)**2*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -18. Let l = -5 + m. Suppose -8*r = -11*r + l. Solve 5*k - r = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.869 + -8.4\nAnswer: -7.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*k - 2093, 4*c - 6*k - 5616 = -1446. What is the least common multiple of 1160 and c?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 6*p - 9. Let q be g(-6). Let m = -98678 - -98675. Sort q, m, 0.\nAnswer: q, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/90 + 2\/(-5). Let n(i) = i**3 - i**2 + i. Let h be n(1). Let m(v) = v - 2. Let z be m(h). Are y and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + g = 36, -6*z + 3*g + 90 = -3*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418848 is divided by 937.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 793 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 2, y: 1, r: 8, h: 1}. What is prob of sequence yr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205 + -10422?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 93, 128, 177?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655510.\nAnswer: 2, 5, 165551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -12 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*k - 1866 = 0, -4*q + 2*k + 1794 + 1906 = 0. Let i(v) = 2*v - 923 + q. Let p(a) be the third derivative of a**4\/24 + a**2. Determine p(i(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 9. Suppose 23 = -u*k + 71. What is the remainder when 22 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*(-12)\/(-8). Suppose 0 = -2*o - l + 20. Calculate the remainder when 2*-4*(1 + -3) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5))**(-2\/123)*v**(-9)\/v**(-3\/11) assuming v is positive.\nAnswer: v**(-59084\/6765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*x**2 + 985*x + 330.\nAnswer: -5*(x - 66)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35991*p**4 - 33959*p wrt p?\nAnswer: -431892*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12558 + -12553. Solve 4*c = n*c + 5*o - 15, 0 = -2*c + o - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -435 - -434.478. Let l = 0.022 + z. Which is the closest to -0.2? (a) -5 (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (9 + -11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-37)\/148*8\/(-50)*2. Which is the closest to 1? (a) j (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458*b + 2930*b - 980 = 1423*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2472913180 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3129884 and 18.\nAnswer: 28168956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 1051\nAnswer: -525.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*q + 5*q. Let d(n) = -4 + 6 + q - 8 - 2*n. Let o be 1\/(1\/5) - 1. Give d(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1476035.4 to the nearest 1000.\nAnswer: 1476000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35458077 divided by 24303\nAnswer: -1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5721, 4993, 4265, 3537, 2809, 2081?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(84)\/sqrt(112)) + 0 + (sqrt(768)*1)\/sqrt(6)*4)*-1.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5.3. Let y = -0.2 + 0. Let m = 4 + -8. What is the closest to 1\/4 in i, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-2)\/(((-66)\/891)\/(2\/(-18)))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127840306 and 2890?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.405, -2, 10, -5, 1, 2\/11 in ascending order.\nAnswer: -5, -2, 2\/11, 0.405, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-16)\/((-752)\/235).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 77. Let z be 4 + (21\/49 - 18250\/c). Suppose -662 = -2*o + z. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -366, -349, -332, -315, -298, -281?\n\"Answer: 17*o - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**1*y)\/y*y*((y*(y\/y**(5\/3))\/y*y)\/y)\/y*y*y)\/(y**1)**24)**(8\/5))**8 assuming y is positive.\nAnswer: y**(-832\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -5*h - 181545. Suppose 0 = -4*c - 282739 - h. Let b = 201071 + c. What is b rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-24) - (-13064)\/2208.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:09 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/28*(-7)\/(-5)*(-285)\/228?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 430, 388, 318, 214, 70?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-12)*z**3\/z)\/(z**(-25)\/z)**(-1\/3) assuming z is positive.\nAnswer: z**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2*(-2)\/(-12)). Suppose 13 + x = 4*a. Suppose -a*z + 17 = 5. Solve 0*l = z*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -9*h + 4*h. Let a(y) = 2*y - y**3 - h + 8*y**2 - 2*y**2 + 2*y**3. What is the units digit of a(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 603927 = -8*c - 15*c. What are the prime factors of c?\nAnswer: 67103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 10. What is the remainder when 25 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:29 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -32*q - 3. Let s be l(-4). Suppose -118*f = -s*f + 700. Let b be (2*26 - 2)\/2. Calculate the highest common divisor of f and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48043150 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -21112011?\nAnswer: -21112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 74. Let f be -1 - (3 - 0\/(-1)). Let u be (7\/(-3) - f)*9. Calculate the greatest common divisor of a and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1836)*6 + (sqrt(4131) - -1*sqrt(4131)) + sqrt(4131))\/((sqrt(96)\/(sqrt(4) + sqrt(64)))\/(sqrt(1152)*2)))**2.\nAnswer: 971611200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2 - 2)*(-k**3 + 10*k**3 - 2*k**3) + k**5 - 3*k**5 + 0*k**5.\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let k(g) = -6*g + h*g + 3*g - 1 - 6*g. Determine k(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112564 is divided by 119?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f - 15*f + 14170 = -153*f - 33*f for f.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + (3*sqrt(300)*-6 - (-3*sqrt(300) + 2)))*-5)**2.\nAnswer: 562500*sqrt(3) + 42193125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15.03338kg?\nAnswer: 15033380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3728920 divided by -20?\nAnswer: 186446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z**2 - 40*z - 100. Let p(f) = 2*f + 5. Let y(d) = 20*p(d) + s(d). Let u(n) = n + 6. Give y(u(k)).\nAnswer: 12*k**2 + 144*k + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 11*w**2 - 16*w - 1. Let m be r(8). Let d be 18\/m + (40\/7 - 1). Suppose -52 = o - 2*o + 5*y, -2*o + 129 = -d*y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -69*f**2 + 1. Let n(x) = 69*x**2 - 2. Calculate 2*n(s) + 3*u(s).\nAnswer: -69*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9))**26*(z\/(z\/z**(-1\/18))*z)\/(z*((z*z*z**3*z*z)\/z)\/z*z) assuming z is positive.\nAnswer: z**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24199048?\nAnswer: 2, 3024881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 39?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 30.74. Let o = j - -0.06. Let v be (-2)\/(-10) - (-1 + 2). What is the nearest to 0 in 5, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 6*g**2 + g - 2. Let o be y(6). Suppose o*z - 34 - 38 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4258 - -2496. Let h = -1023 - o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 3. Let o(r) = -4*r - 2. Determine -3*k(n) + 4*o(n).\nAnswer: -7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/34820 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9883 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -13. Put q, -0.1, -2\/7 in ascending order.\nAnswer: q, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 8:20 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 44*c**2 - 31. Let i(u) = 43*u**2 - 25. Give 5*i(w) - 4*v(w).\nAnswer: 39*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117130*o**3 - 6*o - 2973 wrt o.\nAnswer: -702780*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -15*o**2 - o. Let f(y) = 28*y. Give f(n(w)).\nAnswer: -420*w**2 - 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.4. Let g = 0.03035 - -1.96965. Sort -0.2, n, g, -2.\nAnswer: -2, -0.2, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 380 + -379.9999719. Round m to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31063 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*(365 - 800*d - 365 - 821*d).\nAnswer: -3242*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, e: 11}. Give prob of picking 2 v and 2 e.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 28. Solve -2*l = -r*w + 16, 2*w = 4*l - 0*l + 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*l + 27140 = 1006*l + 3380 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (56\/42)\/(4\/6). Let k = 3 - 4. Which is the closest to k? (a) -0.5 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/68 and 4224\/(-850) - (-3 - 2).\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let x(v) = -v**2 - 1421*v. What is p(x(u))?\nAnswer: u**2 + 1421*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2635*d + 2672*d + 1184 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 1. Let x(i) = 8*i + 7. Suppose 17 + 13 = 2*j. Let f = -7 + j. Let o = f + -14. Give o*t(r) - x(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2848?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 - 9*v**2 + 129*v - 119. Let o be j(1). Suppose 0*l**2 + 0 + 2\/3*l - 16\/3*l**4 - 4*l**3 - 2*l**o = 0. What is l?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*m + 82*m - 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 12, 3, -12?\n\"Answer: -3*n**2 + 6*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(91)\/sqrt(7) + 3 - 6*3*sqrt(468).\nAnswer: -110*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12144 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1451632\/194415 - (-1)\/30.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 bigger than 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2829*v - 13600 = -3101*v for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 25*j**4\/12 + j**3\/6 + j**2\/2 - 5*j. Is h(-1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201147408 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 1. Let c(x) = -x. Let o(u) = -5*c(u) + j(u). Let k(n) = 1. Let l(f) = 7*f. Let i(y) = -3*k(y) + l(y). Determine -2*i(r) + 5*o(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3398, 1265, -4526, -15805, -34402?\n\"Answer: -305*q**3 + q**2 - q + 3703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 5*l + 15, l - 30 = -2*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = 2*o, -14 = -o - 54*i + 51*i. Solve 2*a - o = j + a, 0 = j - 2*a + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131320 (base 5) to base 15.\nAnswer: -1825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 4) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(2\/15)*t*t)\/t)\/t)**(1\/36)\/((t**(-1)\/t)\/(((t\/(t**(-9)*t))\/t)\/t)))**(19\/6) assuming t is positive.\nAnswer: t**(92663\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58857 and 125216988.\nAnswer: 2559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 22*h + 6*h + 8 + 8 - 17.\nAnswer: -21*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-155)\/(-3348)*-18.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 578*q - 3546. Calculate the remainder when u(7) is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 s, and 1 k when three letters picked without replacement from {s: 2, h: 6, k: 4, o: 3, a: 2}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 168 = -47*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v. Suppose v = 7*q - 4*q - 30. What is the third derivative of -8*c**2 + 193 - q*c**3 - 193 wrt c?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**8\/672 - 3*k**7\/70 + 41*k**6\/120 - 16*k**5\/15 + 29*k**4\/16 - 11*k**3\/6 + k**2 + 17. Factor l(o).\nAnswer: -(o - 1)**4*(o + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-1\/2)))**(-22\/9))**(2\/23)\/((q\/(((q**(-2)*q)\/q)\/q))\/(q\/(q\/q**(-4)*q)*q)*(q**(2\/7))**(-15)) assuming q is positive.\nAnswer: q**(-5536\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767066730?\nAnswer: 2, 5, 11, 13, 1235711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1837, 0, -2\/5, 1316.\nAnswer: -2\/5, 0, 2\/1837, 1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 + 204416*t - 11849400 = 0. What is t?\nAnswer: 58, 102150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 5*c**3 + 0*c**2 - 10*c**3 - 10*c**3 to t*c**3 + d + k*c + n*c**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*z**4 - 62*z**4 - 2*z**4 - 1 - 77*z**4 + (4 - 4 + z)*(3*z**2 - 2*z**3 - 3*z**2).\nAnswer: -188*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, s: 16}. What is prob of sequence scc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 616, 3824, 12192, 28300, 54728, 94056, 148864?\n\"Answer: 430*q**3 + 198*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/(2\/3). Let i = 2 + -1. Sort q, 4, i.\nAnswer: q, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 - 4*b - 2. Let x be k(-2). Let j = 1116 - 1124. What is the units digit of 320\/(-8)*x\/j*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1975 + -1062. Let j = 117 - 34. What is the highest common divisor of g and j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/22)\/(-8 - -7). Let b(a) be the third derivative of -7\/24*a**4 + 0 + 0*a - 6*a**2 - 1\/60*a**5 - p*a**3. Determine b(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 16 = 6*z. What is the second derivative of 0*v**4 - v**z + 2*v**4 + 3*v wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 34. Let q be (l\/15)\/((-4)\/470). Suppose 5 - q = -3*a + 2*s, -2*a - 3*s = -81. What is the highest common factor of 22 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -772, -2971, -6580, -11599, -18028, -25867?\n\"Answer: -705*j**2 - 84*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*f + 2*y - y, 2*y + 46 = 4*f. Let d = 321 + -96. Let p = d + -203. What is the smallest common multiple of p and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -0.5, 116.5, 5 in decreasing order.\nAnswer: 116.5, 5, -1\/10, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -13.4?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -32*v - 73. What is m(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -79?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667386.5mm to micrometers.\nAnswer: 667386500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134226 (base 9) to base 11.\nAnswer: 56535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 501*y - 3 - 500*y + 6 - 3.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 20 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11001 + 23031?\nAnswer: 100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -39*r + 35*r - 2, 3*r = -4*u - 7. Let f be (r\/(-3))\/(-1*4\/(-12)). Are 21\/19 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1008162*j**3 - 218638*j + 1.\nAnswer: -6048972*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324616 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*q + 13. Let j(t) = t + 9. Let n(y) = y + 10. Let x(d) = q*n(d) - 5*j(d). Let p be x(-10). Solve 15 = p*k, 3*k - 7*k + 7 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = -4*y + 24, 2 = 2*y. Suppose -3*f + 3*h = -75, -3*f = -s*h + h - 76. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23958 and 48114?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let p(t) = t**2 - 3*t + 2. Let i(b) = p(b) + 2*y(b). Calculate the lowest common multiple of 3 and i(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 1, g: 1}. What is prob of picking 1 g and 1 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005370692795 to 7 dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - s + 117 + 171 - 388, -5*y - 5*s + 60 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*o**2 + 601*o**2 + 118*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -22. What is the greatest common divisor of r and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**(-5\/2))))\/(g*g**(6\/7)*g))**(-6\/17)*((g**(-2\/5)*g)**20)**(-1\/35) assuming g is positive.\nAnswer: g**(-339\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.195, 0.01, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = 18. Determine i, given that -i**3 + w*i + 5*i**2 - i**4 - 18*i + 5*i = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from iqcicciiccrioccr?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 + 40.9. Let b = -28.8 + k. Round b to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -555434143 - 0?\nAnswer: -555434143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**6\/30 - t**4\/2 + 10*t**2. Find the second derivative of s(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - t**2 - 2*t**4 + 0*t**4 + 5*t**4 + 3 as s + k*t**2 + g*t**4 + m*t + f*t**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:57 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -22. Let r be 5 - (1\/1 + 0). Suppose -4*k - 5 = -0*x - 3*x, 4*x - r*k = 12. Calculate the remainder when n is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/101680 and -89\/661904.\nAnswer: 102595120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 340 = -4*o. Calculate the remainder when 50 is divided by ((-11)\/22)\/(2\/o).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**4\/6 - a. Let d(l) be the third derivative of 0*l + 0*l**3 + 0 + 1\/20*l**5 + 0*l**4 - 4*l**2. Determine d(r(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -395e + -337?\nAnswer: -3c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2640)\/50 - -8)*-10. What is the greatest common divisor of 84 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -5 + 0 + sqrt(1331) + 1 + 6*(sqrt(1331) - -1*sqrt(1331)) + 5)*3*-1)**2.\nAnswer: 12870*sqrt(11) + 2024676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -35 (b) -1 (c) 0 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.53 to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 + 8)) + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -35\/2 (b) -13\/290 (c) -4 (d) 1\/5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2784 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -502291064 divided by -11\nAnswer: 45662824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4*l = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let p(j) be the third derivative of 3*j**7\/560 + j**5\/4 - 14*j**2. Let v(b) be the third derivative of p(b). Calculate v(r(g)).\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.019, -2\/5, -0.3, -7 in decreasing order.\nAnswer: -0.019, -0.3, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6781437 and 156.\nAnswer: 27125748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1985a (base 12) in base 6?\nAnswer: -445354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/15258746 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvfvdidvvdcdydvdii. What is prob of picking 2 v, 1 i, and 1 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*g**3*k - 3*c*g**2*k**2 + 32*c*g**2*k - c - 25*g**3*k**3 + 2*g*k**2 wrt k.\nAnswer: -6*c*g**2 - 150*g**3*k + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -5, -3\/7, 4 in descending order.\nAnswer: 4, 0.02, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n*o*u - 12*n - 55923402*o*u - 86909*u wrt o.\nAnswer: 3*n*u - 55923402*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let z be 40\/18 + (-4)\/18. Let s(x) = -x**2 - 10*x - 7. Let k be s(-9). Let d(g) = g**2 + g**3 - 2*g - 3*g - g**k. Calculate z*d(r) + 5*w(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 + 7*r**3 + 729*r - 651*r - 13*r**3.\nAnswer: 2*r**3 + 78*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 15) in base 4?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqscmqqmqmccsvmmm. Give prob of picking 1 m and 2 c.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 + 2*i - 1. Let g be c(1). Suppose g*y - 289 = 221. Suppose -y = -8*s + 18. Is 11 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110c6 (base 13) in base 11?\nAnswer: -2125a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 1 + -18 + 10 - 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26, 19, 8, -7, -26, -49?\n\"Answer: -2*o**2 - o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, r: 1}. What is prob of sequence wrw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.39 - 44.39. Sort -1, 8, u.\nAnswer: u, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 703*g**2 + 992*g**2 + 720*g**2 to the form j*g**2 + k + x*g and give j.\nAnswer: 2415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 518 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + m. Let b be n(1). Find the second derivative of -19*h + 24*h + 0*h**2 - 4*h**3 + 0*h**b wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let v be 1 + 2 + -1 + 32\/8. Solve -k = 4*c + 20, -3*k - c + g = v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 - 0.71\nAnswer: -4.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:01 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -182 (b) -1 (c) -1\/5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43344*j - 21471*j - 21573*j - 32400 = 0 for j.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + -3*(1*sqrt(6)*2)\/((sqrt(18) + sqrt(36)\/sqrt(2))\/sqrt(6))*2)**2.\nAnswer: -582 - 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.02 * -0.3.\nAnswer: 3.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*z - 209*z + 389*z)*(-4 - 5*z - z + 8).\nAnswer: -360*z**2 + 240*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019657957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)**31)**(-30) assuming m is positive.\nAnswer: m**(-1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -133, -212, -303, -406, -521, -648?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16767419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r - 2. Suppose 0*l - 5 = 3*l + 2*z, 3*l = 3*z + 15. Let f be (3 - 4)\/(l\/(-7)). Is 16 a factor of j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 + 59*u - 2. Let j(y) = 26*y**2 - 294*y + 11. Calculate 11*b(d) + 2*j(d).\nAnswer: -3*d**2 + 61*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -76354345 divided by -4\nAnswer: 76354345\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.4 and 0.02786.\nAnswer: -5.37214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 57. What is q(-15)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124277 (base 9) to base 15.\nAnswer: -174b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 8) in base 4?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9.4, -10.7, 1\/6?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/25)*q**(-24)*q*q)\/((q\/(q*q**(4\/3)))\/(q*q**(-27))) assuming q is positive.\nAnswer: q**(-3506\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in -1\/2, -1, -8.7, 1\/5, 1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9.047716*0.3\nAnswer: -2.7143148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -161*r + 4 + 82 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*l + 2 = -9, -q + 1 = -l. Let p(i) = 2*i + 4. Let d be p(q). Let c(x) = x + 7. Let f be c(-5). Put f, d, -3 in descending order.\nAnswer: f, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 2*c**2 - 2*c**2 + (2 - 2 - 3)*(-3 - 2*c**4 + 3))*(3*c + 2*c - 4*c).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253058673.\nAnswer: 3701, 338573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 1. Let h be i(1). Suppose -4*c + 2*a = -2, 10*c - 15*c = 2*a - 16. Sort -10, h, 3, c in decreasing order.\nAnswer: 3, c, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11416 + 22833\/2. Let -t*a**3 + 0 + 3\/2*a + a**2 = 0. Calculate a.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279183 to the power of 1\/2, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 14*t - 2*h + 124 - 62 = 0, -81 = 3*t - 3*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-6\/7))**31 assuming i is positive.\nAnswer: i**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose 2*a + 66 = 5*s, 0 = -s + 2*s + l*a - 6. Suppose 5*k = k + s. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**11\/(u*u**(-3\/4)*u)*((u\/(u\/(u\/u**(-9))))\/u)**(3\/8) assuming u is positive.\nAnswer: u**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8406 is divided by 210.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -4*y + 185. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:43 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.096? (a) 0.4 (b) -9.5 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 38. Let n be j(20). Which is the third biggest value? (a) 4 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17 and 104.16?\nAnswer: 121.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15b4 (base 13) to base 15\nAnswer: e29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 47, -9, 33 in descending order.\nAnswer: 47, 33, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 + 6 = 0. Let x = -3\/7 + 5\/28. Which is bigger: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58696 and 4147.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 266305.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13727 is divided by 136?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4 and 75\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 2150.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*h + 137*h + 40 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -166, -136, -72, 38, 206?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 2*c)*(-20*c**2 + 2 - 2 - 10*c**2) - 54*c**3 - 9*c**3 + 7*c**3.\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + 63 + -68 - (0 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10660, -10296, -9688, -8836, -7740, -6400?\nAnswer: -4816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 6*b**2 + 17*b + 139. What is f(-7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 71 (c) -0.5 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313222 + 11?\nAnswer: -1313211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*d*m - a*d - 547*a - 35*d*m - m wrt m.\nAnswer: 3*a*d - 35*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(d - 6*d + 4*d) - 14*d - d + 4*d + (-4*d + 2*d + 4*d)*(-5 + 2 + 2).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-10)*t**(-1\/23) assuming t is positive.\nAnswer: t**(-231\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 2. Let k be s(-2). Let g be 3\/k - 2*-1. Sort 3, -3, g in descending order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from zzqzzqqzqzzmxzpxxqq?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + v + 1. Let u(m) = -3*m**3 + 3*m**2 + 3*m + 3. Let k = 90 + -93. Give k*d(t) + u(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(sqrt(5) + -1))**2*2.\nAnswer: -1024*sqrt(5) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100329 = 44*r - 49*r - 2*o, -4*o - 80256 = 4*r. Let q = r + 34210. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k - k - k)*(-k + 1 - 1) + 4 - 4*k**2 - 4)*(113*k - 585*k - 1893*k).\nAnswer: 4730*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 - (3 + 0 - 4). What is the first derivative of 0 + 10*i**4 - h*i**4 + 3 wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 2, 0 in ascending order.\nAnswer: -4, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 3*k - 1. Calculate m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.3665 + 0.1265. Let p = -0.76 + d. Let f = -48.99999977 - p. What is f rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*2\/(-8)*6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxgxggxggxg. What is prob of picking 2 g and 1 x?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**8*f*f\/f**(-6)*f**(1\/2)*f*(f\/f**(-10))\/f assuming f is positive.\nAnswer: f**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 48.89?\nAnswer: 48.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 3*i**2 + 3*i + 1. Let f be (-33)\/15 + (-2)\/(-10). Let w be o(f). Is w != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 10*u**2 + 8. Let i be p(9). Let m = i + 91. Suppose 4*j - 6*j = -m. What is the remainder when 24 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.381 + 28.619. Let z = q - 27. Which is smaller: -12 or z?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -188 + 194. Suppose -15 = 3*f - z*f. Solve -13 = f*y + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 88783883 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 11*d - 3*t - 2*t + 47, 3*t - 89 = 5*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001338049 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2 - q - 1. Let s = -4 + 2. Let c(y) = -37*y**2 + 0*y**3 - 2*y - 2*y**3 + 7 + 34*y**2 - y**3. Let w(a) = s*h(a) - c(a). Calculate w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968850643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14975482 - 3665482. Round x to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 16878*c\/7 + 33764\/7.\nAnswer: -2*(c - 2)*(c + 8441)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4*w + 30, 349 = 8*v - 291 + 560 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 96 + 154 - 119.\nAnswer: -3*k**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j - 22 = 4*z, 0 = -4*j + z - 23. Let h be (-3)\/j*(-1 + 3). Suppose s = 21 - h. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58090 and 51025.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3\/4 + 9*q**2\/4 - 39*q\/4 - 45\/4 = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 5. Let f(n) = -2*n**3 - n + 1. Let d be f(1). Let t be 2 - -2 - (d + 1). Solve t*r + 3 = -u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/((-2)\/(-4)). What is the second derivative of 2*v**3 - 2 + 2 - v - 3*v**m wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122956535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-504)\/156)\/7*702\/(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -220202212 (base 3) to base 15\nAnswer: -553e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -49. Suppose 4*q + 18 = j. Calculate the lowest common multiple of (6\/(-9) - 0)*-3 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = 2*o. Suppose 5*m + 3*d = 161, 2*m = -o*d + 13 + 59. What is the remainder when m is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12178693, 24357397, 36536093, 48714781?\nAnswer: 60893461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 2*x - 73 = -5*k, 7*x - 9*x - x = -3 for k.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0*a**2 + 5*a**2 - 2*a**2) - 3*a**2 - 10 - 13 + 19.\nAnswer: -9*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -37.62, 0.5, 4, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/60 and 103\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.525 greater than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (3510\/(-24))\/13 - -6. What is the closest to 1 in -0.09, -1.5, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -25, 1\/7, -6, 52?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 9412.3\nAnswer: -103535.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2988 by -4.\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 445*u - 13223 + 13223.\nAnswer: -3*u**2 + 445*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 12*x = 40 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 1551.\nAnswer: -1550.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -20, -51, -94, -149, -216, -295?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*c + 27. Let 97*j**3 - 85*j**2 + 79 - 7*j**c - 25*j**4 - 59 = 0. What is j?\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 55 + (-7729656)\/137940?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973120873?\nAnswer: 19, 9931, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 22. Let w be -30*(m + (-352)\/(-20)). What is the common denominator of w\/(-126) + 1\/6*2 and -20\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 + 3*f**2 - 6*f + 1. Let n = -69 + 63. Determine a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1187, 3000, 5363, 8270, 11715, 15692, 20195, 25218?\nAnswer: 30755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/30)\/(8\/((-16560)\/(-1794)))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 13914891.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 46*t - 1. Let v be w(-2). Let h = 56 + v. Let i = -24 - h. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20995267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34511465 + 3\nAnswer: 34511468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67479.\nAnswer: 3, 83, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 5*a, 1 = -2*a + 9. Calculate the greatest common factor of 45 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2439*g - 2443*g - 9 = 0, 0 = 2*j + 2*g + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5\/3 - 5*c**4\/3.\nAnswer: -c**4*(4*c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 4, n: 3}. What is prob of picking 2 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.56053 times -15?\nAnswer: 113.40795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -19460.27 to the nearest one hundred.\nAnswer: -19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*w - 848*w = -126 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + ((sqrt(190) - (sqrt(190) + (sqrt(190) + (sqrt(190) - (sqrt(190) - sqrt(190)*3) - sqrt(190)))*4))\/(sqrt(810)*-5))**2) + 2.\nAnswer: 229\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -187000 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1720401 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 1, g: 3, h: 1, w: 6}. What is prob of sequence wnw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(j + j + 0*j) + 3 - 3 - j - j - 2*j + 0*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 27 = 5*i, 5*p = 5*i + 24 + 6. Sort p, -2, 5, -1 in increasing order.\nAnswer: -2, -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152.324 + 0.324. Which is the nearest to -2? (a) 4\/9 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11528 - -11550. Solve -c = -2*i + 5*l, -3*i - 3*l + l - 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/12922?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(448) + -4 - (3 + -2*sqrt(448))*-2)**2.\nAnswer: -96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0)**17)**(12\/5))**44 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83804*o - 167651*o + 1 + 83828*o.\nAnswer: -19*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.73 and 154887.\nAnswer: 154883.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c9cec (base 16) in base 5?\nAnswer: 3023210414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 3*p**2. Let d be l(-3). Let q(k) = k**3 - k - 1. Let v be q(d). Put 4, 5, v in ascending order.\nAnswer: v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2) - -3)\/((-2)\/4000). What is d rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 424411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*r**3 - r**3 + 5*r**3)*(2*r - 2*r + r**2).\nAnswer: 86*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 2*h - 4*h - 4*h to the form v*h + q and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63\/5 + -13. What is the nearest to f in -0.1, -0.4, -16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1589529, -1589554, -1589589, -1589628, -1589665, -1589694?\n\"Answer: n**3 - 11*n**2 + n - 1589520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - 1 + 1 - 4 + 5*a + 4 + 5*a - 5*a + 5*a + (2*a + 4*a - 5*a)*(2 - 4 + 1) - 3*a + 3*a - a + a + a - 3*a in the form l*a + n and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgkk when four letters picked without replacement from okvktggkgtogv.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -2*o + 106, -137692*y - 2*o = -137680*y + 174 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 smaller than 1001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5190.99981674 + -5191. Round v to six decimal places.\nAnswer: -0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i - 204. What are the prime factors of (-2)\/(-3*2\/i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 388104.7 litres?\nAnswer: 388104700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s - 533. Calculate h(15).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - y - 4)*(5 - 3 - 3) + 0*y - y - 2*y + (3*y + 3*y - 3*y)*(0 - 2 + 1))*(3*y**2 + 7*y**2 - 6*y**2).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10739 + 10739 + 1705*f)*(0*f**4 + 2*f**4 - 7*f**4).\nAnswer: -8525*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(5*12\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 155468 - 155468.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 + 5 + 44330572*u**2.\nAnswer: 44330572*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 89. Let s = -60 + r. Solve -5*t + 18 - s = 2*b, -4*t + 20 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792516 is divided by 1351.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 19. What is the third derivative of -3*r**2 - 2*r**3 + 9*r**3 - 6*r**3 - 3*r**y wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33440*r**3 - 11*r**2 + 66330*r + 224.\nAnswer: 200640*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 0 - (-7 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957152891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36179 greater than 36179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33301 (base 4) to base 10.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -15?\nAnswer: -62\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3*(t**(1\/3)*t*t)\/t*(t**(-1\/3))**(3\/14) assuming t is positive.\nAnswer: t**(179\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10128, 10120, 10110, 10098?\n\"Answer: -u**2 - 5*u + 10134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*g**3*o - 46*g**3 + 3*g**2*o - 95862*g**2 + 3190*g*o + 12*g + 28*o wrt o.\nAnswer: -8*g**3 + 3*g**2 + 3190*g + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144285252149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 3 + 3)*(12 - 449*w + 349*w + 247*w)*(-4*w + 4 - 6 + 2*w).\nAnswer: 588*w**4 + 636*w**3 + 48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 12) + 10 + -15 + -41 - -9?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 13*l - p = -613, -3*l + 5*p = 937. Let k = 632 + l. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.02, -1\/6, 0.01 in increasing order.\nAnswer: -1\/6, -0.02, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4 + 4)*(-3 + 4 - 2) - 2*w - 9*w - 2 + 4*w.\nAnswer: -8*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78\/13)\/(-3))\/(5\/((-75)\/55))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**3\/a)))\/a**6*(a**(1\/5)*a)\/(a*(a*a**(-2\/11))\/a)*(a*a**(-2)*a**6)\/((a\/(a**0\/a))\/a**(-6)) assuming a is positive.\nAnswer: a**(-364\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:26 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2708000 to the nearest 10000.\nAnswer: 2710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 5*d**3 + 7*d**2 - 184152*d**4 + 184157*d**4 - 10*d**2 to k*d**4 + o + j*d**2 + s*d**3 + t*d and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 10*z - 4. Let x be l(-4). Let m be (-9 - -8) + (163 - 0). Find the common denominator of 4\/(-21)*m\/x and -11\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 3*a = 32*s + 88, -32*s - 297 = -12*a + 259 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8*(g\/g**(-2)*g)\/g)\/(g**(-1\/15)*g*g\/(g*(g\/g**10)\/g)) assuming g is positive.\nAnswer: g**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoseeeosoeeeee. What is prob of picking 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24687*x + 68929*x - 14988*x.\nAnswer: 78628*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + -4622?\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8235, -16548, -24883, -33252, -41667, -50140, -58683?\nAnswer: -67308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6001 millennia in months?\nAnswer: 31201.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*w**3 + 121*f*w**2 + 1499*f - w**4 with respect to w.\nAnswer: -6*f*w**2 + 242*f*w - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 75*x - 8728012 = -72*x, 3*x - 4363988 = h. Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 659088 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 793.8418ns?\nAnswer: 0.0007938418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2391549 is divided by 398576?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/14)\/((-205)\/(-410)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 572 and 1728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1143*m - 8181. Let v be h(-8). Which is smaller: 968 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14430970 is divided by 5415.\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -245.2 + 221. Let p = y - -11. Round p to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4502 and 0.454.\nAnswer: 0.9042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + f = -m + 107, 109 = 2*m - f. Suppose -176 = -4*q + 4*b, 2 - m = -q - b. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 9*t + 10. Let k be x(8). Let q = k - 14. Suppose 4*l + 0*l - 2 = -v, q*l - 10 = 3*v. Put l, -2, 3 in descending order.\nAnswer: 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -1\/7, -2\/17, -0.7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, -7, -109, -219, -337, -463, -597?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(126\/48))\/(8\/(-24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/w*w)**(-1\/22)\/((w**6\/w)\/w*(w*w**(-3\/7))\/w)*((w**(-1)\/w)\/(w**(-10)\/w))**(1\/6) assuming w is positive.\nAnswer: w**(-333\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -732, -1233, -1488, -1491, -1236?\n\"Answer: w**3 + 117*w**2 - 859*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, u: 8, s: 1}. What is prob of picking 1 u, 1 s, and 1 r?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llgglllgllllglggllg?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 5 - (-2 + -329) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1542*j - 1990. Let i(h) = -1568*h - 1991. Let p(x) = 5*i(x) - 6*q(x). Differentiate p(v) wrt v.\nAnswer: 1412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*4\/(-280)*-7. Let i = 24 - 23.93. Which is the nearest to p? (a) i (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 544.2841 + 0.2159. Round a to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a*q*z**3 + 2*a*q*z - 4*a*q + a*z**3 + a*z + 3*q*z**3 - q*z**2 - 2*z**3 - z**2 wrt z?\nAnswer: -54*a*q + 6*a + 18*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35410 - -388335\/11. Let g = 107 + t. Which is the closest to 0? (a) g (b) 2\/7 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - n. Let h be a(-1). Let u(w) = 2*w**2 - 3*w - 4. What is the remainder when ((-4)\/(-12))\/(4\/6)*28 is divided by u(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -608*o - 7895. Determine z(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 870 and 3240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6638 (base 9) to base 15\nAnswer: -16b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 205 - 93 + 4*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*p + 2980, 2*p + 1511 = b + p. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 3*o = -112. Let j = -105 + 110. Suppose -o + 12 = -j*t. Are -1\/19 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1159666*b + 2319343. Give l(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 174*z - 479*z + 3*z**2 + 151*z + 152*z.\nAnswer: 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4 + 1682240*r**3 + 176860619872*r**2 - 2122509123840*r + 6367709058624 = 0. Calculate r.\nAnswer: -210286, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-2)\/(-12)*-1). Let w(z) = z**3 + 13*z**2 + 14*z + 6. Let q be w(o). What is the units digit of (q\/(-4))\/((-1)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*sqrt(68))**2.\nAnswer: -80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h - 13*h)*(-1 - 4 + 4)*(-2*h**4 + 1 - 1).\nAnswer: -34*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 13. Let z be (-3)\/9*d + -3. Suppose w = -i + 173, -w + 6*i = z*i - 182. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2233 = -77*p - 1925 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 153076.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-21 + 9*j + 21) + 2*j + 3*j - 4*j - 5*j + 5*j - j + (2 - 2 - 1)*(3*j + 4*j - 6*j).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 498 - 446. Solve -f*d + 46*d = 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -22 + 23\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-173)\/(1862691\/36472) - 2\/(-37)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0084584 rounded to 4 dps?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 9:50 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1499*h - 2238. What is the units digit of x(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 0*h**2 + 0*h + 2\/3*h**3 + 0*h**4 - 4 + 7\/5*h**5. What is the third derivative of p(q) wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158 + -48?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0*y + 3*y + (1 + 1 - 4)*(-1 + 1 - y) + 0*y + 3*y + 0*y)*(0*y**2 + 0*y**2 - 2*y**2).\nAnswer: -16*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*m - 594*m + 175 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 8*l + 5. Let f(y) = y**2 + y - 1. Let g(o) = a(o) + 5*f(o). Let p be -2 - (4 + -7 - (-1 - -4)). What is g(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.63 + 295.37. Which is the biggest value? (a) -0.2 (b) -1\/9 (c) 2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80 - -c?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 871830519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(10\/13)*((s**(-32)*s)\/s)\/s assuming s is positive.\nAnswer: s**(-419\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 2 - 2 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 17 - 61 = 0. Let y be 100\/(-44) + t\/((-8)\/(-6)). Put y, 5, -3 in decreasing order.\nAnswer: 5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 36. Find the second derivative of -2598*m**2 + 56*m - m**3 + 2598*m**2 + 47*m**c + 1 wrt m.\nAnswer: 564*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 15. Suppose -4*m + 5*h = -1 - 10, -3*h + 3 = j. Suppose 2*g - 16 = -2*i, 4*g + 0*i = i + 27. Solve -m*x + 9 = -g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**6\/30 - s**5\/20 + 4*s**4\/3 - 10*s**3\/3 - 75*s. Factor n(f).\nAnswer: -f*(f - 2)**2*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*i + 27*i - 39*i + 6)*(3*i + 0*i - 5*i).\nAnswer: -44*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.334445 rounded to 3 dps?\nAnswer: -1.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 0 + 2940 + -3002\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1255 = -0*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**2 - 10*h - 19. Is 2 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016579366 rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 43\/355, -1\/23, -0.5?\nAnswer: 43\/355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s - 7*s. Suppose -5*i = -k + 20, -2*k = -2*i + 6*i + 16. Solve -4*x - 3*l - 1 = k, 4*x + 2*l = -2 - s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/3*(-4)\/(-7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352894361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*h - 2*t + 5, 5*h = -5*t - 5. Factor 1\/2*n**3 - 3\/2*n - 1 + 0*n**h.\nAnswer: (n - 2)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7752 divided by 34.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 + 2*a**5 + 2791*a**4 + 15*a**2 + 34*a + 2?\nAnswer: -120*a**3 + 120*a**2 + 66984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 2*y**3 + 3*y**2 + (0*y**2 - 2*y**2 + y**2)*(-23*y - y - 3*y).\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(15)\/sqrt(3) + (sqrt(5) + sqrt(5)*-3)*-4)**2.\nAnswer: -72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 3*b**2 + 3. Let k be (-6)\/21 + -19*3\/21. Give i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 175139\nAnswer: -19\/175139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/263?\nAnswer: 6\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g. Let v(t) = -12*t**2 + 3*t + 337. Calculate k(v(i)).\nAnswer: 108*i**2 - 27*i - 3033","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48378 by 108.\nAnswer: -8063\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36890*p + 73833*p = 36881*p + 496 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:47 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13.4 * -15\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 221? (a) -1 (b) -2 (c) 0.4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/12, 1.7, -3 in increasing order.\nAnswer: -3, 1\/12, 0.4, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z + 8*z + 23*z. Let n(c) = -2*c. Let o(u) = 4*u. Let a(t) = -3*n(t) - 2*o(t). Give y(a(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026*h**3 + 0 + 0 - 1033*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4287 + 0.4287. Put h, 0.2, -0.12, -0.5, 0 in descending order.\nAnswer: 0.2, 0, -0.12, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 7*v. Let d(r) = -2*r - 9. Suppose -3*l + 2*u - 7 = 0, -2*u + 15 = -5*l - 2. Let j be d(l). Let h(m) = -m. Determine j*f(q) + 5*h(q).\nAnswer: 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 2 (c) -2\/9 (d) -18262 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5778 divided by -4.\nAnswer: -2889\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7710.4 days?\nAnswer: 666178560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let n = 0.06 - 0.26. Which is the closest to -1\/3? (a) 5 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 27*y = l + 32, -5*l + 21*y - 10*y - 6*y - 15 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 1077, 2507, 4499, 7047?\nAnswer: 10145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -65627 to the nearest 1000.\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/12*2*(-6)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636463882?\nAnswer: 2, 617, 515773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*r + 2. What is the first derivative of 3 + 15*k**r + 10 - 5 wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 8 - 11)*-3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 285547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00263214452 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, -63, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (0 + 16\/1). Let s = -12 - i. Suppose -2*g + 3*q + 25 = 0, -3*g = -2*g + s*q + 5. What is the remainder when 9 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/30*70\/42.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*q + 571426*d - 571431*d, -2*d = 35*q - 35 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-126)\/(-24)))\/(4\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 4739347*t**3.\nAnswer: 4739347*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - v**2 + 3*v**2 + (v + 2*v - v)*(0 + 0 + 2*v) - 3*v - 239*v**2 + 3*v - v**2.\nAnswer: -234*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-14))\/(11\/(-66)). Which is the smallest value? (a) 14 (b) 2 (c) s (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 545 - 268. What is the hundreds digit of 1\/(-6 - -2 - (-1109)\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -489 + 517. Calculate the remainder when 2038 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4161110 to the nearest integer?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4939804859?\nAnswer: 11, 101, 4446269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 50\/4025*23*-140?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -15 (c) -2\/5 (d) -12 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-224)*44 + ((-48)\/(-21) - 2). Solve -2*m + 10 = w, 8*m = 10*m - y*w + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 101*n**4\/2 - 213*n - 129. Differentiate y(l) with respect to l.\nAnswer: 606*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*z - 15, -5*z = 2*h - 4*h - 65. What is the remainder when 16 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - 2*sqrt(99))*2)\/sqrt(9) - (1 + sqrt(99) + (sqrt(704)*1 - sqrt(704))**2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**3 - 2*f + 5. Let q(k) = -31*k**3 + 6*k - 14. What is 6*q(i) + 17*r(i)?\nAnswer: -16*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12840 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/27305 and 3\/371348.\nAnswer: 1856740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*o = -1621 + 1984 - 4917 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 1\/3*g**3 - 10*g + 1\/12*g**4 - 2*g**2 + 0. Give l(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 21*r + 19. Let g be p(8). What is the greatest common factor of g and 1161?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13077 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/15 - (-31)\/(-1705)*-22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49671 + 16671. Round c to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 10*r + 2. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5405.499ng in micrograms?\nAnswer: 5.405499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 18*v**2 + 29*v - 19. What is the remainder when a(18) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 8*v + 6. Let f be d(7). Let o = -15 + f. Let i be (12\/o)\/(-2 - -1). Solve 3 - i = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 + -3. Let d = -3.49 + 3.59. Which is the nearest to d? (a) j (b) -4 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 80*f. Let l(i) = -9*i - 8. Calculate a(l(o)).\nAnswer: -720*o - 640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0435942438 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 - 54*n - 52. Let w(p) = -7*p**2 + 53*p + 50. Let l(r) = 6*f(r) + 7*w(r). Differentiate l(q) wrt q.\nAnswer: -2*q + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-368)\/(-3864))\/((-2)\/14))\/(11\/18)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.547684l?\nAnswer: 1547.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let k(z) be the second derivative of -26*z**3\/3 - z + 11. What is q(k(f))?\nAnswer: 5408*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 386766259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 220\/(-35) - (-10)\/(60\/(-54))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -10*u + 62. Let o(k) = k**2. Let a be o(1). Calculate the highest common factor of u and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141841700 divided by -1540?\nAnswer: 92105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -792197.3 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -269.0909 + -0.1091. Let i = f + 269. Let m = 1 - 3. What is the third smallest value in 0.2, m, i, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 10) to base 16.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 27*x + 675. Does 27 divide r(38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/15 of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3510*w**2 - 246*w**3 + 3514*w**2 - 10537*w**2 + 3513*w**2.\nAnswer: -246*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1598, 3223, 4860, 6515, 8194, 9903, 11648, 13435?\nAnswer: 15270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 20*f - 21. Let p be u(21). Sort 1, 30, p, -3 in ascending order.\nAnswer: -3, p, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 - -250. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003.297 weeks in hours?\nAnswer: 336553.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9*108\/8. Find the third derivative of -6*d**5 + b*d - 3*d**2 - 9*d - 3*d**2 wrt d.\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098.8 < -159955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 314284513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6029*l + 196691 = -345919 for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89b8 - 5b6?\nAnswer: -9190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167559 and 10507.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulfklzzuuuz. Give prob of sequence fz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 5*k**2 + 5*k**2)*(-2*k**2 + 135*k**2 + 0*k**2 + 1 - k**2 - 1 + (3*k - 2*k - 2*k)*(-2*k - 3 + 3)).\nAnswer: 670*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.63419 to one decimal place.\nAnswer: 135.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/19)*y)**4\/(y\/((y**(1\/42)\/y)\/y))**(-10) assuming y is positive.\nAnswer: y**(13219\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 - 9*d - 6. Let w be s(-7). Suppose -70*v + 66*v + w = 0. Solve -v*o**2 - 2*o**3 + 4\/7 + 2\/7*o**4 + 2\/7*o + 4\/7*o**5 = 0 for o.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/124)\/((-27)\/(-24)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/12 + a**3\/2 + 2*a. Let g be z(2). Let n(l) = -2*l + 2. What is n(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from evcvxlxgg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l. Let w(j) = 5*j. Let p(h) = 6*u(h) + 17*w(h). Let f be p(5). Suppose 4*d = -4*s + 1 + 15, -2*s + 14 = f*d. Solve s*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -43. Let v = 11.9742 + 0.0258. Let h be (-4)\/6*3\/(-5). What is the third biggest value in h, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 36. Let v be m(26). Let z = v + 69. Suppose -z*s = -0*s - 630. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58860768 to the nearest integer?\nAnswer: 7672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 15) in base 12?\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and -1101?\nAnswer: 1101.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 4. Calculate the least common multiple of g(6) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + i + 6. Let c be g(0). Suppose c*u - 2*u - 88 = 0. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.018 and 16.716.\nAnswer: -0.300888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y**3 + 7*y**2 + 9*y + 113. What are the prime factors of s(8)?\nAnswer: 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 - 9*v**2 + 7*v + 1. Let h(d) = 5*d**3 - 8*d**2 + 6*d. Let w(u) = 3*h(u) - 4*q(u). Is w(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h - 47. Let l(q) = -7*q + 16. Let b(x) = 6*c(x) + 17*l(x). Let o be b(8). Let r be 2 + o\/((-16)\/(-12)). Is r less than or equal to 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -27.\nAnswer: 31\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1930*w**2. Let q(t) = 41*t. Let n(g) = 38*g. Let y(a) = 13*n(a) - 12*q(a). Calculate y(x(u)).\nAnswer: -3860*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064\/13 + 6\/39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 1. Let j(t) = -3*t**3 - 2*t**2 - 7*t - 7. Let w(p) = 3*p**3 + 3*p**2 + 8*p + 8. Let i(r) = -3*j(r) - 2*w(r). Calculate -2*i(b) + 10*v(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 4*p - 4. Let v be q(3). Let a(k) = -k**2 + 3*k + 1. Let n be a(4). Let b = n - v. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922444 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: Simplify -1*(2 + (sqrt(17)*1 - sqrt(17))**2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, w: 1, f: 2}. Give prob of sequence li.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1980 + 1675d?\nAnswer: 181dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.1 - -5149176908.\nAnswer: 5149176924.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exz when three letters picked without replacement from zwewwexxwxxewwx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -18. What is the nearest to j in 0.1, 1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256730124 divided by 80682.\nAnswer: -3182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19197173477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 11*y - 6. Let s(q) = 2 - q**2 + 4*q + 2*q**2 - 2*q**2. Give 8*s(l) + 3*z(l).\nAnswer: l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 5533902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + 0.29. Let l = -4.78 - b. Is l > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 13*t**2 - 9*t - 13. Suppose -6*m + m = 120. Let i be m\/(-7)*77\/22. Is 13 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Let k = -558 + 162. Let p = k - -396.2. Which is the second biggest value? (a) p (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9548887\/580866 - 3\/8801. Let o = -168\/11 - g. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -332 - -146?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474.5217 grams to nanograms.\nAnswer: 474521700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 2 + 2)*(4 + 1 - 3)*(399*v**2 + 141*v**2 + 366*v**2 - 248*v**2).\nAnswer: 2632*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*i - 25 + 56, -3*i = 2*f + 17 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vge when three letters picked without replacement from rgvggrevvgveevvgggvr.\nAnswer: 49\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)\/j*j*j*j\/((j**(-1\/20)*j*j)\/j) assuming j is positive.\nAnswer: j**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 51 - 45*m**2 + 46 - 97.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 269913.9 millilitres in litres?\nAnswer: 269.9139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6074*v + 6272*v + 1782 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*l - 34*l + 1232. Let p be (-4)\/22 - -1*(-16)\/l. Let h(c) = c**3 + 8*c**2 + 2*c - 4. Let m be h(-8). Do p and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4487 less than or equal to -3843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4818 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z + 21. Let u be f(5). Let t = 0 + u. List the prime factors of t.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/15)\/(1\/(-3)). Let c = m + -3\/5. Suppose -5*w - 2 = z, 1 + 3 = -2*z - 3*w. Sort -0.5, c, z in increasing order.\nAnswer: z, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 4093.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44392 + 78253. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -19 (b) -2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-33) + (-75)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + -1430?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -1108 + 1117 + (-26 - 1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2223182920 greater than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 + 7*q**4\/12 - 7*q**3\/3 + 1247*q**2. Give a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -8, -29, -70, -137?\n\"Answer: -c**3 - c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -95\/37604?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 34. Calculate o(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.149 - 0.349. Which is the nearest to -10? (a) 1 (b) 5\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b. Suppose -4*k + 48 = -0*k. Suppose 4 = 16*m - k*m. What is the nearest to b in m, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 114. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -125, -0.7, -2\/33, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 965 + -964.9. Let m = 0.1849 - y. Round m to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 45*t**4\/4 - 92*t + 180. What is the first derivative of m(d) wrt d?\nAnswer: 135*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 79, 124, 167, 208, 247?\n\"Answer: -m**2 + 48*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 110111111000?\nAnswer: -110111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 - 23\/2*n + 5\/2*n**2.\nAnswer: (n - 1)*(5*n - 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1913*o + 45793 = 2689*o - 29479 for o.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1151 + 57267?\nAnswer: 60440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1778*n**2 - 3554*n + 7. What is l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1123.296 + 0.413.\nAnswer: 1123.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 3804.05700567?\nAnswer: -3803.55700567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 2*t**2 - 4*t + 4. Let l be h(3). Let q(z) = z**3 + z**2 - 3*z - 1. Let a be q(-2). What is the greatest common divisor of l and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x + 14*x - 5*x**2 + 7*x**2 + 16 + 4*x**2. Let q(o) = 2*o + 10. Let t be q(-6). Let m(c) = c**2 + 3. What is t*y(v) + 11*m(v)?\nAnswer: -v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 16\/(-6)) + (-7)\/(-21). Solve -2*i + 2 = -o*n, -i = -2*i - 3*n + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.8 + 9. Let k = 5\/4894 - 13543\/3675394. Let m = k + -1468\/12767. Which is the smallest value? (a) g (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13838*c**2 + 485174*c + 1 wrt c.\nAnswer: 27676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/20 - 5\/(-300)*-6. Calculate the remainder when 6\/15 - (83\/(-5) - m) is divided by ((-16)\/10)\/((-1)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((2 + 0)\/2). Let h(x) = -x**3 + 2. Let n be h(g). Suppose 27 = -n*r + 7*r - 2*w, 5*w + 30 = 5*r. What is the nearest to -0.1 in 2\/7, r, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 8*b - 15. Let h be v(10). Let p be (-127)\/2 + h\/(-10). Let y = p - -66. Solve -5 = -3*r + 2*t, -y*r - 3*t = -t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/24 - (-1)\/(-4). Let k(f) be the first derivative of 2 + d*f + 3 + f**2 + 0*f. Let t(v) = v. What is k(t(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490143362.\nAnswer: 2, 245071681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 16617?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 424 = -2*o - 420, -5*o = -5*q - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*v + 14, -3*v + 3 - 12 = z. Suppose 2*f = -f + 12. Solve f*b - 2 = -z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))\/(f*f**(-2\/7)))\/(((f**(-3)\/f)\/f)\/f**(1\/2)) assuming f is positive.\nAnswer: f**(67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 60 = -5*x, -3*k - 7 = 8. Suppose x*r - 3*r = 8. Suppose d - 5 + r = 0. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13983 and 9525.\nAnswer: 44396025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j**2 + 22*j**4 + 1178*j**3 - 9*j**2 - 1179*j**3 + 9 - 2*j as l + a*j**3 + x*j**2 + t*j + p*j**4 and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 97*p**2 + 419*p - 373. Give s(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (-45 + 21 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + 1 + sqrt(2448) + sqrt(2448) + 1)**2.\nAnswer: 192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 - 219. Let p(d) = 2*d**3 - 22*d**2 + 5. Let h be p(11). Solve -4*r = 5*v - 40, 0 = -k*v - h*r + 21 + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 11*f - 35 = 0, -3*y - 850*f + 828*f - 9 = -17*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -229*o - 9. What is the tens digit of u(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-4)\/6 + 8\/(-24) - -4 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 482969152*a**4 + 2*a**2 - 56288952 wrt a.\nAnswer: 11591259648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*p - 5, -t = -24*p + 23*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 5*o**3 + 30*o**3 + 4*o**3.\nAnswer: 31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 54 = s, 2*s + 102 - 21 = -3*f. Let y = f - -24. Let g(z) = z**3 + 4*z**2 + 3. Let t be g(-4). Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -9, 5, 0.234?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**4 + 4*q - 2*q**2 + 113474 - 113473 + q**4 - 2*q**2 + 5*q**2 as w + x*q + f*q**3 + d*q**4 + l*q**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1109703*b**2 + 2*b - 93030.\nAnswer: 2219406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2315.673 + -2312. Let n = k - -0.457. Round n to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21753?\nAnswer: 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**7\/7980 + t**6\/3420 - t**5\/570 - 13*t**3 + 35. Let a(i) be the third derivative of g(i). Determine k, given that a(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*3.47.\nAnswer: -0.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 12*s + 1. Let i(x) = 6*x**2 + 115*x - 9. Calculate i(d) + 7*u(d).\nAnswer: -d**2 + 31*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 12*g. Let r(d) = -d**2 - 4*d + 7. Let c be r(-5). Suppose 2*a = a + 4. Solve -c*k - a + 0 = g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -0.0534. Round k to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14*t**3 + 15*t**2 - 17*t + 4. Let r(q) = -5*q**3 - 5*q**2 + 6*q - 1. Let o(s) = -6*n(s) - 17*r(s). Let y be o(5). Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-27)*1)\/(15\/45))\/3\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*f + 1 + 3, 3*f + 3*x = 3. Suppose -y + 576 = 5*h - f*h, 0 = -4*y + 3*h + 2281. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19321 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -1, -2, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-378)\/(-15) - 22 - (-76)\/(-95).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.86542 - -3.86316. Let t = y - -9. Round t to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/2*(-27)\/(-12). Let l be -2 - (0 - 2) - f. Let b be -3*1*(-6)\/l. Solve n = b*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10415 divided by 2.\nAnswer: -10415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u + 2*p - 144, -54 = -2*u + p. Suppose 4*x + 32 = -s, -4*x = s + x + u. Let k = 48 + s. Solve k*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(1\/2036*2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -928*b**2 - 2*b - 1. Let q be f(-1). What is the common denominator of (-891)\/(-240) + 4\/(-10) and q\/(-12)*2\/15?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times 358.92?\nAnswer: 861.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.2 to the nearest integer.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8258, 16487, 24692, 32861, 40982, 49043, 57032?\nAnswer: 64937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3575, -7059, -10447, -13739, -16935?\n\"Answer: 48*g**2 - 3628*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i - 6. Let c be g(-5). Let h be 4\/c + (-60)\/14. Let u(b) = 114*b + 1 - 79*b - b**2 - 39*b. What is u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 1280?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:04 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-154))\/(105\/231).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21965 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 199*y**5\/5 + 84*y - 57. Differentiate b(c) with respect to c.\nAnswer: 796*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 0)*1\/(-2). Let j be ((-36)\/8)\/(-3) + (-7)\/w. Solve -j*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 935707682?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 12*y**2 + 13*y + 2. Let x be o(13). Determine g so that -4*g + 2*g**2 + 2*g + 0*g**2 - 3*g**x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -37*h + 33*h - 309, 2 = -2*h for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-19) - 4408\/722)*(-2)\/34\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/45 and 103\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (70\/15)\/((-2)\/3). Let h(p) = p**3 + 7*p**2 - 4*p + 7. Let q be h(u). Is (-6)\/21 - (-14675)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 7. Let w be d(4). Suppose -8*v = -6*v - 20. Suppose -5 - v = -w*j. Sort -3, j, 8 in decreasing order.\nAnswer: 8, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1118 or -88233\/79?\nAnswer: -88233\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -34. Calculate the remainder when 82 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13101 is divided by 1454?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-990)\/(-352))*4\/(672\/(-18))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 95664 + 6200 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (14 + -4 + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 + -5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, -0.1, -164.6?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 258 - 206. Suppose -p - 2*p + 6 = 0. Suppose -p*l = -4*l + d. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 184, 415, 650, 889, 1132, 1379?\n\"Answer: 2*p**2 + 225*p - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16424426779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-96) - (124\/(-6) - -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.5 + -13.4. Put 0.27, w, -1 in decreasing order.\nAnswer: 0.27, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 9*s - 6. Let z be k(5). Calculate the highest common divisor of 49 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 25*p**3 + 0*p**3.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5613 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2 - 15 + 17*q - 3*q**2 - 1 - q**2 - 29*q = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-30) - (-3)\/(-15). Let f(k) = k**2 + 1 + 5 - 11*k + i + 3*k. Give f(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -49*r - 99 + 12*r + 353 + 11*r. What is the hundreds digit of m(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -2, -1, 10, -0.3, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (17 - (-10 + 8 + (-28 - -21)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 367*o**2 - 4908*o - 12102. Determine p(380).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 74*j**3 + 7*j**2 + 57*j + 7. Let f(q) = -24*q**3 - 2*q**2 - 19*q - 2. What is 7*f(c) + 2*i(c)?\nAnswer: -20*c**3 - 19*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.6 + -8. Let r = s + -0.2. Let h = -0.579 + 0.779. Put r, h, -0.6 in decreasing order.\nAnswer: r, h, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuuj when four letters picked without replacement from {j: 1, w: 1, b: 1, q: 5, x: 1, u: 4}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3157?\nAnswer: 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*d - 8 = 2*f, 3*f = -2*d + 2. Let r = f - 2. Solve r*k = -4*c + 12 - 2, -4*c + 2*k = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yetttreeereeyttyey. Give prob of picking 1 e and 3 t.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -24*k + 2. Let r = 1.5 - -0.5. What is the biggest value in k, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 - (-32)\/18. Let m(b) = 3495579*b - 1 - 3495450*b + 6. Is m(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.23717 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4) + -1)*(-6 - 30). Let y be (-12)\/(-2 - 1)*9\/a. Factor 0 - 1\/7*i**y + 1\/7*i.\nAnswer: -i*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.480344 and -2.009.\nAnswer: -13.489344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56088, -224353, -504796, -897417, -1402216, -2019193?\nAnswer: -2748348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1736571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + -4 + (-109 - -116).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 + 7*z - 23. Let i(v) = -2*v**2 + 5*v - 15. Give -7*i(x) + 5*r(x).\nAnswer: -x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-1 - -1 - -19). Let f(x) = 0 + 2 + k*x + 4. Let s be f(5). Calculate the greatest common factor of s and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*x - 56. Suppose -2*m + 6*m = x. Let l(b) = 2*b**2 - m*b**2 + 10*b**2. Let v(s) = -s**2. Give v(l(k)).\nAnswer: -49*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(156)*5 - sqrt(156))\/sqrt(12) + ((-2*sqrt(52))\/sqrt(4) + (sqrt(13) - (sqrt(13) + sqrt(13) + -2)*1))**2.\nAnswer: 4*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 321635 + 0.4\nAnswer: 321635.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 2*m - 1. Let o(v) = -v**2 + 5*v + 4. Let q be o(6). Give j(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 117 + 162)*(0*d**3 + d**3 - 4*d**3 + (3 + 0 - 2)*(-6*d**3 + d**3 + 3*d**3) + 4*d**3 - 2*d**3 - 4*d**3).\nAnswer: -1778*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 344 = -47*v - 92 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 649 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -12 + 2 + 45 + -66 + 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 3*z - 7*z + (-3 + 0 + 2)*(0*z - 3*z + z) - 304*z - 331*z + 1751 + 636*z to f + g*z and give f.\nAnswer: 1751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689266 - k**2 - 689267 - 466*k + 77*k.\nAnswer: -k**2 - 389*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*t + 2*t + 2*t - 9*j, -56*j - 57*j + 2 = -112*j for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 9*a**2 + 4. Let n be 18*2\/8*2. Let l be o(n). Solve 0 = 4*t - l - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 15, 2, 24, 26, 0, 1 in increasing order.\nAnswer: -8, 0, 1, 2, 15, 24, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 3:42 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078)*-3)\/(sqrt(11) + (sqrt(275) - sqrt(275)*-3)) + ((sqrt(768)\/sqrt(4))\/sqrt(6) - ((sqrt(40) + sqrt(160)\/sqrt(4))\/sqrt(5))\/sqrt(4)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*k + 1, 8 = -2008*v + 2007*v - 3*k for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s. Let i = -13 + 19. Suppose 22 = -4*u + i*u. Let t(b) = -2*b. Calculate u*t(a) - 4*z(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -3) + -786*14. Round p to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*y = 0. Suppose y = 4*o - 3 - 5, 82 = 4*k + o. 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: b\"What is the qth term of -92689, -185379, -278069, -370759?\n\"Answer: -92690*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 271763 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2862 + 2357. Which is bigger: a or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-3))\/((-580)\/127368). Put w, 2, 2\/11, -5, 0 in decreasing order.\nAnswer: w, 2, 2\/11, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -12. Let r = l + -3. Let h be (-4 + (-45)\/r)*38. Is h at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.953 in -415, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-27*r**2 + 20*r**2 - 17*r**2 + r).\nAnswer: -48*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -4*t + 2, 7*l = t - 0*t - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28195378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 3d (base 16) in base 3?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1 + 31 = 0. Suppose 0 = 2*d + 5*g + 309990, -2*d + 4*g - s*g = 309996. Round d to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7601952 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 421243820*x - 138230376 wrt x?\nAnswer: 421243820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*z**3 - 618*z**3 - 591*z**3 - 28*z**3 - 430*z**3.\nAnswer: -1401*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 8. Find the third derivative of -o*l**3 - 3 - l**3 + 3 - 3*l**2 wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(23\/2)\/m)))\/((m*m*(m**(4\/17)\/m)\/m)\/m)*m**(-35)*m**(-6\/7))**(3\/17) assuming m is positive.\nAnswer: m**(-17559\/4046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*c**2 - 427*c**2 + 5*c**3 + 2*c**3 + 788*c**2.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.71 (b) 4 (c) -2 (d) -16105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4 - 3 + 1 + 3*f. Let y(b) = -b + 2. Let w(t) = -2*t**2 + 12*t - 7. Let l be w(6). Let n(x) = l*y(x) - 2*a(x). Determine n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2831 divide 79140065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1158 + -600. Suppose -3*w - 518 = -4*w + 4*h, 4*h - i = -w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 1649922.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 + (-1737)\/(-27) - (-3)\/(-9) is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 53*c + 17 = 56*c, 2*u + 5*c = 10. Let v be (2 + 1 + -1)\/(-3). Sort u, 0.3, v.\nAnswer: u, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 19 = -5*s + 54, s - 18 = -3*j. Suppose j*c - 20 = 220. Suppose -c*w = -50*w. Solve w = -3*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -4 (c) 0.2 (d) -1 (e) -0.0202 (f) -176\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52536 less than 52535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -123, -187, -253, -321?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/243 - 2\/27. Suppose 2*h + 7*a - 6*a - 199 = b, a - 505 = -5*h. What is the highest common factor of 170 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758744556 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -48, -2, -23, -17, 7 in increasing order.\nAnswer: -48, -23, -17, -2, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 52 + 3 + 49 - 2*p**3 - 6.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.02 - -549.02. Which is the third smallest value? (a) r (b) -4\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kktl when four letters picked without replacement from {v: 1, c: 2, t: 2, l: 1, k: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1004, 1946, 2888?\nAnswer: 3830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8523 less than -8523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(5*(-1560)\/800)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5439 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 t when four letters picked without replacement from {w: 1, v: 2, a: 10, t: 7}.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -g + 27, 118 = 5*g + u + 25. Calculate the greatest common divisor of 288 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4869 - -4894. Sort 2\/3, 0.1, c, 14, -1\/4 in decreasing order.\nAnswer: c, 14, 2\/3, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25256 and 5544?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 - 11*u + 8. Let h(b) = -2*b**2 - 22*b**2 - 10*b + 21*b**2 + 9. Let n(p) = -3*h(p) + 2*t(p). What is n(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/5140 and -71\/3084.\nAnswer: 15420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -16*s**2 - 12*s - 6. Let q(n) = 3*n**2 + 2*n + 1. Let g(k) = -6*q(k) - u(k). Let m(y) = -16*y**2 + 17*y. Calculate m(g(x)).\nAnswer: -64*x**4 - 34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*a**4\/5 + 27123*a**3\/5 + 3038616*a**2 - 30158085*a - 7729350 = 0. Calculate a.\nAnswer: -1135, -1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 219387569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1848125 divided by 16.\nAnswer: 1848125\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10126\/7, 20, -4, -3 in ascending order.\nAnswer: -10126\/7, -4, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510, 1020, 1530, 2040?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 24 + 82 = 2*u, 5*u - 230 = -2*l. Suppose x = f + 11, 2*x - f = -3*f + 10. What is the lowest common multiple of x and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162227 and 2223.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 9. Let s be t(-14). Let c(v) be the third derivative of 0*v**4 + 0*v**s + v**2 + 0*v + 1\/6*v**3 - 1\/60*v**6 + 0. Differentiate c(b) wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046*a + 1046*a + 0*a**2 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705*s**2 - 3*s**3 - 705*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 a factor of 10826441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5. Let q be g(0). Let u be -2 - (-5 - -4 - 3). Suppose 5*v + 33 = u*k, -4 - 1 = -q*k - 3*v. Solve k = 2*b, -3*z + 3*b = -2*z + 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*k + 185975, k + 309985 = -5*f - 2*k. What is f rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79046077 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: Expand (3 - 10 + 12*w + 6)*(-3*w**2 + 0*w + 0*w).\nAnswer: -36*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -33 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(324) - (2*sqrt(324) + sqrt(324))))\/(sqrt(3) + (sqrt(147)\/sqrt(7))\/sqrt(7)).\nAnswer: -11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13053 - 13060. Let b(s) = -4*s + 7. Let a(p) = 9*p - 14. Give r*b(v) - 3*a(v).\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*l + 6146. Let i = l - 42989\/14. Find the common denominator of i and -31\/11.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkq when three letters picked without replacement from {k: 2, x: 2, q: 7, t: 6, r: 1}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -36*n - 10. Let b be s(-18). Suppose -b*a = -642*a + 36. What is the remainder when 133 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o - 3. Let g(f) = f**2 - 10*f + 9. Let u be g(9). Let x = o + u. Sort x, -2, 1 in descending order.\nAnswer: 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4374, 8761, 13148?\nAnswer: 17535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*u**3 + 231*u**3 + 56*u**3 - 22*u**3.\nAnswer: 331*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00247000428 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*z + 13 - 0. Let m = -227\/6 - -38. Which is the second smallest value? (a) z (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 9:46 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4441 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.098 - -5.17294. Let v = -0.3755 + c. Let t = v - -0.3. What is t rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + 204.\nAnswer: 203.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opsxxxxosvsovssos. Give prob of picking 1 v and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 53*c**2 - 91*c - 165. What is the tens digit of g(51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15164258873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 965510 and 9100?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.8 (b) -1\/4 (c) 1776661\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = 0, -i + 2*j = -5*i + 142. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/27)*c**(2\/9)*c)\/(c\/c**0*c**2) assuming c is positive.\nAnswer: c**(-47\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 times -3.7?\nAnswer: 843.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2893 = 45*x - 553. Let i(u) = -44*u**2 + 26*u + 26. Let h(q) be the second derivative of -5*q**4\/12 + q**3\/2 + 3*q**2\/2 - q. Calculate x*h(f) + 6*i(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 118 + 2*o - 122 + 243 to i*o + j*o**2 + x*o**3 + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3552*x**2 - 3*x**5 + x**5 - 3548*x**2 + 2*x - 4*x**4.\nAnswer: -2*x*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 432 or 1297\/3?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -198529 (c) 1 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 - 110001000100011?\nAnswer: -110001001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/13)*k)\/(k\/(k\/k**(-20)))*(((k*k\/k**(-4\/25))\/k)\/k)**(-43) assuming k is positive.\nAnswer: k**(4564\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3\/5 - 231*k**2\/5 - 192*k\/5 + 2736\/5 = 0?\nAnswer: -76, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 6) to base 10.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**4 - 47 + 47 + (4*f**2 - 4*f**2 - 2*f**3)*(2*f - 2*f - 2*f) + f**4 + 2*f - 2*f - f**4 + 4*f**4 - 4*f**4 + 0*f + 2*f**4 + 0*f.\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*f + 28024 = -262*f + 218*f for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:57 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151065 is divided by 87.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109633, -109489, -109235, -108865, -108373, -107753, -106999, -106105?\nAnswer: -105065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2283798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.5 - -0.53?\nAnswer: -27.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 77824.32 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*k**2 + 242*k**2 - 87*k**2 - k**3 + 2*k**3 - 75*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381012 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4901 divided by 211\nAnswer: -4901\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -1\/4 (c) 1\/3 (d) 5 (e) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29487 is divided by 913?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 4*m**3 - 20.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-54)*2*4\/32?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1818, -21805, -76060, -181719, -355918, -615793, -978480, -1461115?\n\"Answer: -2856*y**3 + 2*y**2 - y + 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.403 plus 138?\nAnswer: 138.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 5*l - 2, -4*v + 6827*l = 6826*l - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 20*g**2 + 29*g - 6. Let c(p) = 7*p**2 + 10*p - 2. Let h(b) = 17*c(b) - 6*l(b). Let r be h(0). Which is greater: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 2\/5 (c) 300880 (d) -1\/3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6055*h - 1010*h - 1931*h + 908596 for h.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {d: 1, m: 1, u: 3, q: 1, r: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -460, -37 in increasing order.\nAnswer: -460, -37, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9 + 4.4. Let z = -0.3 - -0.26. Let x = z - 1.96. Which is the biggest value? (a) g (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11547 + 80826\/7. Which is the smallest value? (a) -4 (b) 3 (c) f (d) 264\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -158. Let c = -38 - w. Let r = c + 63. Which is bigger: r or -31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 200*z**3 + 11*z - 8. Let v(k) = 67*k**3 + 4*k - 3. Give 3*d(s) - 8*v(s).\nAnswer: 64*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131 and 20567.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m. Suppose -d + m*d = -6. What is the units digit of (16\/d)\/(2\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a + 2 - 2)*(-3*a + 0*a + a) + 0 + a**2 + 0 + (1 + a - 1)*(-2*a - 2 + 2) + 2*a - 2*a**2 - 2*a.\nAnswer: 41*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -12, 0.33, 498.\nAnswer: -12, -0.2, 0.33, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - ((1 - 1) + 1)) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/472 and -21\/10.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12998172.00081 + 12998104. Let g = -1824 + 1756. Let n = v - g. Round n to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 86832461957.7?\nAnswer: -86832461974.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -19. Let v = 16 + s. What are the prime factors of (v - 0)*(-6 - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)\/(n**(2\/19)*n*n))\/((n*n**6)\/n*n*n*n**5*n*n*n) assuming n is positive.\nAnswer: n**(-325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/24 - 18*j**2. Determine c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*a - 7*i, -1170*i = a - 1173*i + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3750 + 46155?\nAnswer: 42305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 5*i + 8)*(4 - 7 + 5) to f*i + t and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1060 and 16.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1)\/(9\/6). Solve 2*s - 2 = s + q, 0 = -5*s + 2*q - d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**3 + v**2 + 3*v + 2. Let s be a(-2). Suppose -2*q + s = -172. Is 11 a factor of (q\/(-15))\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1400325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2385)\/180 - -16)\/((-4)\/24)\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 44. Let m be (24\/v)\/((-3)\/10). Suppose -m*y + 8 = -4. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/(-210) - 222\/(-315). Which is the biggest value? (a) 10 (b) -0.1 (c) 2\/11 (d) -0.2 (e) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 6 + 8 - n.\nAnswer: 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 20*x = 0. What is the derivative of -56 - 24*o**4 + 10*o**4 + x*o**4 wrt o?\nAnswer: -56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/28 and -93\/22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19534.9 rounded to the nearest 100?\nAnswer: -19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 (base 7) in base 5?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-2 - 1 + 1)*(6*u - 2*u - 3*u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 939\/4 + (-19)\/(-76) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 14*y**2 + y - 20. Calculate p(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-468)*-13 - (-2)\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231277285 to the power of 1\/2, to the nearest integer?\nAnswer: 15208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12627, -12690, -12753, -12816, -12879?\nAnswer: -12942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 2. Let g be c(3). Let d = -35 + 25. Let y be g\/d*(0 - -25). Solve y = 4*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**3 + 7*b + 29. What is the hundreds digit of w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203466 is divided by 2898?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3733265 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - (-57 + 28) - 45) + 24?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 246 and 0.5?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 191435*n - 4 + 8 - 3 - 191436*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -12) + -21 + 6 - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*((sqrt(128) - (-2 + sqrt(128))) + -4))**2 - ((sqrt(12) - sqrt(72)\/sqrt(6))*6)\/((sqrt(12)*-3 - sqrt(12))\/sqrt(2)).\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 2*c - 1. Let v be m(-2). Solve -x - 30 = -v*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0.3. Let k = m - -0.2. Let d = 0.2 - k. What is the third biggest value in -2, d, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 430\/258*(-1)\/((-15)\/126)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 5, 0, 1\/2, -18?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -721 - -724. Let u = 0 - -1. Let n be (1 - 2)*(-1)\/u. Sort i, -2, n in descending order.\nAnswer: i, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -83*c + 923. List the prime factors of q(-82).\nAnswer: 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254 + 254 - 13*h**3)*(16*h - 3*h - 5*h)*(-4*h + 4*h - h) - 3*h**2 - h**5 + 3*h**2.\nAnswer: 103*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(33) + sqrt(363)\/(sqrt(11)*-2))\/(sqrt(3) + sqrt(3) + sqrt(33)\/(sqrt(11) - sqrt(44))).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -64*n**3 - 19060*n**2 + 38564*n - 19216. Let h(t) = -7*t**3 - 2118*t**2 + 4284*t - 2135. Let g(q) = 28*h(q) - 3*u(q). Factor g(w).\nAnswer: -4*(w - 1)**2*(w + 533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 30*d**3 - 8*d**2 - 8. Let r(h) = -20*h**3 + 5*h**2 + 5. Determine -5*i(s) - 8*r(s).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*z = 5*d - 43, -2*d + 3*z + 17 = 0. Suppose -5*y + 2*w + 32 = 0, -2*y - y - 2*w = -16. Calculate the lowest common multiple of y and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 23*d + 23. Let c(s) = -12*s - 12. Let k(t) = -5*c(t) - 3*l(t). Let m be k(4). Let a be 1\/(-5) + (-144)\/m. Put a, -2, -6 in decreasing order.\nAnswer: a, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 8:46 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-576)*4)\/(2*(-2)\/272)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018.2 - -411?\nAnswer: -607.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 11. Give s(-11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {x: 4, o: 2, s: 3, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2*g + 5)*(-641 - 75*g + 641) + 2 + 3*g**2 + g + 2*g**2 - 4*g**2)*(3*g**2 + 0*g**2 - 4*g**2).\nAnswer: 149*g**4 - g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304778.5l to millilitres.\nAnswer: 304778500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y - 19. Suppose 0 = -12*g + 71 + 1. What is the tens digit of r(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4090)\/20 + 42)*26\/(-5) is divided by 91.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.5. Let m = -0.3 - v. Which is the biggest value? (a) -2\/11 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 11*r - 3. What is the remainder when z(-14) is divided by ((-3)\/(-2) - 2)*(0 + -20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -9\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkoookkko. Give prob of picking 2 k.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -19*u + 5. Let x(p) = -27*p + 7. Let v(z) = 7*r(z) - 5*x(z). Let j(o) = 7*o. Determine v(j(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 204 + 244 - 17 + 10 - 687*b wrt b.\nAnswer: -687","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -352, -536, -718?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157 is divided by 77.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1)*(1 + -2). Suppose -5*t = -4*x + 40, -4*t - q = -2*x + 13. Let b = 29 - x. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 3. Let k be a(6). Let t = k + 5. Let u(j) = 10*j + j - 11 - 5*j - j**3 - 7*j**t. Determine u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*n**3 - 59 + 59)*(3 - 5 + 0)*(0*n - 5*n - 5*n) in the form s*n + i*n**2 + r + h*n**3 + z*n**4 and give z.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 74 = -o, 4*r = -139*o + 134*o + 412. Calculate the least common multiple of 128 and o.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 1:40 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-66)*276\/115?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/4 in -3\/7, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91946130 + 91946125.9800269. Let x = 4.02 + r. What is x rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.3 (b) -0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -327*u + 48.\nAnswer: -327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -111, -75, -25, 39, 117?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 11) to base 3\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/((-7920)\/70)*(-16)\/280\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 2*y = -4562, 5*y = -5*v - 1348 - 1907. Let a = v + 710. Calculate the highest common factor of 145 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kykti. Give prob of sequence yitk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k. Let z = k + 2. Suppose 2*t + z*t = -24. Which is smaller: t or -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x**2 - 11*x. Let h(p) = p. Let o(n) = -n. Let z(a) = 5*h(a) + 4*o(a). Let c(q) = 5*f(q) + 30*z(q). What is the second derivative of c(l) wrt l?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 5. Let r(g) = 5*g - 3. Let x(n) = 7*r(n) - 6*y(n). Calculate x(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/13 - 11446*v\/13 = 0.\nAnswer: -5723, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:17 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*c = 2, -2*c + 31 = -3*o + 9. Let g be (o\/(-2) - 6)*1. Let r = g + 3. Is -1\/21 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -238551207 less than -238551206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -29*i + 24*i. Let s = i - -1. Solve 0 = -s*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -229 - -13142?\nAnswer: 12913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-714)\/(-30))\/(1\/185). Let f = -2776 + m. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-2900)\/455) - 2\/(-8). Let j = z - 6\/29. Let j*p**2 + 0 - 1\/5*p = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*x + 70*x + 6346 - 6352 + x**2.\nAnswer: x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9354 - -9378. What is the third smallest value in 6\/25, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkkknkk. Give prob of picking 2 k and 1 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 626c5 (base 13) to base 15\nAnswer: 3765a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99.999902 + 100. What is t rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -4*o. Suppose 0*a = -5*a + 5, o*g - 4*a + 4 = 0. Find v, given that -5 - 60*v**3 - 40*v - 86*v**2 + g - 9*v**2 = 0.\nAnswer: -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 5*h + 24. Suppose -h*x + 212 = -2*x. Find the second derivative of 0*r - 3*r + x*r**2 - 51*r**2 wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 48354016*q. Let r(a) = -2*a. Give u(r(l)).\nAnswer: -96708032*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940355 is divided by 313436?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 273.1 + -273. What is the second biggest value in -2, -3\/5, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 70953 + 70967 = u, 0 = 5*u - 4*x - 52 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 1. Let a be z(-1). Suppose -196 = a*m - 6*m. Round m to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 + 108.08. Let t = q + -2.38. What is t rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b - 31*b = -6*b - 1054. Solve 5*c = 3*t + 9*c, 3*c + b = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 4, p: 1}. Give prob of picking 1 p, 2 k, and 1 g.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 33*c - 45. Let j be q(-25). What is the greatest common factor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101110000010000 (base 2) to base 14.\nAnswer: 24688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6369996643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212223 (base 4) in base 2?\nAnswer: 1100110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 5:27 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 25*s + 16. Let p be n(12). Suppose 12 = p*d - 4*l, -3*l + l = 4*d - 18. Suppose -10 + 2 = -d*x. Solve 3*r = -4 - x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 100662812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**3 + 8*f**3 - 27*f**3)*(4 - 4 - f**2) + 0*f - f**5 + 0*f.\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m - 11139 = -11391 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67712, 135422, 203132, 270842, 338552, 406262?\nAnswer: 473972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/6 + 0 + (-4)\/(-12). Let j(n) be the first derivative of 0*n + 3 - q*n**2 - 2\/3*n**3. Find the second derivative of j(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 6:41 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65326?\nAnswer: 2, 89, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-8\/5)*i)**(2\/91) assuming i is positive.\nAnswer: i**(4\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 1. Let p(b) = -b**3 + 10*b - 5. What is 11*a(s) + 2*p(s)?\nAnswer: -2*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:53 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128527575 to the nearest integer?\nAnswer: 11337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4284 - -4319. Solve -11*n + 4*n - i = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -5821?\nAnswer: -5816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -46467 divided by -3\nAnswer: 15489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 + 138*g**2 - 1008*g + 1952 = 0. Calculate g.\nAnswer: 4, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228 + -18. Let j be 0 + -2 + 1 + 7. Does 28 divide (4\/j)\/(5\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38545 is divided by 384.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 0*g**3 - 3*g**3)*(g**2 - 4*g**2 + 2*g**2) - 3*g**5 - 25*g**2 + 25*g**2 - 24*g**4 + 2 + 24*g**4 - g**5 - g**5 - 2 - 3*g**3 + 2.\nAnswer: -3*g**5 - 3*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 7 + -15 + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d + 10 = 2*k, 4*k = d + 32. Let l(n) = n**2 - 10*n + 14. Let m be l(k). Let b = m - 1. Solve -b*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004759503 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*v + 12, -5*v = 2*p - 5*p + 4. Solve 2 - p = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 3) + -21 + 5 + (15 - 21).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*s + 929 = -1439 - 1350 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23.07517+-0.766\nAnswer: -23.84117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*m + 42. Calculate the greatest common divisor of m and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**3 + 4*d**3 + (0*d**2 + 0*d**2 - d**2)*(0*d + 0*d - d) + 0*d + 0*d + d**3)*(-4*d + 4*d + d).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10916327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 11*l - 14. Let h be t(12). Let w be (14\/(-4) - -1)*h. Solve -2*c + 3 = -w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992\/(-1240) + (-86)\/(-20)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -18. Let p(t) be the first derivative of -14*t**2 - t**3 + 4 + 11*t**2 - 5*t + v*t**2. Find the first derivative of p(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2))**2 + -5 + sqrt(2) + -2*sqrt(2)*4.\nAnswer: -7*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 - -4)*-1)\/((-3)\/4). Suppose 2*x = -3*y + 24, 50 = 3*x - k*y - 20. Calculate the smallest common multiple of 6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**2 - 20*s**2 + 9*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -30.\nAnswer: 11\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25 + 25)\/(-1*1). Suppose b = -t + t - 6*t. Solve 5*l - z + 4*z = -20, 2*l + 5*z + 8 = t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000001110 (base 2) to base 13\nAnswer: 1b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 12 = -9*g. Suppose n - 128 = -2*j, 0*j - g*n + 197 = 3*j. Let x = 121 - j. Does 29 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 6 + 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/2*1 + 3. Let w be ((1 - x) + -6)*-1. Which is greater: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9 = -5*h, -1 = h + 5*p - 16. Suppose -u + 23 = -h*u + 5*q, 3*u = -q + 13. Let r(o) = 2*o**3 + o - 4. Is r(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**2. Let q(z) = -30*z**2 + 2038 + 2033 - 4071. What is q(w(y))?\nAnswer: -2430*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccnnn. What is prob of picking 1 c and 2 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 + 46*m**2\/11 - 86*m\/11 + 42\/11.\nAnswer: -2*(m - 21)*(m - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32696 divided by 536\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 4*g + 4. Let j be v(0). Solve -5*a - 6 - j = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 2*j - 4*j)*((-j - 1 + 1)*(-j**2 + 3*j - 3*j) - 17*j**3 + 5*j**3 - 26*j**3) in the form t*j**2 + u*j + k*j**4 + h*j**3 + l and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let v(h) = -9305*h. Give v(w(k)).\nAnswer: -9305*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 778, 1560, 2342?\nAnswer: 3124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + 0*j)*(55*j**4 - 81*j**4 + 46*j**4).\nAnswer: 40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 83*g - y + 55 + 24, 7*g + 5 = -2*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0*o**4 + 0*o**6 - 6*o**2 + 1\/14*o**3 + 0*o + 0 - 1\/70*o**5 + 1\/490*o**7. Factor n(u).\nAnswer: 3*(u - 1)**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6437\/2240 + -873\/64. Is -18 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctf when three letters picked without replacement from tcfcd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68960097?\nAnswer: 3, 631, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1709*i + 4891 = -557*i + 15796 + 27111 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 434448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 8. Let n be (-2)\/8*(-8)\/s. Let m = -0.3 + 0.6. Sort n, m, -0.2 in descending order.\nAnswer: m, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 17 - 9 = 0, 4*k = -7*j - 38 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -167, -341, -513, -683, -851?\n\"Answer: j**2 - 177*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) 3 (c) 0.1 (d) 0.4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 57*k**2 + 10*k + 10. Let z(l) = -l**3 + 28*l**2 + 6*l + 4. Calculate -3*o(x) + 5*z(x).\nAnswer: x**3 - 31*x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -6*v + v. Let w = v - 13. Let s be (-47)\/w - 12\/(-54). Put 4, 1, s in ascending order.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35, 8, 51?\n\"Answer: 43*u - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**3\/6 - d. Let i be (-8)\/(-28) + 2\/(-7). Let u(l) = -4*l + 2*l + i*l. Give o(u(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43740 - 10.\nAnswer: 43730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 3*v**2 + v + 3. Determine c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:16 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -249700 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 186 = -11*d. Let p = d - -176. Which is smaller: -15 or p?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5039, 3913, 2159, -217, -3209?\n\"Answer: x**3 - 320*x**2 - 173*x + 5531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 6*m**2 - m + 6. Let w(l) = -l + 2. Let k be w(-4). Let f be n(k). Solve -2 = 3*p + d, 3*p + 3*d + 6 = -f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 4*k**2 - 4*k**2)*(-6 + 0 + 2).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + q + 2*q. Let a(x) = 6*x + 41. Suppose -5*z = -y - 27, -74 = 4*y - 5*z - 26. Let f be a(y). Give n(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 8*d + 8*d - 20 + 20.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -0.2. Let l = 1 + 1. Which is the nearest to 0.2? (a) 5 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -4 + 6 - (-816)\/(-24)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 4*f**2 + 3*f - 1. Let a be k(6). Let l = -87 + a. Factor -1\/5*x - 2\/5*x**l + 0 - 1\/5*x**3.\nAnswer: -x*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20748*a = 20738*a + 1042070. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 596, 579, 524, 413, 228?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k + 225. Let f = -9 + k. Let r be (f\/16 - 0)*36. Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**3 - 2*k + 3. Let i(r) = -3*r**3 - r + 2. Suppose -7*o - 21 = -0*o. What is o*t(j) + 4*i(j)?\nAnswer: -3*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 3*l**2 - 10*l**2 - 15*l**2.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-1\/31)\/((((p**(-7)\/p)\/p)\/p)\/(p**1*p))*(p*p*p*p*p**1*p*p*p*p*p)\/p**(-2\/11)*(p**0*p)**(4\/25) assuming p is positive.\nAnswer: p**(190739\/8525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 2*y + 1. Let m be x(1). Suppose -2*q + 5 + 9 = 0. What is the highest common divisor of m and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/30402 and 74\/8445.\nAnswer: 152010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 485 - 480. List the prime factors of (-32224)\/(-36) - i\/45.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7980632\/3 or -2660210?\nAnswer: -7980632\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose -3*p + 27 = s. Let o(g) = -g + 10. What is the remainder when 2 is divided by o(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -322510, -645021, -967542, -1290073, -1612614, -1935165?\n\"Answer: -5*n**2 - 322496*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + 7 + 3 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*f**2*l**3*n**3 - 6*f**2*n**3 - 2*f*l*n**3 + f*l*n**2 + 2*l**3*n**3 - 268*n**3 wrt f.\nAnswer: 164*l**3*n**3 - 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7 - 12*b - 7 + 4 - 4. Let d be w(-3). What is the first derivative of -8*c**2 - 5 + 0*c**2 - 65 + d wrt c?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**3\/3 - p**2 + 48*p - 7. Let w be k(-8). Factor 1\/4*d**3 + 0*d**2 - 1\/4*d + w.\nAnswer: d*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-28)*d**(-4)*d**(-8)*d*d**(-3\/2)*d**(1\/2)\/d*(d**(-1\/4)*d)**(-2\/21) assuming d is positive.\nAnswer: d**(601\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2*r*r)\/r*r)**(-1\/6)\/(r**2)**(-15) assuming r is positive.\nAnswer: r**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 3. What is the remainder when 24 is divided by r(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 103 + 13*c - 17 + 4*c + 10*c.\nAnswer: -4*c**2 + 27*c + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15, 3*n - 5*d = 2*n + 35. Let y(k) = 5*k + 3*k - n*k + 3*k. Let h(m) be the third derivative of m**4\/8 + m**2. Determine h(y(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-2)\/(-1))*-2)\/((-214)\/(-2354)*-539)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49195 = 6*u + 8569. Let f = u + -17117. Is f\/(-21) - (-3)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let v be (1 + f)\/(42\/4). Suppose 3*w + 2*i = -16, 0 = -w + i - 2 + 5. Which is the second smallest value? (a) 1 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4 + 102*o**3 + 396*o**2 - 130680*o = 0?\nAnswer: -66, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 50 = 4. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 182 = 39*f + 30 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22645 by 1853.\nAnswer: 22645\/1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w - 4. Let j(v) = 1. What is i(z) + 4*j(z)?\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 14 + 2. Suppose b*j = -j + 15. Suppose -j*z + z - 5600 = 0. What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111 (base 3) in base 15?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1411 - 15854?\nAnswer: -14443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 9*r**2 + 6*r + 13. What are the prime factors of b(9)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2820223, 11280906, 25382045, 45123640?\nAnswer: 70505691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - (-162)\/8. Suppose 16 = 5*p - 79. Suppose -n - 4*z + k = 0, z = 4*n - p - 27. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53136 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*g*h**3*v**2 + 4*g*h**3*v + 105*g*h**3 - g*h**2*v + 13*g*h*v**2 + 2*g*v**2 + 5*g - h**2*v**2 wrt h?\nAnswer: -102*g*v**2 + 24*g*v + 630*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5 + 428*q**4 + 1952*q**3 + 2768*q**2 + 1104*q = 0.\nAnswer: -138, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 139.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2472803*-0.2\nAnswer: 494560.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 43295*x - 5008749. What is s(116)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyayefwfi. What is prob of sequence aw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/12510 and -19\/160899450?\nAnswer: 482698350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = p - 5 - 3, 3*p = 5*q + 14. Let x(r) = 3*r**2 - 1. Let i be x(q). Let v(j) = -j**i - 4 + 4. Let m(n) = -2*n. What is v(m(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/((-2)\/(-1352)). Suppose -5*d = -k - 82. What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 70*j**2 + 72*j - 5. What is b(-36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(2\/(-120)). Suppose 2 + 3*a**3 - 8*a**3 - 14*a + l*a**2 - 13*a**3 = 0. What is a?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241405 = -3513*r - 134485 + 63233 for r.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4294 and 63961277.\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593747.\nAnswer: 7, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 240. Let f(d) = d - 40. Let p(r) = 6*f(r) - x(r). Let m(b) = -963*b. Give p(m(j)).\nAnswer: -3852*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191906 is divided by 509.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2 + 5\/15 + -1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5922 + 5936. Solve 14 = 4*a + 3*f, -5*a = -7*a - 5*f + n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.4 + -5.28. Round r to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 5, n: 2, d: 1, b: 7, g: 1}. What is prob of picking 1 e, 1 g, and 1 d?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - -0.900041. What is k rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16509a (base 11) in base 14?\nAnswer: 69257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*g - 15356, 4*g + 5*l + 7686 = 19981. Suppose 0 = 13*m - g - 1805. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -58*n - 1162. Let w be s(-20). Suppose 27 = 5*g + 4*o, 0*g - 2*g + 18 = 4*o. Sort -1, g, w.\nAnswer: w, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 5*f + 19, 0 = 5*l - 2*f - 29. Let m = 113 - 113.2. Sort l, 0.1, m, 0.\nAnswer: m, 0, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2 - x**3 + 2*x**3 + 5 - 1. Let n be 0*-2*(-1)\/(-2). What is the least common multiple of 18 and o(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -768 - 328 - 53*v + 222 + 4*v**2 wrt v?\nAnswer: 8*v - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-150)\/900). Solve 6*n - 18 = 5*l - 2*l, -l = -5*n + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -135 (b) 0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from jjcnjncjjctj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7144 divided by -41.\nAnswer: 7144\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*v - 4*d**2 - 15*d*v - 59590*d + 841310783*v wrt d.\nAnswer: 4*d*v - 8*d - 15*v - 59590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 496 + 300 - s**4 + 3*s**2 - 794 + 30*s**3 in the form a + g*s**4 + q*s + v*s**3 + d*s**2 and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -351, -586, -861, -1176, -1531?\nAnswer: -1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/40)\/((-33)\/24). Let f be 9\/6*(225\/27 + -9). Let b = 6\/7 + -41\/56. Put z, f, 1\/2, b in decreasing order.\nAnswer: 1\/2, b, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53761 (base 8) to base 15\nAnswer: -6a0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x**3 + x)*(318*x - 582 + 582)*(2 - 1 - 3).\nAnswer: 1272*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - 107 - (-12 - 1 - (-3 - -5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4281669, 17126659, 38534977, 68506623, 107041597?\nAnswer: 154139899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2790 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1817 - -1815.3. Let r = -11\/6 - -95\/42. Sort -0.3, 0.5, r, i in ascending order.\nAnswer: i, -0.3, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*b. Suppose -10 = -x + 3*f + 2*f, 0 = -3*x - 2*f - 38. Let y be (-9)\/45 + 28\/x. Sort y, 2, b.\nAnswer: y, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1 + 6 + 6*c - 4*c. Let z(g) = -g**3 - 4*g**2 + 6*g - 5. Let k be z(-5). Let s be k\/(-2)*12\/(-15). Calculate p(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2. Let c(g) = 11*g + 1193267. What is c(p(z))?\nAnswer: -22*z**2 + 1193267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*u**2 - u**2 - 7*u**3 + 0*u**2 + 3*u**2 as q*u**3 + x + z*u**2 + g*u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 7*q + 33. Suppose q - 83 = -3*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -3*sqrt(832))**2 + -5 - ((sqrt(39)\/sqrt(3) + 4)**2 + 0).\nAnswer: -8*sqrt(13) + 3294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15925 - -13142.6. Let b = g - -3382. What is b rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y + 2*y - 4*m, 5*y + 5*m = 20. Suppose -y*b + 0*b = -9. What is the third derivative of q**2 - 5 - 3*q**2 + b*q**3 + 5 wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283362 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(1 + sqrt(17)*-1).\nAnswer: -12 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2 + 18*o - 28 = 0 for o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*t + 7, 161*h = t + 166*h - 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 312*p**3 - 17*p**2 + 503*p - 3. Let c(t) = -312*t**3 + 11*t**2 - 501*t + 2. Let o(d) = -6*c(d) - 4*k(d). What is the second derivative of o(h) wrt h?\nAnswer: 3744*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -15*t. Solve 5*k - 14 + 4 = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, h: 1, b: 1, a: 2, o: 1}. Give prob of sequence oi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 - x**2 + 3*x**2 - 2 - 6*x**4 to the form w*x**4 + l*x**3 + q*x + j*x**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*o - 7, 6*n + 1 = n + 2*o. Let q be 2 + -2 - (-2 - n). Factor 2*k**q + 2*k + 2*k**4 - 2*k.\nAnswer: 2*k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7220000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t**2 + 2*t**2 + 12*t**2. Let p(w) = -9*w**2 - 62*w**2 + 21*w - 21*w. Determine p(u(j)).\nAnswer: -284*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 8510*u**2 + 4167184*u + 11548960424 = 0. Calculate u.\nAnswer: -877, 2566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 7*p**2 + 5*p + 3. Let m be d(-6). Let s(j) = 8*j + m*j - 18*j. Let w(q) = 2*q. What is w(s(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -560711, -1121448, -1682195, -2242958, -2803743, -3364556, -3925403?\nAnswer: -4486290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 718 - 1508 = -82*n. What is the remainder when 4806 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/66)\/(48084\/44077)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18256622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 4\/107, 5, -13, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -20586383*k. Let i(g) = 2*g. What is i(y(c))?\nAnswer: -41172766*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 666 - 664. Suppose 3*o + 4*x + 384 = 2760, -g*o = -2*x - 1584. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1556000 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**4 + n**4 - 2*n**2 - 7*n**5 wrt n?\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, -j + 3*r + 3 + 1 = 0. Let b(s) = s**2 + 7*s + 8. Let v be b(-6). Let a = j - v. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*k = 369*k + 4*g - 27, 0 = -k - g - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 1. Calculate m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*o**2 + 2275*o - 1119*o - 1156*o.\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose 0*b + 40 = 2*b - 4*m, 0 = b - 4*m - 12. Calculate the remainder when b is divided by (-1 + 3)*(d - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 0, -2 in descending order.\nAnswer: 4, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -138120000 rounded to the nearest one million?\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -737 + 733 - 25521*i**2 - 544*i + 7025*i**2.\nAnswer: -4*(68*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-3))\/(5\/15)*-2. Solve 0 = -4*a - 0*a + f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -139, 3, -28 in decreasing order.\nAnswer: 3, 0, -28, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-55)\/33)\/(-5). Suppose 3*x - 9 = h + 3*h, -x - 7 = 2*h. Let s be (h\/(-9))\/u*2. Which is the closest to 0? (a) s (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from {z: 4, u: 1, p: 1, w: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -6c?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**6\/6 + 21*d**5\/4 + 245*d**4\/4 + 1715*d**3\/6 + 88*d. Solve a(w) = 0 for w.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -4643381.\nAnswer: 120727906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3231 + 12322?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5\/3 + 104*q**4\/3 - 208*q**3 - 6712*q**2\/3 + 36460*q\/3 - 9744 = 0?\nAnswer: -29, -9, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17108 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 0 - 53*y + 0*y**2 + 1\/12*y**4 + 0*y**3. Let k(z) = -14*z. What is k(g(c))?\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Let i = -7 - -6. What is the units digit of s + i\/(1\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*j + 3*j. Suppose -6 = j*h + 5*r + 3, 4*h + r = 5. What is the derivative of 14 - 4*m + 7*m - h*m wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*n - 56*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from uuucuiuuiuuc?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 17 = -3*m, 21 = 5*m + 2*h + 3. Suppose 4*d - 16 = -m. Suppose -y - 12 = d*y, 3*n + 4*y = -35100012. Round n to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 80.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -9. Let s(k) = -2*k + 13. Let z be s(u). Let j = -9 + 4. Are j and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -18)\/(11*(-14)\/119)*-1.\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -2*u**6\/15 - 184*u**5\/25 - 26*u**4 - 32*u**3\/3 + 262*u**2\/5 + 344*u\/5 + 457. Let x(z) = 0. Calculate z.\nAnswer: -43, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6310888978.963367 + -6310906098. Let k = o - -17119. Let l = 0.0372 + k. Round l to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-260))\/((-104)\/(-248768)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c**4*r**3 - 3*c**4 - 618*c**3*f - 2*c**2 + 7*c*f*r**3 + 348*f*r**3 + f*r**2 wrt c.\nAnswer: -264*c*r**3 - 72*c - 3708*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 3305 = -5*p, -2014 = -3*p - 5*d. What is the greatest common divisor of p and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from bbbbbbobobb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001350787076 rounded to seven dps?\nAnswer: 0.0001351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, 41.\nAnswer: -1, 3, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**3\/3 + 26. Let c(r) = 2*r + 9. Calculate f(c(z)).\nAnswer: 4*z**2 + 36*z + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 199021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + ((sqrt(343)*-1)**2 - sqrt(343)) + 2 + 3 + (sqrt(343) - -1*sqrt(343)) - ((1 + sqrt(343) + sqrt(343))*-2*-2)**2.\nAnswer: -21620 - 434*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292177\/72 + -4058. Let m(i) be the third derivative of t*i**6 + 0*i + 0 + 245\/72*i**4 + 0*i**3 - 7\/18*i**5 + 4*i**2. Factor m(r).\nAnswer: 5*r*(r - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = i - 2, 5*z - 3*i = 7. Let -1\/2*n**3 - 1\/2 + 1\/2*n**z + 1\/2*n = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.017, 29, 11, 2, -0.3, -5, 0.01?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29310 and 10440.\nAnswer: 10199880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1381402, 59.\nAnswer: -2, 59, 1381402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 873 = 112*d - 171 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 420139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*s**5)*((3 - 5 + 0)*(4 - 3 - 2) - 1 + 2 - 3 - 64 - 540 + 30).\nAnswer: -1148*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - 4 - -3 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b - 12. Let r(y) = y - 1. Let s(l) = -h(l) + 12*r(l). Let f = 21 - 14. Calculate the remainder when s(2) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2. Let v(z) = -100*z - 40. Let k(a) = 4*b(a) - v(a). What is the hundreds digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/60 + g**4\/3 - 3*g**3\/2 + 6*g**2. Let p be r(6). Suppose p*y = 9*y - 8862. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*g + 1182, 208 + 956 = 3*g + h. Let v be (-10)\/(-15)*16342\/(-28). Let r = v + g. Sort 1\/7, r, -5 in decreasing order.\nAnswer: 1\/7, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 2*t + 1. What is z(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 46 + 70 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -8 - -10) + (-2 - -49 - (45 - 46))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 60. Let x be h(10). Let u(c) be the third derivative of 0*c**3 - 10*c**2 + 0*c - 1\/30*c**5 + x*c**4 + 0. Let j(r) = 6*r**2. What is u(j(t))?\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040764308 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2)*(-9417)\/(-146). Suppose -6*s + 1132 - 346 = 0. Which is greater: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 - 2*i**2 - 2*i + 2. Let m(h) = 3 - 4*h**3 - h**2 - 2*h**2 - 3*h + 0. Suppose 88 = 19*g - 140. Suppose y + g = -3*y. Give y*n(o) + 2*m(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let u = 24 - 25. Let r = 1 - 3. Which is the nearest to u? (a) i (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/30*-20*((-380)\/(-240) + -2)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34553 + -34551. Sort s, 71, -3, -76 in increasing order.\nAnswer: -76, -3, s, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77071, -153703, -230339, -306979, -383623?\n\"Answer: -2*d**2 - 76626*d - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(3\/38)*y**(-1\/2)\/(y*y\/(y*y**(-6)\/y*y*y)) assuming y is positive.\nAnswer: y**(-122\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 28. Suppose -s = s - d. Suppose -s*k = -3*w + 44 + 58, -3*w + 3*k = -102. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -159, -164, -181, -216, -275, -364?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146 + (-186 - -34) - (1 - 27).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - u**2 - 13*u - 6. Does 13 divide q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = -5*q, v + 2*v + q - 12 = 0. Suppose 4*t + v - 16 = -l, 4*l + 16 = 0. Let m(g) = -g**2 + 3*g + 8. Let z be m(4). Is z > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 965639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1281 and 99\/14.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 - 252. Let n(i) = 360*i - 215*i - 147*i. Calculate t(n(s)).\nAnswer: -12*s**2 - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -aa76b4 (base 12) to base 4\nAnswer: -22111110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/13)\/d*d)**29 assuming d is positive.\nAnswer: d**(-116\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = -8. Suppose 244*h - 266 - 44 = 89*h. Put -1, -2, f, h in decreasing order.\nAnswer: f, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*h**2 + 220*c*h - 2*c - 2*h**2 + 344 wrt c.\nAnswer: -2*h**2 + 220*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5790*z**2 + 19*z + 5005. Let q(t) = 1930*t**2 + 6*t + 1668. Let i(a) = 6*d(a) - 19*q(a). Differentiate i(k) wrt k.\nAnswer: -3860*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 87. Let k be z(28). Let t = k - 25. Let m(u) = -10*u**2. Let f(c) = 5*c**2. Let i(q) = 14*q**2 + q. Let w be i(-1). Give t*m(r) + w*f(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p. Let z(v) = -80*v**2 - 1. Calculate z(r(i)).\nAnswer: -720*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -12*r**2 + 261*r + 2. Let p(l) = 3*l**2. Give m(p(q)).\nAnswer: -108*q**4 + 783*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14. Let h = w + -2.3. Which is the second smallest value? (a) -12 (b) 1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7113, 28428, 63941, 113640, 177513, 255548, 347733, 454056?\nAnswer: 574505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 76?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3122840 (base 9) to base 6\nAnswer: -55433100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 10. Let r be ((-8)\/4*-1)\/2. Solve -x + r = u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9197\/3 or -3066?\nAnswer: -9197\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23166)\/1716*33*(-10)\/(-45).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 9*w = 4719. Suppose -5*r - 1607 = -4*z, 457 = 5*z - 2*r - w. Suppose -4*v = -92 - z. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6972554*d. Let m(n) = -3*n**2. What is s(m(h))?\nAnswer: -20917662*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*u - 66*u - 64*u.\nAnswer: -79*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14265151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1038, -1037, -1036, -1035?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 654477293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -406 or -2431\/6?\nAnswer: -406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -326, -185 in increasing order.\nAnswer: -326, -185, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -30. Let u(i) = i**3 - 5*i**2 - 7*i - 7. Let a be u(6). Let b = a - f. Solve -b = -3*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/(l\/(l*l**(4\/7)*l)*l)*l)\/l)\/l)\/((l*l\/(l*l**(-4)*l)*l)\/l))**(-2\/69)\/(l\/((l**(-2\/3)*l)\/l)*l**6)**(-48) assuming l is positive.\nAnswer: l**(177778\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**9\/36 - b**5\/6 - 20*b**2. What is the third derivative of c(u) wrt u?\nAnswer: 1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-4 + 3)\/(-1). Let x(h) = -192*h + 4. What are the prime factors of x(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 15 = -3*f. Let m = 12.5 - 13.5. Which is the second biggest value? (a) m (b) f (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2577\/4 + 647. Let p(w) be the first derivative of 4 + g*w**4 + 0*w**2 + 0*w - 19\/3*w**3. What is the third derivative of p(t) wrt t?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(5\/9)\/b)\/b)\/(b*(b*b*b**(-2\/3)\/b*b)\/b)*(b*b*b**(-26))**(1\/23) assuming b is positive.\nAnswer: b**(-584\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b - 2*b**3 + 13*b**2 + b + 0*b - 9. Let m be t(6). What is the third derivative of 192*z**m + 35*z**2 - 31*z**5 - 192*z**3 wrt z?\nAnswer: -1860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 444\/(-10) - 6\/(-15). Let h = a - -62. Let s(j) = 2*j**3 - 9*j**2 - 5*j + 12. Let o be s(6). Calculate the greatest common factor of h and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -7*u**2 - 19. Let q(t) = 4*t**2. Give q(n(a)).\nAnswer: 784*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17255 + -17250. Let u(g) be the second derivative of -5\/8*g**4 - 1\/40*g**d - 9\/4*g**3 + 0 - 13\/4*g**2 + 34*g. Let u(x) = 0. Calculate x.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 42*h - 793. Let g be u(9). Which is smaller: g or -412?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*i + 277437 - 274287 = 0 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -15. Let i = t + -3. Let k = 1 + i. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096*p**3 - 1128*p**3 - 1125*p**3 - p + 3341*p**3 + 2*p.\nAnswer: -8*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 393 (base 10) to base 11\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -66, -91, -116, -141?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 8 + -13)*-60*(-2)\/9?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-4)\/(-154))\/1*(-84)\/192*-4).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 7*d**2 - 6*d - 3. Suppose 3*r = 2*r + 8. List the prime factors of g(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((-4)\/(-24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 5 + 1 - 1 - 1 + (2 + 6 - 5)*(3 - 4 - 1) + 1 - 1 + 3)*(2 - 2 + h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v - 171. Let s = -35 - v. Let x = s - 7. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*o**3 - 80*o**3 + 149*o**3 - 1 - o to m*o + n*o**3 + s*o**2 + a and give n.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 1:14 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(2 + (-10)\/6). Let w(g) = g**3 + 3*g**3 - 2 + 7*g + 0 + 6*g**2 - v*g**3. Let d be w(-4). Which is the biggest value? (a) d (b) -1\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -h - 11, -95751 = -2*q - 2*h - 95765 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*m**3 + 14776*m**2 - 2*m + 473993?\nAnswer: -27*m**2 + 29552*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**6)\/y**(-1)*(y**(-2\/25)\/y)\/(y*y*y\/y**(3\/5)))**32)**(-40) assuming y is positive.\nAnswer: y**(47872\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37413 = -3*m, -18*x = 3*m - 19*x - 37395. What are the prime factors of m?\nAnswer: 2, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 324202607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-224.47.\nAnswer: -897.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152321.\nAnswer: 3, 384107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - 6425 + 4*n**2 + 6426 - n - n - 3*n**3. Determine d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 9. Let g(r) = r - 5. Let c be -9*(-1)\/(-30) - 1243\/(-110). Calculate c*g(x) - 6*h(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 13761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9638 is divided by 4819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2533?\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 25. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*f**4 + 188*f**2.\nAnswer: -3096*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*s - 60*s - 1405 + 1405 - 65*s + 190*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.4288 decades in years?\nAnswer: 6804.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280.366 centuries in years?\nAnswer: 228036.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 118\/(420\/(-180)*(-6)\/7). Solve 13*i - 46 = -y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12386 and 20812.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 502*a = -500*a - 18, 0 = 5*r - 5*a - 90. Calculate the smallest common multiple of r and 200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-6))\/((-266)\/(-342)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458129484 to the power of 1\/2, to the nearest integer?\nAnswer: 21404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 31. Let u = -10 - q. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8970*w**2*x**3 + 61892*w**2 - 5*w*x**3 wrt x?\nAnswer: 26910*w**2*x**2 - 15*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 16 = 2*t, 6*h + 0*t = -2*t + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44695157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*z - 48 = -93*z. Calculate the common denominator of z - (-2 + (-463)\/(-72)) and -145\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -907, -900, -891, -880, -867, -852?\n\"Answer: w**2 + 4*w - 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1437 and 144.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t*t)\/(t*t\/(t\/(t\/t**(2\/27))*t*t)*t))**(-2\/73)*(t\/t**0)**(1\/54)\/(t**7*t**(-2)) assuming t is positive.\nAnswer: t**(-19861\/3942)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/6)\/(-6 - (-6174)\/1028). Suppose 0 = -4*f + 3*f + 14. What are the prime factors of f\/(-35) + h\/15?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**8\/1344 + 3*q**7\/280 + q**6\/80 - 19*q**5\/24 + 25*q**4\/32 + 375*q**3\/8 + 4*q**2 + 28*q. Solve k(d) = 0 for d.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16364 times -1574?\nAnswer: 1831.56936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5627.503389 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2575621975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/90 - 4\/(-10). Let x be -10*((-12)\/(-80) + (-6)\/15). Let n = x + -3. Which is the smallest value? (a) p (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - (sqrt(96) + (2*sqrt(96) - sqrt(96) - sqrt(96))))*-3*6)\/((4*sqrt(120)\/sqrt(4))\/(sqrt(10) + -1*sqrt(810) + sqrt(810))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 8) to base 12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4322 and 10?\nAnswer: 21610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 32*r - 53 - 192 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102221002100 (base 3) to base 9.\nAnswer: 387070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -512*q + 4083 + 1351 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -971, -975, -979, -983?\n\"Answer: -4*p - 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let o be ((-1)\/(-2))\/((-2)\/(-240)). Let s be 3\/((-27)\/o)*-3. Solve -s = i*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h = -5*d + 28*h + 13338, 3*d - 4*h - 8000 = 0. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122337?\nAnswer: 3, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75424 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2230744.9734 - 2230540. Let p = -205 + v. What is p rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4910, 9843, 14794, 19763, 24750, 29755, 34778?\n\"Answer: 9*o**2 + 4906*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 2424 + 12384 = 1533. Solve 530*c = y*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 7*s - 6*s + 5, 4*s + 8 = 6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) 4\/31 (c) 9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 7*p + 7. Let a(w) = 151*w + 181*w - 2*w. Let o be a(p). What is the greatest common factor of 30 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 + -338. Let q = 256 + a. Let b = 97.0000039 - q. What is b rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 19*v + 33. Let i be r(2). Suppose -4*x - 2*n = 2*n - 60, -2*x + i*n + 25 = 0. Solve -y - c = 7, -5*y - x = c + 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2663685544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 19*x + 17. Let h(a) = -6*a - 6. Calculate -17*h(b) - 6*i(b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1486)\/(-24) - 2\/12. Let v = d - 62. Which is the smallest value? (a) v (b) -2\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*q + 2*q. Find the first derivative of -10 - 6*r**2 - 5 + q + 3*r**2 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*j + 12 = 0, 0 + 3 = b - j. Let o be 20*(1\/((-32)\/12) + (-1309)\/(-1496)). Solve 3*m + o = -2*t, m = -b*t - 4*t - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19611309 to the nearest integer?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 312324890 a multiple of 830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l - l**3 - 21*l**2 + 11*l**2 - 27*l - 21 - 4*l. Calculate the remainder when 49 is divided by u(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -48. Calculate the least common multiple of 5 and y.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76809*i + 675*i**3 - 76809*i.\nAnswer: 675*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 31*v + 242. What is s(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/8)\/((-23 + -7)\/300). Let c(k) be the second derivative of -3\/20*k**5 + 9\/2*k**3 + o*k**2 + 3\/4*k**4 - 29*k + 0. Let c(s) = 0. Calculate s.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 21 = -519. Suppose 63*b = i*b + 774. Calculate the remainder when 600 is divided by b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w + 12. Let a = 1 - -1. Let r(v) = v**2 + 16*v + 55. Let g be r(-13). Solve w*f - g = a*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 327117 and 4?\nAnswer: 1308468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 8:28 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**4\/4 - 8*u**3\/3 - 13*u**2\/2 - 38*u + 66. Let b be s(-7). Let p(r) = -133*r. Let a(t) = 11*t. What is b*p(x) + 49*a(x)?\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q**2)*(2*q - q - 3*q) - 8561 + 8561 - 123*q**3 + (1 - 1 - q)*(-3 + 3 + q**2).\nAnswer: -128*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51392323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 + 3*i**3 - 9*i**2 + 9*i.\nAnswer: -i*(i - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3340*u**2 - 54*u - 7900121 with respect to u.\nAnswer: 6680*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*b + 76 = 0, 0 = 4*n + 4*b - 7*b - 68. Let i = 25 - 17. Calculate the highest common factor of n and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -11, -709, 3\/4, 0.04, -2, 2\/13?\nAnswer: -709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1499, 1559, 1659, 1799?\n\"Answer: 20*y**2 + 1479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5582412 is divided by 251?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*i + 249 - 1101 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.23, -1\/9, 0, -0.6, -205, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19142 - 18895. Calculate the highest common divisor of 323 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*c + 22, 4 = 4*c - 4. Let z(t) = t**3 - 7*t**2 + 4*t + 9. Let p be z(5). Let o = b - p. Solve r + 5*k = 0, -2*r - o = -2*k - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 11 in ascending order.\nAnswer: 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*j**2 - 544 + 544 + (-j + 0*j + 2*j)*(-2 + 2 - 2*j) + 4*j - 4*j - j**2 + (-10*j**2 + 10*j - 10*j)*(4 - 3 - 2) - 4*j**2 - 4*j**2 + 5*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -108417b7 + 5?\nAnswer: -108417b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r. Let l(q) = -706763564*q**2. Determine b(l(a)).\nAnswer: 1413527128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 44*0.07\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**2. Let a(g) = -15*g + 4*g + 6*g + 5*g - 2*g. What is q(a(p))?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o + 19. Let i = 62 - 51. Does 13 divide m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 19 = 77. Calculate the highest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 - -12.86. Let p = 15.4 - u. Let d = -0.6 - p. Is d < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-4)*16\/(-14). Sort -2, h, 4 in decreasing order.\nAnswer: 4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((0 - -1)\/2). Suppose 4*f = y + 2*y + 38, -3*y + 3*f - 33 = 0. Let k = w - y. Solve -17 + 0 = 2*c - 3*r, k = -4*r + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (397972\/(-222))\/((-2)\/(-3)). Let l = b + 3991. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 s, and 1 o when four letters picked without replacement from {g: 3, h: 2, p: 1, s: 2, y: 2, o: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 67. Calculate the remainder when 728 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -29. Let o(v) = 52*v**2 - v - 1. Is o(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y - 3. Let x(v) = v - 1. What is -h(w) + 2*x(w)?\nAnswer: w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 11. Let r be s(11). Put 2\/11, 2\/9, r in increasing order.\nAnswer: r, 2\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 3*h**2 + 3*h + 4. Give n(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 13 + 9 + -42?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27856753.11 rounded to the nearest 100000?\nAnswer: 27900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-14)*16\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 34. Let c be d(-7). Let j be 5\/((-25)\/c) - 1. Solve -j*a - 12 + 9 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i**2 - i. Let w(j) = -5*j**3 + 3*j. Let s(o) = -2*h(o) - w(o). Let d(r) = -r**2 - 5*r + 7. Let g be d(-6). List the prime factors of s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1015, -3995, -8945, -15865, -24755, -35615?\nAnswer: -48445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t**2 - 3*t + 4. Let r be q(3). Let k = r - -181. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01143259013 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6768.5382 rounded to the nearest 10?\nAnswer: -6770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19\/(q\/(q**(-2\/9)\/q)))\/(q**(-5\/2))**20 assuming q is positive.\nAnswer: q**(601\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 - -321. Suppose 2*x - t - 6 = 0. Suppose 0 = -z + 1, 3*n + 2*z = -3*z + x. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**3\/3 - x**2 + 3*x + 9. Let t be g(-5). What are the prime factors of 19831\/133 + (-4)\/t?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3764453109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)\/v**(-3\/4))**(-1\/6)*(v\/v**(-4)*v\/((v\/v**(-3))\/v))\/(v**1)**(-20\/7) assuming v is positive.\nAnswer: v**(2917\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 - 160*v**2 - 20703*v + 129762 = 0. Calculate v.\nAnswer: -89, 6, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 215*w**4\/3 + 7733*w**3\/3 + 7273*w**2\/3 - 245*w\/3 = 0.\nAnswer: -35, -1, 0, 7\/215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 3*j = -2, -39*x + 80*x - 44*x - 6*j = -21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -315\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -23*i + 589. Calculate s(23).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -285. Let h = q - -17. Find the third derivative of -h*f**4 - 139*f**4 - 28*f**2 + 276*f**4 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u + 18*u + 3. What is the closest to 0.1 in 4, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380253439 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296\/392 + (-1)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 19 + 53 - 74 - 6*i**2 + 3*i**2 - i. Let h(x) be the first derivative of 10*x**3\/3 + 7*x**2\/2 + 7*x + 1. Give 7*a(f) + 2*h(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*w - 231*w - 62*w**5 + 540*w**5 - w**2 wrt w?\nAnswer: 28680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -3 - 3\/2*o**2 - 4*o + 1\/3*o**3. Let y be c(5). Solve 3*u + 9 = -f - 3*f, 2*f = -2*u - y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 38*c**2 - 41*c - 65. Calculate s(-39).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*((-11)\/5 + 3). Suppose 15 = q + s*q. Suppose 0 = -5*o + 2*z - 14, o + o - q*z = -14. What is the second smallest value in o, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 581*l**5\/4 - 298635*l**4\/2 + 2080427*l**3\/2 - 1635608*l**2 + 2988477*l\/4 - 5105\/2 = 0. What is l?\nAnswer: 2\/581, 1, 5, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4964 and 238034.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09249 - 0.04249. What is the second biggest value in 3\/2, 4, -10, -3, h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.66 + -74.34. Which is the closest to -0.06? (a) -4 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -77.6. Let o = z + 11.6. Let l = 0.14 - 4.14. Which is the biggest value? (a) l (b) -2 (c) o (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -4, -1, -78, 190 in increasing order.\nAnswer: -78, -70, -4, -1, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*c - 59, 3*l - 2*l - 64 = -2*c. Let k = l - 43. Solve -3*y = 2*t - 10, -3*t + y - k = -3*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (24 - 10\/5). Let u = k - 18. Sort u, 5, 2\/9 in descending order.\nAnswer: 5, u, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/((-15)\/48))\/1. Suppose 3*z + 4*w + u - 86 = 0, 3*w + 78 = 5*z. Is (1 - -173) + (z - 15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -381635 + 381621. Let v = 6 + -3. What is the nearest to 2\/7 in v, -3, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*u - 4*c - 5, 2*c = 4*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17945*z**2 - 29749.\nAnswer: 35890*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/105)\/(729\/(-567)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**8\/3696 - l**7\/770 - l**6\/660 + l**5\/330 + l**4\/88 + l**3\/66 - 14*l**2. Factor z(v).\nAnswer: -(v - 1)*(v + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.3 and -115.\nAnswer: 954.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 47843.446 to the nearest 10.\nAnswer: 47840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102102111 - 1000102?\nAnswer: 101102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-91166551.\nAnswer: 5469993.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -846332 + 846337. Suppose 10\/3*y**h + 0 + 5\/3*y**3 + 2*y**2 + 0*y - 7*y**4 = 0. What is y?\nAnswer: -2\/5, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, -4, 0, -7, 30, 1 in descending order.\nAnswer: 30, 22, 4, 1, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4610 - 6579. Let m = f + 1976.91. Let z = m + -8. What is z rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/(3024\/588)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -672*o**2 - 28234*o - 246. What is j(-42)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34393185*k**3*x + 56617130*k**2 - 2*k*x wrt k?\nAnswer: -206359110*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 71\/8, -2, -2\/9 in increasing order.\nAnswer: -2, -2\/9, 2\/21, 71\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36 and 36\/365.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48555289 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1730*r**5 - 2*r + 47821 wrt r?\nAnswer: -34600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131300112 (base 5) to base 8.\nAnswer: 2365460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 14 + 2*m - 26 - 2*m**2 to the form h*m + n*m**2 + i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 + 46*b**3 - 14*b**3 - 21*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 0.263913.\nAnswer: 0.236087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7874, -2, 70 in decreasing order.\nAnswer: 70, -2, -7874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463838 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/240 + t**5\/30 - t**4\/12 + 5*t**2. Factor j(n).\nAnswer: -n*(n - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00133712 to six dps.\nAnswer: 0.001337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 55*y**2 + 6*y - 6. Let q(w) = -7644*w**2 - 833*w + 833. Calculate -833*b(j) - 6*q(j).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 0.03.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spir when four letters picked without replacement from ssiiplrsisigsls?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -326 - -1?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -508.26859 rounded to 1 decimal place?\nAnswer: -508.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -313*c**2. Let l(r) = 11*r**2. Calculate l(a(h)).\nAnswer: 1077659*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.94 + 2.71. Let v = w - 0.37. Which is the nearest to 0? (a) 0.5 (b) v (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**3 - j**3)*(-2 + 2 + 2) + (-2*j + 4*j - 3*j)*(0*j**2 + 0*j**2 - j**2) + 51*j**3 - 1483*j**3 - 2712*j**3.\nAnswer: -4145*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-6)*8\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 2509426\nAnswer: -1003770.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 16 = 2*g, -g + 4 = -y + 5*y. Let h be (-4 + 3)\/(1 - 2). Let n = y - h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36291 + -21291. 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: Suppose -10*t + 291 + 159 = 0. Let i = -41 + t. Suppose 4*d + q - 208 = 172, -16 = -i*q. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14370 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/56 and 47\/16078972?\nAnswer: 32157944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 427413*z. Let c(u) = -4*u**2. Calculate t(c(h)).\nAnswer: -1709652*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3996.217 decades to millennia.\nAnswer: 39.96217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - z - 5*z)*(1006 - 5*z - 8*z - 1004).\nAnswer: 13*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*r - 111, -5*z - 2*r + 5*r + 300 = 0. Calculate the greatest common factor of 84 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 1583 = -847. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3946201ns to milliseconds.\nAnswer: 0.0000003946201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322350605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 351955898 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -18*g**3 + 5*g + 5. Calculate the remainder when o(-1) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*b**3 - 110*b**3 + 45*b**3 - 3*b**3 + 6*b**3 - 4*b**3 + (0 - 2 + 3)*(-3*b**3 + b**3 + 0*b**3) as q*b**2 + i*b**3 + g*b + m and give i.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39875189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 219, -6, 9.\nAnswer: -74, -6, 9, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - 12*n**2 + 4*n + 17. Calculate the smallest common multiple of r(-5) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**2 + 1. Let l be (-1 - 2) + (-6)\/(-3). Determine k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 4*z + 4. Let v be n(-5). Do 2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 4*q + 7. Let v be 1*-2*(-12)\/(-8). Let d be r(v). Let y be (2\/d)\/(8\/(-16)). Which is the second smallest value? (a) 0.4 (b) y (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -3341015?\nAnswer: -3341024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 17. Suppose 2*c + o + 4*o = -h, c - 20 = 4*o. What is the derivative of x**4 - 4 + c*x**4 - 2*x**4 + 3*x**4 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = q - 1. Suppose 4*z - 5*z = 4*s - 23, -3*s + 14 = q*z. What is the units digit of (-4)\/s - 123\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48117661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 13*o**3\/3 + 2735. Let v(l) = -70*l. Calculate w(v(s)).\nAnswer: 63700*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Suppose i*c = 2*c + 10. Put -4, c, -1 in ascending order.\nAnswer: c, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 + a**2 + a + 1. Suppose -d = -2*d - 5*i - 26, -2*d + 5*i = -23. Let z be l(d). Suppose -u = z*u - 30. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 5, 2\/11, 4\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 7*j + 7*j)*(-3*j - 2*j - j) + (5 - 6 + 2)*(-6*j**2 + 20*j**2 + 32*j**2) to the form m*j + i*j**2 + x and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 52*g - 142. What is the tens digit of p(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 1. Let d(r) = 22*r + 5. Let v(y) = -d(y) - 3*q(y). Is v(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j - 4 + 0 + 2.\nAnswer: 33*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 15, 0 = 6*x - x + 3*p - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 123?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -258 + 1?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -50*b + 53*b + 7, 0 = -4*p - 2*b + 10. Determine d so that 923 + 3*d**2 + p*d**2 - 888 + 40*d = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -19*o - 91. Calculate s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 17496*b\/7 + 175160\/7.\nAnswer: -2*(b - 8758)*(b + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*m + 334*m - 772*m + 3876 + 1752 = 0 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 585 - 326. What are the prime factors of j?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 51. Let g = 57.5 - z. Which is the nearest to -0.2? (a) g (b) -6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0*w**2 + 2*w - 1\/2*w**3 + 0*w**5 + 1\/30*w**6 + 0*w**4 + 0. What is the second derivative of j(v) wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/4 + 20*v**3\/3 - 55*v**2\/2 + 5701*v + 1579. Differentiate n(l) with respect to l.\nAnswer: 3*l**2 + 40*l - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 767 + -4633\/6. Calculate the common denominator of s and 1\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 3*x**2 + x. Let t(o) = o**3 + o**2 + o + 1. Let i(u) = -h(u) + t(u). Determine i(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 376, 675, 1042, 1477, 1980?\nAnswer: 2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0) + 2 - 4. Let o(j) = j**2 + 3*j - 2. Let s be o(f). Let y(v) = v**3 + 3*v**2 - 5*v + 5. Let w(d) = d**2 - 2*d + 2. Give s*y(m) + 5*w(m).\nAnswer: -2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 36*c**3 + c**2. Let a be b(-1). Let r be 4\/(7 + a\/7). Solve 5*k - 22 = 5*p - r, -4*k = 2*p - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 40*a - 45*a + 0)*(-2 - 2*a**2 + 2).\nAnswer: 170*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -26\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759995?\nAnswer: 5, 7, 78857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 11. Let l = x + -19. Let u be (-7 - -5) + l\/(-3). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2092, -4569, -7020, -9445, -11844, -14217?\nAnswer: -16564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12949, 46388, 102133, 180196, 280589, 403324, 548413, 715868?\nAnswer: 905701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (1\/(-1) - 0) + 1. Let q(m) = -m**2 + 2*m + 1. Let x be q(2). Let s = 5893 - 5893.3. Which is the second biggest value? (a) s (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3503 = 1155*o - 1154*o, -3504 = -c + 2*o. List the prime factors of c.\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700777 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 17) + (0 - -16) - (-11 - 30).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10*r - 1 - 4 - 6*r.\nAnswer: -16*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13729 rounded to 3 dps?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-20) + (-10)\/(-8). Let n = -3 - j. Calculate the common denominator of 39\/2 and (((-105)\/(-2))\/n)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*l + 5 = -0, 0 = 4*k + 3*l - 11. Suppose 9 = k*c + c. Sort 1, c, 1\/5 in descending order.\nAnswer: c, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37\/5? (a) -0.1 (b) -12\/7 (c) 23 (d) 0.5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/60 - f**2\/2 - f. Let k(p) be the first derivative of n(p). Let g(i) = 3*i. Determine k(g(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -838, -881 in descending order.\nAnswer: 1, -5, -838, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -562 greater than -2803\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6829760 (base 10) to base 6\nAnswer: 402215132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 2:06 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 3:07 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 1:22 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2323, -9300, -20935, -37228, -58179, -83788?\nAnswer: -114055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*w - m, -20*w + 19*w - 5*m + 24 = 0. Solve 0 = w*j - 49 + 76 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 202 + 581078.\nAnswer: 581280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3*b - 4)*(0 - 8 + 2)*(b**3 - b**3 - b**3) to k*b**3 + f*b + r*b**4 + a*b**2 + q and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 208915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010101 (base 2) in base 6?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:46 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 2. Let n(a) = 4*a - 1. Let o(t) = -2*n(t) + 3*r(t). Let j be o(6). Let z(f) = -44*f**j + 24*f**2 + 15*f**2. Let m(p) = p**2. Give z(m(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60890931 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: Collect the terms in -28*d**3 + 55*d**3 - 26*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70) + sqrt(70))\/sqrt(10) - 6*(sqrt(7) + 2))**2 + (sqrt(70)\/sqrt(2)*-3)\/(sqrt(20)\/(sqrt(4) - (sqrt(4) - -1*sqrt(4)))).\nAnswer: 147*sqrt(7) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-19)\/(j**(-1\/13)*j) assuming j is positive.\nAnswer: j**(-259\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1459717 and 15.\nAnswer: -21895755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53068 - -3714829\/70. What is the common denominator of -13\/112 and r?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 9*l**2 + 7*l + 7. Let x be t(8). Let a be (x - 6\/(-4))*18. Suppose 4 = u - n - 3, -3*u - n + a = 0. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:58 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 2*c**2 + 26*c - 10. Let y be q(6). Suppose y*n = p - 257, -n + 844 = 5*p - 430. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*y - 42. Let x(r) = 2*r - 6. Let s be x(5). Suppose -4*t = m + s*m - 234, 0 = 3*m + 4*t - 142. What is the least common multiple of m and y?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446678, -1786704, -4020074, -7146788, -11166846, -16080248, -21886994?\nAnswer: -28587084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 7. Let i(f) = -f. Determine n(i(k)).\nAnswer: -2*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l + 23. Let f = -9 - -6. Let n(o) = -13*o - 24. Let v(j) = f*h(j) - 2*n(j). Does 13 divide v(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 7. Let t(m) = 1 - 5*m + 3*m - 4*m + 3*m + 2*m. Give i(f) + t(f).\nAnswer: -2*f**2 - f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -3*g**5\/20 - 3*g**4\/4 + g**3\/2 + 9*g**2\/2 - 22*g + 28. Let l(t) be the first derivative of j(t). Factor l(f).\nAnswer: -3*(f - 1)*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**2 + 31 - 31)*(t**2 - 2*t**2 - 3*t**2) + 4 - 4 + t**4.\nAnswer: 33*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = 5*p + 15769 - 15682, 3*t - 2*p - 29 + 4 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.978 - -51. Which is the third biggest value? (a) 3\/2 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.7 and -0.4313.\nAnswer: -8.1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 4192?\nAnswer: 20960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/10 - 2*v**3\/3 + 3*v**2\/2 + 3*v. Let u be a(3). Let i = u + -31. What is the highest common divisor of 70 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 81. Suppose i - g = -4*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/7, 2\/3, -6 in decreasing order.\nAnswer: 5, 2\/3, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724, 721, 718, 715, 712, 709?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 - -1333. Let c = 1454.00781 - o. Let i = c - 0.0046. Round i to 4 decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 29022.\nAnswer: 145110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from bzclhclolzzlzbz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Suppose 4*o - 7 - 1 = a. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4008452023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/30 - 5*c**3\/6 + 5*c**2\/2 + 7*c. Let j(h) be the first derivative of r(h). What is the first derivative of j(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h = -10 + 484 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/(-10) + 3)\/(-4*27\/48). What is the fourth biggest value in -18.8, u, 5, -4?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -39. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15994 - -15996. Solve 46*r - 48*r + 10 = -4*s, c*s - 4*r = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67621 is divided by 904.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20822?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)*b\/(b*b*b*b\/(b\/b**(1\/9))*b))\/((((b**3*b)\/b)\/b)\/b*b\/b**(2\/9)) assuming b is positive.\nAnswer: b**(-193\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 204\/18 - 4\/(-6). Let w(b) = 5*b**2 + 34*b - 166. Let d(i) = 3*i**2 + 23*i - 106. Let z(o) = 8*d(o) - 5*w(o). Calculate z(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-22) + ((-51471)\/99 - -9). Let h be (-2)\/(-6)*(-21)\/z. What is the smallest value in 0, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0 + 222499?\nAnswer: 2223a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o + 4*o - 4*o + (-2*o - o + 2*o)*(-51 + 401 - 75).\nAnswer: -268*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*a + 472*a - 18 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -137687972858\nAnswer: 137687972859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 43 = 2*j, 0*j + 59 = 4*r - 3*j. Let d = -7 + r. Let b be (4\/(-3))\/((-32)\/(-48)). Put b, d, -4 in descending order.\nAnswer: d, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348784*t + 92*t**2 - 1348784*t.\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74246?\nAnswer: 2, 37123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 1\/54, 159\/25, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1310510 + 1?\nAnswer: -131050a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27143780*c**3*x**3 - 110*c**3*x**2 + 222*c**2 - 53*x**2 + 2*x - 3 wrt x?\nAnswer: 162862680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162\/455 + -4\/91. Let v be (-25)\/(-9) - 0 - 3. What is the third smallest value in v, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -1 - (8 + -3). Let h be (i\/(-2) + -1)*0. Let w be h*(-3)\/6 + 3. What is the highest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25836.66362 rounded to one decimal place?\nAnswer: -25836.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -3*a. Let m = a - -75. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148987 is divided by 75?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a1 - -1?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -12 + (-1 - -5) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-608)\/(-80) - 6)\/((-2)\/(-15)). What is the greatest common divisor of r and 4848?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*t + 4311 = -6*t, 0 = 2*u - 5*t - 1729. Suppose 5*d = 118 + u. Suppose -3*q = q - d. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22140102 (base 5) to base 2.\nAnswer: 101111001010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -2*v - 8, -3*x - 2*v + 8 = 0. Suppose x*r - 9*r = -20. Solve 4*k - 6 = -2*a, 5*k + 5*a - 24 = -r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -9 (b) -1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(12\/81) - 1. Suppose 2*t - 3*n - l = -n, -3*t + 63 = 5*n. What is the remainder when 27 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 6. Let f(p) = 5*p - 2. Let h(j) be the first derivative of j**2\/2 - 1. Let l(r) = f(r) - 4*h(r). Give 11*l(g) - 4*z(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -38. Solve 0 = d*q + 3*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19600 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**6 - 2*o + 0*o**3 + 0*o**2 - 1\/10*o**5 + 0 - 1\/9*o**4 + 1\/63*o**7. Factor t(a).\nAnswer: 2*a**2*(a - 2)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -665, -1109, -1565, -2039, -2537, -3065, -3629, -4235?\n\"Answer: -f**3 - 437*f - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrkrnkprqknvv. Give prob of sequence kv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 - 2*h**2 - 2. Let p be q(2). Suppose -7 - 357 = 26*c. Let w = c - p. Solve 0 = 4*z - w, t - 3*z = -0*z - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -1501, -4757, -11083, -21499, -37025, -58681?\nAnswer: -87487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -16*v - 30. Let w be l(-2). List the prime factors of -6 + (95 - (6 + w)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/340*2499\/63?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/((-63)\/(-23163)*-1). Is q < -551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76*(-16)\/144)\/((-112)\/42).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.5237 to 1 dp.\nAnswer: 29.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1311 - -1854. List the prime factors of a.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46666 + -46666. Solve -2\/9*j**5 + c - 2\/3*j**4 - 2\/9*j**2 - 2\/3*j**3 + 0*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**2 - 11*y + 1217. Let q(m) = 3*m**2. Give q(b(i)).\nAnswer: 48*i**2 - 264*i + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -85.5.\nAnswer: -427.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1331)*-2*6 - sqrt(1331)) + 3)*-2*-4)**2.\nAnswer: -54912*sqrt(11) + 14396672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 491085 or 491086?\nAnswer: 491086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*sqrt(1900))**2 - (-1 + sqrt(1900) + -4) - -2*(2 + sqrt(1900) + -2 - 2*(1 + sqrt(1900))).\nAnswer: -230*sqrt(19) + 47505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (64\/10 - 6)\/(-11 - 288\/45)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16417674.\nAnswer: 2, 3, 7, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m + 1\/24*m**4 + 2\/3*m**3 + 0 - 4*m**2. Determine j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 30. Calculate the least common multiple of 492 and x(-13).\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/15 - w**4\/2 + 4*w**3\/3 + 3*w**2 + 21*w. Let q(g) be the first derivative of v(g). What is y in q(y) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564123093 to the power of 1\/3, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 109.485 and 9835.\nAnswer: 1076784.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1469.3 and -1457.\nAnswer: -2140770.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + (-82 + 37 - -34)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*s + 16*s + 8 + 43 wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 47, 128, 293, 572, 995, 1592?\nAnswer: 2393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-3 + 4)*3 + -4. Let o(h) = h**2 + h - 2. Let d(m) be the second derivative of -m**4\/12 + m**3\/6 - m**2\/2 + 10*m. Determine r*d(a) - o(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {b: 5, a: 2, u: 2, k: 2, y: 8}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 11 = -o, 5 - 13 = 2*o + 2*t. Suppose -2*c = -4*w - c + 3, c + 3 = 5*w. Let r be w - 2*(0 + -2 + o). Solve 2*v + r = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 154897461, 154897464, 154897469, 154897476, 154897485?\n\"Answer: l**2 + 154897460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 182*h - 188*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - u + 1. Let l be v(0). Suppose 4*y = 5*z + 23, z - 3 + 2 = 0. Calculate the greatest common divisor of y and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -5, -1, 8\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkn when three letters picked without replacement from knktiikntk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.4+-53.93435564\nAnswer: -57.33435564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15211257 - 34?\nAnswer: 15211223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 86566076160 and 0.1.\nAnswer: 86566076160.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -16. Suppose 9*x - 22 = q. Solve 4*i - 1 = x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*4*6\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*l**2 + 12*k*l - 7*k*w - 106*k + 17*l**2*w + 19*w - 5 wrt k.\nAnswer: -l**2 + 12*l - 7*w - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 34\/9*o**3 - 32\/9*o**4 + 2\/9*o**5 + 0*o**2 + 0*o.\nAnswer: 2*o**3*(o - 17)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - -3 - (2 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10109, 17037, 23967, 30899?\nAnswer: 37833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/7 - 400*t\/7 - 174 = 0.\nAnswer: -3, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1248 and -97.\nAnswer: -96.8752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 1 + 1 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from iiihiyzzizziieyezi.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -308c?\nAnswer: -308b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 181*c**2 + 2 - 181*c**2 + c**3. What is the units digit of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.1*989.\nAnswer: 8999.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 0)*10\/(-6). Is -3 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24578 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 207 (base 16) to base 4\nAnswer: 20013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 - 66434.757.\nAnswer: -66491.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 10*q**2 + 25*q + 17. What is the remainder when 399 is divided by m(12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122016030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*h = 11, 0 = -h + 4*h - 3. Let n be r*(-2)\/((-12)\/(-9)). Solve 3 = -3*v + n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -14. Let d(p) = p**3 - 7*p**2 + 7*p - 6. Let n be d(v). Let z = -16 + 11. What is the second biggest value in -2, n, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -20*l + 15*l, 85*l = c + 2461 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(360) - -4*(-2*sqrt(10) + sqrt(10)))\/(sqrt(40)\/(sqrt(8) - (sqrt(8) + (sqrt(800) - sqrt(800)*-1)))).\nAnswer: -160*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1581*o = 15*v - 1583*o + 1012, -4*v - 252 = -5*o for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12927.41521 - -1.61521. Round u to the nearest 100.\nAnswer: -12900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -5*l**3\/2 - l**2 + 5573*l. Let r(g) = 14*g + 2. What is 6*q(b) + 7*r(b)?\nAnswer: 8*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s. Let c(i) be the second derivative of 0 + 25\/12*i**4 + 0*i**3 + 0*i**2 + 63*i. Calculate n(c(u)).\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 2, 0, -11, 23, -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -4, -2\/17549?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l - 6 + 2*l + 2*l + 15*l**2 - 8. What is the units digit of h(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149299*n - 258810.\nAnswer: -149299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - (-6*-1*sqrt(2299) - sqrt(2299))) + (sqrt(2299) - (-4 + sqrt(2299)*-1)))*4)**2.\nAnswer: -2816*sqrt(19) + 147392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 + -65. What is the common denominator of 4\/k*76\/(-8) and -35\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/40 - (1 + 3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-267558*s - 55 - 13 + 267534*s)*(-2*s + 0*s + 2 + s)*(3*s - 3*s + s) as y + w*s**3 + a*s + t*s**2 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 137435 - 1?\nAnswer: 137434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**9\/252 - 27*j**7\/70 - j**6\/12 - 2293*j**5\/60 + 5*j**2 + 4*j + 32. Find the third derivative of t(m) wrt m.\nAnswer: -240*m**3 - 1944*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j - 38225899 = -44*j + 34871013. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**4 - 1028*q**3 - 529424*q**2 + 530448*q = 0.\nAnswer: -258, 0, 1, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -11*k**6\/3 + 15*k**2 - 15. What is the second derivative of z(l) wrt l?\nAnswer: -440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 16897586.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 907506854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753, -6429, -21845, -51873, -101385?\nAnswer: -175253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61389.3735s in weeks?\nAnswer: 0.10150359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-44)\/8)\/((-4)\/(-64)). Let d = n - -142. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2541435 is divided by 509.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 0, -2*b - 4 - 8 = 5*x. Let m be (-6)\/((-9)\/(-12)*-2). Let w = b + m. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 0, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6429 + 2904 + 2512)*(3*w**2 - 3*w**2 + 2*w**2) - 5*w**2 + 2*w**2 + 4*w**2 to c*w + u + d*w**2 and give d.\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3656*n**3 - 5*n**2 - 5*n - 15. Let q(t) = -29247*t**3 + 39*t**2 + 39*t + 117. Determine -10*q(y) - 78*s(y).\nAnswer: 7302*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hin when three letters picked without replacement from hnihrhrrrrhnohhihh.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.94 + -43. Let d = w - 0.23. Let c = 0.29000003 + d. Round c to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -49021*g + 48930*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/12 - j**3\/3 - 3*j**2 + 29*j - 18. What is n(-8)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -180, -214, -248, -282, -316?\n\"Answer: -34*y - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(7) + 0) + sqrt(7) - sqrt(7)) - (-3*4*sqrt(84))\/sqrt(12).\nAnswer: 4 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryryyyrryyryify. Give prob of picking 1 f and 1 y.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j - 4*i - 148 = 0, j = 5*i + 57. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + s - 8*s - 2*s - s**3.\nAnswer: -s**3 - 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 less than -9?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 - 186 = -34*u - 150 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-392)\/(-245))\/(416\/(-120))*-143\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -2\/11 (c) 0.3 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -2 (c) 13 (d) 0 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 28 = 7*n. Let q = n + 40. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 27 + 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2502748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 11*m + 2. Let h be j(-9). Let o = -17 + h. What is the second derivative of -2*t**5 - o*t**5 + 2*t**5 + 9*t - 3*t wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16624, 66610, 149960, 266674?\nAnswer: 416752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 5*c + 5. Let j(t) = -t**3 - 4*t**2 + t + 3. Let u be j(-4). Let q(x) = -x + 1. Determine u*i(z) + 5*q(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2333546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (4 + (sqrt(1100) - 1*sqrt(1100)))**2 + (sqrt(11) - ((sqrt(33)\/sqrt(3))**2*-5 + sqrt(11))) + 3.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 102*h**2 - 626*h\/3 + 310.\nAnswer: 2*(h - 155)*(h - 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 605829 and 0.1.\nAnswer: 605829.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017974143 to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11299708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(242) - ((sqrt(242) + -1)*3 + sqrt(242))) - (5 + (sqrt(98) - (-2 + (-2*sqrt(98))**2))).\nAnswer: -40*sqrt(2) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 14 = 3*b - 6*b, 0 = 2*v - 8. Let l be (b\/(-18))\/(3\/(-6)). Let q = 1264.8 + -1265. What is the second biggest value in l, q, -0.04?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50, -57, -60, -59, -54, -45, -32?\n\"Answer: 2*s**2 - 13*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2672981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -2\/3, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11669, -23344, -35019?\n\"Answer: -11675*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 36. What is the closest to 0 in -5, 12, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622940600 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 12509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Suppose 5 = 5*f + 5*u, -3*u + 5 - 2 = -f. Let p(q) be the second derivative of f - 1\/12*q**4 + 0*q**3 + 0*q**2 - q. Determine p(x(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 9) + (-1 - 2) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -5*d + 1\/20*d**5 - d**2 + 0 - 1\/12*d**4 - 1\/2*d**3. Determine i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 1566236*y + 1566232.\nAnswer: 4*(y + 1)*(y + 391558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 147. Let p be 72\/126 + x\/(-7). Put 3, -3, p, -4 in ascending order.\nAnswer: -4, -3, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1587947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 10 + 8)*(o - 11*o + 4*o) + 4 - 4 - 1 + 2*o.\nAnswer: 56*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7400774*j. Let r(h) = -25*h. What is g(r(t))?\nAnswer: 185019350*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -19.1. Let r = p - 6.9. Which is the third biggest value? (a) 0.04 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5721310 is divided by 3161?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**5\/60 - 5*h**4\/24 + h**3\/2 + 17*h**2 + 1. Let n(x) = -x - 2. Let c be n(2). Determine z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a0 + 14?\nAnswer: 12b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j - 74 + 20. Suppose 4*x - 1122 = j*c, x - 323 = -c - 39. Is 47 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 + 287*x - 225. Determine a(95).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1. Suppose -h + 11 - 10 = 0. Let q(v) = v - 1. Let r(t) = h*f(t) - q(t). Give r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 16*d + 300 = -91*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q*q\/((q\/(q*q*q\/(q*q\/(q**(-2\/9)*q))))\/q)*q*q)\/(q**(3\/7)\/q**(-6)))**27 assuming q is positive.\nAnswer: q**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -880 or 83659?\nAnswer: 83659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3143284 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31 times -16\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 179587391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1469804 divided by 14998\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -45. Let l = -19 + h. Is l at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5 (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-36))\/3*24\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 + 4*f + 31. Let w(j) = -9*j**2 - 5*j - 25. What is -4*w(m) - 5*y(m)?\nAnswer: m**2 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1248 and 7\/96.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four fifths of a decade?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 at least as big as 131723\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 276 + -156. Let b(y) = y**2 - 10*y - 51. Let s be ((-5)\/(-3))\/(19\/(-57)). Let n be b(s). What is the highest common divisor of n and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-82)\/10 + 16\/(-20). Let g(b) = -6*b. Let j(n) = -3*n - 3*n + 22*n - 19*n. What is u*j(q) + 4*g(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (971*m - 975*m - 1942*m)*(3*m**2 + 3 - 3).\nAnswer: -5838*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*z = -4*z + 20, 0 = 5*q + 3*z - 25. Let p = -59 - -60. Suppose b - p = 0, y + y - q = -b. Solve -5*r = -0*r + d, -y*d + 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 14 = -14. Let j(b) = 5*b**3 + 4. Let m(z) = z**3 + 1. What is w*m(g) - j(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31773 times -720.5?\nAnswer: -22892446.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 1234 = 2672. Let i = a - -818. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Suppose 0 = -2*w + w + 2. Let f(n) = -n + 7. Let r be f(6). Solve -w*j - 4*i = -1 - r, -5*j + t*i - 21 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = -5*r. Let i = -66 + 81. Suppose -3*q = r*q - i. Solve q*u - 8*u + 20 = -5*t, -u = 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*s, 5*h - 2*s + 7 = -4*s. Let n(w) = 6*w**2 - w - 3. Let g be n(h). Calculate the greatest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3*4\/(-21))\/(71\/(-1491)))\/(-1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -15. Let n(r) = 4*r - 1 + h - 4*r - 6*r. Calculate n(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**7\/14 + 4*w**5\/15 + 18*w**2. Find the third derivative of y(p) wrt p.\nAnswer: -360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 24 = d - 3*d, 4*x - 182 - 188 = -2*d - 352 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 31\/(-2)*-2*3. Suppose 2*f - 34 = 3*k, -5*f - 25 = k - g. Suppose 4*q = 2*q + 70. Calculate the greatest common divisor of f and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37485 and 6664.\nAnswer: 299880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/9)\/c*c)\/(c**5\/c))\/(c**(3\/2))**(2\/21) assuming c is positive.\nAnswer: c**(-191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:59 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 2*n - 1. Let c be z(2). Let f = 15 - c. Let s = -5 - f. Solve 4 - s = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*m - 4*n, -2*m + 3*n = 3*m + 2. Solve 0*c - m*c = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 380 and 3667?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47 - -4?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -149, -94, -37, 22, 83, 146, 211?\n\"Answer: v**2 + 52*v - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10800 (base 10) in base 7?\nAnswer: 43326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1710)\/85 - ((-132)\/(-34) + -4). Let i be (-4 - 5\/5) + c. Which is smaller: i or -51\/2?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 3. Let z be u(0). Let r = 15 - 12. Suppose r*d + 0*c = c + 4, -2*c + 19 = z*d. Solve 2*b = 1 - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1 + 34*v**2 + 2*v**3 - 36*v**2 + 6*v - 6 - 1. Let w be q(-6). What is the common denominator of (w\/144)\/(1\/(-3)) and -65\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxk when three letters picked without replacement from {d: 1, k: 2, c: 1, x: 1, h: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41868370 is divided by 55899.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u - 42. Let v be c(4). Let i be v\/16 - (-1)\/((-32)\/(-12)). Is 3\/5 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48135 divided by 16045.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and -306950.\nAnswer: -17496150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224316\/162)\/(-67)*(-9)\/6.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006684602 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -334597\/100 - -3346. Is n equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29324.\nAnswer: 2, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 0.5, 4\/7, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.9. Let r = 0 + 0. Let d = -1 + r. Is g at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h - 11. Let x be n(-3). Suppose 0 = x*z - 4324 - 2081. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l**2 + l**3 + l + 21*l**2 - 28 - 17*l. What are the prime factors of s(-9)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 0, 0.3, 3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112021 - -12?\nAnswer: 112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/12 - 26*g. Let z(o) = -4*o**2. Calculate -10*r(y) + z(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2616512806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2339*y + 87*y + 8*y.\nAnswer: -2244*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2105695*m**5 + 4835*m**2 + 3*m?\nAnswer: -126341700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w - 3, -4*w - 66497 = -5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 17. Let v = -80 - -81. What is the nearest to -1 in v, r, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300310 + 22?\nAnswer: -300222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((5 - 13) + 25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 4) + 11 - 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**3 + 195*c**2 + 1305*c + 2025 = 0.\nAnswer: -3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90a6092 - -2?\nAnswer: 90a6094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (5 - (1 - -2)). Suppose 0 = q*b + 4*b + 6. What are the prime factors of 2*(b + (-44)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(187) - -1*sqrt(187))*-1*-3)\/(-5*(-2*sqrt(77)*4)\/sqrt(7)).\nAnswer: -3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/3, -0.16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.858343 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17.74596 * 0.07\nAnswer: 1.2422172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 152, 188, 256, 362, 512, 712, 968?\n\"Answer: q**3 + 10*q**2 - q + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 232835 - 5)\/1 - 9. Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:01 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 575317 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnnnzzznnn. What is prob of sequence nzn?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*x**5 - 58347*x**2 + 942157*x?\nAnswer: -180*x**3 - 116694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4137 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i, -9 = -3*p - i. Let u be -3*(-5)\/p*-1. Let r(c) = -4*c - 7. Is r(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**2 - 2*q + 3. Let s(t) = t**2 - 1. What is i(b) + 5*s(b)?\nAnswer: -11*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -10.7.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532 (base 6) to base 9.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003446 is divided by 3221.\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000967767992 rounded to 7 decimal places?\nAnswer: 0.0000968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -11, -10, -7, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19574680.743 rounded to the nearest 10000?\nAnswer: 19570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14376?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-5))\/(1264\/(-140) + 9). Let m be (12\/(-42))\/((-8)\/u). Let j = -6 - -8. Calculate the highest common divisor of m and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 5*i**4\/16 + 9*i**3\/8 - 27*i**2\/4 + 50*i. Factor t(g).\nAnswer: 3*(g + 3)*(5*g - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 76 = -8*g - 97 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*q = 33, 2*d + q = 7 - 4. Let s = 8 + -2. Let t be 0 + (-1)\/s*1. Sort d, t, 0.2 in decreasing order.\nAnswer: d, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.7 + -2.3. Let a = -11 - t. Let m = -13.03 + a. What is m rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*q + 27*q - 79615 - 298737 = 0. What is the highest common divisor of q and 642?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 786357224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61203 rounded to 3 dps?\nAnswer: 0.612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(0*i**4 + 3*i**4 - 5*i**4) + i + 2*i**4 - i - 9*i**4 - 2*i + 2*i to the form o*i + j*i**3 + b*i**4 + h*i**2 + z and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-3) + -5 + 4. Let n = h - -3. Let a be n\/1 + 112\/(-16). Let w(k) = 10*k**2 + 7*k - 7. Let g(d) = -9*d**2 - 6*d + 6. What is a*w(x) - 7*g(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0.128, 20, 0.7, 2, 8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/25 (b) 0.28 (c) 51 (d) -1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 = -121. Let m be ((-104)\/(-24))\/((-1)\/z). Suppose 3*c - m = 342. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from eeeeeerrerrrrr?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Determine h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 2*n**3 - 3*n**3)*(-3*n + 3*n + 10*n**2) + (1 + 1 - 1)*(-2*n**5 - 8*n**5 + 3*n**5).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 12. Let g = d + 0.8. Sort g, 1\/3, -1 in descending order.\nAnswer: 1\/3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130214 divided by -3.\nAnswer: 130214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 92 + 87 - 179 + 2*h**2. Suppose 13*m - 11*m - 9 = -5*i, 1 = -i + m. What is o(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 12. Suppose -u*i = -2*i - 46. Solve m = 2*x + 9, -i = 4*x - 3*m - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 39. Let g be p(-21). Suppose -52 = i - 5*i + g*r, -i = 4*r - 13. Solve -i = 4*x - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/20 + 5*p**4\/6 + p**3\/3 + 9*p**2\/2 + 170*p. Calculate n(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-5))\/((-3)\/62). Let g = 103 + t. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2\/8 - 32107*j\/8 - 6421\/4.\nAnswer: -(j + 6421)*(5*j + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61016449.\nAnswer: 13, 4693573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/14)*t))\/t*t**(7\/2) assuming t is positive.\nAnswer: t**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x*x\/(x*(x*x\/x**2)\/x)*x*((x*(x**(2\/5)*x)\/x)\/x)**(1\/2))\/((x*x*x**0\/x)**4)**5 assuming x is positive.\nAnswer: x**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 6*z**2 + 4*z + 5. Suppose -g = g + 10. Let d be q(g). Let c = 14 - d. Solve 0*f = -5*u - 3*f + 11, -u + c*f = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (637\/35 - 18)*2*10\/(-12). Put -0.68, w, 1\/7 in ascending order.\nAnswer: -0.68, w, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, 1 t, and 1 e when four letters picked without replacement from {c: 1, u: 4, l: 1, o: 1, e: 3, t: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 7*d**2 - 3*d + 13. Let l be (-320)\/(-72) + (-60)\/6 + (-4)\/9. What is r(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(540))\/(sqrt(32)\/(sqrt(16)\/sqrt(2))))\/(((sqrt(396)*2 + sqrt(396) + sqrt(396))\/sqrt(12))\/(sqrt(11) - (sqrt(176) + sqrt(11))*2)))**2.\nAnswer: 32805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 305 (b) -38 (c) 1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7413*s = -3*f - 7411*s + 29, s = -3*s - 16 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 - 24*h - 77. Give g(-18).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1301661936+-536\nAnswer: 1301661400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z - 1. Let c(f) = f + 7. Let x be c(-7). Suppose x*h + 2*h - 2 = 0. Let n be (1 - (h - 2)) + -3. Determine s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uffu when four letters picked without replacement from {f: 4, u: 5, p: 5}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/12 - -5\/12. Suppose 0 = 3*w - 2*l + 2, -w - 2*l = 2*l - 4. Factor w + t*d - 1\/3*d**2.\nAnswer: -d*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 + 296 = 3*m - 5*g, 608 = 4*m - 4*g. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*u + 93*u - 73*u - 45*u.\nAnswer: -103*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + 152. Let n be i\/45 + 4\/(-18). Suppose -5*y - n*d + 48 = 0, -4*y + 5*d + 0*d + 22 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*g**2 - g**3 + 2*g**3 + 2*g**3 + 86*g**2.\nAnswer: 3*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 = 5*j + 11, -1 = -b - 2*j. Suppose u - 4 = -g, 4*g - 2*u + b = 37. Find the third derivative of g*t**4 + 2*t**4 - 3*t**2 - 9*t**2 wrt t.\nAnswer: 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 22. Let c(d) = -2*d + 66. Calculate 3*c(z) + 10*w(z).\nAnswer: 4*z - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, d: 3}. What is prob of picking 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:27 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 9:44 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**6\/105 + 3*j**5\/35 + 9*j**4\/14 + 4*j**3\/21 - 36*j**2\/7 + 1036*j. Suppose r(p) = 0. What is p?\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.7 - -224.3. Is 5 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 103, 104, 105?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 28*u**2 + 1826*u + 3772. Determine g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 4, n: 1, m: 6}. Give prob of sequence vdmd.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7477512 divided by -6.\nAnswer: 1246252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.18 - -9.38. Sort 0.197, -0.2, 0, p in ascending order.\nAnswer: -0.2, 0, 0.197, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -82813.\nAnswer: -33125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2134*m*v*z - 4*m*v + 90*m + v wrt z.\nAnswer: -2134*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -657 (b) -2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**2*l - a**2 + a*l + 4*a - 91*l wrt a.\nAnswer: -10*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**3*w**4 + 44*c**3 - 7*c**2 - 15*w**4 wrt w.\nAnswer: -24*c**3*w**3 - 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 15441 - 3976 = -7191. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjy when three letters picked without replacement from wyjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1\/508356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - j + 54. Let b be u(0). Is 28140\/b - (-6)\/(-54) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857*x**3 - 1465*x + x**2 + 1465*x - x**2.\nAnswer: 857*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789855371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12*(-1)\/11 + -4. Is t at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + 0 + (6 - 3 - 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*p + 220, p = -0*p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + l - 6)*(-4 + 4 + 1).\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*u - 615 + 143 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -4.3671?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (18 - 8 - (1 + 19)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021230827 rounded to seven dps?\nAnswer: -0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 6:39 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 240725 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 20. Let j = w + -20. Factor -9\/2 - 1\/2*a**2 - j*a.\nAnswer: -(a + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1764, -1780, -1784, -1770, -1732, -1664, -1560?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-239*o**3 - 324*o**3 + 187*o**3)*(-1 - 1 + 0)*(-o + o + o).\nAnswer: 752*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 176?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q**2 + 35220*q - 351003. Calculate v(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215807221 divided by -2303.\nAnswer: -93707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 5*i = 2*q + 13, 2*i + 1 = -5*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34883992.\nAnswer: 2, 11, 13, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -14*k**3 + 2*k - 9. Let j = 4140 + -4127. Let t(p) = 7*p**3 - p + 4. Calculate j*t(z) + 6*f(z).\nAnswer: 7*z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.31 - -0.69. Let u be (-3)\/(-4) - (-57)\/(-12). Suppose -4*o = 20, 2*l + l - 34 = 2*o. Which is the second biggest value? (a) w (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007319 rounded to 5 dps?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l - 9. Suppose 5*s + m = -276 - 98, -5*s - 5*m - 370 = 0. Let g = 58 + s. Does 25 divide u(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8 = z. Suppose 6 = 3*s - 2*c, -s + c - 1 + z = 0. Suppose -s*x = 2 - 102. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 43 - 1 + 43 + 46 + 1156*q. Is r(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -6\/47 (c) 0.044 (d) 0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2971, -3183, -3395, -3607, -3819, -4031?\nAnswer: -4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9844 divided by 3?\nAnswer: -9844\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**17*z*z**10*(z\/z**13)\/z*z**(-11))**(-41) assuming z is positive.\nAnswer: z**(-164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2531093 - 0?\nAnswer: -2531093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1))**(27\/7)\/((((u\/u**(1\/23))\/u)\/u)\/(u**(-1)*u)) assuming u is positive.\nAnswer: u**(24\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 17*i**2 + 8*i - 11. Let k(n) = 27*n**2 + 12*n - 17. Calculate -8*f(j) + 5*k(j).\nAnswer: -j**2 - 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a millisecond in microseconds?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3164?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4826531 meters?\nAnswer: 482.6531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 218196 divided by 4\nAnswer: 54549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 1\/6*i**3 - 1 - i - 1\/12*i**4 - 1\/2*i**2. Let u(b) be the first derivative of p(b). Determine u(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899888517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866 divided by 4?\nAnswer: -933\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -369 + 0*z - z - 138 - 190*z**4 wrt z?\nAnswer: -760*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from llglgllllgejlglll.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 not equal to 1047\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -29*o**5\/5 - 7*o**4\/4 + 685*o**3\/3 - 555. What is the third derivative of q(p) wrt p?\nAnswer: -696*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0822031 rounded to 3 dps?\nAnswer: 1.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 5*x + 12. Let s be d(-7). Let q(a) = 8*a**4 - 9*a**3 - 5*a**2. Let l(j) = j**4 - j**3 - j**2. Let h(f) = s*q(f) + 18*l(f). Factor h(t).\nAnswer: 2*t**2*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Let y be q(1). What is the third derivative of 13*c**6 + 0*c**6 - 25*c**y + 7*c**2 wrt c?\nAnswer: 1560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**2. Let d(c) = -c**3 - 11*c**2 - 9*c + 12. Let u be d(-10). Let s be 3 - (-3 + u) - 2. Let a(m) = -s*m**2 + 19*m - 19*m. Give a(q(x)).\nAnswer: -162*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311521 is divided by 3799.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20497\/138876540 - -322434239927167\/45596084489340. Let g = c - -2\/46903. Find the common denominator of g and 382\/(-40) + 4\/16.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 7*o**2 - 6*o - 22. Let x be w(-7). Suppose 5*j - t = 27, 4*j - 30 = -3*t + 8*t. What is the greatest common divisor of x and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (sqrt(55)\/(sqrt(11) + sqrt(1331)) + 4*(sqrt(5) + sqrt(180)))*2).\nAnswer: 18 + 337*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 11*p**2 - 12*p + 2. Give u(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 11, 21, 35, 53, 75?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 489\/4484 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:28 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -666*h - 51. Let m(y) = -445*y - 34. Let b(k) = -7*m(k) + 5*t(k). What is the hundreds digit of b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -5, -2, 1 in descending order.\nAnswer: 4, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209\/820 - 1\/205. Which is the nearest to j? (a) -5 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, q: 7, s: 6}. Give prob of sequence qqsq.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -793201, -793199, -793197, -793195, -793193, -793191?\n\"Answer: 2*g - 793203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 13, i: 3, h: 2}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 7*p**2 - 2*p - 19. Suppose 3*i - 11 = -j, 18 = -26*i + 29*i. Give r(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*i = -4, i + 3 = 3*z - 3. Let p(v) = -6 - v**z + 0*v**2 + 3*v**2 + 33*v - 26*v. What are the prime factors of p(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 30 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -67. What is the closest to 0.1 in -2, 0.14, n?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 4*a**2 + 2*a**2 + 3566*a**3 - 2*a.\nAnswer: 3566*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/50271 and -95\/1452.\nAnswer: 24331164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/(-2))\/(-30))\/(-2)*16*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4 + 209\/(-152). Put -1\/5, 1, a, -1 in ascending order.\nAnswer: -1, -1\/5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8ac93b - 20?\nAnswer: -8ac95b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/4 - 185*k**4\/2 + 184*k**3 + k**2\/2 - 737*k\/4 + 92.\nAnswer: (k - 368)*(k - 1)**3*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.0765 + 2.090471. Let o = -0.514 - -0.5. Let q = a + o. What is q rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24*g*(g**(4\/7)\/g)\/g)**(-16) assuming g is positive.\nAnswer: g**(-2640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 124*q**2 + 1059*q - 17. Give w(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 - -327. List the prime factors of a.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 > 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-8*f - 6*f + 31*f - 4*f + 4*f + 2*f + (0 - f + 0)*(4 - 4 - 1) - 4*f - f + 3*f)*(-3*f - f + 6*f) in the form r*f**2 + m + o*f and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 9. Suppose -3*y = m + 11, 5*m - 3*m = -2*y - 6. What is the smallest common multiple of y\/2 - (-2 - 9) and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 57779*f**3\/3 - 11*f**2 + 4*f. Let p be t(9). What is p rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 4:04 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -39, -5, 43, 105, 181, 271?\n\"Answer: 7*q**2 - q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 9*s - 54. Suppose 0 = z + 2*i - 40, -4*z - s*i = -2*i - 130. 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: Calculate the lowest common multiple of 296655 and 4.\nAnswer: 1186620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 7:03 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**23*(h*h**(-4))\/h)**47)**14 assuming h is positive.\nAnswer: h**12502","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3 - 194*a**4 + 145*a**4 + 240*a**4 - 9*a**2 - 16 wrt a.\nAnswer: 4584*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4 - 30*v**3 - 150*v**2 - 250*v = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:06 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 5592*u**3 - 144716*u**2.\nAnswer: -u**2*(u - 5566)*(u - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 1454553.\nAnswer: 31\/1454553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 48*j**2. Suppose 31 = 2*l + 33. Let m(d) = -d**2. Calculate l*g(a) - 36*m(a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/9)*k**(-3\/13)*k**(-3)\/k**(-7\/4) assuming k is positive.\nAnswer: k**(-589\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 6. Let i be b(-7). Suppose 4*u - 2*h = 2*h - 20, -5*u + 4*h - i = 0. Is -1\/14 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/((-5)\/(-20)). Solve -z*o + 2*o = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -a - 14, -5*a - 12 = -5*l - 2. Suppose -273 = -3*m - v + 4*v, m = -l*v + 103. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 + 222*z**3 - 8271*z**2 - 8922*z + 16968 = 0. Calculate z.\nAnswer: -101, -2, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-2)\/4)\/(-1))\/(2\/500)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.99 + -0.01. Which is the second smallest value? (a) -1\/3 (b) -1\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((-68)\/(-36) + -3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:42 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-20)\/6 - (10 - (-535)\/(-69)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 16) to base 15.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*z**2 + 94*z**2 - 234*z**2 + 78*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5054676 and 1360.\nAnswer: 1718589840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 2, i: 1, k: 1, x: 1, t: 1}. Give prob of sequence ybby.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/121 + (-18)\/(-99)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*a - 5*a - 19, -5*a = -4*j + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 - 2697*z**4 - 10818*z**3 - 16242*z**2 - 10833*z - 2709.\nAnswer: 3*(z - 903)*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/((((-16)\/(-320))\/((-2)\/(-12)))\/((-1)\/(-5)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -221*c**2 + c. Let l(g) = g**2. What is j(l(s))?\nAnswer: -221*s**4 + s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = 5*n + 5, -n = 3*i - 19. Let m be (27\/24)\/(2 - 2\/n). Factor 0 - 2*c**2 - m*c**3 - c.\nAnswer: -c*(c + 2)*(3*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 6*h**2 + 7. Let i(u) = -9*u - 9. Calculate the least common multiple of s(6) and i(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, l: 7, j: 1, s: 4}. What is prob of sequence cu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4789\/14349 + 2\/4783. Let o = -2\/31 + 39\/124. What is the smallest value in o, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180492733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 38 - 345*r - 340*r + 681*r. Let n = 2 + 7. Let g be l(n). Solve -c = -g*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 13 = -3. Suppose -f*y + 17 + 3 = 0. Calculate the remainder when 14 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1355 - 1347. Solve 3*j = -a - 1 + 6, -2*a - 4*j = -v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*d - 6194 = 0, 2*d + 1540 = -h + 7*d. Round h to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001312 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -3) + -68 + 2*-1. Let s = y - -105. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 1 a when three letters picked without replacement from {z: 1, k: 11, a: 7}?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6333529989.\nAnswer: 3, 31, 1613, 42221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - 11010?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26768)\/40*(-29016 + 1). Let q = c + -13616838. Suppose j = 3*j + q. Round j to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 3. Let j be c(5). Let s be 38\/12 - (-3)\/j. Let p = 0.1 - 0.2. Sort 3\/5, s, p in decreasing order.\nAnswer: s, 3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4330.79 + 4370. Round y to 0 dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4516 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 -30 - 4043?\nAnswer: -4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.05 + 1. What is the second smallest value in 0.4, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -1949*j**5\/12 + 1309*j**4\/3 - 1679*j**2. Find the second derivative of a(k) wrt k.\nAnswer: -19490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 6*c**2 + 2*c - 9. Suppose 2*z - 3*x - 18 = 0, -3*z - 5*x + 3*x + 1 = 0. Let w be -9*(2 - 3)\/z. Suppose w*s - 30 = -2*s. What is k(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h - 1. Suppose 2*i = -i - 3. What is the lowest common multiple of d(i) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2442*w**3 - 11*w**3 - 4 + 2 - 6556*w**3 + 3.\nAnswer: -9009*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 - 8) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from etkjttqet.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqsws. What is prob of sequence nsq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:57 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(-24 - 36*m**2 + 62 - 46) to the form f*m**2 + l + b*m and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**8\/1176 + g**6\/140 + g**5\/105 + 7*g**2\/2 - 10. Let i(x) be the second derivative of d(x). Factor i(b).\nAnswer: -2*b**2*(b - 2)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8212 is divided by 2735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxzh when four letters picked without replacement from {h: 2, z: 2, x: 7}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000098 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v - 2*v)*(-200 + 611 + 344).\nAnswer: -1510*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-3)\/(-18)*-3. Suppose 37*j - 38*j + 2 = k. Calculate the remainder when 12 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009476 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 take away -50669.479?\nAnswer: 50615.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -3*n**2\/2 + 16*n + 4016. Let t(c) = 26*c. Give u(t(k)).\nAnswer: -78*k + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, a: 2, p: 3}. What is prob of sequence pl?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -483007 - -2415014\/5. Let p be (-1 - (-10)\/11)*2. Which is the biggest value? (a) w (b) 0.3 (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*t**4\/7 - 76516*t**3\/7 - 261484*t**2\/7 + 6004*t\/7 + 332328\/7 = 0.\nAnswer: -227, -3, -122\/83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z. Let f be x(6). Let c(i) = i**2 + 8*i - 3. Is c(f) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 377, 214, 5, 7 in descending order.\nAnswer: 377, 214, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p + 35*p**5 - 15*p**5 - 16*p**5 wrt p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, -2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4 + 0 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)\/(1\/(-5)). Let o = 5 + n. Suppose 5*z + 2*x - 11 = o, -2*z - 2*x - 3 = -5. Calculate the highest common factor of 2 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -782?\nAnswer: -1\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - -5 - 1) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 + 1112*z**2 + 8800*z + 17536 = 0. What is z?\nAnswer: -548, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - (-3 - -12))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 17*a - 2. Give r(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5\/7 - 4794*c**4 + 100662*c**3\/7 - 100658*c**2\/7 + 33552*c\/7 = 0.\nAnswer: 0, 1, 16776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 274, 265, 256, 247?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 7662744?\nAnswer: 38313720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 16, a: 2}. What is prob of sequence ca?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**5\/10 + 17*y**4\/12 + 2*y**3 + 15*y**2 - 639*y + 2. What is k(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -11*s**5 + 42*s + 76. Differentiate l(n) with respect to n.\nAnswer: -220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 0, -9, 11, -13, -3 in decreasing order.\nAnswer: 11, 0, -2, -3, -5, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/15, -2\/75, -0.3, -0.4?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2862*b - 552*b + 1602*b - 1398*b + 3068*b to v*b + i and give v.\nAnswer: 5582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 + 11*a**3\/3 - 157*a**2\/3 + 107*a - 30 = 0. What is a?\nAnswer: -10, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/5*2\/(-3)*18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 30 + 26)*(-16*s**4 - 15*s**4 - 23*s**4).\nAnswer: -5022*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**2 + 7. Let c(g) = -g**2 + g + 1. Let a = -21 + 23. Let p(z) = 7*z**2 + 2*z - 6. Let m(q) = a*c(q) - p(q). What is 6*m(f) - 7*s(f)?\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r - 4. Let v be (4*3)\/4 - -2. Suppose 3*t - v*t = -22. Calculate the lowest common multiple of k(-4) and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26489?\nAnswer: 26489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-20) + 37\/(-185).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 6*a - t - 707, -3*a - 435 = -3*t. Let z = a - -285\/2. Put -2\/23, -0.5, z, -16\/11 in descending order.\nAnswer: z, -2\/23, -0.5, -16\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(-110)\/33. Suppose 0*a = -q*a - 2*i + 441, -348 = -4*a - 4*i. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z - 630 = -100*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.075*-0.038\nAnswer: -0.04085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1027029 by 342343.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 33\/794 (b) -6 (c) -1\/3 (d) 2 (e) -2 (f) 2\/323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:21 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362871 - 0.0952.\nAnswer: -362871.0952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62242 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (14 - 2 - (42 + -31 - -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/805 and 23\/7.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -42. Let n = 79 - 76. Solve -v*k + 0 = -n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375, 448, 1831, 3786, 6325, 9460?\nAnswer: 13203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28186679.259 and 0.4931?\nAnswer: 28186678.7659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -30. Let m be y\/(-3) + (-3)\/(-9). Suppose -4*w + 4*a + 56 = 0, w - 3*a + m = -8*a. Solve -4*o + w = u, 3 = 5*o + 5*u - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 5*x**2 - 2*x - 7. Suppose 942*j = -3*d + 937*j - 7, -2*j = -5*d - 22. What is o(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:55 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 313 + -220. Let l(o) = 345*o**2 - 1. Let w be l(-1). Let r = w - c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 divided by -4?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 1. Let v(b) = -2*b + 1. Let d = 12 - 8. Let m(i) = d*v(i) + 3*r(i). Find the first derivative of m(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 2 - 4*z - z + 0*z + 2*z**2. Let h(c) = -2*c**2 + 5*c - 2. Let i(b) = -4*h(b) - 3*y(b). What are the prime factors of i(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 0. Suppose 0 = -a*z - z + 223. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 4\/3*m**3 - 6*m**2 + 0 + 7\/24*m**4 + 0*m. What is the first derivative of l(s) wrt s?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + (sqrt(1000) - sqrt(1000)*-2))\/(sqrt(180)\/sqrt(4)))**2.\nAnswer: 1922\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -603*h**3 - 8*h**2 - 10*h + 9. Is w(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-2) + -41 + 16. Let k = z - -34. What is the third derivative of -5*p**2 + k*p**2 + 2*p**2 - 3*p**3 - 2*p**2 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + (-275 + 287 - (4 + -4 + 11))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*t**3 + 55*t**2?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 0.89. Let n = -1 - x. Suppose -3*l - 15 = 3*q, -5*l - 11 = 4*q + 14. Which is the closest to 1\/4? (a) -1\/3 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*k = -21*k - 2*i + 852, 5*k + 460*i - 51 = 464*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 14*w**2 + 330*w + 3*w**2 - 277*w + 682*w to g + b*w + h*w**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9184780\/16 + (-3)\/4. Let s = -1194048 + t. Round s to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10450 and 17600.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 570545595 a multiple of 1905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 50 - 43 = 0, 3*l = 5*j - 88734. What are the prime factors of j?\nAnswer: 3, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*c - 0*g - 34, 0 = -3*c + 4*g - 65. Let x = c - 32. Let t = 106 + x. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13202, -12153, -11104, -10055?\nAnswer: -9006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*m - 61*m = 318 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 6*i + 2. Let b be k(5). Let d be 9*1*(-6)\/b. Suppose 22 = -2*g + d*g + 5*y, 10 = 3*g + y. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/5 + 3 + -3. Is b at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5594522?\nAnswer: 2, 619, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10324*j**2 - 116*j**3 + 11092*j**2 - 265*j - 4*j**4 + 32121*j + 0*j**4 + 30976 = 0.\nAnswer: -22, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 15*o - 5. Let d(c) = c**3 - 17*c**2 + 6*c - 92. Let n be d(17). Let b be k(n). What is the greatest common factor of 165 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d + 23. Let a be u(4). Sort a, 5, 3.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 27*b - 9. Suppose 5*t + j = 72, -3*j - 65 = -4*t - 15. Let w be h(t). Let k(y) = y**3 - 4*y**2 - 4*y. What is k(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1621216163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 45. Let h = 24 - t. Solve 29 + 5*j**2 - 4*j + 34 - h - 26*j = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 445*f + 638. What is t(-224)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45317\/57 + 795. Let i = -533\/5 + 107. What is the biggest value in v, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1759753346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127990199 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j. Let p be 117\/26 + (-20)\/8. Let n(l) be the third derivative of 1\/60*l**5 + 0*l + 0 + 0*l**4 + 0*l**3 + 2*l**p. Determine y(n(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*f - 40, -4*f = -0*q - 5*q - 37. Let b be (-3)\/(q\/(-12)*-2). Suppose 0*z = -b*z. Solve -m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2791 - 655 + 2883 = 181*b - 1316 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 162, 429, 694, 957, 1218?\n\"Answer: -j**2 + 270*j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - 4 - (-13 + 9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 301*b**2*s**3 - 44*b**2*s**2 + 29666*s**3 wrt b?\nAnswer: 602*b*s**3 - 88*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = -3*b - 7, -2*d = -3*b - 1. Let y(v) = -v - 1. Let t be y(-3). What is the second derivative of -t*p**d + p + 2 - 2 wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 54.37 and -43.442025195.\nAnswer: 10.927974805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v. Suppose 5*q - 4*m = -2*m, -3*m = v. Suppose -1597 = -5*z + 2*a + a, q = 3*a + 12. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -866350, -866351, -866352, -866353, -866354, -866355?\nAnswer: -866356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 19. Let j be n(10). Let y be j\/(36\/(-8))*-2. What is the closest to -5 in 2, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g. Let o = -22 - -10. Let y = 43 - o. Let v(r) = 5*r - 6. Let c(q) = 45*q - 55. Let x(l) = y*v(l) - 6*c(l). Determine x(z(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*h - 110, -7*h + 259 - 160 = 4*s. Solve -3*p + 4*n + 23 = 0, 3*p - p + s = -5*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 4*p + 143*o + 350 = 1049, 4*p = o + 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21269\/7 + -3046. Find the common denominator of (-8)\/(-20)*4247\/1116 and g.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = 5*f + 10*t, 3*f + 3*t = -30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:44 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-26 - -6) + 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/184 and 101\/4310.\nAnswer: 396520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - 3dba4?\nAnswer: -3db77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 17*f**2 - 9*f + 2. Let c(z) = -14*z**2 + 8*z - 2. Let l(u) = -6*c(u) - 5*h(u). Let r = 5 - 3. What is l(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/21*(-6)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 3*h + 8*h - 8*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**5 + 39972*x**4 + 3432782*x?\nAnswer: -40*x**3 + 479664*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45702?\nAnswer: 2, 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014518 to 7 dps.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -13. Let o(c) = 3*c - c - c - c**3 + c**2. Let m be o(t). Is 0.1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/35)\/(128\/(-2240))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-795 - -790) + -18 + 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 + 7. Let t = o - 0.1. Let c be -1 - ((-22)\/22 + (-8)\/(-2)). What is the second biggest value in c, -0.5, t, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 + 4*k + 1. Let a(l) = 14*l**2 + 11*l + 3. Let y be (-6)\/(-24) + 11\/4. What is y*a(s) - 8*q(s)?\nAnswer: 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*(-572)\/(-40326)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(sqrt(91)*2 + sqrt(91)))\/(6*sqrt(7)*-1) + ((sqrt(91) + -1*1*sqrt(91))\/(sqrt(112)\/sqrt(4)))**2.\nAnswer: 4 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f - 4. Let t be l(2). Let m = t + 40. Suppose 10*s - 5*s = 0. Solve 20 = -3*b - 2*b, -4*u - b - m = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*h = -2 - 1, -5*u + 45 = -5*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -8, 6, -4, 1, 2 in increasing order.\nAnswer: -17, -8, -4, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(25) - -6*(sqrt(25) - sqrt(100)\/sqrt(4))) + sqrt(25))\/(4*sqrt(5)*2) - 2*((sqrt(5) + -1)*-6 + 2)))**2.\nAnswer: -931*sqrt(5)\/2 + 17781\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*i - 35, 0*i + 23 = 4*i - 5*h. What is the remainder when (116\/i)\/((-2)\/(-12)) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9 - 8)*(-5*z + 5*z - 3*z**2).\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 35*u**3 - 96*u**2 - 195*u - 15. Calculate z(-2).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(10\/(-3)))\/(144\/1440). Suppose 0 = -2*r + 4*r + 8. Let w be 1\/((-8)\/(-6))*-4. Put w, r, j in decreasing order.\nAnswer: j, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 98*g = -2733 - 599 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4*t**2 - 2*s**3*t**2 - 3241*s**3 + 2977*s**2*t - 2*s - t**2 wrt s?\nAnswer: -24*s*t**2 - 12*t**2 - 19446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 + 240406*c\/3 - 240400.\nAnswer: -2*(c - 120200)*(c - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is (-11*(-6)\/990)\/(5\/25)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.644584711 to three decimal places.\nAnswer: -0.645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2743 - -2771. Solve -1 + 57 = -g*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -308, 1, -1, -2\/5, -52\/11, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675992992 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 78. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 14*j**4\/3 + 34*j**2 + 74*j + 78. Let s(h) be the first derivative of x(h). Differentiate s(i) with respect to i.\nAnswer: 112*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -534, -2147, -4834, -8595, -13430, -19339, -26322?\n\"Answer: -537*w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 122834217 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5\/(-4) - 5562\/(-24))\/(-4140 - -4142).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-65) - (-134583)\/(-5161)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**2 - 153*u - 8. Determine w(19).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11833 or 47331\/4?\nAnswer: 11833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*z + 5 = -3*s + 107*z, -2*z + 4 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7263.472 decades to millennia.\nAnswer: 72.63472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15032*c - 3 + 2 - 15042*c + 30077*c + 1.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*c - 4, -d + 1 = -c - 0*c. Suppose -3*g + 6 = f - d*g, -3*g - 24 = -f. What is the remainder when 44 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11767*z + 5883*z + 5884*z + 2692*z**2.\nAnswer: 2692*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90? (a) -5 (b) 2 (c) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 4*i**2 - 3*i - 3. Let l be d(3). Let m = l - 51. Solve m = 2*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:07 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 5727429.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 33*s - 2. Let c(i) = -6*i**2. What is c(z(o))?\nAnswer: -6534*o**2 + 792*o - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 - 46*x**4 - 398*x**3 - 1586*x**2 - 2800*x - 1568 = 0. Calculate x.\nAnswer: -7, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3221 divided by 2.\nAnswer: -3221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 - 8*w - 3. Let b(g) = -2*g**2 - 8*g - 2. Give -5*b(m) + 4*j(m).\nAnswer: -2*m**2 + 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -67*q + 91. Let u(b) = 22*b - 34. Let n(c) = 3*o(c) + 8*u(c). Give n(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1152) + 5 + sqrt(32) - sqrt(192)\/sqrt(6)*1)**2 + -2 + -2)*3.\nAnswer: -21114 - 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 15\/8, -1, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117270099 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*h, 2*h + 1 = -3. Solve -22 = 4*i - u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Suppose 4*s = s + 6. Let r(p) = 2*p - s*p + p - 2*p. Let v(m) = 6*i(m) + 5*r(m). Let c(f) = 8*f**2. Determine v(c(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from tttjjtjjjtjtjjjt?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -13, -32, -69, -130, -221, -348, -517?\n\"Answer: -q**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (317*w**2 - 2 - 141*w**2 + 198*w**2)*(-1 + 4 - 2)*(1 + 0 + 7) to the form l*w**2 + c*w + m and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135072 is divided by 220.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.620371l to millilitres.\nAnswer: 620.371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1679404*0.3\nAnswer: -503821.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4 + 2088*r**3 - 513486*r**2 + 24879960*r + 267014475 = 0.\nAnswer: -897, -9, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 59*w**2 - 4230*w + 497. Calculate a(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - h + 3)*(15 - 10 + 16)*(h - 4*h + 5*h + (2 + 1 - 5)*(60*h - 6*h + 12*h)) in the form c + x*h**2 + w*h and give x.\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*y, y + 1 + 1 = 0. Suppose d*v = 6*v. Let w = 3 - v. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -2\/9 (c) 0.57 (d) 3\/2 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 489930.1 millennia?\nAnswer: 5879161200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 4. Suppose -102 = -12*q + 15*q. List the prime factors of q*1*w\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1321 divide 11051486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675216\/161 equal to 10405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -528.\nAnswer: -527.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(121)\/(sqrt(11) - -2*sqrt(11)) + 5 + -1*sqrt(176))**2.\nAnswer: -50*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:28 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159.9 + -160. Let k = 0.1 - 5.1. Let j be (12 - 2)*(-2)\/5. What is the nearest to f in k, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 2*f. Let g(y) be the third derivative of 0 + 0*y**3 + 0*y + 1\/24*y**4 - 6*y**2. What is -7*g(q) + 2*v(q)?\nAnswer: -2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 52939*x - 105007*x + 52068*x + 4*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -15, -13125, -0.3 in increasing order.\nAnswer: -13125, -15, -0.3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 34. Calculate the remainder when 82 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203\/4 - 228\/5. What is the common denominator of h and 137\/(-12) + (-7)\/(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/4 - 3*w\/4 - 299\/2 = 0?\nAnswer: -23, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 + 3*r - 1. Let b be g(7). Let l = b + -32. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 13. What is the smallest value in -7, n, 1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1750 and 12901630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253 + 137 - -147 - (1 - 7 - 1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 8*o - 14. Calculate d(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.05 - 8. Let g = z + -0.35. Let v = -699 + 696. Which is the second smallest value? (a) 0 (b) g (c) v (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/((-7)\/(-2)) - -1. Let i be a + 0 - 150\/(-144). Let d be 4 - ((-105)\/(-15) - (3 + 0)). Which is bigger: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3486493?\nAnswer: 227, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*q + 4*y, 25 = 2*q + y + 21. Suppose 25*d - 23*d - 48 = q. Which is greater: d or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = 11. Solve l*a = a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 19*q**2 - 1. Let u be m(-1). Let a(b) = 87*b + 720. Let t be a(-6). Calculate the greatest common divisor of u and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90334 + 90333. Let n = -17 + 9. Which is the third smallest value? (a) m (b) 0.2 (c) 0 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 24 + 21 = 0. Let u(p) = -g*p - 3*p**3 + 7 + 7*p**2 + 1 + 4*p**3 + p. Let j be u(-8). Calculate the greatest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5242336459?\nAnswer: 5242336459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 233233210?\nAnswer: 233233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/b**(-2)*b**(2\/7)\/(b\/(b*b\/b**5)))**(1\/27) assuming b is positive.\nAnswer: b**(-68\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o)**(-5\/7) assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-17)\/6 - (-3 - 0)). Let d = w - 1\/6. Let p = 475\/4 + -118. What is the nearest to 0.1 in p, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3 + 286589124*g**2 + 10266666035975040*g + 20533330925593600 = 0.\nAnswer: -71647280, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4)*(-99 + 36)\/((-18)\/(-12))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.37111993 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (111\/2)\/((-6)\/(-8)). Let r = o + 50. Suppose 140 = 2*d - 0*d - 3*a, 2*d + a - r = 0. What is the highest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17, 1, 58059?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 599430 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 41*r**2 + 252*r + 145. Calculate k(47).\nAnswer: -1265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2 + 1164*d + 2332 = 0.\nAnswer: -2, 1166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:51 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 2\/3*q**3 + 0 + 0*q + 1\/8*q**4 + 3\/4*q**5 + 23*q**2. What is the hundreds digit of t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 11956868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:44 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*g + 27*g**2 - 376*g + 17*g**2 - 50*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184518 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + 35 + (-60 - 28)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -18. Let b(c) = c - 108. Let s(o) = b(o) - 6*g(o). Let z(n) = -2*n + 6. What is -s(r) - z(r)?\nAnswer: r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/4 - 3*u\/2 - 9\/4 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-6)\/((-36)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3332 = -5*i + 2633, 4*j + i = -5935. Let v = -1016 - j. Calculate the greatest common factor of v and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-3)\/(-1))\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 46*d - 177. Give a(2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + -9 + 6 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 199084746.5 to the nearest 10000.\nAnswer: 199080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(12 + 15 + 11)*(-1 + 1 + 2*f).\nAnswer: -76*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8011.9 - -8012. What is the nearest to t in -6, 2\/3, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(-5))\/w)\/w)\/w*w\/((w*w**(-2\/5))\/w)*((w**4\/w)\/w*w)\/((w**(1\/6)*w*w*w)\/w))\/((w*w**(1\/3))\/w*w**7)**48 assuming w is positive.\nAnswer: w**(-10703\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42871429.\nAnswer: 19, 1429, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (78 + -41 + -14) - (-1 - -2 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, 2\/13, 1\/8 in descending order.\nAnswer: 230, 2\/13, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 + -235. Calculate the remainder when 143 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l - 3. Let v(z) = 4*z - 4. Let s(n) = 5*t(n) - 6*v(n). Let p be s(-7). Suppose 3*a = -p*a + 120. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29716 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*b**3*u**3 - 15583*b**3*u**2 + 4*b**2*u**2 - 3404*b*u**4 wrt u.\nAnswer: 108*b**3 - 81696*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 1095?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 8*q + 6. Suppose -87*b - 367 = -19. Give r(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.1. Let x be (10\/4)\/((-5)\/10). Sort 4\/5, f, x.\nAnswer: x, f, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2 - 3*z - 3. Suppose -4*j = -m + 8, -2*j + 2 = -3*j - 4*m. Let c be r(j). Suppose 0 = -2*y - 9 - 1, y = 2*a - c. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - 22*-7)*(-8)\/(-16) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21012200 (base 3) in base 11?\nAnswer: -3a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 61*b**6\/120 + 17*b**3\/3 - 9*b**2 + 2. Find the first derivative of c(m) wrt m.\nAnswer: 183*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or 98814?\nAnswer: 98814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - y = 21*v + 8, -8 = 2*v + 2*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 = 17. Let r be (m - -3)*2\/6. Put r, -5, 5 in descending order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = 0. Suppose -2*o - 2*y + 24 = v, -4*o + 1 + 29 = -2*y. Suppose o*b = 8*b + 6. Calculate the smallest common multiple of 8 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -24*o**2 + 293*o + 112. Let s(h) = 9*h**2 - 98*h - 37. Let l(x) = 2*p(x) + 7*s(x). Determine y so that l(y) = 0.\nAnswer: -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41160\/5488*(-9)\/5.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -855*i**2 - 75*i - 75. Let h(n) = 23*n**2 + 2*n + 2. Let p(o) = -75*h(o) - 2*x(o). Let j(a) = -43*a. Calculate j(p(v)).\nAnswer: 645*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is -2819505 less than -2819490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17733\/7 + 297849\/119. Let h = 6526\/187 + t. Solve 112\/11*g + 10*g**2 - h*g**3 + 24\/11 = 0 for g.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8787 (base 10) to base 2.\nAnswer: -10001001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17e + -1?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 4, -5, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = -3*r + 19*q - 12, -24 = 25*r - 4*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0.05858.\nAnswer: 3.94142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 257722.523 * -4\nAnswer: -1030890.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2 - 12*k + 2. Suppose -4*b + 12 = -2*b. Let v be a(b). Let d = -18 - v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -s - 5*f, -s - 5*f + 90 = s. Suppose -3*v + s = -31. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7107016 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -405 - -2002\/5. Let l = 4 + x. Let p = 49 - 246\/5. What is the closest to -1 in p, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317444 is divided by 158712?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89892218 is divided by 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 444 = 41*n. Calculate the highest common factor of 564 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5901 = -3*o + 22104. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 1 (c) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2187849632 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 133*i - 1202. Let u be x(9). Let b(c) = -26*c + 6. Calculate b(u).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8) + (-882)\/4. Let n = g + 312. Let y = n - 60. Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 1\/60*o**5 + 1\/360*o**6 + 0*o**4 + 2*o**2 - 2\/9*o**3 + 0 + 0*o. Find v, given that z(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (10 - (6 - 3)) - 22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-36))\/((-2)\/(-12)) - -1. Put 0.3, x, 4, -1 in descending order.\nAnswer: 4, 0.3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 5*s**2 - 4*s**2)*(4 + 0 - 2)*(-5*s + 75*s - 2*s).\nAnswer: -272*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6674319, 13348638, 20022955, 26697270?\n\"Answer: -q**2 + 6674322*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + s + s + 2*s**3 + 4*s**4 in the form i*s**2 + y + x*s + q*s**4 + g*s**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.07994 * -1\nAnswer: 0.07994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -691*i**2 - 576*i**2 - 74*i**2 - 361 + 320*i**2 wrt i?\nAnswer: -2042*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -51.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181\/1177 + 3\/107. Let s(r) = -2*r - 17 + 13 - 12. Let v be s(-8). Are v and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 - -5056?\nAnswer: 5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 96 = 5*b. Suppose -4*w - 4*o + 3 = -21, -4*w + b = o. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31\/7 - (-36)\/(-84). Suppose 3*i - z*i = -28. Let p = i + -26. What is the smallest common multiple of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**6 + o**4 - 1. Let d(u) = -9*u**6 + 22*u**5 - 4*u**4 + 24*u**2 - 1. Let s(k) = d(k) + 4*w(k). What is the third derivative of s(z) wrt z?\nAnswer: -120*z**3 + 1320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -766, -767, -768, -769?\n\"Answer: -m - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from dapmcpmacmdcpcdcmrmm.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:59 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11213301 (base 4) in base 6?\nAnswer: 254333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 1078416?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1860667 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3\/4, -10, -0.04, 43, 0.1 in descending order.\nAnswer: 43, 8, 0.1, -0.04, -3\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -72?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2042121 (base 6) to base 15.\nAnswer: 1e4d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 385 + -369. Solve 0 = 3*x + 5*p + 20, 2*p - 6*p - a = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51236730 by 6.\nAnswer: 8539455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8349 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85267052 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2 + 38224*n - 2324222 = 0.\nAnswer: 61, 19051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/11 + 30676*s**2\/11 - 30674*s\/11 = 0. What is s?\nAnswer: 0, 1, 15337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10*35 + 1 + -4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9590.87 kilometers to micrometers.\nAnswer: 9590870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**2 + 33015*d + 1396940?\nAnswer: 6*d + 33015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*u**3*x**2 - 63*i*u**3 + u**3*x**2 - 4*u**3*x - 2*x wrt i?\nAnswer: 2*u**3*x**2 - 63*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 448 + -440. Solve -4*r + 4 = -y*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2\/3*u**3 + 3 - 7\/4*u**4 + u + 0*u**2. Give b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslslssssssssssl. What is prob of picking 1 s and 1 l?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2\/5*p**4 - 2\/15*p**5 - 2\/5*p**2 + 2\/3*p**3 - 8\/15*p + 0 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-654)\/(-42)*4*462\/264?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32413 (base 5) in base 10?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let y be u(6). Let b be 2 - (1 + -2 + (-2 - -2)). Sort b, y, 1 in increasing order.\nAnswer: 1, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 72.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-25) + -3*220\/300.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -5\/6, -5, 58?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = -0. Let x be p - (-9)\/6*8. Suppose -o = -5 - x. What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 6:49 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87701397?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izi when three letters picked without replacement from zczuuizciiuuuuiuki.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + q + 171414 = 0, -73508 = -4*v - 2*q + 97924. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9)*3) + sqrt(5) + -1 + -4)**2.\nAnswer: -40*sqrt(5)\/3 + 305\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 52*h - 49*h - 21, u + 26 = 2*h. Solve 20 = h*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(15)\/sqrt(5)) + sqrt(931)*-2.\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 9*q**2 + q**2 - 3*q**2. Let z = -219 - -290. Let a(u) = -71 + z - 4*u. What is a(b(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -5.1 (c) 0 (d) -2\/15 (e) 0.49 (f) 3\/7 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/10*(20\/(-9630))\/(18\/(-270))\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-14)\/2835*(-19)\/19?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232970 divided by -246594.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 3926?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 12, 2*q + 30 = -13*u + 7*u + 9*u. Suppose 2*y + 2*y = 100. What is the biggest value in 5, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(180) - (sqrt(605) + -3))**2.\nAnswer: -246*sqrt(5) + 8414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -391 + 990 + 742 - 286*k with respect to k.\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -172. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/42*3*3\/9*-4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -536, -1100, -1666, -2234, -2804, -3376?\nAnswer: -3950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from zzdzspdszd.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(133)\/sqrt(7) + 1)*2 - (4 + sqrt(1539)*-3 - sqrt(1539))) + -3)*-6)**2.\nAnswer: -13680*sqrt(19) + 988596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {l: 4, j: 6, f: 10}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.41 and 1572.5.\nAnswer: 1572.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208117107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 2, n: 4, l: 1}. Give prob of sequence nl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 7) in base 2?\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1\/4 (c) 0.16 (d) 2 (e) 21\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1417715 take away -0.278?\nAnswer: -1417714.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 5 = 5*s. Let r(u) = u**2 + 6*u - 21. Let d be r(s). Solve 2*c = -v + d, 6*c = c + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-63)*(35\/10)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -14*p + 2950. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 669 = 2*o. What is o rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2350, 4743, 7218, 9799, 12510, 15375?\n\"Answer: 4*g**3 + 17*g**2 + 2314*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/2*(-3)\/5. Solve 0 = -4*i + 11 - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 536 - 283 = -16*q. Calculate the lowest common multiple of 1208 and q.\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 78\/36 - (-3)\/(-18). Let g(b) = b. Let n(j) = -13*j. Calculate i*g(x) + n(x).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, -1, -3, 17.\nAnswer: -3, -1, 1, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 85. Calculate the lowest common multiple of b(-31) and 43.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 86\/7 - (8 + (-24)\/(-6)). Let m = -1.8 - -0.6. What is the nearest to m in -2\/9, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*v**2 - 23*v**3 + 6*v + 38*v**3 - 86*v**2 - v - 78 wrt v?\nAnswer: 90*v - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34266545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 37. Let x be q(-17). Solve -x = 5*i + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313 + 149 + 2*j + 164 - 305*j**3 - 272*j**3 to k*j**3 + u*j + v*j**2 + p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24*0.2\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and -13\/58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-74)\/14 + (-2)\/(-7). Let p = 4 + -8.9. Let c = -4.7 - p. What is the nearest to c in -1, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let k be u(0). Suppose 2*s - 5*f + 8 = -6, -2*f + 8 = k. Let z be (-1235)\/(-57) + 1\/s. What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3146) + 3*sqrt(3146) - sqrt(3146)) + sqrt(3146))*-4 - (sqrt(3146) - -4*3*sqrt(3146)))\/((sqrt(44)\/sqrt(50))\/(sqrt(11) - sqrt(99)*-1)).\nAnswer: -6380*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u - 9*u = -448 - 112 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*q + 2769 = -79*q + 9673 + 5528 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -74841.\nAnswer: -8\/3939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5066160 by 1010.\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x - 8. Let k be w(-3). Sort -4, 4, k in decreasing order.\nAnswer: k, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 3*g**2 + 0*g**2)*(-35530*g + 65546*g - 34048*g - 1)*(2*g - 2*g + 2*g).\nAnswer: -16128*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -369706.\nAnswer: -4066766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2279 + 1137 + 1136 + 5*g. Let i = -7 + 1. Let n(p) = -14*p + 17. Let r(o) = i*n(o) - 17*u(o). Let l(d) = -15*d. What is r(l(v))?\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2274 - 1138 - 1136 + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10801 + -7424. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 12) to base 8.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 325.1357459 to the nearest integer.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 13*u - 12. Let o be m(-10). Let v be (-1130)\/(-12) + (-3)\/o. Suppose 0 = -9*b + 454 - v. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 7*i + 3\/5*i**5 - 16\/3*i**3 - 2\/15*i**6 + 2*i**4 + 0*i**2 + 0. Factor o(h).\nAnswer: -4*h*(h - 4)*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*t - 5*t + 3205 = 0, -5*t - 8065 = -5*h. What is h rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*i + 20 - 8, -40 = -5*i + 5*t. Suppose 0 = 8*b - 11*b + j + 2, 5*j - 9 = -i*b. Sort -12, 4, -1, b in descending order.\nAnswer: 4, b, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11684326 + 11684326 - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -95, 20, -12 in ascending order.\nAnswer: -95, -12, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17928825 and 19849?\nAnswer: 412362975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12347364 smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -677.52, -2 in descending order.\nAnswer: 10, -2, -677.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1465 and 7032.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2. Let f(y) = -3. Let g(l) = -2*f(l) + 4*z(l). Let b(a) = -a**2 + a - 3. Let w be (-2)\/2*(-3)\/(-1). Let u = -251 - -253. Give u*b(q) + w*g(q).\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.0059 - -0.0059. What is the closest to 1 in 2\/3, l, 2, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -18*d**2 + 15*d - 132. What is u(6)?\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*x - x - 148 = 0, -3*x = 2*f - 172. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-792)\/(-64) + -5 - 7.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o + a + 10 = 0, 0 = a. Suppose -425 = -5*f + o*k, -5*k = f - 0*f - 85. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/134312 and -127\/2532.\nAnswer: 85019496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -k, -2*d + 3*k + 17 = 0. Let y(h) = 2*h + 1. Let n be y(d). What is the highest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8*r**2 - r + 7. Let v be s(8). Let q be 2 - (v - 0)*9. Suppose -k = 3*t + k - q, t = -3*k + 6. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5.7. Let i(k) = k**3 + 2*k**2 - 2. Let v be i(-2). Which is the nearest to 0.1? (a) o (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s**2 - 4 + 4. Let b be (0 + 1)\/(2\/550). Let m(u) = 275 - b - 2*u**2. Determine r(m(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -105*m + 1152. Let o be l(11). Sort 6, -1, o, -4, 5 in decreasing order.\nAnswer: 6, 5, -1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/5 (b) 4\/9 (c) 2\/5 (d) -3.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = 0. Let p = 686599\/1490730 - -3\/14615. Let r = -2\/51 - p. Which is the nearest to n? (a) -0.2 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -5)*(-9)\/(-3). Let r be (48\/(-15) - y)*-5. Suppose -r = 3*l - 4. Is l smaller than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 12*t + 4. Let j(k) = -k**2 + 4*k + 7. Let c be j(7). Let v be n(c). Suppose -p + 41 = -v. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -131. Let r(n) be the first derivative of 0*n**t - 4 + 1\/3*n**3 + 0*n. Let d(y) = 2*y**2. Give d(r(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, x: 1, w: 2, d: 1, a: 3}. What is prob of picking 1 u, 1 d, and 1 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/14 - (-68)\/119)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a40 - 35?\nAnswer: 8a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/4, 3\/5, 0.3415 in descending order.\nAnswer: 3\/5, 0.3415, 1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:54 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 3*m - 4. Let a be t(3). Let y = -19 + 16. Sort 4, a, y.\nAnswer: a, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/1998591 and -50\/435783.\nAnswer: 57959139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/12 + 8*x**3\/3 + x**2\/2 - 7316*x. Calculate j(8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.0317\nAnswer: 0.0634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 12*w**2 - 3*w + 23. Let r be u(6). Solve 0 = -2*x + 1 + r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1065000 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2073*f**3*g**3 + 8*f**2*g**3 - 2*f*g**3 + 27*f*g wrt f.\nAnswer: -12438*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.94 and 372.59.\nAnswer: 374.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2)\/(23 - (25 - 0)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/(1 + 0) + 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uquszss. Give prob of sequence uqz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 871677.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*m + 27 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -106\/3. Let p = 11.8 + -0.8. Let a = -11.5 + p. Put 0, r, a in increasing order.\nAnswer: a, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.3, -2\/15, -4, 4 in increasing order.\nAnswer: -4, -5\/2, -0.3, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11439 + -11433. Let w(u) = u - 16. What is w(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3166450 and 2\/19075.\nAnswer: 3166450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/2 + (-1)\/2. Let p = 17 - t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28677915.2 - -482.2?\nAnswer: -28677433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + 121 + 0\/2. Solve -3*n**3 - 78*n - 6*n**2 + 112*n - 24*n**2 - p*n - 96 = 0 for n.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 5*p**3 - 7*p**2 - 3*p.\nAnswer: -p*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*u - 82, 5*r + 0*r - 88 = u. Let t = 30 - r. Let v(a) = -4*a + t*a + 3*a. Let y(l) = -5*l. What is y(v(d))?\nAnswer: -55*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.93 - 0.07. Let s = -7.7 + 6.52. Let r = 1.18 + s. Which is the biggest value? (a) h (b) r (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.65984 take away -4?\nAnswer: -2.65984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = 9*j + 83. Let g = -4 - j. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (180\/189)\/(-5*(-6)\/45). Let t = 6 + -4. Which is greater: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 7. Let n be j(-5). Let z(r) = 124*r - 64*r + 62*r + 0 - 4. Let v be z(n). Round v to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3849*y**5 - 393*y wrt y?\nAnswer: 76980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + -2*sqrt(1573) + sqrt(1573) + -1*(3 + sqrt(1573) - sqrt(1573)))**2 + -3 + 4.\nAnswer: 176*sqrt(13) + 1638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -f - u, -47*f = -39*f - u - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1075 + 1076. What is the nearest to a in -1, 0.3, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35450169 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-96)*-4*-4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 + 1)\/3)\/(-2). Suppose j = -i - 3*w + 1, 2*w + w + 29 = 2*i. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412 - 23*a**3 + 2*a**3 + 412.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-12)*23\/((-1610)\/(-28)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0826603539 and -1.\nAnswer: -1.0826603539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 64 - (2 + (52 + -33 - -6))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621117?\nAnswer: 103, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64732, -64731, -64730, -64729?\nAnswer: -64728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8612 - -9392. What is the highest common divisor of x and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/5)\/((-6)\/(-30)). Let p be (-42)\/16 - (j + 3). Let g = 0.6964 - 0.1964. What is the biggest value in p, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0598 plus 1125.63?\nAnswer: 1125.5702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 2581?\nAnswer: 2581.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -1.4745, -28 in increasing order.\nAnswer: -28, -1.4745, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -h - 379 + 383, -5*h = 3*s - 60 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1285911075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26070367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*5\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2. Suppose -4*p + 0*b - 5*b = -28, 3*p + 3*b - 18 = 0. Let a(v) = -4*v + 4*v - p*v. What is a(k(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (11 + 1 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 4700.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 271*a - 1946.\nAnswer: (a - 7)*(a + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, n: 6, u: 6, i: 1}. Give prob of sequence nu.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -160*c + 808. Calculate t(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 53*g + 600. Let p be (-2)\/7 + (-26)\/7. Let v(l) = -8*l + 3. What is the remainder when v(p) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**2\/2 + 16*q - 112. Let h be (-4)\/(-14) - (-2)\/(-7). Give a(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5336\/1288 + 52\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -11 + 15 + 3 + (-43 - 8).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 35 = -15. Suppose 4*u - 22 = h. Suppose -5*v - i - u = -29, 5*v = 5*i + 15. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23115.\nAnswer: 3, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 25. Let y be p(13). Let n = y + -3. Let w = 5 + -1. Calculate the remainder when n is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uugqgugqmum. What is prob of picking 1 m and 2 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 - 113*h**2 - 38*h + 16. Determine u(38).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 105. Suppose 5*f - h = 5*o - 1, 5*o - 20 = -3*f. Solve -4*j - 21 = -f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245929708 by -61482427.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -9, -28, -65, -126, -217, -344, -513?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 + 68*w + 51. Give p(-8).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, -0.2, -5044 in increasing order.\nAnswer: -5044, -0.2, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 22 = 2*o + 2*y, y - 4 = 0. Suppose -o*j + 10*j = -5. Let s = 7 - j. Solve 5*c - 3*c = s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 150? (a) 109\/5 (b) -4 (c) 2 (d) 125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188106?\nAnswer: 2, 31, 19163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11530212354 - 5?\nAnswer: 11530212346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 964*(-34)\/17724 - 3. Let v = y + -5\/633. Is -5 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3488, -3489, -3490, -3491?\n\"Answer: -m - 3487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/9 + 48118*s\/9 + 578835481\/9.\nAnswer: (s + 24059)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {d: 3, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1106 + -1402. Which is bigger: p or -295?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + s**2)*(2 + 2 - 1)*(-1 + 5 - 5) to v*s + h*s**2 + i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 755791 (base 13) to base 8\nAnswer: 12403136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + c**2 - 2*c + 1. Let t be p(1). What is the closest to t in 5, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 985*q**2 + 4*q + 8. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1638453ml to litres.\nAnswer: 0.0001638453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-27)\/8))\/((-16)\/156)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5238*t + 1331*t - 3885*t - 3756*t + 664*t)*(6*t**2 + 0*t**2 - 5*t**2).\nAnswer: -10884*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -3. Let l be m\/(-2)*(-24)\/(-18). Let f be -1 + (-2 - (-1 - -1)). Sort f, l, -4 in descending order.\nAnswer: l, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, s: 3}. What is prob of sequence ees?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.5 + -28.5. Put 0, f, -5, 1\/99 in increasing order.\nAnswer: -5, 0, 1\/99, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6)\/d)\/(d\/(d\/(d\/(d*d**(-10)*d))))*(d**(3\/4))**(-3\/4) assuming d is positive.\nAnswer: d**(-515\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*n + 2*n. Let x = n - 6. Calculate the highest common factor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 3*l**2 - 189*l + 1342. Let k(q) = -q**3 - q**2 + 1. Let i(y) = 3*k(y) - o(y). What is the derivative of i(s) wrt s?\nAnswer: -3*s**2 + 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 7*f**2 + 1258*f + 178. What is k(-32)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -4, 39, -5 in decreasing order.\nAnswer: 39, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*s + 13. Let m(h) be the first derivative of h**3\/3 - h**2\/2 - 2*h - 15. Calculate m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*y**4 + 77*y**3 + 8886*y**2 + 3.\nAnswer: -336*y + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -327, -310, -275, -216, -127?\n\"Answer: u**3 + 3*u**2 + u - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*j**2 + 360*j + 405.\nAnswer: 5*(4*j + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58130 divided by -10?\nAnswer: -5813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175887 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 57. Calculate the remainder when 167 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-7 + 4 + -6 + -2 - 0) + 7.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34439651 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:09 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 + 1 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence leh when three letters picked without replacement from sssuuuueaelessush.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 20739.24ng?\nAnswer: 0.00000002073924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2736096, -5472198, -8208298, -10944390, -13680468?\nAnswer: -16416526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guug when four letters picked without replacement from {g: 3, u: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 10011010?\nAnswer: 10100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, 215, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 4*s + 3. Suppose 90 - 78 = 6*j. Calculate c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 5*l - 4768 = 0. Suppose 6141 + 5604 = 5*h. Let r = h - l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1872) + (sqrt(1872) + -3)**2 - (sqrt(13) + -2)**2*-2) + 3*sqrt(13) + -4 + 1 + sqrt(1872)).\nAnswer: -9560 + 265*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 4, k: 15}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 123 + 15 + 18 + 49*p**2 - 227.\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 12*o + 9. Let p be n(-4). Suppose -18*u = -21*u + p. Suppose 2*t = -u*t + 225. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 49 + 4182*k - 23.\nAnswer: 4182*k + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 11 (c) 9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 837199393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2621.2 and -3?\nAnswer: 2624.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (0 + sqrt(171) + -4 - sqrt(171)) + sqrt(171) + (-2*sqrt(171) + 5)**2)*-4.\nAnswer: -2820 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*i**2 - 3*i - 89*i**2 + 38*i**2)*(9*i**3 - 7*i**3 + 4*i**3).\nAnswer: -24*i**5 - 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(-532) - (7202\/(-364) - 22).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)*c\/c**(2\/7))\/(c\/(c\/((c\/(c**(-4\/3)*c*c)*c)\/c*c))*c\/c**(2\/13)) assuming c is positive.\nAnswer: c**(-2857\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2889\/4 - -701. Calculate the common denominator of y and (4 - (-15)\/4)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16665, -33355, -50045, -66735?\n\"Answer: -16690*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 331702, 1\/4, 1 in descending order.\nAnswer: 331702, 1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18992, -37813, -56276, -74201, -91408?\n\"Answer: 30*k**3 - k**2 - 19028*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/3, 1, -54 in increasing order.\nAnswer: -54, 1, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -8*o + 180 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1373761332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2352 + 2361. Let l(p) = -4*p + 30. What is l(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -169086*q**2 - 105093?\nAnswer: -338172*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -106791, -427196, -961205, -1708818, -2670035?\n\"Answer: -106802*c**2 + c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - y = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6, 39 = -0*c + 2*c - 5*y. Suppose -2*k = -5*x + 6, -x + 2*k - 7*k = -c. What is the second derivative of -3*i - 3*i**3 - x*i + 2*i + i**3 wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - u - 3*u)*(4*u + u - 4*u) + 87*u + u**2 - 53*u + 69*u as r*u + q*u**2 + i and give r.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3349\/3 + -1117. What is the closest to x in 2, -1, -3\/5, -10\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(0*h - 2*h - 2*h)*(-2*h**3 + 2*h**3 - 2*h**3).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.3 + -15.5. What is the nearest to -3 in 7, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-17 + 19 - 0) + 12 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -36. Let r be 5*(-1 + (4 - 2)). Suppose r*t + b = 161. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -254 - -275. Let z be (-3)\/(1 - 5\/4). Suppose s = c - z. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*g - 9, -39*a + 37*a = 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 2722.\nAnswer: 2722.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + t + 12 = -t, 0 = -5*m - 5*t + 30. Suppose 4*o = -m*d + 40, 2*o + o = 0. Suppose -5*c = -c - 40. Calculate the highest common factor of d and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 6. Let o = -16 - -22. What is f(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385 smaller than 989494\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207*i - 102*i + i**4 + 20 - i**3 - 11 - 91*i to the form b + s*i**3 + g*i**4 + l*i**2 + y*i and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 2:33 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 103.1. Let o = g - 9.1. Which is the fourth biggest value? (a) -5 (b) -2\/5 (c) -2\/9 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302512 is divided by 651253.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 215736*s.\nAnswer: -3*s*(s + 71912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4165799 divided by 3\nAnswer: 4165799\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 193 + 567. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 10*t**2 + t + 8. Let l be v(-10). Let x(r) = 3*r + 5 - 1 - 2 - r. Determine x(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(-79)\/790*7\/(-15).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2050 and 410?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015713 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/35 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 2 - 178 = 0. Do m and 22 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140.5 times 2\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 4249*v - 197543. Determine n(-46).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92 * 295.\nAnswer: -27140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -170 + 79 - g + 68. Let h be l(-26). Suppose 0 = 2*s - h*u - 3 - 7, 5*s + 3*u - 25 = 0. Let m(v) = -v. Give m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 8) to base 15.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 1734*z + 212941. Determine x(-109).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from rvaevjg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 - 6*p + 376. Let x(v) = 5*v**2. Determine f(x(s)).\nAnswer: 75*s**4 - 30*s**2 + 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 89*u**2 - 170*u**2 + 12.\nAnswer: -81*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -62. Which is the third biggest value? (a) 4\/3 (b) -1\/5 (c) 1\/2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11843 - -8621685\/728. What is the common denominator of k and -69\/182?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/6, -2\/3, -3\/5, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = -3*c, -5*c = 4*q - 2*q - 9. Let s = 133 - 123. Suppose 22 + 58 = 20*p. Sort c, p, s in ascending order.\nAnswer: c, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 5*i - 4. Calculate o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -323, -699, -1225, -1901?\nAnswer: -2727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228856118 is divided by 85?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 16*u + 62. Calculate k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 1217*r**2 - 3659*r - 1. What is z(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156217 (base 14) in base 8?\nAnswer: 2662435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8106*m - 8104*m - 15 + 1.\nAnswer: 2*m - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(-27\/4)*(f**(11\/5))**14)**(2\/47) assuming f is positive.\nAnswer: f**(173\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*i + 7 = 0, -3*h - 73 = 5*i - 87. Which is the third smallest value? (a) h (b) 1\/5 (c) -0.5 (d) -3 (e) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 752 - 372. Let l = o - 353.75. What is l rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.3, 16, -42, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*a + 10, a - 4*a = 15. Solve 3*j = -i + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 919 = 37. What is the lowest common multiple of r and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114827?\nAnswer: 114827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i, -l + 1 + 11 = 2*i. Let b(n) = -n**2 + 7*n - 5. Suppose 0 = -3*a - 3 + 15. What is the remainder when b(a) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 46\/9 of a hour?\nAnswer: 18400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f, 1 + 4 = 14*x - 19*x - 5*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*0.05.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -375818 and 0.09?\nAnswer: -33823.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -1, 0 in decreasing order.\nAnswer: 64, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert d778 (base 14) to base 9.\nAnswer: 55857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210630 and 952.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -637940 divided by -2\nAnswer: 318970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 + 61 - 280 + 2911*b + 67 + 69)*(b**2 + 3*b**4 - b**2).\nAnswer: 8733*b**5 - 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*d - 4 = 0, 10 = -5*p - 2*d - 10. Calculate the common denominator of (567\/(-60))\/(-7) + -3 and (2343\/(-44))\/((-18)\/p).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = -3*t - 6, -2*f - 2*t = 4. Sort -5, 4, f, -6 in decreasing order.\nAnswer: 4, f, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1999631025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*q + 49 = 3*q, -5*m + 3*q = -120 + 207 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 9 - 1 - (-37 + 16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(13) + sqrt(13)*-3).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - u**3 - 4*u**3 + (-1 + 1 - 2*u)*(6*u**2 - 3*u**2 + u**2) - 2*u**3 + u**2 - u**2.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(21\/6 + 0 + -3). Solve k = -3*r - 1 + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-4\/3)))\/q*q*q**3*q*q*q**0*q*q**1 assuming q is positive.\nAnswer: q**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*x + 44*x + 10*x + 200, 5*x = 4*s - 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 284\/(-532) + 12 + 1130\/(-95)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00296523 to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from fgaffxffkgga?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**3 + 17*c**2 + 91*c - 9. What is u(-5)?\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 5*h**2 - 2*h + 4. Let f be i(5). Let u = -192593\/18 - -10697. Find the common denominator of u and 2\/f + 39\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -201 + 200.9. What is the closest to g in -6\/7, -0.1, -6\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -36 + (-7)\/(14\/4). Let w = -26 - q. Let j be 0 + 2\/(8\/w). Solve 0 = -4*u - u, u = j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4*f - f + 1 - 1 - 2*f + 4*f - 2*f - 3*f + 1 - 1 + 2*f + (-4*f + 2*f + 4*f)*(2 + 3 - 4))*(0*f + 0*f + f)*(-21 - 712 - 166).\nAnswer: 1798*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 2*s + 3*s**4 + 4*s - 4*s**4 as u*s**4 + l + o*s**3 + w*s + k*s**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1160060505 to the nearest integer?\nAnswer: 34060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - 704745.3618765.\nAnswer: -704744.6618765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 49*k**2 - 17. Is g(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-214)\/(-14) - -1 - (-10)\/(-35). Let b(p) = 9*p + 8*p - c*p. Suppose 5 = -4*t + 1. Calculate b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tbttttttbttttttttt?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-792)\/3912)\/((-6)\/(-2)). Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**3 - a**2 - 2*a - 1. Let u be (-3 - 3\/(-3))\/2. What is the remainder when -2 - (0\/u - 19) is divided by h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0 - 1\/90*p**5 + 1\/27*p**3 + 1\/54*p**4 + 0*p**2 - 1\/135*p**6 - 59*p. Factor q(g).\nAnswer: -2*g*(g - 1)*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 10:53 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q. Let a(l) = 7*l**2 + 6*l - 13. Suppose -7*h + 120 = 13*h. Let d(o) = h*y(o) + a(o). Calculate d(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 81\/2 of a gram?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z + 5. What are the prime factors of g(-6)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:46 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 0 + 44 + -51 + -5 + -9\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165136397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 + -2?\nAnswer: 2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29289, -58576, -87863, -117150?\nAnswer: -146437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - r**2 - 4*r + (r + 0*r - 2*r)*(3*r - 2*r - 3*r) + 3*r**2 - 2*r**2 + r**2 + (0*r - 2*r + 0*r)*(2*r - 4*r + 3*r)*(4 - 4 - 2).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/222155055 and 16\/505.\nAnswer: 222155055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1354 - 1354.4168. Round f to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 21*r + 2. Let z be x(-21). Suppose -6*j + 224 = z*j. Which is smaller: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 1. Let l(z) = 598*z**2 + 74*z - 75. Let a be l(1). Let k = -596 + a. Determine s(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 65*z**3 + 60*z**2.\nAnswer: 5*z**2*(z - 3)*(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002054 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863163.\nAnswer: 3, 7, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Let c = 2 + -1.99. Let p = -8.9 + 9. Put p, y, c in ascending order.\nAnswer: c, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 170 = 3*f, 4*v + f = -2*f + 136. Let z = -1 + v. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114486125 to the nearest integer?\nAnswer: 10700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57101 - -53275241\/933. Let l = o - -51259\/6531. Find the common denominator of l and -7\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4 = 4*k. Let a = -0.04 + -1.96. What is the second smallest value in k, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -9*p + 29. Let o be (p*2)\/((-2)\/(-1)). Suppose 2*s = o*w - 350, -w - w - s = -344. List the prime factors of w.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695 + 729 + -5 + 15?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 830 - 81532*l - 830 + 81605*l.\nAnswer: 73*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dc39 + 58?\nAnswer: dc93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 4. Let z(x) = -x - 5. Let v(m) = -4*k(m) + 3*z(m). Let b(u) = -4*u - 1. Let q = 8 + -10. Calculate q*v(j) - 5*b(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 526, 1063, 1612, 2179, 2770?\nAnswer: 3391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/54)\/(-1*2\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i - 3. Let b be s(1). Find the first derivative of -b - 16*u**2 + 22*u - 22*u wrt u.\nAnswer: -32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4158906, -8317814, -12476722, -16635630, -20794538?\nAnswer: -24953446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 10*z + 13. Calculate w(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**1))\/x)**(-1\/3)*x*x**3*x**1\/x assuming x is positive.\nAnswer: x**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from pwppwwwwwwwpwwwpww.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -12. Let q be (-16)\/(-4)*y\/(-1). Suppose 0 = q*g - 15 - 9. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18141529 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-93)\/558)\/((-2)\/116))\/(7\/((-210)\/(-10)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 56. What is the remainder when 95 is divided by (16\/6)\/((q\/(-18))\/1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -0.07. Let w = 0.05 + j. Let i = -1 - 4. Which is greater: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1) + (-2 - 1). Let g = 1.9 - 2. Which is the biggest value? (a) v (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/21*112\/(-40)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 264*j - 1052. Determine a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**3 - 2*d**2 + 233*d + 66. Let k(r) = -8*r**3 + 2*r**2 - 231*r - 55. Give 6*k(m) + 5*z(m).\nAnswer: -8*m**3 + 2*m**2 - 221*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.1762545 to 1 decimal place.\nAnswer: -144.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 + t**2 + 5*t. List the prime factors of x(4).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 21. Suppose -13*n - 13 = -14*n + 2*r, k = -3*r + 3. Solve 5*o + 4*q - n = 0, -3*o + 0 = -3*q - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-3)*(-30)\/(-10). Let c = -357 - -341. Is s at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16 + 3*t**4 - 263*t**2 + 263*t**2 wrt t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*w = -0*w - 305, 0 = 3*z + 5*w - 220. Calculate the remainder when z is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 2*l - 24 = 0. Suppose 0 = -l*p + 4*p - 3*o - 608, p - 5*o = 290. What is the remainder when p is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59583 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: Does 188 divide 322608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:27 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 3*r = -5*z + 8, 0 = -3*z - 5*r - 35. Which is the fourth smallest value? (a) z (b) -1\/4 (c) -0.1 (d) -2021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 11. Let b(x) = x**3 - 11*x**2 + 10*x + 12. Let i be b(10). Let v(t) = 3*t - 11. Calculate the remainder when k(i) is divided by v(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/4)\/((-2)\/(-8)). Solve -4*z = -3*z - f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2. Suppose 10*t = 6*t. Let y be (0 + 3 - t) + -5. Let l be r(y). Solve -3*d + 5*q = l, 5*d + 3*q + 6 = -0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 27. Let d be m(18). Suppose -4*a + d = -a. Let v(w) = -w + 1. Let l(p) = 3*p**2 + 3*p - 3. Calculate a*v(o) + l(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6\/7 (b) -5 (c) 0.4 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -32*i - 11. Let f(a) = -11*a - 4. Let l(c) = -17*f(c) + 6*p(c). Let r(s) = -16*s + 7. Determine -7*l(b) + 2*r(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.4 (b) -1\/3 (c) 27 (d) -22 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/745884 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0487562 + -0.0488. Round v to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-29)\/s**(13\/4))\/(s**(-2\/35)*s*s*s*s\/(s*s**(4\/11)*s)) assuming s is positive.\nAnswer: s**(-52097\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7775 and 1133284.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/11 and 149\/546.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47416, 47418, 47422, 47428, 47436?\n\"Answer: x**2 - x + 47416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/7, -5, -4, -19\/5.\nAnswer: -5, -4, -19\/5, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfffqffffff. Give prob of sequence ff.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 6*b + 4. Let x(q) = q**2. Let a(g) = -m(g) + 4*x(g). Let t(w) = -w**2 - 9*w - 9. Let v = -40 + 33. Let p be t(v). What is a(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 9*j - 60 = 0. Let o(u) = 15*u**2 + 13*u**2 - j*u**2. Let l(b) be the first derivative of -2*b**3 + 1. What is l(o(g))?\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 69.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 2*r + 3, 5*v = 873*r - 868*r - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 = -286*w - 53*w - 325*w - 6791 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-86) - (3 + 42700\/(-13846))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 - 140. Suppose 4*k = 2*k - 5*q - 17, u*k + 9 = -5*q. Suppose -5*p = 5*w - 4*w - 113, -k = 4*p. List the prime factors of w.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-35))\/(132\/(-84)) + 214\/(-107).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1+-18963\nAnswer: -18962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 125 = -10. Suppose -t = 3*q - 33. Let w = 30 + -9. Calculate the remainder when w is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1726 and 603412189.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*r = 6*r + 20, -2*r - 10 = -3*q. Suppose -5*y - 4*m - 15 = q, -2*y - 4 = -m + 2. Let j(k) = 5*k + 3. Determine j(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 6) to base 15.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0 - -3) + -3)\/(2\/2). Let b(o) = o**3 - o**2 + o - 9. Determine b(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**4*w - 33*q**3*w**2 - q**3*w - 59*q**2 + 3*w**2 wrt q?\nAnswer: -48*q*w - 198*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 45*r + 43*r - 20 = 0, 0 = 5*x - 4*r - 53. Solve -3*d = -2*y + y - x, -2*d + 10 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*r - 2, -4*k + 5*r + 10 = 1. Solve -13 = 5*w + 3*l + l, k = 3*w - 2*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**4 - 62*v**2 + 152*v + 83294.\nAnswer: -8*v**3 - 124*v + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970118 is divided by 141.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1079580 and 3990?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + -8 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1810135 centuries?\nAnswer: 1.810135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:46 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50784 - 50783.9973271. What is u rounded to 5 dps?\nAnswer: 0.00267","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-566)\/1981)\/((-2)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s + s - 14*s**3 - 3*s + 3*s**3.\nAnswer: -11*s**3 + 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 220071 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013093 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/106260 and 47\/216315.\nAnswer: 6056820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*o + 5*o. Suppose 2*b = o, 2*m + 5*b + 73 = 6*m. What is the remainder when 85 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 4*z**2 + z - 6.\nAnswer: (z - 1)*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(2310\/20) - 4032\/(-37422)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9 + 2 - n - 3 - 4. Calculate o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-5)\/((-625)\/(-10))). Calculate the greatest common divisor of h and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42*28\/294 - 4\/2. Let t(l) be the first derivative of 13 + 0*l + 1\/2*l**r. Calculate t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2724026159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 7*i**2 + 8*i - 13. Give d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 35.2. Sort i, -2, 0 in increasing order.\nAnswer: -2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (6*(sqrt(136)*2 - sqrt(136)) - sqrt(136)))\/(sqrt(8) - (sqrt(648)*-4 - sqrt(8))).\nAnswer: 3*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240500 rounded to the nearest 1000?\nAnswer: 241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.1 (b) -5 (c) 0.5 (d) -215 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 12 + 1917*u**2 + 14 + 0.\nAnswer: 1917*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -11 (b) -7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-3))\/(2 - 1). Suppose 0*r - 2*o = -r, 12 = r + 4*o. Solve -r*a + 2*k + x = 0, 0*a = -4*a - 2*k + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 5093712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 179799715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*p**2 - 83930*c**3 - 2*c**2*p - p**2 + 951*p + 6 wrt c?\nAnswer: 6*p**2 - 503580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*t - 3954 = 0, 0 = 5*t - 2*t + 9. Let j = h - 859. What is the greatest common factor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (11 - (0 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**4 - 100*r**3 - 308*r**2 + 13286. Let b(x) = 0. What is x?\nAnswer: -2, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 30 - 15. Let z be y\/(-2 + (-606)\/(-312)). Suppose -171 + z = -i. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10873.741*-0.9.\nAnswer: -9786.3669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222 - 73653287286?\nAnswer: -73653287285.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.88 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((-11 - -23) + -8 + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.079 - -0.361. What is v rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7313400 and 403432.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let i(l) = -l**2 - 5*l + 5. Let o(b) = i(b) + 5*t(b). Let k(x) be the third derivative of -x**4\/4 - 15*x**2. Calculate k(o(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1 - 5*z**2 - 3*z + 12*z**2 - 3*z + 4*z. Let d be q(1). Solve -3*u = 3*k, 0 = d*u - 2*u - 4*k + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31986 divided by 50?\nAnswer: -15993\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 17 = -9*g - 257. What is the greatest common divisor of 8112 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (14 + 6 + -7) - 14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7991\/9 + -2650\/3. Suppose -845 = 4*q + q - 4*a, 2*q - a + 335 = 0. Let r = 160 + q. What is the common denominator of r and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 - z - 2. Give v(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7682.611g?\nAnswer: 7682611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4840 - -40268. Suppose g = 17*x + 1326. What are the prime factors of x?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 570*c - 2848. Is 5 a factor of a(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-4)*(-19)\/494?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 7, -0.5, 35, -1, 8 in decreasing order.\nAnswer: 35, 8, 7, -2\/11, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 4, 21, 24, 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0*j**3 + 7 + j**2 - 6 - j - j**3. Let q be (-1)\/(-2 - -1) - 0. Let h(z) = 3*z**3 - 2*z**2 - 2. Determine q*h(t) + 2*f(t).\nAnswer: t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065*f - 6306 + 17624 = -17437 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - -6) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 35 + 21 + 11*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 54318?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078465 rounded to 4 decimal places?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 511*p**2 - 3*p - 69*p**2 - 5 - 2*p. Let h be j(-1). Let i = h - 271. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 52.781 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 276343418.419999535 - 276343417. Let c = -1.42 + p. Round c to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**3 - v**2 - 2*v - 2. Is x(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52194230, -52194223, -52194212, -52194197, -52194178, -52194155, -52194128?\nAnswer: -52194097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5502, -5499, -5496, -5493, -5490?\n\"Answer: 3*c - 5505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6\/157 (b) 256 (c) 1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a factor of 622654016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1274 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8649, -34556, -77735, -138186?\nAnswer: -215909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -5 (c) -2 (d) 4 (e) -269337.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20419*l**4 + 31383*l wrt l.\nAnswer: 245028*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(675\/(-387)))\/((-9)\/(-27)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most as big as 12.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4 + 39*c**3 - 126*c**2 + 4*c + 168 = 0.\nAnswer: -42, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*v + 93*v + 8176 = -23*v for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1. Let b(z) = z**2 - z. Suppose 0 = 4*c - 3*c. Suppose -2*t - 2 - 4 = 4*q, 5*t - 5 = c. Give q*b(p) + 2*h(p).\nAnswer: -2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/26820 and -85\/327204?\nAnswer: 1636020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 11*g**2 - 432*g + 3996. Calculate o(9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 7*w - 498. Give u(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -5. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 120 = -0*b + 5*i, 0 = 5*b - 3*i - 516. Suppose n + 6*w - 54 = 0, 65 - 201 = -4*n - 4*w. What is the highest common factor of b and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12918 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6828700379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 8*l + 179*l - 204. Which is smaller: l or -25\/223?\nAnswer: -25\/223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9484235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16814308.\nAnswer: 2, 7, 463, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l - 0. Let a = l - -2. Suppose 2*j + a = 4. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -48*h**2 - h + 1. Let l be u(1). Let a be 4 - 28\/l*-57. Which is smaller: -30 or a?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 181*a - 74*a + 57*a + 1640 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -184, -374, -564, -754?\n\"Answer: -190*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:27 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5798 - 11762 - g + 5964.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2867972 rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbpb when four letters picked without replacement from {b: 4, p: 2, m: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-198)*6\/26. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 4 + 3 + -1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -691695 divided by 691695.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3*z - 9 - 1)*(51 - 33 + 55).\nAnswer: 219*z + 73","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007778281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o\/o**(-7\/3))\/o)*(o**(3\/4)\/o*o)\/o assuming o is positive.\nAnswer: o**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 57 = 2*s - 3*s, -53 = -s - 4*u. Suppose s*f - 78*f = -45. Solve 5*b - 5 = f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 800118, 800104, 800090, 800076, 800062, 800048?\nAnswer: 800034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/10 + 1308\/15 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/59 - -2215\/177. Let x(a) be the first derivative of 4*a + 2 - 38\/5*a**5 - v*a**3 + a**2 + 31\/2*a**4 + 4\/3*a**6. Factor x(t).\nAnswer: 2*(t - 2)*(t - 1)**3*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p + 7. Determine a(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 2:02 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(-38))\/b)*b)**(5\/7) assuming b is positive.\nAnswer: b**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 28975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.130636 millilitres to litres.\nAnswer: 0.000130636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*g + 444*g - 2 - 908*g.\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1330 = 4*i + g, 0 = i - 0*i + 5*g - 342. Let p = i - 250. Is p a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/37 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251521 bigger than 8251521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + g)*(-g + 2*g**2 + g + (1 - 1 + g)*(4*g - 3*g + 3589 - 3115)).\nAnswer: -12*g**3 - 1896*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -868, -1288, -1708, -2128?\nAnswer: -2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (16 + -3) - -13) + (-23 - -2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -4 - ((612\/30)\/3 + -46 + 47).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 13*n**2 + 13*n - 10. Calculate the lowest common multiple of p(12) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e (base 15) in base 16?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 38*k + 2. Let t(j) = 75*j + 3. Give -5*n(v) + 3*t(v).\nAnswer: 35*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 257\/5 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.79902 weeks to milliseconds.\nAnswer: 25280047296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 151 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(13\/4))\/(m*m*m**3))\/((m*(m*m**(6\/7))\/m)\/((m*m**(1\/7)*m)\/m)))**(-2) assuming m is positive.\nAnswer: m**(223\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 35*g**2 + 5*g - 20. Let t be y(7). Calculate the highest common factor of 90 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -30*k + 53. Let f(i) = 15*i - 26. Let t(h) = -5*f(h) - 3*v(h). Let o be t(2). Solve 2*y + o = 5*g, -3*g = -0*y + y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45539355431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -29, 0 in decreasing order.\nAnswer: 4\/7, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19072849099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**8\/50400 + s**7\/1050 + s**6\/50 + 13*s**5\/30 + 18*s**2. Let t(y) be the third derivative of v(y). Factor t(n).\nAnswer: 2*(n + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:09 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14789 - 3*b**3 + 7399 + 7389 + 3*b**3 + 3*b**2 - 2*b - 2*b**3. Let d = 3 + -1. Calculate y(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1160 - 1156. What is the closest to 5 in d, -2, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 3*m - 3*m + (2*m - 14 + 14)*(880*m + 367*m - 70*m) as w + u*m**2 + k*m and give u.\nAnswer: 2356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - (-2 + 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -105, -307, -633, -1089, -1681?\n\"Answer: -a**3 - 56*a**2 - 27*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -271, -403, -531, -655, -775?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 402970950 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -44, -38, -12, 40, 124, 246?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*d + 147*d - 4748 + 11786 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1565175\/73 + 21442. Let r = m - -500\/2117. Calculate the common denominator of -2\/11 and r.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0431 - 90.4431. Let n = f + 84. Let p = -6 + n. Round p to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/6)\/((-54)\/32))\/(320\/(-1440)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*f + 88*f**2 + 405*f - 2 + 5 + 449*f**2.\nAnswer: 537*f**2 + 270*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 282*v**3\/7 + 844*v**2\/7 - 3546*v + 176\/7 = 0.\nAnswer: -11, 1\/141, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 25 = -5*q, 8 = -2*q + 3*o + 13. Suppose -5*t + 2*t + 14 = 2*x, q*x - 5*t - 6 = 0. Solve 5*k = x + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 231, 248, 265, 282, 299?\n\"Answer: 17*j + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1 (c) 4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*y + 927, 5*g = 2*y + 382 + 1163. Let i = g - 210. What is the greatest common factor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 21. Which is bigger: d or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1494159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttiiimtitmi. What is prob of sequence iim?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -69, -157, -303, -507, -769, -1089?\n\"Answer: -29*q**2 - q - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/7 - 12317*d**3\/7 - 5419040*d**2 - 37920964*d\/7.\nAnswer: -d*(d + 1)*(d + 6158)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28086, -56160, -84176, -112104, -139914, -167576, -195060?\n\"Answer: 5*q**3 - q**2 - 28106*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/40 and -77\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k, -5*k = -2*z - 41 - 101. Let x = 67 + z. Sort -3, 5, 2, x in decreasing order.\nAnswer: 5, 2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g. Let z(l) = -85*l - 11. Calculate z(o(t)).\nAnswer: -255*t - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-10)\/(-1720))\/((-32)\/128)*(-1)\/(-4).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3656 = -182*i + 326*i + 143*i + 170*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 9*k - 21. Let f be j(-6). Is (f\/12 - (-85)\/20) + 439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n - 4*n - 7*n. Let v(c) = -2*c**2. Calculate v(j(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6780 is divided by 2253?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvwz when four letters picked without replacement from {d: 2, r: 1, v: 2, w: 1, x: 2, z: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2f4 (base 16) to base 12\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7931)\/(-666204))\/((-4)\/(-14)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwz when three letters picked without replacement from zwzzwzwzzzwwww.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*3\/(-18)*-10. Suppose 4*q = -5*f + 15, 2*f + 25 = x*q - 2. Solve 5 = -p + g, -2*g + q = -p - 4*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -456427\/95 or -4805?\nAnswer: -456427\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**5\/60 + 13*x**4\/24 + 3*x**3\/2 - 4*x**2. Let m be o(13). What is the units digit of 2\/(-6) - (-39)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 8*p**2 + 2*p - 8*p**2 + p**3 + 12*p.\nAnswer: -p**3 + 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 1. Let v(d) = 36*d**3 - 3*d**2 - d. Determine 4*u(f) - v(f).\nAnswer: -36*f**3 - f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 299 + -289 + -3 + 1 + -7 + 70 + 1.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2. Let j(z) = 2*z**2 - z - 21307. Determine j(b(q)).\nAnswer: 32*q**4 + 4*q**2 - 21307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y + 32*y + 249 = 0. Sort 26, 7, y, -1 in increasing order.\nAnswer: y, -1, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 11*g**2 - 40*g + 20. Let p(s) = 4*s**2 - 13*s + 6. Calculate 2*o(m) - 7*p(m).\nAnswer: -2*m**3 - 6*m**2 + 11*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 662794240 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -3. Let s = 3.07 + -0.07. Let a = s + -2. Sort a, r, -1 in decreasing order.\nAnswer: r, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w = -193*w - 7488 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {d: 4, a: 2, y: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 g, and 1 u when four letters picked without replacement from uugguuggmgu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59679, 62505, 67209, 73785, 82227, 92529, 104685, 118689?\n\"Answer: -a**3 + 945*a**2 - 2*a + 58737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2727*2.4043.\nAnswer: 6556.5261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131111220 (base 4) to base 5.\nAnswer: 12321133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*l + 16 = 0, -5*l + 6 = x - 8. Let i be (0\/(-1))\/(0 + 4). Suppose i = -2*u + 4*u + 6. Put x, 5, u in ascending order.\nAnswer: u, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2341*g - 885*g + 1923*g + (0 + 3 - 2)*(0*g + 4*g - 3*g).\nAnswer: 3380*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -2, -481, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 9. Let d(f) = 5*f - 6*f + 21*f + 0*f - f. What is d(v(w))?\nAnswer: 38*w**2 + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 752407\/6 + -22946020\/183. Let b = k - 198\/61. Suppose 0 = -5*y + 2*y + 90. Find the common denominator of y and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = a + 3, 2*m - 12 = 4*a - 0*a. Let k(p) = p - 2. Let u be k(2). Suppose u = 2*z - m - 6. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14243 (base 5) in base 13?\nAnswer: -712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 2*n**2 + n - 2*n)*(11*n**3 - 1908*n**3 - 928*n**3).\nAnswer: -5650*n**5 + 2825*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 96*y**3 + 4*y**4 - 189*y**3 - y - 3 + 91*y**3 + 0*y to the form u*y + x*y**4 + h + f*y**2 + v*y**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -310140 (base 6) in base 12?\nAnswer: -12350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 20*k**2 - 4*k + 2. What is the remainder when y(2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 193, -3?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34645, -33393, -31315, -28417, -24705, -20185, -14863, -8745?\n\"Answer: -p**3 + 419*p**2 + 2*p - 35065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -20. Suppose 5*k = -5*v - 5, 2*k = 5*v + 24 - 5. Suppose 3*o - 8 = 3*y - 5*y, 0 = -5*y + k*o + 20. Solve m*r + 18 = 5*d, -y = -4*d + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.263 and -0.53.\nAnswer: 0.66939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*y**3 + 2*y**2 + 135*y**3 - 289*y**3 - 495 to l*y**3 + h + w*y**2 + i*y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 59*d**2 - 32*d + 11. Suppose 0 = 4*r - 5*q - 30, -11*q = 5*r - 9*q - 21. What is the tens digit of w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 240823.12 and 4.26.\nAnswer: 240827.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8)*(-40)\/20. Which is greater: r or -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -25*i**2 - 13*i - 39. Let k(u) = 6*u**2 + 3*u + 9. Suppose -494 = 43*y - 24*y. Let n(r) = y*k(r) - 6*q(r). Let z(f) = 2*f + 17. Give z(n(v)).\nAnswer: -12*v**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q**5 + 7\/2*q**2 + 0*q + 0*q**3 + 0*q**4 - 1\/3*q**6 + 7. What is the second derivative of j(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eenn when four letters picked without replacement from ennnenneeneeen?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -22185*v**2 - v + 7 - 19 - 4064*v**2 + 0*v. Let l be c(4). Round l to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-2 - (-1 + -1)). Let v(j) = j**2 - 2*j + 1. Let x be v(m). Suppose -c - 3 = x, 5*c + 39 = 5*k - 31. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-11))\/2*((-2023)\/51 - -36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 6. Suppose 2 - w = -4*c. Let a be (1\/3)\/(c\/18). Put -5, a, -4 in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 13*r + 1. Let g(h) = -16*h**2 + 67*h - 9. Calculate -g(w) - 6*x(w).\nAnswer: 22*w**2 + 11*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t. Let h(s) = -9*s - 18. Let y(p) be the first derivative of 9*p**2\/2 + 21*p + 12. Let k(g) = -7*h(g) - 6*y(g). Determine 4*k(u) - 9*r(u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12.1747 (b) 2 (c) 1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m - 110. Determine o(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*s**2 - 223*s**2 + 1021*s**2 - 252*s**2 - 255*s**2.\nAnswer: 41*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 11. Let l be ((-32)\/(-40))\/((-2)\/m). Factor -2\/7 + 16\/7*g - 32\/7*g**l.\nAnswer: -2*(4*g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) 1 (c) 0.04 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2065)\/(-415) - (15792\/(-7802) + -83).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 234.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 987 and 2.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 - -3 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 - 6*r - 19. Let z(y) = y**2 + y - 1. Let j(d) = x(d) - 4*z(d). Let m be j(11). Which is the third 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 prob of picking 1 a and 1 s when two letters picked without replacement from {s: 1, a: 1, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - 4*u**3 - 162 + 0*u**4 + 68 + (-5*u**3 + u**3 + 2*u**3)*(u + u + 0*u).\nAnswer: -5*u**4 - 4*u**3 - 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j - 0. What are the prime factors of 24*(j + 9\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + y + 16 = -5, -4*c = 4*y + 24. Let i = -1.8 + 1.9. Sort c, 0.3, -0.3, i in decreasing order.\nAnswer: 0.3, i, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 680 - 1164. Let j = n + 493. Suppose 0 = -0*m - 4*m + 4*x + 60, 2*x = -5*m + 40. Calculate the lowest common multiple of m and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -75*y + 541. Is v(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.077749\nAnswer: 0.077749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4071.1 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17662154 + -5.485\nAnswer: 17662148.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 2*z**4 + z**5 + ((2*z - 5*z + 4*z)*(1 + 1 + 0) + 2*z - 28 + 28)*(0*z**3 + 0*z**3 - 2*z**4).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 11 - 2) + 21 + (-42 - -29).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)**(-2\/33))**(-4)\/((d*d*d*d*d**5)\/d**(-8))**(-18) assuming d is positive.\nAnswer: d**(10090\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*g + 3 = 2*g, 0 = 2*r - 5*g + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times 270?\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53103181, 106206361, 159309541, 212412721, 265515901?\n\"Answer: 53103180*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*j + 24 = 0, -2003*j = 4*n - 2001*j - 38 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/(-32))\/(2 - 690\/344) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 11*n**2 + n**2)*(19*n - 19*n**2 - 19*n)*(5 + 3 - 4).\nAnswer: -684*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -5)*(5 - 195\/6). Let o = w - 199\/3. Calculate the common denominator of o and -22\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 9*y - 4. Let z be x(7). Let k = 30 - z. Is ((-936)\/6)\/(k - (1 + -1)) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 95599.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**3\/33 + 2*w**2\/11 + 15. Let r(b) = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(-2 - -4). Let m be (-30600006)\/9 + 2\/u. What is m rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8040770.\nAnswer: 2, 5, 804077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, y: 17}. Give prob of sequence ayya.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 164*i**6\/15 + 140*i**2 - 520*i. Differentiate z(f) wrt f.\nAnswer: 1312*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 52. What is the tens digit of (5 + s)\/(1\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let s(y) be the first derivative of -6897*y**2\/2 + 3409. Give r(s(w)).\nAnswer: 6897*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41, 51, 53, 41, 9, -49?\n\"Answer: -n**3 + 2*n**2 + 11*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 1480 = 14*b, 4*b + d - 256 - 168 = -4*d + d for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492*-26.\nAnswer: -12792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1860.0000005546 + -1860. What is x rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 4, j: 4, e: 2, z: 3}. What is prob of picking 1 j and 2 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/3872 and 45\/2024?\nAnswer: 89056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10534816 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 4:30 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -6. Let u be -2 + (60\/(-27))\/(-1). Let g = u + 1\/36. What is the closest to -1\/3 in g, p, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:01 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times 61?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -54.2 (c) -2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292)\/36 + 8 - (-78)\/3348*2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 5.74 (c) 2\/5 (d) -4\/5 (e) -27.8 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + z**2 + (3*z - 4*z + 3*z)*(-2*z - z + 2*z) - 988226*z**2 + 14 + 1976482*z**2 + z - 988199*z**2.\nAnswer: 56*z**2 + z + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*(-1 + 1 + sqrt(1872))**2 - -6*(sqrt(1872) + 0)*-6) + 0)*-2.\nAnswer: -1728*sqrt(13) + 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 + 5714*s**2 + 100250864*s\/5 - 12766813536\/5.\nAnswer: 2*(s - 123)*(s + 7204)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/12 - 5*r**3\/2 - 4*r**2 - 150*r. Determine t(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 14. Suppose d + 2*q = -6, -10 = d - 15*q + 13*q. What is b(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(208)\/(sqrt(8)\/sqrt(2)) + sqrt(3328)*2 + sqrt(3328) - 2*(sqrt(208) + (-2*sqrt(208) - sqrt(208)))) + 4)**2.\nAnswer: -169932 - 1584*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 7:07 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/36)\/(1\/24). Is (71\/(-2))\/((-3)\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {l: 1, w: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 39*s + 189. What is m(0)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 1 - 6. Is -2 + 0 - (-1 - w) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36679049 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 47*z + 277. What is the tens digit of h(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3166943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 58368039.\nAnswer: -5836803.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1679, 3, 0.3 in decreasing order.\nAnswer: 3, 0.3, -1679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (-72 + 70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 200 = -8*w. Suppose 6*h + w = -4. Put h, -6, 1, 6 in increasing order.\nAnswer: -6, h, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*l**2 - 2*l + 7*l**2 + 20 + 10*l**2 in the form i*l**2 + g + z*l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63.1 - -72.1. What is the closest to -1 in 0.1, 0.3, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -468 - -501. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnsssrrssssrssssn. What is prob of sequence snnr?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376252 is divided by 1231.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(1100)*-1).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n + 3*n + 2*n - 3. Determine x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/16 and 1833\/(-180) - (-6)\/(-15).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.047 * -2.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**4\/8 + 3*s**3\/2 - 6*s**2. List the prime factors of d(4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225076007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35900 by -4.\nAnswer: 8975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 662 + -667. Sort m, 54, 2 in ascending order.\nAnswer: m, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 r, and 1 c when four letters picked without replacement from ccroclcoolclclcl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) 0.03 (c) -209 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/12 + (16\/12)\/2. Put m, -5, 3, -6 in decreasing order.\nAnswer: 3, m, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/275 - (-219)\/75. Let h(w) = w + 2. Let s be h(-2). Sort s, 2, i in ascending order.\nAnswer: s, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5696 is divided by 203.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 12172?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 276 + 1029. Suppose 5*l = -q + 492, 0 = -3*q - 0*q + l + 1412. Let p = q + f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 2*z**2 - 6*z - 5. Determine t(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(440)\/(sqrt(10) + sqrt(160)) + sqrt(132)\/sqrt(3)*3)\/(1*sqrt(256) + sqrt(8)\/sqrt(2)*2).\nAnswer: 32*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10*t + 8*t = -1543, 2*t = z - 1531. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -409 + 416. Suppose 1513 - 281 = o*m. Let g be (-4)\/(1 + (-5)\/4). What is the highest common divisor of m and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2512, -3244, -368, 7922, 23432?\nAnswer: 47968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1037591 and 4292.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 25*a + 1010 = -81*a - 64*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -22*4\/8*-1 + 1. Let n be (u\/30)\/((-1)\/(-30)). Calculate the greatest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 143\/4, -3, -1, 1\/2, -5?\nAnswer: 143\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(45)\/(2*sqrt(81)) + 3.\nAnswer: sqrt(5)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 58?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n - 40*n - 29*n - 27*n**2.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 13. Is 23 a factor of z(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c - 2. Let x(b) = -1. Let s(u) = x(u) - y(u). Let g be s(3). What are the prime factors of ((-4)\/g)\/((-2)\/60)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002429 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -13*s**3 - 4*s**2 + 37*s. Let a(g) = -28*g**3 - 9*g**2 + 98*g + 1. Give 4*a(n) - 9*c(n).\nAnswer: 5*n**3 + 59*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1127 and 12559631.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000731 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 11874219.\nAnswer: 11874219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Let b(k) = -4*k - 2 + 0 - 13*k. Is b(f) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 0.029?\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:11 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*z + 236215, 4*s + 120477 = -z + 309467. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 183335 and 792.\nAnswer: 184127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14d94b (base 16) to base 7.\nAnswer: 14420343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/14 + (-8)\/(-56)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from hnynnynynyhyyhdy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.29389613*-0.3\nAnswer: 0.088168839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-92)\/276).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42157752 and 635208.\nAnswer: 800997288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 1174429730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105163561 + -3?\nAnswer: -105163564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 = -3*l, 5*l + 52 = -2*b + 82. Suppose 0 = l*y - 3*z - 6779 - 820, -5*z - 15 = 0. List the prime factors of y.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01385479 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2\/3)*-4. Let i(u) = 4*u - 3. Let d(f) = -17*f + 13. Let v(t) = g*d(t) + 26*i(t). Let h(o) = -o**2. Determine v(h(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f**2 + 2*f + 17. Does 17 divide r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 - 2*x**5 + x**5 - 3*x**4 + 3*x**4 - x**5 + (-1 - 1 + 1)*(-3*x**5 + 7*x**5 - 2*x**5) + (14*x - 31 + 31)*(-54*x**2 + 2*x**4 + 54*x**2).\nAnswer: 27*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132257*p + 132237*p + 80 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/3 + 2*w**3\/3 - w\/3.\nAnswer: -w*(w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -34*a + 32*a, 3*y + 5*a = -19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 46*g + 439. Let n be q(-9). Solve 0 = 24*p - n*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*c = 10018, -5008 = -s - 0*c + c. Suppose 0 = 5*t - 2*o - s, 3*t - o - 3003 = -0*t. Round t to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50410\/231 - -98915123\/453222. What is the common denominator of -77\/18 and o?\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72351877849\/90 - -803920177. Let x = q - 10424. Calculate the common denominator of 49\/12 and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 9:52 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 a factor of 22505346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 26153.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431 (base 7) to base 5.\nAnswer: -1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 4, w - 3*y + 5 = 0. Let v be w + -2 - (-1 + 2). Solve v*o = 3*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/10, -2, 1654?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-376)*12)\/(17\/(68\/(-6)))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**8*r*r))**27*(r**(-2\/15)*r)**31 assuming r is positive.\nAnswer: r**(-3242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o**2 + o - 5. Let c be g(4). Suppose -2*u = u - c. Calculate the highest common factor of 25 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4793323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120156 divided by 124?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__div_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: List the prime factors of 664863.\nAnswer: 3, 221621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b + 316. Calculate o(22).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 4*s**3 + 2*s**3)*(-s**2 + 2*s**2 - 2*s**2) + 246*s**5 + 850*s**5 - 409*s**5.\nAnswer: 688*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4841603 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 8*i + 16. Let q be s(-6). Suppose 10*u - 5*u + 4*d - 12 = 0, 2*d + q = 0. Solve u*y = 21 - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25397697 times 2\nAnswer: 0.50795394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339120426?\nAnswer: 2, 3, 56520071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8635?\nAnswer: 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*g + 89 = 31*g - 61*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -25*x**2 - 5346*x + 45281. Give o(-222).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 225 = -28*r + 7*r + 217 + 57, r - 4 = 4*g for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 56. Let n(t) = 55. What is 2*c(b) + 3*n(b)?\nAnswer: -4*b + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + z - 1. Suppose -h = -4*h + 3. What is n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119660*t**3 - 75350*t?\nAnswer: 717960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.788 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 - 48*g. Let c(f) = 26*f. What is c(i(k))?\nAnswer: -104*k**2 - 1248*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133787 and 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3163 + 4443. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405 greater than -192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -3303?\nAnswer: -3285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22455062 and 2618?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/21 + (-1 - 3*8\/(-36))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 19 = 4*a, -5*a - 69 = -74 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*l**2 - 10*l**3 - 177*l - 10*l**5 - 190*l - 18*l**3 - 5*l**3 + 373*l wrt l?\nAnswer: -600*l**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 60 (b) 0 (c) 3 (d) 2\/11 (e) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12*y. Let o(t) = 36*t. Let a be 2 - (-33)\/(-18) - 47\/(-6). What is a*v(s) - 3*o(s)?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 2, h: 8, i: 2}. Give prob of sequence hd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 350800214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15*m - 11. Let u be c(6). Let o = u + -47. Calculate the remainder when 93 is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -732 or -730?\nAnswer: -732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214081 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/9)\/r**(-1)*(r*r**(-4)*r)\/r*r**(-3\/8) assuming r is positive.\nAnswer: r**(-179\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*i + 65. What is i rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s - 4 = 0. Let n = 145\/42 - 19\/6. Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4275 + -4272. Let u(b) be the third derivative of 0*b - 2*b**2 + 7\/360*b**5 - 1\/9*b**o - 1\/12*b**4 + 0. Factor u(c).\nAnswer: (c - 2)*(7*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -78*o + 22. Let c(p) = 79*p - 15. Give -3*c(s) - 2*q(s).\nAnswer: -81*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 - 459 = -3*z, 4*z = -g + 622. Let r = z + -77. Is 37 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/7, -2\/3, 1, -43\/7, 2\/9.\nAnswer: -43\/7, -2\/3, -1\/7, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3397 - 433 = -5*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2249064.81 to the nearest ten thousand.\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzzehvveezv. Give prob of picking 2 z and 1 e.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((12 - 13) + 17).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, n: 5, h: 4}. What is prob of picking 1 n, 1 h, and 1 i?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 - 4 = 0. Let d(j) = -4*j**3 - 6*j**2 - 8*j - 7. Is 12 a factor of d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {g: 1, v: 2, s: 8, b: 1, k: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 6. Determine c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02955388 and -156050.\nAnswer: -156050.02955388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -5*y, 0 = 5*i - 4*i - y + 12. Is (i + -5 - 4)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3 - 1)*(44 - -97). Let f = g + 129. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49145779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1695 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (12 + -21 - -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25027339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -187, -307, -437, -583, -751, -947?\n\"Answer: -n**3 + n**2 - 116*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -7.4.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2))**28\/(i**(2\/9)*i*i)**(13\/2) assuming i is positive.\nAnswer: i**(248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 104 - 104 + 132*p as o + w*p and give w.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*v = 121*v - 204. Calculate the greatest common factor of v and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504 * -0.047\nAnswer: -23.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8081 and -1.\nAnswer: -8081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422758?\nAnswer: 2, 7, 30197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**3\/6 + 3*z. What is the units digit of o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2 - 1\/3*c**3 - 2*c - 4*c**2. What is the units digit of z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.133185 hours in weeks?\nAnswer: 0.232935625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 15*w + 26200. Round w to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56771, -227960, -513567, -913592, -1428035?\n\"Answer: -57209*i**2 + 438*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316\/1265 or 1?\nAnswer: 316\/1265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*(sqrt(171) + sqrt(171) + sqrt(171) + 2*sqrt(171)) + -2*(sqrt(171) + 1*sqrt(171)))*3)\/(-2*sqrt(1296) - (1*sqrt(90))\/sqrt(10)).\nAnswer: 288*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3894*j**2*z**2 + 218*j**2*z - 226*j*z**3 + 2*j - z**3 - 10577*z wrt z.\nAnswer: -7788*j**2 - 1356*j*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7004 = -4*y - m, -62*y + 1734 = -61*y - 4*m. Calculate the highest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((6*(-1*sqrt(2)*-4 - sqrt(2)) + 4)*-5 + 4))**2.\nAnswer: 46080*sqrt(2) + 263296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w. Let l(q) = 47244*q. What is l(c(n))?\nAnswer: 236220*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.4, 3, 2, 0.52, 21?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 113 = 478. Let p(q) = 2*q - 72. Let w be p(43). Suppose u - 3*j = w, -2*u + j - 4*j = -i. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17.5. Which is the closest to -1\/2? (a) -3 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 317 = -115. Let i = v - -74. Solve i*j - 2 = -0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2613 - 2675 = -31*z. Put 12\/11, z, 9 in descending order.\nAnswer: 9, z, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (7 - (-2 + 6)). Let p be g*((-6)\/(-159) - 0). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -21511143?\nAnswer: 21511145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let g(t) = t**2 - 12841*t. Calculate g(n(b)).\nAnswer: 4*b**2 - 25682*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0408333575 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121120 + 121152 + 367*x**2 + 253*x**2 - 328*x = 0.\nAnswer: 4\/31, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*h, 7 = 5*m + 3*h - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3940632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 548085845 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/2*(-8)\/(-6). Let u = n + -2. What is the remainder when 94 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(49)*-3 + sqrt(49) - -4*sqrt(3136))\/((sqrt(252)\/sqrt(4) - -5*(sqrt(7) - sqrt(21)\/sqrt(3)))*5).\nAnswer: 17*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, 0.21, 0.3, 2\/2259?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 285918 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(700) + sqrt(700) + -4.\nAnswer: -4 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 0.94?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*u + 226*u - 498 + 2130 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, 2\/39, -2 in decreasing order.\nAnswer: 7\/4, 2\/39, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-395)\/(-55)*(4 - 15\/4) and 73\/68.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000710433582 to five dps.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-2)\/(-2))\/((-19)\/437))\/(22\/(-66)). Solve 5*y = z + 24, -i*y - 4*z - 6 = -71*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h + 3*h - 1 + 0*h. Let m be y(2). What is the third derivative of 4*b**2 - b**2 + 0*b**2 + b**m wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 405 + -35. Calculate the greatest common factor of s and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 18747544?\nAnswer: -18747541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12*q. Let u(z) be the third derivative of 45*z**4\/8 - 2044*z**2. Give m(u(h)).\nAnswer: -1620*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4278 + -4277.9. Which is the second smallest value? (a) 2.3 (b) -0.3 (c) -2 (d) -1\/5 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5780 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: Suppose t + 104 = 2*t - 3*o, t + 2*o - 84 = 0. Let d = 33580 - 33557. What is the greatest common factor of d and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d**2 + 3*d - 2. Suppose -5*u = -25, 5 + 4 = 3*l + 3*u. What is the tens digit of g(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-135) - (-4)\/30*4810\/222.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5352 + -5351.9. What is the third smallest value in c, -36.7, -3\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 8. Let p(w) = -w + 1. Let d(t) = -t**2 - 4*t + 4. Calculate r*p(z) + d(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 2623*v - 17980. What is x(-7)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**6\/40 - 3*g**5\/20 - 3*g**4\/8 - g**3\/2 - 3*g**2\/8 - 8*g + 8. Let l(n) be the first derivative of s(n). Factor l(o).\nAnswer: -3*(o + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5610914755 to the power of 1\/4, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4079, -2585, -1091, 403, 1897, 3391?\n\"Answer: 1494*p - 5573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l. Let j(u) = -5083*u. Determine j(w(y)).\nAnswer: -55913*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 0*i - 4*i + 0*i + 0*i - i + 0*i - i + 0*i - 6*i + 3*i + 2*i + (2 + 0 - 4)*(-2 + 2*i + 2) - 3 + i + 3 - 5*i - i - 3*i + 2*i + 0 + 0.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s - 3589 - 9*s - 11*s.\nAnswer: s - 3589","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20770\/93*(-3)\/(-2). Which is smaller: y or 336?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20160 by -3360.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**6*z - 902*c**4*z**2 + 3*c**2*z**2 - 45*c*z + 2*z**2 wrt c.\nAnswer: -240*c**3*z - 21648*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56482694 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 236*o - 3136 - 1157 - 5619. Solve 15*x = 22*x - o for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 97. Let x = o + -95. Suppose -4*p + r = -20, x*p - 29 = 4*r - 1. Solve 0*h = p*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**4\/4 + 4*h**3\/3 + 2*h - 10. Let j be (4\/14)\/((-2)\/(-42)). Suppose -j*y - 20 = -2*y. Give x(y).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3051774*12*(-8)\/6. Let f = 19328384 + b. What is f rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 534166233 and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 45479302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/12 + (-88)\/(-3))\/2. Calculate the greatest common factor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(525))\/(-4*sqrt(192))*-2*-5*-6.\nAnswer: -75*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/17 - 112512*v**3\/17 + 1012812*v**2\/17 + 2363152*v\/17 + 1237830\/17 = 0?\nAnswer: -56265, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/5 - -11\/15. Let h = -0.9 - -0.5. Suppose -4*t + 1 = 2*c + c, -4*t - c = -3. What is the closest to t in 3, u, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8862\/38939 or 0?\nAnswer: -8862\/38939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 3*q + 3*q as l + m*q and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-2*b**3 + b**4 + 2*b**3) - 16230*b - 1278*b**4 + 16230*b.\nAnswer: -1279*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 8655?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 4919140.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8261 is divided by 476?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10917.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -12*b + 44. Let t(w) = 18*w - 50. Let z(r) = 19*r - 51. Let y(a) = -6*t(a) + 5*z(a). Let q(o) = -6*f(o) + 5*y(o). Is 9 a factor of q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + b**2 + 2*b + 1. Let w(a) = 57*a**3 - 41*a**2 - 8*a - 4. Determine -4*m(p) - w(p).\nAnswer: -61*p**3 + 37*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 12*l - 36. What is the tens digit of v(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270872 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -58\/13348097?\nAnswer: -58\/13348097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209 - 130. Calculate the common denominator of (-12)\/(-42) + (-1)\/((-252)\/l) and -11\/9.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 1 v when three letters picked without replacement from {l: 1, e: 1, z: 12, v: 2, a: 1}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v**5 - v**4 - 24639*v**3 - 133410*v**2 + 4*v.\nAnswer: 360*v**2 - 24*v - 147834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 893.7188 milligrams?\nAnswer: 0.8937188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 + 38*o + 88. Let j be z(-4). Solve 0 = 2*p + 47*h - 50*h - 9, -p + 5*h + 8 = j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3896 + -3895. Let u(c) = 41*c + 3. What is u(x)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 4077?\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 10 - 2*z**3 + 6*z**2 - 13*z + 99 + 9 - 7*z - 116 to the form a*z**2 + r*z + m*z**3 + n + u*z**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 16*t. Let h(q) = -4 - 3 + 22 - 2*q - 1. Give l(h(x)).\nAnswer: -32*x + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v - 16. Is 24 a factor of u(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117.502 - -117. Round z to two dps.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w - t = 476, 4*w = -4*t + 952. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15045547 and 13677770?\nAnswer: 150455470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 22*y**2 + y**3 - 20*y**2)*(8 - 15 - 26) as o*y**3 + z*y**2 + g + p*y and give g.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 7. Let c be z(-9). Suppose -3*f + c = 2*v, -2*v + 3*f + 9 + 10 = 0. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11456, -45284, -101662, -180590?\nAnswer: -282068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3933382 - -199.39.\nAnswer: -3933182.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5936)\/40)\/((-596)\/(-510) + -1). Let j = y + 880. Which is the second biggest value? (a) 0.3 (b) 0 (c) j (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/108 + 17\/6. Suppose -16\/9 - g*c - 4\/3*c**2 - 2\/9*c**3 = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - -1 - ((19 - (54 - 8)) + 46)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -78*f + 147. Let u be w(10). Let j = -629 - u. Solve -4*c + 23 + 3 = -2*i, j*i - c + 24 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -201*t + 6922. Let r be c(34). Solve 31*s - 67 = r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 372 and 40.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 76, -4, -3, 3, 7.\nAnswer: -4, -3, -1, 3, 7, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884, -1456, -2028, -2600, -3172?\nAnswer: -3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1479148 divided by -2\nAnswer: -739574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w - 2*p + 31 = 0, -4*w + 18 = 5*p. Which is greater: 142\/25 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 14*c = 29*c. What is b in -3\/5*b**5 - 18\/5*b**4 - 9\/5*b - 6*b**2 - 36\/5*b**3 + c = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -57342 divided by 38\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*o**3)*(-419*o**2 + 832*o**2 + 17 - 411*o**2 + 4*o).\nAnswer: -12*o**5 - 24*o**4 - 102*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + m + 70, -4*s + 2*m + 2*m + 144 = 0. Let l = -26 + s. Calculate the remainder when 13 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s + 92 - 252. Solve 42*l - s*l = 110 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31761633 by -14.\nAnswer: 31761633\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*12\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 6*b + 15 = b, 5*i - 3*b = -28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 + -132. Let a = 1278 - 813. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**5\/150 - 83*q**4\/30 + 6889*q**3\/15 - q**2\/2 - 31*q + 206. Let i(a) be the second derivative of v(a). Factor i(b).\nAnswer: 2*(b - 83)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9870)\/(-1645))\/(((-225)\/2200)\/(6\/(-4)))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4843 and -4656987.\nAnswer: -4656986.5157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*z**3 + 814*z**3 + 15684028*z**2 - 15684028*z**2.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a - 3. Let y(n) = -7*n + 2. Suppose -9140 = -4*d - 3*r, 0 = -2*d - d + 3*r + 6876. Suppose -2285*q + 21 = -d*q. Calculate q*y(i) - 4*j(i).\nAnswer: -7*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10150655 to the power of 1\/2, to the nearest integer?\nAnswer: 3186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1417 or 0?\nAnswer: -1\/1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2070)\/(-115)*(-1)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2494*a - 2501*a = -217 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -366, -4, -0.4.\nAnswer: -366, -4, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 26*u**5 - 11*u**5 + (1 + u**2 - 1)*(-11*u**3 + 10*u**2 - 10*u**2).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 223 + 122 = 0. What is the greatest common divisor of 46 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164270 + 164270.0104323. Round r to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-318)\/((-16679736)\/(-186)))\/(2*1\/24)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 3280*k**2 + 722532*k - 4453488.\nAnswer: (k - 6)*(k + 244)*(k + 3042)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v + 31. Suppose 0*w = 3*w + 12. Let g = w - -9. Solve 0*j + v = g*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = z - 7*z. Is 56 a factor of (2 - (-1 - -41))\/((-2)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 22*r - 60 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*d = -c - 12, -4*d = -20. Does 11 divide (c - -4)\/((-2)\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 0 + 0*p**3 + 3\/7*p**4 + 0*p**2 + 0*p = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20227928 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*s + 158*s + 253*s as u + v*s and give v.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.598 + -0.298. What is the nearest to 0.3 in -0.5, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c4f + -5?\nAnswer: c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.112 + 4.888. Let w = 190\/9 + -21. What is the closest to -3 in h, w, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17273\/2 - -8648. Let h(n) be the second derivative of -22\/3*n**3 + 0 - q*n**2 - 19*n. What is the first derivative of h(s) wrt s?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 37, 3\/4, 1\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5 = 2*l, 2*l + 9 = 8*b - 7*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**2 - x + 1. Let b be z(1). Let k = 317.06 - 320. Let a = k + 2.94. What is the nearest to b in -2, 0.4, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 + -217. What is the nearest to -3 in 7, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -32, -5*l - 42 = -2935*b + 2939*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 158, 567, 1370, 2699, 4686, 7463?\n\"Answer: 22*k**3 - k**2 - 4*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6445*d + 167622. Determine w(-26).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1559.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 33\/36*(-98)\/539\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.4000008785 - 15.4. What is w rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 968 and 968.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v - 1794 = 2038 + 152 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.75 - 7.87. Let d = i - -0.12. Let x = -204 + 607\/3. Which is the nearest to 1? (a) 3 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-20))\/((-1)\/(-4)). Suppose -3*v + 2*z - 12 = -4*v, g*v - 5*z = 33. Suppose 0 = -d + 5*a + v + 14, -86 = -2*d - 5*a. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10360, -10352, -10342, -10330?\nAnswer: -10316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q, -5*q = g - 19. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 388020, 388021, 388022?\n\"Answer: o + 388019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*w + 5212, -w + 124*g + 2622 = 119*g. List the prime factors of w.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -955 - -6?\nAnswer: -94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*d + 27*d - 121*d as c + u*d and give u.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3617*z = 171807 + 81383 for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)**(-2\/45)\/(f*f*f*f**1*f)**(-13\/5) assuming f is positive.\nAnswer: f**(589\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 79645?\nAnswer: -1194675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1\/6, -2, -30?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927 = -2*x + 105*x. What is the least common multiple of x and 2 + -5 + 1 - -77?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-514)\/3084)\/(6\/8). What is the biggest value in b, 0.5, -0.07, -4\/7, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1134*b + 3417. Let x be c(-3). Which is greater: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aawv when four letters picked without replacement from {a: 8, v: 5, w: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 2, -4, 20, 8 in descending order.\nAnswer: 20, 8, 2, -0.09, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-869)\/66 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27165222?\nAnswer: 2, 3, 7, 167, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.5*-0.4.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dscn when four letters picked without replacement from eennsncnenneedesed?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(480)*-1 + sqrt(30)))\/((sqrt(440)\/(sqrt(11)*1))\/sqrt(4)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1197 = -100*l + 403. Is l less than 378\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - (0\/(-1) + 3). Suppose -o*m + 52 = -0*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**3 - 164*v**2 - v + 42094?\nAnswer: -6*v**2 - 328*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = r - 2342 - 10201, 0 = -5*z - r + 20907. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 214 + 76 = 32*w, 118*w + 90 = 116*w - 4*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let y(x) = -5*x**2 + 3. Let t(s) = -1. Let l(z) = -3*t(z) - y(z). Determine q(l(m)).\nAnswer: -50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9924 by 6.\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.35 rounded to one decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42533 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 412?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5193 = 31*s - 27*s + 5*n, -5*n = -25. Is s a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Suppose 0 = p - 18 - w. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 3211?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -13\/3. Suppose -x + 392*m = 389*m - 7, 2*x + 1 = m. Which is the nearest to 0? (a) -4 (b) j (c) -2\/25 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidddiqiiqiiqdiq. Give prob of picking 2 d and 1 q.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -41, -93, -165, -257, -369, -501?\n\"Answer: -10*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-22)\/24))\/((-8)\/4)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 79, 124, 173, 226?\n\"Answer: 2*p**2 + 35*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638060405.\nAnswer: 5, 527612081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-180)*(-3)\/(-2). Let o(c) be the second derivative of 0*c**4 + 0*c**2 - b*c**5 - c + 1\/90*c**6 + 0*c**3 + 0. Let o(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1840 and 115.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183515 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 4800, -3\/29 in increasing order.\nAnswer: -3\/29, 4, 5, 4800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.068.\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/59472 and -65\/2352.\nAnswer: 416304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8511815*s**2*z**3 - 11*s**2 + 151329*z**2 wrt z.\nAnswer: -51070890*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 11. Let l = -376 + -113. Let v = l + 493. Let i(c) = 1. Calculate v*k(j) + 44*i(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1349*j - 1 + 0 - 1288*j)*(-2 + 2 - j).\nAnswer: -61*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 93470167 to the power of 1\/2, to the nearest integer?\nAnswer: 9668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x**2 - 8*x + 2. Let s(f) = 28*f**2 - 15*f + 5. Let c(u) = 5*p(u) - 2*s(u). Find the second derivative of c(b) wrt b.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 32 = -4*r, 892*r - 888*r + 5*n + 40 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389401 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108517143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1813 + 527 = 0. Which is bigger: n or -587?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 77 = 81 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 8*v + 9. What is r(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -1. Let w = a + 0.6. Let c = 639 - 639.5. Sort w, 0, c in ascending order.\nAnswer: c, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220002000102211 + -11?\nAnswer: -11220002000102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398407, 796813, 1195219?\nAnswer: 1593625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13874189 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let c(p) be the third derivative of -2*p**4\/3 - 4*p**2. Determine j(c(h)).\nAnswer: -256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k*p**3 - 12*k*p**2 + 443*k - 35*p**5 + 23*p**2 - 980*p wrt p.\nAnswer: -24*k*p - 24*k - 700*p**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139152 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m + 88. What is s(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/3*5\/((-40)\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*j = -6, -12 = 4*q + 5*j + 12. Let s = 42 - q. Calculate the remainder when s is divided by 2 - 74\/(-8) - 9\/36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -2)**2*3.\nAnswer: -108*sqrt(2) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from bzbbz?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, 20 in increasing order.\nAnswer: -4, -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 24 = -18. Let c = -8 + -1. Let d = c + o. Solve -z + d*z = 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 26 + 44*f**2 + 3*f - 8*f.\nAnswer: 44*f**2 - 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**2 - 2*k**2 - 2*k**2 + (3*k - 5*k + 0*k)*(-k - 4*k + 3*k) - 10*k**2 + 2*k**2 - 3*k**2)*(2 + 0 + 0) - 12*k**2 + 73*k - 73*k.\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1 - 37061*y - 1 + 2 + 37062*y. Let v(k) = 52*k. Give 130*g(d) - 2*v(d).\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**3 - 2*q - 41. Let o(n) = 13*n**3 + 3*n + 42. Let z = 215 + -213. Let y(t) = z*o(t) + 3*r(t). Find the first derivative of y(w) wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2 - 630434*m - 7250664 wrt m.\nAnswer: 2*m - 630434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004691 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -15. Let q(f) = -f**3 + 7*f**2 + 9*f - 8. Let m be q(8). Is 13 a factor of m + t*(-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j*j**(-1\/2))*j))**(-1\/9)\/((j\/(j*j\/((j*j**(-3\/4)\/j)\/j)))\/j**(-2\/25)) assuming j is positive.\nAnswer: j**(851\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.01 + 1. Let w = p + -1.99. Let o be (-1 + (-11)\/(-7))\/(-2). Which is the second smallest value? (a) w (b) o (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37685 minus 1993898?\nAnswer: -1956213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and -0.059?\nAnswer: -0.01003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*s**3 + 240*s**2 - 180*s**3 + 1099*s**2.\nAnswer: -300*s**3 + 1339*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -671 + -135?\nAnswer: -7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574762124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 3, j: 1}. Give prob of picking 1 j and 1 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -5, -1\/153, 0.4 in decreasing order.\nAnswer: 0.4, 2\/11, -1\/153, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r - 6*r + 4*r - 2*r. Let v(q) = -44*q. What is v(m(b))?\nAnswer: 44*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2472336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) -1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 3*i - 2*i - 3134812*i**3.\nAnswer: -3134812*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16. Suppose 4*i - 3*y - y = 44, 4*y = q. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d - 8. Let c be d\/(-3)*(-42)\/(-8). Calculate the greatest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681*v**2 - 689*v**2 + 1372*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 21*i - 31*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**4 + 4*q**3\/3 + 2. Find the third derivative of p(m) wrt m.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 6. Let u be z(7). Suppose -2*s - 4*x + 5*x + 16 = 0, -3*s - 2*x + 10 = 0. Suppose 0 = -s*j - 6*j. Sort u, 2, j in ascending order.\nAnswer: u, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i**4 - 2*i**4 + 4*i**4 + (60*i**2 + 22*i**2 - 38*i**2)*(-i**2 + 2*i**2 + i**2).\nAnswer: 101*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {e: 3, d: 6, b: 3, w: 1, v: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3045.\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*s - 46. Differentiate -4 + 10*c**3 - 8*c**s + 0 - 10*c**3 with respect to c.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + (0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*1*(-54)\/(-8). Let f = 2 - w. Factor -6*d**3 + 27*d**4 - 5*d**2 - 2*d**2 - f*d**4 + 3*d**2.\nAnswer: -2*d**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133724449*o**3 + 3*o**2 - 8602494*o wrt o.\nAnswer: 802346694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 5:29 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/75 and -149\/18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(3 - 4))\/2. Let z be (2 - 3)\/1*w. Let b be (4 - 1) + (7 - z). Which is smaller: b or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 184.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16929503?\nAnswer: 31, 73, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.028*-0.03.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5 = -l, 0 = -4*l + 7*n - 5*n + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 115160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/2)\/(115*111\/(-28083))?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 21*t**2 + 7*t + 29. Let p be h(15). Let l = -63825\/8 - p. Calculate the common denominator of (44\/48)\/((-1)\/14) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 171 = 12*n. Let f(d) = 2*d - 1. Let h be f(3). Suppose h = y - 2. Calculate the remainder when n is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121244321 (base 5) to base 4.\nAnswer: -2023212330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 15 = 0. Suppose x*j = j. Put 4, j, 5 in ascending order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 6*g**5\/7 + 45*g**4\/7 + 111*g**3\/7 + 99*g**2\/7 + 27*g\/7 = 0?\nAnswer: -3, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57990 + 101538. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*215311.\nAnswer: 4306.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 148 = -314*a + 318*a, 0 = 2*n - 5*a - 49. What is the remainder when -205*(1 + 0 + -2) is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/48 and -4\/2106429?\nAnswer: 33702864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2341*c**2 + 2345*c**2 - 7450*c**2 + 2768*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3424, -78, -3 in decreasing order.\nAnswer: 3424, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6 and 151\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.306 times 26\nAnswer: -7.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8 - 13499*c + 4503*c + 9*c**2 + 4498*c + 4498*c. Let h(m) = 8*m**2 - 3*m + 3*m + 7. Determine 6*f(p) - 7*h(p).\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -87202073 and -2.\nAnswer: -87202075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) 2\/3 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 58*z**2\/3 - 112*z\/3.\nAnswer: -z*(z + 2)*(z + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 + 12.6. Let b = z + -9. Sort 0.1, -3, b in ascending order.\nAnswer: -3, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/(-238))\/((-6)\/21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**7)**(-16\/9)\/(((c\/(c**(1\/4)*c)*c)\/c)\/c**(6\/5)))**(-45) assuming c is positive.\nAnswer: c**(-2181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2 + 14348*u + 882670 = 0.\nAnswer: -61, 7235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/217 - -428\/651. Which is the nearest to h? (a) 3 (b) 0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20552479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5837065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -110*f**3 + 3*f**2 - 5*f + 1. Give o(1).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 235*f**2 + 76*f + 180. Give t(-4).\nAnswer: 3636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b + 16d?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 850 divide 81038355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 217273808, 434547617, 651821426, 869095235, 1086369044, 1303642853?\n\"Answer: 217273809*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/((-22)\/33). Is 412 + a*(3 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 c, 1 p, and 1 a when four letters picked without replacement from aavcqqpiqvaiqavvqpqq?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-7))\/h)\/h**(-1\/3)*h**7\/(h*h**7)*(h**0\/((((h\/h**(-6))\/h*h)\/h)\/h))\/(h**(-2\/13)*h**5\/h) assuming h is positive.\nAnswer: h**(-98\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + (-168)\/(-416). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (2 - (1 + (0 - -13) + -5)) + 3.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126488975179\/3340 - -37870954. Let j = u + 134\/167. What is the common denominator of 73\/20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**4 + 56*u**3 + 104*u**2 - 88*u - 44. Let v(g) = 2*g**3 + g**2 - 2*g - 1. Let z(c) = -k(c) + 44*v(c). Let z(t) = 0. What is t?\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 18 = h - 2*r, 2*h + 5*r - 88 = 0. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - (-141242)\/8 - (20 - (-2370)\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 + 8488*a**2 - 267100*a - 275584 = 0.\nAnswer: -2153, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 2 - (-2)\/3. Let i be 1\/(-2)*1*-6. Factor -8\/3*r**i - a*r + 4*r**2 + 2\/3*r**4 + 2\/3.\nAnswer: 2*(r - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18903019 > 37806039\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12960 and 13320.\nAnswer: 479520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 103*u**2 - 194*u**2 + 97*u**2. Let k(d) = -d + 3. Let r(m) = m - 4. Let g(t) = -4*k(t) - 3*r(t). Give g(h(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 5*u + 4*u + 3.\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*x = -11, x + 6 - 3 = 0. Is -8\/7 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261\/376 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2321920 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -4\/45*w**5 + 1\/9*w**3 + 0*w - 7\/36*w**4 + 0 + 11*w**2. Factor o(z).\nAnswer: -2*(z + 1)*(8*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/6)\/h*h**21)\/(((h*h*h**15*h)\/h)\/h*h**(-1\/3)))**(-13\/3) assuming h is positive.\nAnswer: h**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 - -205. Suppose 34*g = 5*f + v*g, -f + g = -4. Sort f, -3, 106 in decreasing order.\nAnswer: 106, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**5 + 5184065*l**3 - l**2 - 5727*l - 2.\nAnswer: 300*l**2 + 31104390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*5*(2 + sqrt(72)) + (sqrt(72)\/sqrt(48))\/(sqrt(27)\/sqrt(225)).\nAnswer: 120 + 725*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323 - 321. Let y(d) = -40*d. Let v(n) = 3*n. Let z(s) = l*y(s) + 25*v(s). Let i(h) = 3*h. What is i(z(g))?\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.205 in 8, 2, 4, -1\/5, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1898 = 8*w - 142. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or -92?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + 0.07. Let w = -6.7 + 12.4. Let k = 8.7 - w. Which is the second smallest value? (a) -0.4 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*(5 - 90\/42).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406.3312 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*h - h - 16, -4*h + 4 = w. Suppose t**5 + 4*t**2 - 10 + 11*t + 10 - 14*t - w*t**4 + 2*t**3 = 0. Calculate t.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10}. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 79\/(-25))\/(2522\/485).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35105 and 1475?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-50)\/4*(285444\/15)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let m(a) = 73*a. Let u(t) = 24*t. Let w(g) = 2*m(g) - 7*u(g). Give l(w(f)).\nAnswer: 484*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.6834ng in tonnes?\nAnswer: 0.0000000000001316834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -554*a - 564*a + 1158*a - 2280 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36468 - -36474. What is the nearest to 0 in -1\/3, w, -148?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 778*t**3 + 376*t**3 - 29*t + 411*t**3 + 3 to the form m*t + j + k*t**2 + g*t**3 and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 10019 - -1 - 0\/(-6). Round l to the nearest 100.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)\/t)**(-25))**(-9\/4)*(t**(3\/7)*t\/(t**(-2\/9)*t)*t)**(-23\/5) assuming t is positive.\nAnswer: t**(-231761\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j + 11 + 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 94*w + 90*w = 2*c - 26, 71*c = -w + 500 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2)*(-192)\/(-320)*-5. Sort -2, 3, z, 5, -12 in decreasing order.\nAnswer: 5, 3, -2, z, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 16*f**2 + 21*f + 99. Determine c(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 7. What is the smallest value in -1\/4, -2\/9, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -692, -1387, -2068, -2729, -3364, -3967?\n\"Answer: r**3 + r**2 - 705*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyncyncihndc. What is prob of picking 1 h, 2 y, and 1 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p + 36. Let c be y(-10). Let o(w) = -2*w**2 - 4*w + 3. Calculate o(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1499*j**3 + 4*j**2 - 2*j. Let a be x(1). Suppose u = -8*r + 4*r + a, 3*r - 1124 = u. Is 54 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 1, a: 1, w: 1, p: 1, q: 2}. Give prob of picking 1 w, 1 q, 1 z, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/z**(1\/28)*z*z**(-5))\/(z**(-1\/2))**(-23) assuming z is positive.\nAnswer: z**(-351\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcnonovcvvocqvoocn. What is prob of picking 1 o and 2 v?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -5. Let n be (q - -1) + (-3 - -24). Suppose 0*h + 66 = 5*y - 2*h, -3*h - n = -y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*12.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15\/12*(-96)\/8*1\/1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.07 less than -3.23?\nAnswer: 4.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b - 20. Let v be (14\/b)\/(10\/(-20)). Let g(k) = 8*k - 6*k - 7 + v. Let z(a) = -a**2. What is z(g(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 4102116*x - 4102114.\nAnswer: -2*(x - 2051057)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/357)\/((1\/7)\/(173\/(-346)))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/3, -99, 1, 2\/7, 18, 26?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 404419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -404*r - r**3 - 2*r**2 + 347*r**4 + 405*r - 107*r**4 as o*r + y*r**4 + l*r**3 + u + g*r**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 509 - 615. Let n = -1442.7 + 1337. Let v = s - n. Which is the fourth biggest value? (a) v (b) -4 (c) 0.04 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 6*f**2 - 2*f - 2. Let o be k(5). Let u be o\/12 - 2\/(-12). Solve u*l = 2*h - 18, l = 3*h - 12 - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.6 + 26.5. Which is the smallest value? (a) -2 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105456.5 nanoseconds in milliseconds?\nAnswer: 0.1054565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*j + 17, 2*j - 2*h - 3842 + 3850 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 6280000 = -4*v. Suppose -3*m + v = -m. What is m rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 54. Suppose -l*b = -21 - 24. Solve -6 = b*z - 3*i, 4 = -2*z - 5*i + 14 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*i. Let l be i*(-5)\/2 + 2. Let o be l\/6*-8 + -3. Are o and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 + 6 - -7 - -17994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-10))**(-3\/8) assuming n is positive.\nAnswer: n**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*f - 2)*(1 + 1 - 7)*(89 - 72 - 61).\nAnswer: 660*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1738 + -1693. Which is the second smallest value? (a) 2 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d**2 + 15*d + 32. Let h be r(-2). Suppose h*n = 141 + 91. Solve -o + 4*y = -n, -3*o + 5*y + 8 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(-25)\/(1375\/22).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12038, 24076, 36114, 48152?\n\"Answer: 12038*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -565 by 401.\nAnswer: -565\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 7*i**2 - 3*i + 10. Suppose -5*g - 8 = -3, 0 = 4*s + 5*g - 499. Let z = s + -119. Give m(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3 + 69909624*c**2 - 139819260*c + 69909632 = 0.\nAnswer: -17477408, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4577 + 2?\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/35, -1, -3\/16, 0.28, -13, -0.2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1235, -0.34, 0.2.\nAnswer: -3, -0.34, 0.2, 1235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*f, -5*f - 2*s = -0*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 11143 = c + 31702, 5*c + 10678 = i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + b - 3 + 3 + (-b + 5*b - 2*b)*(2 + 3 - 4) - 23*b - 16*b - 5*b.\nAnswer: -41*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 1080.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43154071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 166?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.1. Let r = 8 + -10. What is the closest to l in r, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 12*l**2 - 61*l + 247. Let y be i(15). Solve 7 + 28 = y*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1195 divided by 5.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 442624 and 152041344?\nAnswer: 304082688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 199.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-15))\/(308\/(-20) + 15)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -814843*51.\nAnswer: -41556993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -24, -49, -94, -165, -268, -409?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*y - 21. Sort y, -3, -5 in increasing order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -26.\nAnswer: 47\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - 3*a - 58. Let x(r) = 4*r**2 - 2*r - 56. What is -2*m(y) + 3*x(y)?\nAnswer: 2*y**2 - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -3 + 1)*(-3)\/(-114). Is q >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let y be 6*1*1\/3. Let a(w) = 3*w**y + w**2 - 6*w**2. Calculate a(q(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + -47. Let s = v - -158. Let h = -192.271 + s. What is h rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96212, 96188, 96136, 96050, 95924, 95752, 95528, 95246?\n\"Answer: -a**3 - 8*a**2 + 7*a + 96214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/21 - 3880*m\/21 + 1881800\/21 = 0. What is m?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70123 is divided by 70017.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o**3 - 6*o**2 + 8*o + 5. Let w(g) = -3*g**3 - 2*g**2 + 3*g + 2. Let c(b) = -4*h(b) + 11*w(b). Let z be c(3). Let y be z + -18*(-2)\/8. Is -5\/8 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.105.\nAnswer: 0.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, n: 1, w: 6}. Give prob of picking 1 h and 1 w.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -3*v - 40, -2*j + 8114*v = 8117*v + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:28 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/155)\/(6\/(-15)). Let a = w - 87\/124. Put -1\/4, a, -0.1 in increasing order.\nAnswer: a, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147961*y - 146354*y + 170342 for y.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 2053, 4692, 8397, 13174, 19029, 25968, 33997?\nAnswer: 43122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/12)\/(-9))\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186944 and 33966912?\nAnswer: 8128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -37, -0.2, -111?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006694 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1345 - 3?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*i - 76 = 0, 0 = -5*i + 3*i. What is the second derivative of 213*z**3 - y*z - 65*z - 66*z + 12*z wrt z?\nAnswer: 1278*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.442 less than 6529.76?\nAnswer: 6529.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1650)\/(-187))\/((-920)\/(-9384))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1777322 litres to millilitres.\nAnswer: 177.7322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 0.033 (b) -12\/13 (c) 9 (d) -2\/19 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from {t: 5, j: 1, u: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 25*n**2 + 24*n + 5. Let o(f) = -f**3 - 12*f**2 + 36*f + 136. Let r be o(-14). Let k be y(r). Put 0, k, 32 in decreasing order.\nAnswer: 32, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 55*j - 23*j - 17*j + j**2 - 7 - 21*j. Let v be 3 - (-9 + 3)\/3. What is l(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 64*c**2 + 7*c - 11. Let k(m) = 32*m**2 + 3*m - 5. Let x(a) = -4*b(a) + 9*k(a). What is the units digit of x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*z = 3*x - 25, x = -3*z + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 64768 and 388609\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {n: 1, x: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/(3\/((-3)\/2)). Suppose 4*x - 3*x - 1 = 0. Suppose -k - 4*q = -18, x = -4*k - 4*q + t. Solve -k*a - 3*a - 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 24\/25, -17, -9, 0, -1\/5, -0.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -4, 157, 12, -3 in decreasing order.\nAnswer: 157, 12, 0, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*z - 37*z - 37*z)*(4*z + 1 - 1).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 15. Suppose 26 - 6 = m*k. Find the second derivative of -2*t + 0*t + 2*t**2 - 4*t**k - 2*t**2 wrt t.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dydd when four letters picked without replacement from {y: 1, t: 1, d: 3, b: 3, w: 3, z: 7}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 2*j + 2. Let i be n(-3). Let x = 11 - i. Let s be -3*2*3\/x. Sort 2, 1, s in ascending order.\nAnswer: 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/15 + 296*q**2\/5 - 43808*q\/5 + 6483584\/15.\nAnswer: -2*(q - 148)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 - 3*v**2 - v - v**2 + 9 - 9 + 15*v**2 + 3*v**2 - 3*v**2 - v**2 + (-3 + 5 + 0)*(4*v - 4*v - 2*v**2) + 3*v**2 - v**2 + 0*v**2.\nAnswer: 13*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354307068 divided by -118102356.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3943 - -31.6043. Let f = t + 2.79. Is 0.2 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 177.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*r - 2512 = 332*r + 5667 + 9123 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/4 - p**3\/3 + p**2\/2 + 4*p - 1. Let f be x(0). What is the second derivative of 3*i - 2*i + 4*i**f - 4*i wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -9. Let j = -3 - k. Suppose -j*c + 39 = -c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.7733403 to 0 dps.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b\/(b**(-1\/2)*b*b))\/b)))**13*(b**7\/b)\/b*b**(-2\/11)\/b assuming b is positive.\nAnswer: b**(-345\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*f**3 + b**3*f*v + 4244*b**3*q*v - 2*b**2*f**3*q*v - 1174*b**2*f**3*q - 4*b**2*f**2*v + b*f*q + 12*f**3*q*v wrt b?\nAnswer: 24*f**3 + 6*f*v + 25464*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506135599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -54, 0.2, -0.4, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 + 333*b\/2 - 168.\nAnswer: 3*(b - 1)*(b + 112)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76172)\/(-6302) + 1*-12.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 485 (b) 1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 922506.6 decades in centuries?\nAnswer: 92250.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (1 - 2)*0. Let f be (-2)\/(-7) - 304\/(-112). Is c at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/1969 and -48\/42065.\nAnswer: 462715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a**2 + 3*a**2 + 4*a**2)*(171 - 4 + 37) in the form z + s*a**2 + y*a and give s.\nAnswer: 2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -120023?\nAnswer: 120032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**8\/6720 - h**4\/4 + 2*h. Let d(p) be the third derivative of v(p). Factor d(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 + -105.999644. What is d rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z - 74*z + 43*z = 414 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.9 + 9.96. Let s = 38.2 - 38. Sort k, 0.3, 0.1, s in decreasing order.\nAnswer: 0.3, s, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33851494 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2971892 and 770.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -13*s + 25 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 - 2*z - 2. Let m(t) = -11 + 0*t + 14*t**3 - 11*t + 11*t**3 - 4*t**3 + 0. Give -22*l(w) + 4*m(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 3*i**2 - 23*i. Let l(v) = 35*v**2 - 19*v**2 + 3*v**3 - 10*v**2 - v**3 - 45*v - 11*v**2. Determine 5*g(w) - 3*l(w).\nAnswer: -w**3 + 20*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -89739 rounded to the nearest 1000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7230019)\/(-58)*(-4 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - h**2 + h + 5. Let s(w) = -w**3 + w**2 - w - 4. Let q(k) = 2*p(k) + 3*s(k). Let g be 6\/3 - -2 - -2. Let r = 8 - g. Give q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 94)*2\/8. Suppose 4*q - 3*q = 0. Suppose -a + 3*w = -q*a + 7, -5*w = 4*a - p. Solve -3*l = -3*n + 6, 3*n - a*n + 5*l + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 n, and 1 u when four letters picked without replacement from {n: 4, g: 4, h: 3, u: 1, f: 1}.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10 + 1)*(-8*k + 23*k + 12*k - 2*k - 4*k + 5*k - 2*k + 2*k - 3*k - k - 4 + 4 + (-3 + 0 + 2)*(3*k + 0*k - 2*k)).\nAnswer: 189*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15969*m + 15942*m - 17621*m + 36630*m + 26476*m + (-1 + 1 + 2)*(-1 - m + 1) to b + k*m and give k.\nAnswer: 77394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0 + 24. Suppose 0 = -a*j + 10*j + 10. Let n be 4*(-3)\/(-2) + -3. Put 2, n, j in descending order.\nAnswer: j, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*c + 14*c + 10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 6*l + 7. Let c(t) = t. Let z be c(2). Suppose -i - 25 = -2*i - 5*n, 0 = -5*i + z*n + 17. Let w be p(i). Is w < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 48168240*v**2 + 240841100*v.\nAnswer: 4*v*(v - 12042055)*(v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2846056 is divided by 4210?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 - 4*i**2 + 1 - 3*i + 3*i**2 + 7*i**3 to m*i**3 + c*i + w + l*i**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 3 (c) -2\/9 (d) -3 (e) 0.4 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317\/2 or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 7 + 7)*(-4*t + 4*t + t) + (7 + 19 + 2)*(0*t - t + 0*t) to the form i*t + a and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -535*o*y**3 - 2*o*y - 10*y**2 + 3 wrt y.\nAnswer: -3210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3*s + s)*(-1 + s + 1)*(-122*s**3 + 78*s**3 + 78*s**3 + (4*s**3 - 3*s**3 + s**3)*(0 + 2 - 1)).\nAnswer: -36*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from {x: 5, y: 3, p: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/20 (b) -1\/11 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 9819.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 6587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 73 = -5*y. Let w = 23 - y. Calculate the remainder when 30 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810601?\nAnswer: 3, 312289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from {u: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + d = 2*d + 1, 3*m = -2*d - 2. Suppose m = -4*y + y. Let q be (y + 6)\/((-6)\/(-4)). Solve -16 = -2*b + 3*b + 4*x, -3*b + 32 = -q*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**4 + o**3 + o**2 + 4*o. Let b(c) = 20*c**4 + 227*c**3 + 5453*c**2 - 69204*c. Let r(x) = 2*b(x) + 6*z(x). What is j in r(j) = 0?\nAnswer: -62, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1256081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 7*f**2.\nAnswer: f**2*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:42 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.77637149 to 3 decimal places.\nAnswer: 1.776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/13 - 28\/13*d + 6\/13*d**2.\nAnswer: 2*(d - 4)*(3*d - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**5 - 2314*i**4\/3 + 71827*i**3\/3 - 604108*i**2\/3 - 157508*i - 29232 = 0. What is i?\nAnswer: -2\/5, -1\/3, 18, 21, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-62)\/(-6) - 10\/(-15). Let x = 5 - m. What is the units digit of (-18)\/(-5) + x\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -15. Let n(w) = -6*w**2 - x*w**3 + 1 + 7*w**2 + 4*w**3 + 6*w + 6*w**2. Let c be n(-6). Is c < -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1738363 - 2?\nAnswer: 1738361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4 - 2*d + 2 - 3. Calculate m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*u = -72*u - 4. Sort 3, u, 4 in ascending order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463169 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: Factor 11\/4 - 1\/4*g**4 - 3*g + 3*g**3 - 5\/2*g**2.\nAnswer: -(g - 11)*(g - 1)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 10. Let b be t(-5). Suppose 2*v = 3*v + 3*y - 13, -b*y = 25. Suppose -l + 3*l - v = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178\/21 + -1801\/210. Which is the closest to -1? (a) -1.6 (b) 2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 21*i - 15. Let z be m(-8). Suppose 0 = -z*a + 296 - 62. What is the smallest common multiple of a and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/8 - 17*p**5\/60 - p**4\/24 + 23*p**2 - 1. Find the third derivative of q(h) wrt h.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 6*s + 5. Let t be h(-6). Solve t*z - 30 = -4*y, 4*y - 26 = 3*z - 6*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = -29*c - 20. Is 52\/(-130) - 25334\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p - 39. Let o be n(7). Put -11, -4, -3, o in decreasing order.\nAnswer: o, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1269)\/(-6)*(-8)\/(-12). Let v = 1271\/9 - y. What is the second smallest value in v, 0.7, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -7*c**4\/24 - c**3\/2 + 3*c**2. Find the first derivative of m(u) wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*(-5 + 3 + sqrt(17)) + -5 + sqrt(17) + -1 + 2)*-3)**2.\nAnswer: -3888*sqrt(17) + 24948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000792 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 7*c - 3*c)*(3 - 2 + 1)*(2 - 4 + 0) - c - c + 0*c + (3*c - 2*c + 0*c)*(-1 + 1 + 2) + 0*c + 2*c - 3*c.\nAnswer: 31*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 1\/20*h**5 - 3*h**2 + 0 + 1\/60*h**6 + 0*h + 0*h**4 + 0*h**3. Find the third derivative of l(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7*((-294)\/(-28))\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -16*p + 1740. Let m = 114 - p. What is the highest common divisor of m and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 >= -856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 - 11. Let x = -77 + z. Calculate the highest common divisor of x and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177822023?\nAnswer: 3, 7, 56086763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100379443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 9:25 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = -175 - 41. Let q be r\/36*(-9)\/(-24). What is the closest to q in 1, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 298*i - 327*i + 545*i - 63 - 13 wrt i.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19\/3 - -73\/12. Let s be (-1 + -3)*5\/(-4). Let r be (-14)\/35 + (-2)\/s. Which is the nearest to 1\/5? (a) r (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-27))\/(-1))\/(43 - 36848\/846)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.04153 weeks to nanoseconds.\nAnswer: 26636317344000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4016553*b**5 + 2*b**4 + 13886676*b**2?\nAnswer: -240993180*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 273, 268, 229, 138, -23, -272, -627?\n\"Answer: -3*k**3 + k**2 + 13*k + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000001000110100000 - -1000?\nAnswer: 11001000001000110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {l: 3, j: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/4)\/(7\/(-84)). Let f be 2\/9 - 56\/90. What is the nearest to 2 in -3\/4, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19778600 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4\/5 + 568*i**3\/5 + 4720*i**2 + 295112*i\/5 + 272076\/5 = 0. What is i?\nAnswer: -79, -41, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1689303ng to tonnes.\nAnswer: 0.0000000000000001689303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**3 - 16*q**2 + 11*q + 6. Let f(n) = 2*n**3 + 9*n**2 - 5*n - 3. Calculate -7*f(v) - 4*y(v).\nAnswer: 6*v**3 + v**2 - 9*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -237641280 divided by 16?\nAnswer: -14852580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 25*w - 11. Let n be p(5). Let g be (-1)\/(-2) + (-57)\/n. Solve g = 3*z - 9*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 31, 7, 8 in decreasing order.\nAnswer: 31, 8, 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(2\/11)))**(2\/101)\/((d\/d**(-7))\/(d*d**16*d)))**(-1\/10) assuming d is positive.\nAnswer: d**(-5557\/5555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -46 - 8. Let x = z - -23. What is the smallest value in 4, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 240\/132 - (-23 - -19)*2\/44. Let a be 0\/(-3)*(1 + 0). Solve s + m = -a*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -107*y**4\/24 + 121*y**3\/6 + 402*y**2. Differentiate h(v) with respect to v.\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24*g - 864 = 0. Suppose -1 = 2*y - 13. Suppose 5*c + g = y*c. What is the greatest common divisor of c and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.09, 260, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 3*b**2 - 3*b**2)*(-3*b + 0*b + 2*b) - 8*b**3 + 16*b**3 - 3*b**3 + 5*b - 5*b + b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 30, 49, 76, 117?\n\"Answer: i**3 - 5*i**2 + 25*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2 - 3. Solve -4*k**a - 13*k - 5*k + 18*k + 12*k**4 - 8*k**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56342948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 112*g**2 + 2778*g - 140. Calculate q(-74).\nAnswer: 2376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/10)\/(2\/(-64)). Suppose b*l - 276 = 12*l. Let p = 102 - l. What is the remainder when p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328470 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10830 and 2985.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/774 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose 3*c = -y + 76, 3*c - y + n*y - 74 = 0. Let p = -2741 + 2869. What is the remainder when p is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -2.6. Suppose c + 3*s + 2 = -0*c, -2*s - 3 = c. Let a = -37\/7 - c. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - l + 125 = 0, -2*w = -w + 4*l - 119. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6953*q*s**2 - 281*q + 385*s**2 + 4234 wrt q.\nAnswer: 6953*s**2 - 281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -1019*p**3\/3 - p**2 + 1494*p + 695. What is the first derivative of i(x) wrt x?\nAnswer: -2038*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003855 to five dps.\nAnswer: -0.00386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*((-8)\/(-22) - (-16632)\/(-9801)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (45 - 46) - 23.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10530741.0333 - 10531435. Let l = s + 694. Round l to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and 694.\nAnswer: 693.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -404?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-17)\/(-34)*(-19)\/(190\/(-1880))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51718 (base 9) to base 7\nAnswer: -201320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001100100 (base 2) in base 10?\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 + 680. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (0 + sqrt(704) + -4 - (sqrt(704) - (-2 + sqrt(704)*-1))) + 3.\nAnswer: -8*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -1. Let m = p + -35. Suppose 2 - 10 = 4*t. Sort 5, 4, t, m.\nAnswer: m, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.98 or 0.22?\nAnswer: -4.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 235, 335, 437, 541, 647, 755?\n\"Answer: q**2 + 97*q + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*l + 252*l**2 - 90*l - 183*l**2 wrt l?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 15*n - 24 - 156 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/7 + (-28)\/(-49)*5. Solve 3*v + 14 = -l, 8 - 1 = -2*v - r*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1 - 4 + 1 - w. Let v be s(0). Let z be (-9)\/(-6)*v\/(-3). Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 250*b**3\/9 - 110*b**2\/3 - 328*b\/9 - 8\/3 = 0.\nAnswer: -3\/5, -2\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 13*o - 16. Let g(l) be the first derivative of 0*l + 1\/2*l**2 + 126. Calculate n(g(c)).\nAnswer: 13*c - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -263, -280, -297, -314, -331?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 9*d - 504. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608, 5283, 18080, 43061, 84288, 145823, 231728?\nAnswer: 346065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 419*b - 24848. Determine s(59).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 = -4*j, 5*p - 4*j + 44 = 9*p. Let g be 4\/(p\/(-7 + 13)). Solve -2*b - g*z = 0, b - 5*z + 6 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 254313.\nAnswer: 254313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k - 2\/9*k**3 + 8\/9*k**2 + 0.\nAnswer: -2*k**2*(k - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 - 3*c**2 + 5*c - 3. Let v(s) = -14*s**3 - 8*s**2 + 15*s - 8. Let j be (3872\/(-847))\/((-24)\/42). Let n be 0 - 4\/(4\/3). Give j*w(m) + n*v(m).\nAnswer: 2*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 19*a + 17. Calculate u(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42642, 78704, 114766?\n\"Answer: 36062*z + 6580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 - 9*m + 15. Let n be v(2). Is 7\/6 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17562 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -74 + 37 + 6\/2. Let y(r) = -r**2 - 24*r + 339. Let s be y(o). Let n(h) = -h + 1. Let b(w) = 1 + w + 0 + 0. Give s*b(u) + 2*n(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Let h(x) = -80*x - 43. Let l be h(-1). Find the third derivative of -20*u + l*u - 14*u**o - 16*u**2 - 17*u wrt u.\nAnswer: -336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {x: 1, j: 1, d: 5, k: 7, u: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11462 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(200) + -1 + 5)**2 + 5.\nAnswer: 1280*sqrt(2) + 51221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16150378 to four dps.\nAnswer: -0.1615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224*c**3*u**3 + c**3*u**2 - 13*c**2*u**3 + c*u**3 + 11*c*u**2 - 162*u wrt u?\nAnswer: 1344*c**3 - 78*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21030 by 2.\nAnswer: -10515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*g - 65 + 65)*(-321*g**2 + 79*g**2 - 320*g**2) - 2*g**3 + 3 - 3 as h + r*g**2 + z*g + t*g**3 and give t.\nAnswer: 9552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11650 (base 11) to base 13.\nAnswer: 7819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/13*(-12)\/6.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54\/7*h**4 + 352\/7*h**3 + 608\/7 + 976\/7*h**2 + 1248\/7*h + 2\/7*h**5.\nAnswer: 2*(h + 2)**4*(h + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 90*f - 2774. What are the prime factors of c(-68)?\nAnswer: 2, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + (-7 - (-13 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000281086 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times -41884.13?\nAnswer: 1256523.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 55\/4 of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77746 and -12.\nAnswer: -932952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27.6 times 1\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 3) to base 16\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 255671 and 85410350.\nAnswer: 85666021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 8*i**2 + 4*i + 9. Let s be l(-6). Suppose -s*k = -58*k + 2. Solve 2*a = 2*u - 0 + 2, -2*a + k = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40182 divided by -20091\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*7\/(-10)*322\/1127?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 22 = 2. Let p(v) = -5*v**2 + 2*v - 8. Let r(a) = 9*a**2 - 4*a + 15. Determine t*r(u) + 11*p(u).\nAnswer: -u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((284\/(-26))\/(-1))\/84. Let r = g + 1\/42. Let j be (-4 - -1) + -11 + 14. Does r = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 34 - 61 = 0. Let r(t) = 38*t - 14. Let n be r(-5). Let h = -130 - n. What is the remainder when h is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, v: 3}. Give prob of picking 1 v and 3 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/4 + (-29)\/2 and -103\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1700) - -4*sqrt(1700)) + 4 + -3*(sqrt(1700) + 3)))**2.\nAnswer: -7200*sqrt(17) + 245700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 241292 and 157878.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 3)*(-3*w + 2*w - w + (-2 + 2 - 2)*(4*w + 5*w - 2*w)) as p + k*w and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -57*o + 5948. What is n(104)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*i*j**2*t**3 + 2*i*j**2 - 2*i*j*t**3 - 2*i*t**3 - j**2*t - 7*j*t**2 + 28*t**3 + 2*t wrt j?\nAnswer: 250*i*t**3 + 4*i - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + -11119803?\nAnswer: -11119803.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 11 = 7. Sort y, 0, 1 in decreasing order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13598, -27198, -40798, -54398, -67998?\nAnswer: -81598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1177.2 times -47\nAnswer: 55328.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/(19\/38)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4586979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 228*z**3 + z**2 - 129?\nAnswer: 684*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - h**3 + 2*h**3)*(3*h - 3*h + 2*h) + (0*h - 3*h + h)*(h**3 + 0*h**3 + h**3) + 2*h + h**4 - 2*h - h**4 + 2*h**4 + h**4.\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30842 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 5, o: 5, s: 1, z: 2}. Give prob of picking 2 z and 1 o.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*i - 5*q - 43, -3*q = -6. Let y = i + 39. Let o = -2 - -4. Solve -m = y*t + 20, 20 = 4*m - o*t - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 + -144. Suppose t + 5172 = 5*t. What are the prime factors of t\/12 + s\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 666977541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 46720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 17 (c) 5 (d) 2 (e) -9\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -58. Suppose 684 = 3*s + 4*o, 0 = -4*s - v*o + 331 + 591. Is 463\/2 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4202907 is divided by 1174.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 12624969?\nAnswer: 6\/4208323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1908.38 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3527.53*-9\nAnswer: 31747.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11 + (-124790)\/(-11220))\/(-3*(-4)\/12) and -145\/264?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -5)*(9\/(-2) + 4). Let q = z + 0. Suppose 3*h = -2*h + q*v + 10, -3*h + v = -7. Solve 4*w = -o - 16, 0*o + h = -w - 2*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 717, 711, 705, 699?\n\"Answer: -6*z + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 12. Calculate z(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8 + -4.7. What is the second smallest value in 5, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1458 = -d + 3*n + 1403, 0 = d + 5*n - 2861. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.07 + -15. Let i = h - -0.005. What is i rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 - 2*r**2 - r. Let k be y(-1). Let b(p) = -84 + 84 - k*p**2. Let m(d) = -5*d**2. Calculate b(m(x)).\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1. Let u(i) = -i - 7. Calculate 3*s(a) - u(a).\nAnswer: a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h**2 + 122*h**2 - 32*h**2 - 25*h**2 - 32*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -1 - (1 - -1). Suppose u + 5*j = 6*u + 45, -4*j + 1 = x*u. Let o = -0.1 + 5.1. Sort u, o, -0.3.\nAnswer: u, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2032 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, n: 7, d: 3}. Give prob of sequence nddy.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 37. Suppose 9*m - 63 = o. Calculate the remainder when 83 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -5\/3*b**3 + 6*b**2 + 0 - 5*b. Let c(k) = k - 1. Give -12*c(m) - s(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ffftttftffffffffffff?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (8 + (-12 - 2)) - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/12*10)\/(-1). Suppose p = 2*b - 9, b - 3*p - 21 = -2*b. Suppose i = b*i - 3. Calculate the greatest common factor of i and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2\/(-40))\/(((-473)\/(-44))\/(-43)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029 is divided by 337.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/13 (b) 53 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**5\/20 - 2*w**4\/3 + w**3 - 2*w**2 + 4*w. Let v(n) = -n**2 - 8*n - 8. Let u be v(-4). Is p(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:05 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83e2 (base 15) to base 12.\nAnswer: 1417b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -34\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46.3*-0.5.\nAnswer: -23.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (-27 + -34 + 25) - -33\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l = -152*l + 824 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 1, b: 2, r: 1, x: 1, o: 1}. What is prob of sequence bt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 11*p**2 + 10*p. Let b be v(-10). Let g be (-108)\/(-14) + (-12)\/(-42). Solve 3*h - g*h = b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - m - 3. What is w(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 468 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qquqqpqvcqqquauqvqq. Give prob of picking 1 c and 1 q.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*w - 88 - 120 = 0, 0 = -2*y + 3*w + 99. Let d be ((-5)\/6 - -1)*228\/y. Find l such that -7\/3*l**2 + 3*l**3 + d*l + 0 - 5\/3*l**4 + 1\/3*l**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-210)\/(-1904))*(0 - 24\/32).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -40\/21, -1, -5, -11 in decreasing order.\nAnswer: 5, -1, -40\/21, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -54907 * -16.13\nAnswer: 885649.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-1)\/5*(-18 - -33). Suppose 2*q = 7*q - 3*p - l, 3*q + 5*p = 14. Let y(a) = a**2 + 12*a + 14. Let z be y(-11). Solve z = q*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a milligram in micrograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 6)\/1 - 2. Suppose x*y = y. Suppose -5*b - 5*m + 35 = y, 5*b - 2*m - 7 = -0*m. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 217495980\/11 or 19772363?\nAnswer: 19772363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*172\nAnswer: 20.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2 + 10749432*y + 96744726 = 0.\nAnswer: -5374707, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w - 6. Suppose 22 = -3*r + 4. Let s(j) = 23*j + 13. Let c = 4629 + -4642. What is c*m(p) + r*s(p)?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 905\/34 + -107\/4. Calculate the common denominator of 145\/102 and v.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 87 = 19*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224312 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-3*a**2 + 0*a**2 + 2*a**2) - a + a + a**2 + 4*a**2 - a**2 - 2*a**2 + 0*a**2 - a**2 - 4*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -20, -34, -52, -74?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 618.3*-4\nAnswer: -2473.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 3. Let n be t(-4). Let f = n + 1. Suppose -3*c = -2*o + 14, -10 = -f*o + 2*c - c. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/7 + 1985*n**4\/7 - 200323*n**3\/7 + 2160847*n**2\/7 - 502256*n - 2472764 = 0. What is n?\nAnswer: -2, 7, 94, 1879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 23 - 3*s + 22 - 49.\nAnswer: -3*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5, -2*d + 5*q = 3*q + 18. What is the units digit of (11\/d)\/(4\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1159, -7, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*u - 25. What is the remainder when (3\/2)\/(24\/1376) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2548168, 2548167, 2548166, 2548165, 2548164, 2548163?\n\"Answer: -y + 2548169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 493731983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040111 to the power of 1\/2, to the nearest integer?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1138e3 - 3?\nAnswer: -1138e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19843 + 19842.4. What is the closest to z in 2\/9, -4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/(-18))\/((-3)\/(-4)). Suppose -h*g - 8 = 0, 27 = 4*f + g - 9. Let m(l) = f*l + 18 - 18. Let r(x) = 2*x. Give r(m(z)).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -6. Suppose -5*l = y + u + 20, -3 = -3*y. Put 3, 5, l in descending order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13032315052 + 2?\nAnswer: 13032315054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 3*h + 13 = 0, -5*h = 4*m - 25. Let r = m - 2. Suppose c - 22 = -r. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.465273km in centimeters?\nAnswer: 546527.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 806, 1930, 3370, 5126?\n\"Answer: 158*f**2 + 650*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**4\/96 + l**3\/16 - l**2\/8 + 52*l - 29. Let h(k) be the first derivative of g(k). Factor h(z).\nAnswer: -(z - 2)*(z - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - -49.6.\nAnswer: 49.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -60 + (63 - 42) + (-4 + 1 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503984 is divided by 125329?\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 15. Let r(t) = t**2 - 5*t + 8. Let b = -69 - -108. Calculate the remainder when b is divided by r(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -39*g**4\/8 - 6033*g**3\/8 - 67437*g**2\/4 + 688344*g - 210180 = 0.\nAnswer: -113, -62, 4\/13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173626222 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyyqyqqqqqqyyqqyqq. Give prob of sequence qyq.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49742679 and 108003?\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2. Let b be x(-1). What is the third derivative of -4*y**4 - 2*y**4 + 6*y**2 - b*y**4 wrt y?\nAnswer: -216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3.99. Let p = o - -0.01. Let u = 3 + -2.9. Which is the closest to 0? (a) -3 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1092 - -1100. Let j = 0.157 + -0.557. What is the closest to 1\/2 in 2\/11, j, x, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/160)\/((-2)\/4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -1149.\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -2) + 15 - -179. Solve -3 = -196*w + h*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - n - 2*n + (-n + 6*n - 3*n)*(-4 + 3 - 1) + n + 4 - 4 + (-5*n + 3*n + n)*(13 + 13 - 3) as r + z*n and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 325, 392, 439, 460, 449, 400, 307?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -278 - -288. Suppose 0 = m*s - 25*s + 180. Solve 4*z + 10 = 3*h - s, -18 = 3*z - 3*h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 2*d**7\/105 - d**4\/3 + 4*d**2. Find the second derivative of l(j) wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:53 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 + 3304\/19. Let p = 10.5 - 11. What is the second biggest value in p, q, 2\/23?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 9. Let j be 2*(-33)\/(-18)*r. Let w(b) = -b**3 + 10*b**2 + 12*b + 4. What is the remainder when 27 is divided by w(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 31*c**2 - 61*c - 72. Calculate a(-29).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 493*z**3 + 489*z**3 - 983*z**3 + 352*z + 3 in the form c + r*z**3 + f*z**2 + v*z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*b**3 - 16*b**3 + 53*b**3)*(-37 + 269 + 276 - 66 - 22 + 156) as f + n*b**2 + y*b**3 + i*b and give y.\nAnswer: 10944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:04 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1273 - 898. Let b = -391.20948 + 16.24568. Let f = b + n. What is f rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2670 + 4447*r + 5335 - 2665.\nAnswer: 4447*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-33) + (-4)\/(-22). Suppose r = 5*a - 18 - 107. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -3 - ((-14)\/245 - (-1211)\/(-245)) - -14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:01 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 2491.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)\/g*g)**(1\/44)\/(g\/g**(-8)*g*g*g*g\/(g\/g**(1\/8))))\/((g**(-1\/2))**(-2\/87)*((g**0\/g*g)\/g)**(-6\/7)) assuming g is positive.\nAnswer: g**(-231983\/17864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 w, and 1 v when four letters picked without replacement from vvxpvww?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195837 is divided by 89?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 25\/6*d**3 + 0*d**2 + 17*d + 3. Let i(s) = s**2. Give y(i(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 572 = 4*d, -12*u + 292 = 2*d - 8*u. What is the remainder when d is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6716.9228 to the nearest ten.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -57*g**3 + g**2 - 16*g - 18. Suppose -3*h = -0*h - 147. What is the lowest common multiple of i(-1) and h?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17603851, -35207700, -52811549, -70415398, -88019247, -105623096?\n\"Answer: -17603849*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f - 15. Give n(-8).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4758 + -35?\nAnswer: 4723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -1 (c) -0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.35213l to millilitres.\nAnswer: 47352.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*s = -15, -316*y - s = -312*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040 divided by 80?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6179981269.\nAnswer: 7, 11, 79, 997, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 973 - 173189\/178. Let s = -9943\/890 - x. Find the common denominator of ((-74)\/10)\/((-4)\/(-2)) and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, v: 14}. Give prob of picking 3 v.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 88 - 136*m - 88 + 137*m. Let i(h) = 4436*h. Calculate q(i(z)).\nAnswer: 4436*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**5\/20 + 7*c**4\/12 - 7*c**3\/6 + 13*c**2\/2 + 65*c. What is the remainder when 24 is divided by k(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 2796?\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3801*z**2 + 452*z**2 - 2087*z**2. Let i(n) = -2*n. Give i(p(q)).\nAnswer: 10872*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18702 + 18702 - 28*k**2.\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 243 and -431.\nAnswer: -104733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7764544 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.06*0.34.\nAnswer: 0.3604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5, -0.05, 0, 3\/7, -17, 0.3, -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2772854*f**4 + 8*f + 126252 wrt f?\nAnswer: 33274248*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24247 < 24248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5651 - -5659.586. Let u = s + -11.63. Let t = u + 0.044. What is the biggest value in 1, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 11*o - 42. Let l be n(14). Let s be (-1 - l) + (-136)\/(-17). Solve 5*i - s - 13 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + -5 - (sqrt(19) + sqrt(95)\/sqrt(5)*6).\nAnswer: -3*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 67 = -5*l, -2*w - 10 = 3*w. Solve l = -5*s, 0 = 4*n - 7*n + 3*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -69502, -67677, -64634, -60373, -54894, -48197, -40282?\n\"Answer: 609*t**2 - 2*t - 70109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 4080414?\nAnswer: 20402070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (116\/6)\/((-3)\/27*-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by (-3)\/(-4) - 106\/(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23400 and 500?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3718\/5 + 744. Let s = -1 + -9. Let x = -16 - s. Which is the closest to 2? (a) 0 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*u**4 + 128*j**2*u**3*w + 18*j**2 + 2*j*w + 4*u wrt u?\nAnswer: 12*j**2*u**2 + 768*j**2*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.8 + -35.8. Let f = -2.2 + -0.8. Let g be 4 + 4\/(12\/(-27)). Which is the nearest to 1? (a) f (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 - 143. Solve -n + 10 = -5*d, 3*d + w*n + 6 = -2*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 41 = -13. Put -1\/3, x, 3\/2 in increasing order.\nAnswer: x, -1\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, t: 2, p: 4}. What is prob of sequence ooop?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -11)\/((-8)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 97136641011 and 4.\nAnswer: 97136641015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1346, 2591, 3824, 5039, 6230?\n\"Answer: -q**3 + 1252*q + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 6*n**2 + 2*n - 3. Let h be r(-5). What is the highest common factor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -9) + (4 - 0). Suppose o = -5*s - 18 + 38. Let a be ((-8)\/(-3))\/((-4)\/(-6)). Solve 0 = 5*y - a*y - 4, -s*y = -4*g - 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32274*n - 32335*n - 183 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55157 is divided by 27571?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - y + 136 = -l, -4*y + 54 = 2*l. Calculate the remainder when l is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/111 (b) -2\/13 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 336 - 136. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*l + 2*l + 112, -148 = -3*l - 4*j. Suppose 2*b = 3*p + l, 2*b = -3*p - 19 - 13. Sort 2, p, -4 in ascending order.\nAnswer: p, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -11. Let f be 2\/(a - -2)*0. Is (-1)\/(-2)*(f - -12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - 26. Suppose -4*t - 5 = 3*f - 4, 3*t + f = -7. Let n = t - m. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, 14\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from wbhebbw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -8063.\nAnswer: -8068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 8. Suppose 0 = 102*m - 108*m - 72. Let i be 6 + m\/((-4)\/(-2)). Solve i*c + n*c - 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 604260.\nAnswer: 604260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 9*y + 12*y)*(24 - 65 + 9) as h*y + o and give h.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -539\/4. Let t = -0.41 - -0.01. Which is the second biggest value? (a) t (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43338769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -50463 divided by -3\nAnswer: 16821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -13. Suppose 1 - i = o + d, -2*o - 4*d = 12. What is the smallest common multiple of (-1)\/(-3) - 105\/(-9) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.409759 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/40 and (2090\/(-528))\/(1\/3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*j**4 - 3018*j**3 - 4395*j**2 + 143*j.\nAnswer: -432*j - 18108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1341*w**2 - w. Let d(x) = 334*x**2 - 700*x**2 + 364*x**2. Determine t(d(o)).\nAnswer: -5364*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -425 at least -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 29. Suppose a = -4*x + 9*x. Solve -x*m + 11 = -3*v, -2 = -4*v + 3*m - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-47))\/r)\/r)\/(r\/((r*r**(-41))\/r)))**31 assuming r is positive.\nAnswer: r**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -104.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17277150?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/24 + 5*r**3\/3 + 6*r**2. Let d be l(-10). Suppose 4*z - 26 - 42 = d. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/4435 and 109\/16860.\nAnswer: 14954820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z - 15 - 51*z + 20 - 29*z + 86*z.\nAnswer: -21*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.7 + -6. What is the closest to -0.1 in b, -5, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3644 = 6*v + 26. Let d = v - 420. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/5 - -9\/10. Suppose 2*f = 1 + 3. Factor p - k - 1\/2*p**f.\nAnswer: -(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 - 184 = -4*k. Suppose -b = 9*b - 80. Calculate the remainder when k is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 11. Let b(s) = -s. Let v(u) = 5*u - 32. Let z(n) = y*b(n) - v(n). Calculate the remainder when z(13) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3501\nAnswer: 1050.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 o, and 1 h when four letters picked without replacement from {u: 1, o: 2, h: 3, k: 6, d: 1, m: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.309719 rounded to two dps?\nAnswer: 7.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 8*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 613 = 4*l - 107, 4*r + 8 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-15) + 222\/(-10). Let r = 143 + -66. Does 3 divide 602\/r + (-4)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = z, -5*z - 2 = 2*g - g. Suppose 5*d - 10*d + 315 = 0. Let t be (-2)\/(-9) + (-14)\/d. Solve t = -5*b - z*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t + 3016095 = 17243372. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5641 + -2.56298046. What is z rounded to 5 decimal places?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (26 - (6 - 22))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/7)\/p)\/p*p)**(-33))**(2\/19)\/((p**1)**39)**(6\/7) assuming p is positive.\nAnswer: p**(-3852\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55, -261, -605, -1081, -1683, -2405?\n\"Answer: m**3 - 75*m**2 + 12*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -135588006 divided by 18?\nAnswer: -7532667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**6\/3 + 10*s**5 + 45*s**4 + 260*s**3\/3 + 85*s**2 + 42*s - 146. Factor i(w).\nAnswer: 2*(w + 1)**4*(w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 6:54 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 16*c + 134. What is i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000150756 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(19\/(-5) + 4). Let c = -149.7 + 27.4. Let o = -122 - c. Sort 2\/7, m, 0.1, o in increasing order.\nAnswer: 0.1, m, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**11)\/g*g*(g*g**7)\/g)**(-25))**(2\/19))**(4\/25) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.3 + 19. Let n = 9.6 - 9.9. Let w = 2.7 - n. Which is the smallest value? (a) w (b) -7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddduddudddddddddd.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*r - 2*v - 23, 5*r + 5*v + 45 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 502.0562 micrometers?\nAnswer: 0.0005020562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 p when three letters picked without replacement from {f: 11, p: 7, t: 1}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 6 - 7) + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)\/((-9)\/1278). Let f = 137 + p. Let d be (0 + (-2)\/6)*(-5 - f). Solve d = 4*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 11*g + 23. Determine k(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - b - 30. Suppose 5*l + b = -5*m - 14, -2*m - l = 4. Suppose -4*k - 3*t = -11, -k + 3*t = 4*k - 34. Put -4, m, k in descending order.\nAnswer: k, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rllhrrlllrlllh. What is prob of sequence hrll?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, d: 3, h: 9, c: 1}. What is prob of sequence ghhh?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 = -10. Suppose s*n = 15, -n + 13 = -3*w + 182. Is w a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-20))\/((-4)\/(-10)). Suppose 24 = v + i*z, 3*v + 3*z = 5*v - 13. Calculate the highest common divisor of 56 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**0*m))**37*m**6\/(m\/((m**10*m)\/m)*m) assuming m is positive.\nAnswer: m**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892 a factor of 212492592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39339 is divided by 354.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -19, 245, 5 in decreasing order.\nAnswer: 245, 5, 1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 257841691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 11*l - 5. Let a be v(14). Suppose a = 2*x - 5*w - 6, -3*w = 3. Solve 5*i = -3*t - x, -7*i + 2*i + 3*t - 31 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1539))*-6 + sqrt(1539) + sqrt(1539) - sqrt(1539))**2.\nAnswer: 2160*sqrt(19) + 39051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10319 (base 10) to base 12.\nAnswer: -5b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5635707 by -6.\nAnswer: 1878569\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/182)\/(((-1)\/(-6))\/(18\/(-27)))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1206 and 2010.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 20*a + 46. Let g(m) = -163*m**2. Calculate p(g(h)).\nAnswer: 26569*h**4 - 3260*h**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87391 - 87391 - 7*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(91) - -3*sqrt(91)) + sqrt(91))*-5)\/((sqrt(84)*4*3)\/sqrt(12)).\nAnswer: -25*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(1584)) + (-2*sqrt(1584) + sqrt(1584))*5)**2 + -2*(((1 + sqrt(44) + 3)**2 - sqrt(44)) + -5).\nAnswer: -28*sqrt(11) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92253\/20 or -4613?\nAnswer: -4613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 6*a = -20. Let r = a + -43. Let j = 235 - r. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7029 - -2298485\/327. Let t = x + 72\/109. What is the second smallest value in 2, 1\/7, -1\/31, t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*c - 1633 = -189*c - 186*c - 8863 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 51 + 168 = 0. Let j = -26 - -36. Suppose j*p + 28 = 14*p. Calculate the least common multiple of p and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/121 + 367\/484. What is the nearest to -1 in y, 9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 70030954?\nAnswer: 770340494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 94.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -w - 4, -1 - 1 = -2*f. Let m be (-3 - -2)*1*(w + -1). Suppose 5*u - 14 = -4*v, -5*v = 2*u - m*v - 6. Solve -4*z + u = 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j - j + 0*j)*(0*j + 0*j + 2*j) + (-2*j**2 - 2*j**2 + 2*j**2)*(-5 - 1 + 2))*(-1 + j + 1).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - p = 3, -22 + 31 = 3*q + p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 123*z + 40. Calculate the remainder when h(-80) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/2 - 39*c + 84 = 0. What is c?\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16451 = 14*p - 8483. Let f = 4466 + p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by -1*(-3)\/(6\/86).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 + 2*c**5 - 2*c**5 + (3*c - 2*c - 2*c)*(c**4 + 3*c**4 - 6*c**4).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010138 rounded to 5 decimal places?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1001100000010011101?\nAnswer: 1001100000010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 9 = -23 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3119236, 3119243, 3119254, 3119269, 3119288, 3119311?\n\"Answer: 2*v**2 + v + 3119233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 36 = -4*q, -5*q + 4*z + z + 60 = 0. Let f(a) = 3*a**2 - 2*a - 2. Let m be f(2). Find the second derivative of -q*i - i**2 - m*i + 8*i wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5225 divided by 95.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*u - 3 = 4*o - 791*u, 3*o - u = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-3 + 2) - (1153 + -1138).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50*(4\/(-14) - (-50)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133*l - 674*l + 963*l.\nAnswer: 3422*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*j + 1 - 578*j + 217*j + 199*j.\nAnswer: 106*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -4 + -7 + -159. Find the common denominator of (-12)\/k*(76 - 1) and ((-34)\/12)\/(10\/6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2889572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/9 + 91748*l**4\/9 - 397666*l**3\/3 + 2936728*l**2\/9 - 1835480*l\/9 = 0.\nAnswer: -45887, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2440000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = g. Solve 5*o + 0*o + 5 = 3*s, -3*o - 2*s - 22 = g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 5*s**2 + 20. Let l be k(-4). What is the closest to -15 in l, -0.1, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 11) in base 8?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i - i. Suppose -10*d + 9*d + 315 = i. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (-18 - 3) + 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 28769552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + d - 67 + 54 = 0, 0 = -3*v - d + 47. Solve -3*b - v = 5*h - 6*h, -2 = -h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 divided by -3?\nAnswer: -293\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -767*k + 2 - 4 + k**4 + 766*k - k**3 to u*k**4 + f*k + n*k**3 + y + b*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6328 and 43848.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 317 - 312. Solve 0 = k*n - 14 - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92e - 422a?\nAnswer: -38fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924779.2m to kilometers.\nAnswer: 924.7792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 647, 2659, 6129, 11153, 17827, 26247, 36509?\n\"Answer: 16*y**3 + 633*y**2 + y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 6*i**2 + 12*i + 1. What is the lowest common multiple of 36 and n(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*u + 52, -2*u - 3*b = -7*b - 26. Find the third derivative of -u*q**4 + 7*q**2 + 15*q**2 - 21*q**2 + 7*q**2 wrt q.\nAnswer: -312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 12*q = -440. Let i = q + 90. Suppose 0 = -4*y - 20, 4*y + 121 - 31 = i*j. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*m - 27, -12953 = 5*o + 11*m - 13050 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24459110 is divided by 920.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2\/(-11) - ((-12546)\/33)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (5 - 2 - (52 - 47)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 13. Let p(z) = -16 + 4*z + z**2 - 13 + 48 - 15. List the prime factors of p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/20 - (-33)\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1260 = 5*v. Suppose -5*y + v = -5*c, -y + 11 = -2*c - 21. Let h = -38 + y. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 11*y + 13. Let i(h) = -h**3 + 5*h - 6. Let p(b) = b - 3. Let x be p(16). Calculate x*i(j) + 6*d(j).\nAnswer: -j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 5. Let v be 10\/3*12\/10. Let w be ((-3)\/(-6))\/1*8. Let c be 18\/w + v\/8. Determine u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1815) - (sqrt(1815)*-1 - sqrt(1815))) + sqrt(1815))\/(sqrt(3)*-1*-2).\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10316 divided by 2?\nAnswer: -5158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(40)\/sqrt(16) - sqrt(10)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3565470 divided by -6.\nAnswer: -594245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 1.681, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4) - -1)*36\/(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7566*w - 1. Let t(h) = 7592*h + 1. Give 4*b(j) + 3*t(j).\nAnswer: -7488*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*r + 37*r + i - 24, 56 = 3*r - i. Solve -10*y = -4*y - 3*x + 24, 5*y + r = 3*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {r: 5, p: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2691746 and 2691746 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (3 - -1 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2 + 2*g + 47. Is 26 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 1142558.3?\nAnswer: 1142556.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x - 170 = -3*p, -119 = -2*p + 5*x. Suppose -5*j + 4*u = -47, -5*j + 3*u + p = 4*u. Solve 4*g = 1 + j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 2*l - 7. Calculate the lowest common multiple of c(-5) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 3, -2\/3, -10?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144\/5 + 3\/5*c**2 + 57\/5*c.\nAnswer: 3*(c + 3)*(c + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 28*c**3\/3 - 163. Let u(b) = -3*b**2. What is u(q(r))?\nAnswer: -2352*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2850 divided by 95\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5 (b) 6 (c) 4 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -122*m**2 + 2 + 134*m**3 - 4 + 124*m**2. Is c(1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/24 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -32*n - 770. Let i be f(-24). Suppose 0*u - u - 16 = -3*l, 4*l + 4*u = 32. Suppose x = 3*x + 2, -5*v - 4*x = -l. Sort -5, 0, i, v.\nAnswer: -5, i, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * 163131.\nAnswer: 505706.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 1 + y + 6*y - y. Let l be m(1). Let i(o) = -o**3 + 7*o**2 + 3. Let w be i(l). Solve -6 = w*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121\/3 + 41. Let k(m) = m**3 - 6*m**2 + 7*m - 6. Let j be k(5). Which is the third smallest value? (a) -2\/5 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222023 (base 4) in base 13?\nAnswer: 12c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1030 + -843. Suppose -l + w = 184. What is the smallest common multiple of l and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*g - c + 26, -44 = -5*g + 3*c. Let a be (-20)\/8*(-8)\/10. Suppose h - a*h = -4. Calculate the remainder when g is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let s(b) = b**3 - 10*b**2 + 15*b + 5. Let o be s(8). What is i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 10*f + 60. Let n(l) be the second derivative of -l**3\/6 - 2*l**2 + 8*l. Let z(v) = -2*v - 7. Calculate f*n(x) + 6*z(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + t = 50, 4*u = -2*t + 60 + 10. Let a = 32 - u. Suppose -a = 4*j - 157. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004126812394 to seven decimal places.\nAnswer: -0.0000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 645 by -129.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 14442*h**4\/5 - 1797722*h**3\/5 + 56372356*h**2\/5 - 26573944*h\/5 - 107632\/5 = 0?\nAnswer: -1\/249, 14\/29, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 1 - 1 - 4*m. Let h(u) = u**2 - 18. Give h(p(n)).\nAnswer: 4*n**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25*1906\/(-3812)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3990 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 2*u**3 - 8*u**2.\nAnswer: u**2*(u - 4)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i**2. Let d(j) be the first derivative of 20*j**3\/3 + 394. Give d(z(r)).\nAnswer: 2880*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126920 rounded to the nearest 1000?\nAnswer: 127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212453 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, e: 7}. Give prob of picking 3 e.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-669*c**2 + 298*c - 597*c + 299*c)*(-3*c + 7*c - 3*c) to the form o*c + s + v*c**2 + n*c**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**3 - 2*y**2 + 4*y + 1. Let t(p) = -13*p**3 + 5*p**2 - 12*p - 3. Let g(r) = -8*m(r) - 3*t(r). Determine g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/48)\/((-18)\/(-10)*65\/39)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y. Let b(j) = 2*j**3 + 4*j**2 + 2*j. Let n(u) = -b(u) - 4*l(u). List the prime factors of n(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*10.47.\nAnswer: -1.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 10*y**3 - 21*y**3 - 2*y**3.\nAnswer: -39*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -115, -126, -145, -172, -207?\n\"Answer: -4*q**2 + q - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-25) - 176\/(-22)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6360 - 2754 = -93*d. Calculate the lowest common multiple of 196 and d.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245486.\nAnswer: 2, 122743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let p(a) = 2*a**2 + 7*a + 2. Let b be p(-3). Let d be (-5)\/(-3)*(4 + b - 4). What is the nearest to m in -1, d, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887862 is divided by 52408?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 4*g**2 - 3*g - 2. Let r be k(-4). Suppose -y - y + r = 0. What is the second derivative of -7*x**2 - 3*x + 2*x**y + 7*x**2 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**2)**(-18\/5)*g*(g\/g**(-2\/9))\/g*g**1 assuming g is positive.\nAnswer: g**(-548\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1180143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12214 - -625?\nAnswer: 13142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a46 (base 16) to base 11.\nAnswer: -10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4798, -19246, -43498, -77692, -121966?\nAnswer: -176458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -52486.\nAnswer: 734804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.07 - 4. Let r = b - 3.07. Suppose -y = -3*k - 4 + 2, 0 = -5*k - 4*y - 9. What is the nearest to 2 in 0.5, r, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 104 = -16*r + 10*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13033 - -13033.3. What is the biggest value in 22, g, -0.088?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(7 - 3)\/4. Let h be n\/2*(-20)\/10. Solve l - 1 = h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w - 11. Let m be n(1). Calculate the least common multiple of -14*1\/(-4) + (-2)\/m and 3\/(6\/4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1233.99 - 1229. Let u = n - -0.01. Let q = 2 - 2.1. Put u, q, 2\/9 in ascending order.\nAnswer: q, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 534.577 hours?\nAnswer: 1924477200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/413*(-3)\/(-2)*(-1)\/3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 6*t**2 + 6*t - 11. Let m be g(-7). Calculate the remainder when 69 is divided by (-55)\/m + 17\/68.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 115357567 and 115357566 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 9*j + 120. Let n be y(25). List the prime factors of 80\/n + (-23968)\/(-26).\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415273891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192 + 220.7. Let y = 16.8 + k. What is y rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376*j + 218970 = 115770 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3161775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*a**3 - 218*a + 86*a + 132*a - 52*a**2 + 52*a**2.\nAnswer: 78*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, and 1 v when three letters picked without replacement from {f: 2, d: 4, t: 2, l: 5, v: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -157 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/3)\/i))**(-1\/4)*(i**(2\/3))**(-3\/2))\/((((i\/(i**(-1\/3)*i))\/i)\/i)**(-2\/129)*(i**(-1)*i*i)**9) assuming i is positive.\nAnswer: i**(-16165\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 - 2*z + 6. Let v(t) = 56*t - 789. Let b be v(14). Let f(i) = 4*i**2 + 3*i - 5. Determine b*o(y) - 6*f(y).\nAnswer: y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let f(b) = b**2 - 18*b + 7. Let d(q) = f(q) + 4*p(q). Let n be d(15). Solve -4*k = -5*o - 4 - 2, -4*k + n = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13\/4, 5, 0.1, 5\/3 in descending order.\nAnswer: 5, 3, 5\/3, 0.1, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/4))**(10\/7)*(((k\/(k**3\/k))\/k)\/k*k*k)\/((k*((k*k**(-2\/17))\/k)\/k)\/k*k*k))\/(k**(1\/2)*k**(2\/5)*(k\/k**(-1\/4))**37) assuming k is positive.\nAnswer: k**(-112447\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c5b0fb1 - 4?\nAnswer: -c5b0fb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281526, 563048, 844570?\nAnswer: 1126092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58731878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2. Let l(q) = -3774*q - 4. Give l(o(t)).\nAnswer: 11322*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = j + j - l, 3*j - 114 = 3*l. Let h be (j\/30)\/((-4)\/(-3)). Let m be 1 - 2*1\/22. Which is greater: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 6*h**2 + h - 1. Let n(l) = l + 6. Let m be n(0). Let p be k(m). Suppose -2*d + p*d = 33. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 8*i + i)*(i**4 + 84*i**3 - 592*i**3 - 3*i**4).\nAnswer: -6*i**5 - 1524*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -2\/3*m**3 + 1\/12*m**4 + 7\/2*m**2 + m + 0. What is the tens digit of a(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 1, a: 1, g: 2}. What is prob of picking 2 m and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17448 and 18867831?\nAnswer: 150942648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 403.881 milligrams?\nAnswer: 0.000403881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -52328.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 6:35 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1012340120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-20)\/16)*(-8)\/18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18240089723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6)**27\/((n*(n*(n*n**(2\/23)*n)\/n*n)\/n)\/(n*n\/(n\/(n*n**(-15)))*n)) assuming n is positive.\nAnswer: n**(3379\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2814 = 3*t - 2867, 3*d = -2*t + 40 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6031.1156 - 3?\nAnswer: -6034.1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-10))\/(108\/20 - 5) + 1. Put -18, -3, v, 17 in increasing order.\nAnswer: -18, -3, v, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + h - 4. Let x(q) = 1 - 3*q**2 - q**2 + 3. Let p(t) = 5*d(t) + 4*x(t). Let a be p(4). Solve a = r - 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-28) + (-4)\/16. Which is the closest to 5? (a) -0.2 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 1\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**3\/3 - 11*t**2\/3 + 13*t - 15 = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + i. Let j(w) = 39*w**3 + 7*w**2 - 19*w - 15. Let x(a) = -2*g(a) + j(a). Let n be x(-15). What is n rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y + 63. Let h be (-14)\/y + 86\/18. List the prime factors of ((-66)\/h)\/(1*4\/(-10)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 252 + -240. Solve 3*l + t = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -97. Let m = 53 + d. Calculate the smallest common multiple of (-2)\/(-9) + 122\/m and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*p = -7323, 6*m - 36583 = m + 4*p. Does 15 divide (2\/4)\/1 - m\/(-70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 2*t + 5. Let w(b) = -1. Let v(m) = 7*m**2 + 4*m + 6. Let y(a) = -v(a) + 5*w(a). What is -13*u(q) - 6*y(q)?\nAnswer: 3*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 822, -3, 3.\nAnswer: -3, 3, 822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1133 and 6592?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13759340221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 12) to base 14.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1452752 and 49147?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = -0*k. Suppose 30 = k*f - 0*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*-1)\/((-543)\/4887*(-6)\/(-1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 - 1) - 3 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 6 + 1 - 1 + 4.\nAnswer: 2*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g + 16. Let u(a) = 6*a**2 - 26*a - 81. What is -11*m(r) - 2*u(r)?\nAnswer: -r**2 - 3*r - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92581421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.424 + -1.424. Let w = -0.05 + 0.35. Let s = w + -0.31. Do t and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/20875001 and -2\/44732145?\nAnswer: 313125015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17783 - 17708. Solve -m*h = -51*h + 168 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 222 = -q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41248 by -10312.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 105*f**2 + 61*f - 4622. Determine b(-104).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 10*b**2 - 64060*b - 576432. Calculate a(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21.686 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 1435*s + 1435*s.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 13. Let l(j) = 1 + 3*j - 2*j**2 + j**3 - 2*j**3 + 0*j**3. What is the units digit of l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (68 + -786)*(0 + -1) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435.89 - 2242.\nAnswer: -1806.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.301 to 1 decimal place.\nAnswer: -75.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 3. Let v be d(-3). Let o be (0 + 1)*1*40. Suppose -4*a + o = -4*i, -2*a - v*i - 2*i - 15 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-5)*(-5)\/(-10)*-5. Let s(a) = 11*a + 5. Let g(m) = -56*m - 26. Let j(x) = t*g(x) + 33*s(x). Find the first derivative of j(v) wrt v.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1376*g + 8467. Give f(-6).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*c + 8 = -49, -2*z + 5*c = -21. Sort -4, z, 1, 0 in ascending order.\nAnswer: -4, 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21 - 21)\/((-4)\/2 - -3). Which is the nearest to o? (a) 10 (b) 0.3 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332335?\nAnswer: 5, 66467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -2363*j**5\/20 - 166*j**2 - 301*j - 1. Find the first derivative of g(a) wrt a.\nAnswer: -7089*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/180 + 5*a**4\/54 + 26*a**3\/27 + 28*a**2\/9 - a + 206. Factor j(f).\nAnswer: -(f - 14)*(f + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 + -2.9. Which is the biggest value? (a) p (b) 5 (c) 0.1 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -3*b - 312. What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -27156*x + 12. What is i(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 32483, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n - 1900 = 0. Suppose 4*u + n = 2*f + 2*f, 0 = 4*u - 4. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 > 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0.243, 0.3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*j - 22*j - l - 510, l = 4*j - 2043. Calculate the remainder when j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/136 and 56\/85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.932605ml in litres?\nAnswer: 0.001932605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -146*k - 5988. Calculate z(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4732591.000115 - 4732606. Let p = r + 15. What is p rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02861 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1100 - -26401\/24. Let r(z) be the third derivative of 4*z**2 + 1\/18*z**3 - 1\/360*z**6 - k*z**4 + 0*z + 1\/60*z**5 + 0. Factor r(t).\nAnswer: -(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 676\/136)*-4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*j**4 + 31*j**3 + 2*j**2 + 6258*j wrt j.\nAnswer: -96*j**2 + 186*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + -55 - (0 - -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 424.554254 and 5.\nAnswer: 2122.77127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 252 - 161. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**4 - 1296*z**3 + 3940*z**2 + 5184*z - 15696 = 0?\nAnswer: -327, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27957*w + 7 + 56047*w + 0*w**2 - w**2 - 28032*w.\nAnswer: -w**2 + 58*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 g when three letters picked without replacement from hkjghjmjj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -882915 times 0.1?\nAnswer: -88291.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8562, -17128, -25694, -34260, -42826?\n\"Answer: -8566*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3 = 0, 1894*h + 13 = 1890*h - c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33\/(-4))\/((-24)\/64). Suppose -5*w - 3*s + h = -s, -2*s = -2. Solve -2*n + n + 7 = t, -w*n + 2*t + 4 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5*q - 7. Let y be (-2)\/1 + (q - 5). Let l be (3\/4 - y)*8. Let c(z) = -z**2 + 6*z + 1. Calculate c(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-4))\/((-4)\/8). Let g = -41.944 - 0.056. Let t = -41 - g. Put p, t, -0.08 in increasing order.\nAnswer: p, -0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 46. What is the highest common factor of 198 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75385 at least as big as -75384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -116. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 4594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - c - 8 = 0, 0*v + c + 11 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 1 - sqrt(1900)) + 2 + sqrt(1900))**2 + -2 + 1 + (sqrt(57)\/sqrt(3) - sqrt(19)) - (sqrt(38)\/(sqrt(72)\/sqrt(4)) - (-1 + sqrt(2299))*6)**2.\nAnswer: -720523\/9 + 848*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 16763*l + 117273. Determine w(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:04 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, -0.2, -2\/7, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/7 + 61335\/(-609) + (4 - (1 - -4))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 - (-1 + -1). Let x be (-3 - 47\/(-15)) + (-64)\/600*-10. Determine j, given that 21\/5*j**k - 27\/5*j + x = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -8. Let n = 12.8 - 13. Let x = n - -1.2. What is the third biggest value in v, x, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 74 - 26. Solve -2*d + 6*d - r = 2*u, d = 3*u + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 838245, 1676655, 2515065, 3353475?\nAnswer: 4191885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*j**3 + 53*j**2 + 3956*j + 3843.\nAnswer: -(j - 9)*(j + 1)*(60*j + 427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzzv when four letters picked without replacement from {m: 3, v: 2, z: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4 + 4*p + p + p - 5*p. Calculate l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8686824, -34747240, -78181276, -138988938, -217170232, -312725164, -425653740?\nAnswer: -555955966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -3 - sqrt(847)) + sqrt(7) + (1 + sqrt(7))**2 + -1 + sqrt(7).\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {c: 1, z: 2, u: 1, s: 11, p: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -14. Let t(r) = -3*r**3 + 6*r**2 - 6*r + 6. Let z(u) = 4*u**3 - 7*u**2 + 7*u - 7. Calculate n*t(d) - 6*z(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 538 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/q**8)*q*q*(q\/q**(-4\/9))\/q*(q**0)**(-10) assuming q is positive.\nAnswer: q**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146687101 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1\/28, 11, 3\/4, -4.\nAnswer: -4, -3, 1\/28, 3\/4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*o**3 - 1920*o**3 + 527*o**3 + 462*o**3 + 458*o**3.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 + 17 = 0. What is the smallest common multiple of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00799426712 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3648 + 1930. Is y a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**9\/432 - 7*l**5\/30 - 2*l**3 + 22*l. Let y(p) be the second derivative of h(p). Find the second derivative of y(a) wrt a.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/10 + o**4\/3 + o**3\/3 + 15*o. Factor f(v).\nAnswer: 2*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4464*c + c**2 + 51*c**3 - 4464*c to the form v + l*c**3 + w*c + n*c**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 0*t**4 - 9*t**4)*(1 - 5*t - 1) - t + t**5 + t.\nAnswer: 51*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1\/6 (c) 3\/2 (d) -1\/3 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 5, 6, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*p + 52*p + 2*p**3 - 71*p + p**2 to the form b*p + z + s*p**3 + d*p**2 and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -5. Let b(g) = -2*g + 2. Let o be b(l). Suppose -3*i - o = 5*f, -13 = -2*i + 3*f + 7. Solve -t - 1 = i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 275 - ((-95)\/(-10) + 3\/2 - 7). Solve -285*i + c*i = -84 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 4:27 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 5*g**8\/42 - 11*g**7\/210 - g**4\/6 - 106*g**3\/3 + 318*g**2. What is the second derivative of m(y) wrt y?\nAnswer: 800*y**3 - 132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -275 - -44. Let r = -229.98 - f. Round r to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12120323 - -1032123?\nAnswer: 13213112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.65 times 6054046\nAnswer: -3935129.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 24. Suppose 3*h + 55 = 5*s, -33 = -3*s - 2*h - 2*h. Let n be p(s). Does 14 divide 64 - (-4)\/(-8)*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150910299 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:50 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -16*o - 5. What is the units digit of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187910 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**16*t*(t*t**(1\/11)*t)\/t assuming t is positive.\nAnswer: t**(199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 7*j + 8. Suppose -3*r = 3*b + 1095, -2*b + 2*r - 826 = -76. Let n = b + 374. What is p(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 2:50 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9026\/3 or -3008?\nAnswer: -3008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) -7\/2 (c) -0.2 (d) -0.1 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**5\/120 - 5*g**4\/36 - 53*g**3\/36 - 7*g**2\/2 - 109*g - 67. Let r(x) be the first derivative of h(x). Factor r(d).\nAnswer: (d - 14)*(d + 1)*(d + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1144*u - 540*u - 607*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2986 by -42.\nAnswer: 1493\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/16355689 and -28\/2336527?\nAnswer: 16355689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -3*k**4\/4 + 13*k**3 - 39*k**2 - 120*k - 2018. What is i in z(i) = 0?\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(2\/9)\/l*l)\/(l**(-1\/9)*l))**17)**37)**(-36) assuming l is positive.\nAnswer: l**15096","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-7280)*-13)\/((-39)\/(-364)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80, 180, 246, 272, 252, 180, 50, -144?\n\"Answer: -o**3 - 11*o**2 + 140*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**3\/6 - 32*n + 27. Let g(t) = 36*t**2 - 20*t. Calculate g(j) + 20*h(j).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201 - -30. Suppose -5*r + 34 = -t. Let l = r - 41. Solve v = 2*o + l, 2*v + 3*o + 8 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. What is the smallest common multiple of ((-3)\/2)\/((-1)\/a) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4.3. Let o = -1.6 + 3.6. Let n = -2.11 + 1.61. What is the biggest value in h, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 216 - 216. Let x(k) = 4*k**3 - 6*k**2. Let a(f) = -4*h(f) + 2*x(f). What is the third derivative of a(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - (-26)\/(-5))\/((-84)\/(-15) - 2). Which is the closest to -5? (a) 0.3 (b) n (c) -11 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 1, r: 1, f: 3, h: 4}. What is prob of sequence yf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455552 divided by 16.\nAnswer: -28472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37057 divided by -3.\nAnswer: 37057\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118594 is divided by 1464.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**4\/24 - a**3\/2 - 84*a**2. Give f(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*(b*b**2)\/b)\/b))**(7\/12))**31 assuming b is positive.\nAnswer: b**(-217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 3265?\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4055.49873 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-10)\/(-3*(-4)\/(-6)). Suppose -2*w + l*w = -g + 18, 5*g - 74 = w. Calculate the remainder when 34 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*x + 88*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24141 - 3122?\nAnswer: 21015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 30*y**2 + 15*y + 15. Let t(l) = -l**2 - l - 1. Let g(r) = -81*r + 2022. Let z be g(25). Determine z*d(k) - 45*t(k).\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**2*o**4 - 7*n**2*o**2 + 22*n*o**5 + 5*n*o**2 - n wrt o?\nAnswer: -120*n**2*o + 1320*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.05 (b) -2\/5 (c) 26 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4\/5)*(j\/((j**(-2\/7)\/j)\/j))\/j)\/((j\/(j*j**(-7)))\/(((j**(-1)\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-242\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 + 3 + -9 - (-925 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(500) + -2 + 2 - sqrt(500)) + sqrt(500))**2.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*g - 40 = g, 10 = -5*g. Let t = c - -15. Suppose -t*l - l = -4200000. What is l rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 4*w + 4*w)*(3*w + 0*w - 2*w) - 33*w**2 + 3*w**2 + 0*w**2.\nAnswer: -31*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.2 to the nearest integer.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*j = 316*j - 67928. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7531 + 15042 - 7511 - 541*b + 8*b.\nAnswer: -533*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1423982508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261 (base 10) to base 14.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 466539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*14361746\nAnswer: -1436174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 633396 divided by -4.\nAnswer: -158349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2579*o**5*y - o**4*y**2 + 3*o**2 + 2*o*y**2 - 8655*y wrt o.\nAnswer: -154740*o**2*y - 24*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*g**2 + 2 + g**2)*(-144*g**3 - 91*g**3 - 128*g**3).\nAnswer: 363*g**5 + 726*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*y - 9343 = 14542 - 9325 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 12.56\nAnswer: 3.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202324 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 + 1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 126. What is the highest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 - -3)) + (1 - 25) + 13 + 10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 532 + -902. Let p = -369.586 - c. Round p to two dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1784 and 1035389?\nAnswer: 8283112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 30 = 5*i, -3*u - 171*i = -176*i - 112 + 82 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48829 divided by 11?\nAnswer: 4439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5*42.2\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 261.\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000011111 - 11?\nAnswer: 100000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.0284386 rounded to zero dps?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = -5*o + 46, 3*h - 49 = -5*o. Calculate the remainder when o is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49266 is divided by 347?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2)*(-2*b + 2*b - 2*b)*(-b**2 + 8*b - 8*b) to c*b + d + o*b**2 + t*b**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 - 5*l - 2. Determine f(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4809 - 4806. Solve 4*w = -n*w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/441320 and -69\/1180?\nAnswer: 441320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1 - 1\/1). Suppose q - 2*g = 8, -2*q + 14 = -3*g - r*g. Find the third derivative of 0*c**2 - 5*c**2 - 4*c**q + 2*c**2 + 0*c**2 wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 147.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -85. Suppose -4*j = -3 - p. What is the greatest common factor of j and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3813.\nAnswer: 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -7*r**3\/6 + 25*r**2 - 117*r. List the prime factors of o(-5).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + -153 + -14 - -130.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 298 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 11*b - 16*b - 25 = 0, 2*f = -4*b + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -i + 4, 24 = 5*a + 2*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 7*b + 2*b)*(2 - 3 + 2)*(-3 + 4 + 1).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 258148060 a multiple of 1691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 10:50 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) -49 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b**2*f**2*n + 73*b**2*f**2 + 3179*b**2*f*n**2 - b**2*f*n - b**2 + 86*b*f**2*n**2 - 119*b*f**2 + f wrt n?\nAnswer: 6358*b**2*f + 172*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pip when three letters picked without replacement from {i: 1, p: 9, b: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1100001111011011?\nAnswer: 1100001111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -3, 2\/9, 247\/5?\nAnswer: 247\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - q**3 + 2*q**3 + (-5*q**2 + 4*q**2 + 3*q**2)*(-3*q + q + q) - q**2 + q**2 - 2*q**3)*(-1 - 2*q + 1)*(2*q + 1 - 1).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 6. Suppose 0 = 3*f + 3*v - 12, f - 6*f - 2*v + 20 = 0. Suppose 12 = -f*i + 2*i. What is the remainder when c(i) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -3*t + 11, 0 = -x + 3*t - 12. Suppose -11 = -4*n + 1. Put 4, x, n in decreasing order.\nAnswer: 4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*j**2*t**2 - 7*j**2*t + 13*j*t**2 - 51*j*t - t**2 + 2*t wrt t?\nAnswer: -194*j**2 + 26*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -96082.\nAnswer: -28824.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 122776, 122775, 122778, 122785, 122796, 122811, 122830?\n\"Answer: 2*z**2 - 7*z + 122781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(44)\/sqrt(4)*4))**2 - 2*sqrt(320)*1.\nAnswer: -16*sqrt(5) + 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + l + 3*l = -130507, 0 = n - l - 26102. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -561288 divided by 80184.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:04 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 11*b - 2*u - 4 = 0, 5*u = -4*b - 1. Let o(s) = 2*s - 8. Calculate the remainder when b is divided by o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)\/h)\/h*h**(2\/5))**(12\/11)\/((((h\/(h*h*h**4)*h)\/h)\/(h\/h**(-2\/13)))\/(h\/((h**(2\/7)\/h*h)\/h*h)*(h\/h**(-1\/5)*h)\/h*h)) assuming h is positive.\nAnswer: h**(778\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/109, -1, 1?\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*h - 21, -2 - 4 = 3*h. Let b(i) be the first derivative of -t + 1\/2*i**2 + 6*i. What is b(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*x + 4412, -16*x - 5515 = -21*x + 4*p. Calculate the remainder when x is divided by 360.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 2*m - 406 = -10*o, -25 = 5*m. Calculate the highest common divisor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 86474\/13 + (-2)\/(-13). Let y = n - 126357\/19. What is the common denominator of -97\/4 and y?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19884183 + -29?\nAnswer: 19884155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (sqrt(1008) - (sqrt(1008)*6 + sqrt(1008)))\/(sqrt(108)\/(-1*sqrt(12))))**2.\nAnswer: 576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -860, -1722, -2584?\n\"Answer: -862*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*c - 11, 0 = -4*f - 7*c + 5*c + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/(-2)*4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9 + 4 - 390*r.\nAnswer: -390*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 3, 0, -5, 0.2, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47670 = -85*t + 15*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288443647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*k + 23, -5*f = 7*k - 4*k - 5. Let p = 0 + 2. Solve -4*j - 1 = -m, 2*j + p*m = -2*m + f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11*((-3210)\/3)\/(-10). Calculate the highest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from wgwzmmmzzwwwgwmwwmz?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*d**3 + 127*d**3 + 2 - 66*d**3 - 9*d**2 to the form z*d**3 + s*d + w*d**2 + v and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -1.8. Let i = -0.05 - -3.05. Let x = -0.3177 + 0.0177. Which is the closest to x? (a) i (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 6, -p + 9*j + 1 = 5*j. Let c(l) = -l**3 - 13*l**2 - 25*l - 20. Let b be c(p). Suppose 449 = b*g - 357. List the prime factors of g.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**2*g))*g)\/(g*g\/(g**(-1\/6)\/g))*(g\/(g*g**(1\/4)))\/g*g\/(g*g**(2\/9)) assuming g is positive.\nAnswer: g**(-59\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 4:50 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 3324?\nAnswer: 3319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -11*k**7\/1260 - 5*k**4\/24 + 25*k**2. Let g(u) be the second derivative of z(u). Let o(d) = d**2. Calculate g(o(r)).\nAnswer: -22*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.9 (c) 0.5 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 7. Sort x, 1, 3 in ascending order.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 3*u**5\/25 - 8*u**3\/5 + 48*u\/5 + 6. Determine l so that b(l) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32.7 (b) 62 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 112. Let r = l - -50.621. Round r to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 22*s = -2*j - 992, -2*s + 5*j + 401 = 0. What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 + 6*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 47*l. Let z(t) = 189*t - 7937. Give -4*s(v) + z(v).\nAnswer: v - 7937","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 + 2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 19*r**2 - 3*r - 9. Let o = -8 + -11. Let j be b(o). What is the greatest common factor of 336 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178744.\nAnswer: 2, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2396*o**2 - 839*o**3 - 1205*o**2 - 1211*o**2.\nAnswer: -839*o**3 - 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/(3\/(-12)*2). Let v(n) = 3*n + 6. Let c be v(-2). Let x = c - z. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-12)*9\/2. Let o(x) = -3*x**3 - x**2 + 4*x - 1. Is o(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, 48 = 2*f - 0*c + 3*c. Calculate the smallest common multiple of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -17. Let a = c - -16. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12589044?\nAnswer: 2, 3, 13, 17, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 2, o: 1, t: 1, v: 1, s: 2}. Give prob of sequence qq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {j: 5, g: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (344\/(-301))\/((-72)\/(-1260))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -2*g**2 - 44*g - 1090. What is b(-17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 - 0. Let b = -2.5 - s. Suppose -9*l + 17 - 125 = 0. Is l less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3635*q + 39992. What is d(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.3901 days in minutes?\nAnswer: 328881.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -24*x**2 + 6. Let k(w) = w**3 + 21*w**2 - 6. Give 3*d(n) + 2*k(n).\nAnswer: 2*n**3 - 30*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = j - 42 + 130, -3*j - 34 = -2*g. Suppose 830 = -g*q + 13*q. Let f = -76 - q. Calculate the smallest common multiple of f and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62705 is divided by 10445.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.02 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9637923?\nAnswer: 3, 229, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 280432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*d**2 - 32*d**2 - 49*d**2 - 29*d**2 + 7*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.687 and -0.3742.\nAnswer: -0.2570754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + -19. Let o = k + 48. What is the remainder when 19 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 7*m**5 - 25*m**4\/4 - 80*m**3\/3 - 10*m**2 - 7028. Solve y(r) = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 47*l**2 + 40*l + 105. Calculate p(46).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3888182 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = -2*r, 4*o - 2*r - 28 = 0. Suppose -o*u + 56 = -u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 + 0*x**5 - 6*x**5 + (0*x**2 - 2*x**2 + x**2)*(5*x + 2*x**3 - 5*x) - 8*x**3 + 8*x**3 - x**5 + 30*x**3 - 12*x**5 - 30*x**3.\nAnswer: -18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2926948*n**5 - 812827*n**2 + 7*n.\nAnswer: -175616880*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.12*-0.142\nAnswer: -0.44304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19*a - 3. Let k be w(-1). Suppose 2*t + 3*t + 3*x + 2 = 0, -k = -4*t + 2*x. Let l be -3 + t - (0\/(-3))\/2. Round l to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 17*g + 7*g - 147 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101198 and 1.7.\nAnswer: -172036.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:14 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2089169ug to milligrams.\nAnswer: 0.0002089169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 6*o**4 - 29*o - 4 + 29*o wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - -868294969.29.\nAnswer: 868294969.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b**3 + 0*b**5 + 0 - 1\/112*b**8 + 1\/35*b**7 + 0*b + b**2 - 1\/40*b**6 + 0*b**4. Factor t(v).\nAnswer: -3*v**3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*s + 11, -21*v - 7*s + 44 = -9*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 7. Calculate the common denominator of 39\/11 and (-130)\/18*(-8)\/w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 365\/546?\nAnswer: 365\/546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1713060 and -121\/1252560.\nAnswer: 116488080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 474.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3306*p**3 - 6580*p**3 + 3266*p**3 + 14*p - 14*p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8498094 to the nearest integer?\nAnswer: 2915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1659\/(-42))\/((-1)\/2) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/7)\/(71\/(20377\/1599))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 20, 12*w + 197 = 15*w + 4*z. Let f = 143\/2 - w. Factor -2 + 5\/2*y - f*y**2.\nAnswer: -(y - 4)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(4 - 7\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -267*g**6\/5 + 2939*g**4\/12 + 3011*g. Find the third derivative of l(w) wrt w.\nAnswer: -38448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 - 67*u**3 + 3*u**3 + 28*u**3.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.058643\nAnswer: 0.234572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4308.30957 + -0.09043. What is i rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1545 = -4*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -22. Suppose s*o + 39 = -5*c, -3*o + 0*o - 3 = 0. Let l = c - -9. Solve -d + 0*m + 2*m = l, 5*d + m - 1 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39310956 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + 9 + -13 + 6 - -8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, 933\/5, 4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z + 3590 = 16*z - 15*z + 3765. Suppose 3*x - 2*x + 1 = 0. Let m be x - (-14 - (0 + 2)). Calculate the greatest common factor of m and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/51*1122\/(-132)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 2*l**2 + 16*l - 27. Is t(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 20*f + 48. Let t be l(-20). Solve -3*d - 60 + t = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1382991\/1348 - -5875521091\/101100. Let m = 59141 - u. What is the common denominator of m and 79\/6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 105. Suppose -6*u + 3*u + j = 0. Suppose -4*t + 3*a = -u, -6*t + 23 = -t + a. Calculate the least common multiple of t and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-32)\/2)*6\/3*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1466*h**3 - 8*h + 7. Let x be 6 + (-4)\/(8\/10). Is p(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -30548?\nAnswer: 30547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -105, -492, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2714414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*g - 20 - 5 = 0, 3*j = 5*g - 31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1812 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 + (-1)\/3. Let n be (-1)\/15 + 6\/9. Let d be (-2 - 0\/(-3)) + 1. Sort n, c, d in ascending order.\nAnswer: d, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:13 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126702 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: How many litres are there in 8.573125 millilitres?\nAnswer: 0.008573125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 37 = -5*p, -y + 3*p + 29911 = 29922 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + 3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 2*d = -17*i + 4, 3*i = 4*d + 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3722, 7465, 11208, 14951, 18694, 22437?\n\"Answer: 3743*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 9*b - 6*b. What is the least common multiple of 6 and (-5)\/((-15)\/b) + (-14)\/(-21)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.86 less than -8448?\nAnswer: -8449.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3*p**2 - c**3*p + 5*c**3 - 335*p**3 + 72 wrt p?\nAnswer: -8*c**3 - 2010*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 1526634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 20*n - 232000 = 0. What is n rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 2*k**4 - 5*k**4 + (89 + 426 + 61)*(-3*k**3 + 3*k**3 + 2*k**4) + 0*k**4 + 0*k**4 + k**4 + (-2*k**3 - 3*k + 3*k)*(k + 2*k - 5*k).\nAnswer: 1153*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1527996*d**3 + 73*d + 1718 wrt d.\nAnswer: -9167976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2245*x - 117. Is l(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -2*130\/13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 12*u + 9. Let h be g(-8). Let o = h + -35. Suppose o = -q + 2*x, 0 = -0*x - 3*x + 15. Solve 1 = t - q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - 2.4. Let z = -3 - p. Let n = -1 - z. What is the biggest value in -3, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 + 10871638044.332\nAnswer: 10871638044.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*d. Suppose 5*z + 15 = 0, 5*g - 2*z + 3*z = 7. Let c(f) = 1214*f + 3*f**3 + 0*f**3 - 1212*f - f**g - 4*f**3 - 1. What is c(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14823.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 503 + 1902*v**2 + v - 5881*v**2 + 50 - 4*v - 7246*v**2 wrt v.\nAnswer: -22450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (79782\/4)\/((-15)\/(-6)) - (-112)\/140?\nAnswer: 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 52 - 119)*(i - 3*i + 4*i)*(-i**2 - i**2 - i**2) + 0*i**3 + 5*i**3 - 2*i**3.\nAnswer: 825*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 9:23 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7356*m - 618*m - 619*m - 6102*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 693 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40476 is divided by 3372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 12*x - 15. Calculate c(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-15)*(11356\/(-646) + 15) + (-10)\/6.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20368 and 560?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -118, -215, -364, -559, -794, -1063, -1360?\n\"Answer: x**3 - 32*x**2 - 8*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 48\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 2, 2\/67, 2\/37, 0.3 in descending order.\nAnswer: 2, 1.3, 0.3, 2\/37, 2\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7130?\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*h - 2*h - 4, 10 = b - 4*h. Suppose b*p = -0*p + 28. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58579100 is divided by 609.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + s - 2 + 8, 3*p - 4*s - 9 = 0. Solve 0 = 3*r - 5*g + p, -r + 4 = -3*r + 4*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away -45953?\nAnswer: 45945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1de0c4 (base 16) to base 2\nAnswer: -111011110000011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 11282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6853 and 457193?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57667 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 1. Let x be (-46)\/(-7) + (-18)\/(-42). Let n(s) = -x*s**2 - s**2 - s**2 - 6. Calculate -6*b(y) - n(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5\/5 - 22533*u**4\/5 - 50816001*u**3\/5 - 30146376651*u**2\/5 - 90083755848*u\/5 - 59988172668\/5 = 0?\nAnswer: -3293, -922, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23548 - -7785. Round z to the nearest 100.\nAnswer: -15800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:09 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 2203760.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -80753812 and 10.\nAnswer: -80753802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 5*s - 3*s)*(5*s - 3*s - s) + 17055 - 8762 - 8673 + 9*s**2 to x*s + j*s**2 + v and give v.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2 and -113\/1789686.\nAnswer: 1789686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5096 - 20429 + 5104 + 5129 + 5104 + 5*m.\nAnswer: 5*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 44. Let s be 40\/2*(-1 - x). What is the units digit of (-350)\/s - 2\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8335\/9 - 927. Suppose -n = -4*i + 20, -3*n + 4*i - 5*i = -5. Are n and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.59082 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1\/5, 0.556?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-90)\/(-7140)*(2 + (1 - 1)). Which is greater: -0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1051 + 1106. Solve 0 = -3*s - n + 64 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1100) - (sqrt(1100) - (2 + (sqrt(1100) + -2 - sqrt(1100))))))**2 + 1*((2 + sqrt(539) + sqrt(539))**2 + -4).\nAnswer: 56*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*p**3 + 22*p**3 + 22*p**3)*(48*p - 41*p + 54*p).\nAnswer: 5002*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let b = 1025 + -1027. What is the closest to b in p, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - g**2. Let q(l) = l**2 + 5*l - 4. Let b be q(-6). Let m be w(b). Let d = m - -1. Let j(f) = f**2 - 6*f + 1. Calculate j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -1\/2*q**2 + 0*q**4 - 6*q - q**5 - 192 + 0*q**3. Differentiate c(z) with respect to z.\nAnswer: -20*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11 + 0 + 851*f + 94*f.\nAnswer: 945*f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 102*n**2 - 591*n - 333. Determine j(-96).\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, u: 6, c: 2}. What is prob of picking 3 u and 1 w?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2300, 4590, 6878, 9164, 11448, 13730, 16010?\n\"Answer: -n**2 + 2293*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 262 and -35.1.\nAnswer: -9196.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -28. Let d = 5 + k. Let u = -5 - -73. Calculate the greatest common divisor of u and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 1. Suppose -4*i - 10 = -6*i. Let k(m) = 5 - m**2 - m - i. Determine k(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, 1\/3, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-25*(-2)\/20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4 + 1. What is the remainder when (3 + u)\/((-3)\/(-6)) is divided by 2 - (-4 - -2) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = 0. Let s(r) be the second derivative of -r**3\/6 + 17*r**2\/2 - 2*r. What are the prime factors of s(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 0*d - 63\/2*d**2 + 27\/2*d**4 + 30 + 0*d**3. What is the second derivative of y(o) wrt o?\nAnswer: 324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.41 + 7.41. Sort -0.1, 0.027, -1, 6, a in descending order.\nAnswer: 6, a, 0.027, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 10*z + 4. Let p(k) = -4 + k**2 - 11*k - k**2 + 3*k**2 + 0*k**2. Let d(x) = 5*j(x) + 4*p(x). Factor d(w).\nAnswer: 2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6139\/899 - 184\/29. Find the common denominator of 24\/7 and j.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j - 4. Let s be z(7). Let t be s\/(-9)*(-15)\/4. Suppose -175 = -3*m + 95. What is the greatest common factor of t and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 1. Let d be w(-2). Sort -4, d, 4 in ascending order.\nAnswer: -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -16 + (-14 - (9 - 30))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 11\/1306, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640841 is divided by 194.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -3ec2?\nAnswer: 3ec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v + 1)*(6 + 0 - 2) + 2*v - 2*v + 3*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -h - 96. Let u be h\/72 + 0*2\/4. Let o = -0.16 - -0.26. Which is the closest to -0.6? (a) o (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*w, -3*o + w + 15 = 1. Suppose q - 6 + o = 0. Suppose 0 = -q*d + 8 + 178. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2 - 536*z - 5849. Calculate n(-122).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*c**2 + 60*c*h**2 + c*h + h**2 + 1903*h wrt c.\nAnswer: -16*c + 60*h**2 + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose -2*l = 3*a + a + 34, -v*l - 54 = 5*a. Let t = 48 + l. What is t rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1518.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3890293 is divided by 997?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16427*c + 5. Let g(a) = 89*a. Give w(g(j)).\nAnswer: -1462003*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-65)*(-4)\/(-6). Let p be 1\/(-6)*(-4)\/249. Let u = p + 488\/3735. What is the closest to -1 in 0.1, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 + 3 = 0. Let n be ((-7)\/14)\/((-1)\/x). Let a(r) = -5*r - n*r + 6*r. Let y(d) = 3*d**2. What is y(a(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9008949279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 198\/22 + -1*5. Let v(d) = -d**3 + 7*d**2 - 4*d - 7. Let t be v(m). Suppose -998 = t*p - 27*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(112\/128)\/((-1)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u + 2. Let m(y) = 186*y - 15. Calculate 11*l(r) + m(r).\nAnswer: 65*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -4*n**2 - 383. Let j(o) = 3*o**2. Give u(j(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -25. Solve -t*x + 4*x = 3*o - 16, 3*x = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -474229, -948464, -1422687, -1896892, -2371073, -2845224?\n\"Answer: w**3 - 474242*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*2\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 416338*c**3*i**3 + 3*c**2*i**3 - c**2*i**2 - 2*c**2 + c*i**2 + 1144*i**3 wrt c.\nAnswer: 2498028*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100022 - 212220?\nAnswer: -1020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**3\/3 + 12*y**2 - 18*y + 1. Let z be o(23). Solve -z = v - 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 - 0)) + (15 - (-31 - 59))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82575310.\nAnswer: 2, 5, 8257531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 6*y + 5. Let h be k(5). Suppose -34 = -2*t + h. What is the lowest common multiple of 8 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 2b728?\nAnswer: -2b72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443313619?\nAnswer: 7, 63330517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyys. What is prob of picking 1 s and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 520534188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326*-0.04.\nAnswer: 13.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-5 - (-2738)\/547). Let s = u - -777. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 189. Let o(p) = -p - 3. Let v(l) = 5*a(l) + 315*o(l). Let u(h) = -2*h**2. Calculate v(u(f)).\nAnswer: 630*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 10331?\nAnswer: -10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 6*b + 2. Let m be c(6). Let o = -0.41 - -17.41. Let n = -17.1 + o. What is the nearest to n in -2, -4, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 51633.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f - 1443*f**3 + 10*f + 4*f - 599*f**3.\nAnswer: -2042*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g. Let n(l) be the first derivative of -l**3\/3 + 2*l - 3. Suppose -4*c + 2 = 10. Let p(u) = u**2 - 1. Let y(h) = c*p(h) - n(h). What is y(j(o))?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by -101.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12753816.\nAnswer: 2, 3, 223, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -0.5 (c) -6758 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, 0.3, 4, -22, 5, -2\/3 in descending order.\nAnswer: 22, 5, 4, 3, 0.3, -2\/3, -22","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - (-4)\/12. Let x(g) be the second derivative of t - 1\/10*g**5 + 0*g**4 + g + 0*g**3 + 0*g**2 - 1\/15*g**6. Factor x(o).\nAnswer: -2*o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45977419417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*s - 1925 = 377*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 v, and 1 p when four letters picked without replacement from {u: 1, p: 5, v: 10, e: 1}?\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-35))\/((-1)\/(-7)). Suppose -w*a = 15 - 25. Suppose -a*s + 0*z + 75 = 5*z, 87 = 5*s - z. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.4 times 37.2391\nAnswer: -1094.82954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70883 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w - 40. Let v be (-679)\/21 + (-2)\/w*-3. Let c = 46 - v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 148.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(500) + (sqrt(500) + 0)*-4 + sqrt(500))**2.\nAnswer: -160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -271 and 0.0658?\nAnswer: 271.0658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -204. Let h = 166 - y. What are the prime factors of h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19984 + -4.19984. Let l(i) = -i**2 - 7*i - 7. Let c be l(-6). What is the closest to c in -5\/2, z, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40136 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -z, 5*q = 3*z - 0*q - 30. Let g(d) = d**2 - 3*d - 3. Let c be g(z). Suppose 2*u - c = 3. What is the lowest common multiple of u and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -2, -14, 1 in decreasing order.\nAnswer: 2, 1, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/358509 and 5\/11?\nAnswer: 3943599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 b when three letters picked without replacement from {b: 5, x: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 498991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/5 - 2976*z**2\/5 - 49536*z - 1003520 = 0.\nAnswer: -40, 1568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143561808 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283 by -4.\nAnswer: 283\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 94*r**2 - 3. Let m(a) = 2*a. Give m(s(l)).\nAnswer: 188*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:13 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286103 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-8\/7)*h*h*h*h\/(h*h**(-3\/2)*h))**42)**(15\/2) assuming h is positive.\nAnswer: h**(1485\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -62*b - 485. Determine a(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 + 157. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*y - 18, 3*o + 389*y - 385*y - 11 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14227 is divided by 153.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/193482 and 20\/75243.\nAnswer: 1354374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435008 is divided by 5979?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172506*v**2 + 134496*v wrt v.\nAnswer: 345012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 + -174. Suppose 2*o + 9 + 70 = 3*y, y = -3*o + 19. Solve -l + 4*v - 14 = 8, -z*l = -3*v + y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qizizkhqqiqqwzhhih. What is prob of picking 2 q and 1 h?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 497*-0.2\nAnswer: -99.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 662*n + 13. Give s(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3201087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -122*u - 715. Determine l(0).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32729.02 meters to millimeters.\nAnswer: 32729020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*13\/3224 + -14*5100\/744?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20395320 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q**2 - 17. Let l be p(-6). Let g = l + 1107. Suppose 4*w + 46 = g. Calculate the remainder when w is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 75*q**4 - 1944*q**3 + 5169*q**2 - 3024*q - 276 = 0.\nAnswer: -2\/25, 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times -6.4184?\nAnswer: 1.091128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2559?\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56780?\nAnswer: 2, 5, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1323 - 1275. Find the common denominator of m and -103\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 538?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -41. Let v = u + -56. Let j = v + 40. Solve -3*p - j = -6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 62*i. Let c(l) = -2523*l**2 - 203*l - 203. Let s(g) = 75*g**2 + 6*g + 6. Let o(h) = 6*c(h) + 203*s(h). Give z(o(q)).\nAnswer: 5394*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 8:12 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:52 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w. Let z(o) be the second derivative of 0*o**4 + o + 0 - 1\/30*o**5 + 0*o**3 + o**2. Let n(b) be the first derivative of z(b). What is n(r(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145261398*r**2 + 9904*r + 16732 wrt r?\nAnswer: -290522796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 4 - 4 - 2*z + 11*z**2 to y*z + t + h*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*m + 2*m**3 - 167076*m**2 + 16*m - 2 + 167076*m**2 in the form s + u*m + c*m**3 + a*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244214 - 15?\nAnswer: -244233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.24 < -0.0267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 851971.4ng?\nAnswer: 0.8519714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 = -7*x - 147. Suppose 2*s - 228 = u, s + u = x + 34. Calculate the remainder when s is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 435\/116*4\/3. Let w(z) = 3. Let v(y) = -2. Let x(s) = 4*v(s) + 3*w(s). Let c(f) = -3*f - 2. Determine m*x(l) + c(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 = -2*b. Let s(n) = -n**2 + 6*n + 4. Determine s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14062352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78352 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -679, -1188, -1713, -2260, -2835, -3444?\nAnswer: -4093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174839 is divided by 2132?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -432 at least as big as -3499\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*s - 4885 = -256*s. What are the prime factors of s?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 150*t + 155*t + 7 = 0, 4*t + 20 = 6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -5*m - 5*n - 272, -2*n + 256 = -16*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 5:19 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 5. Let d be g(1). Let b be 3\/30*(-1*2 - d). What is the smallest value in 0.4, b, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 350*m - 353*m + 41, 0 = -2*m + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 7*v, 0 = 5*o - 6*v - 4*v + 6*v - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 107051 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 23017*m**2 - 23017*m**2 - 26 + 167*m + 25 in the form w*m**3 + n*m**2 + l + p*m and give p.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 1. Let p be c(-2). Suppose -d = 3*d - 8. Suppose -p*g - 3*b = -2*b - 102, -d*g = 3*b - 61. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**2 - 2. Let j(a) = 105*a**2 - 216*a**2 + 1 + 0 + 107*a**2. Determine 5*j(y) + 3*o(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 338451 - 3*g - 2*g.\nAnswer: -8*g + 338451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -2 - (2092 - 2173)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4967987548 to the nearest integer?\nAnswer: 70484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-6)*((-1)\/1)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/17)*p*p*p*p)\/(p*p**(-10\/7)) assuming p is positive.\nAnswer: p**(555\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*u - 112731 - 58440 = 0. Does 57 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, h: 4, p: 4}. Give prob of picking 2 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111492 and 456.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 739*7393.\nAnswer: 5463427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2492, 5, 1, 2 in increasing order.\nAnswer: -2492, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25375744 + -25375745.0790469. Let b = -9.494 + 10.573. Let c = j + b. Round c to 6 dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 2, a: 1}. Give prob of sequence aop.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7b7 (base 14) to base 11\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 319569525 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 25*v - 42 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 62 = -2*p - 12, -2*l + 84 = -5*p. Solve l = 4*b + 2, 4*b - 32 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*b = 7*b + 1780, -5*b = d - 439. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 38. Is r <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1886\/14 - 5*(-12)\/210. What is the hundreds digit of 45\/a - 4054\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 177650 = -k, 20*k = 25*k - 20. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -816*n. Let o(a) = 699*a**2. Give b(o(s)).\nAnswer: -570384*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 1\/(0 - -1)*-13. Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = -6*y + 183. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/30)\/((297\/440)\/27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6968565 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -0.4, 12 in increasing order.\nAnswer: -0.4, 3, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005758988 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcuuq. What is prob of sequence cuq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4801, 9599, 14409, 19237, 24089, 28971?\nAnswer: 33889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*r = 149*r + 60008080. What is r rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -12.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 728050133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -12.8. Let t = n + -2. Let x(y) = y**2 - 5*y + 2. Let z be x(5). Which is the closest to -1\/4? (a) z (b) t (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/42 and 77\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**(1\/3)*q**(2\/39))\/((q**(-2\/21)*q)\/(q**(-8)\/q)) assuming q is positive.\nAnswer: q**(-654\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 178273542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 247*j + 773. Let c be q(9). What is the greatest common factor of c and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 233263 - -119?\nAnswer: 233382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 244887 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (11 + -28 - -6) - 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7180*k**2 - 4419*k**2 - 2761*k**2 + 3*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -3) + 0 - 4. Calculate the common denominator of 14\/9 and 104\/(-4)*1\/q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*u - 204*u**3 + 2*u**3 - 1552*u - 144*u**3.\nAnswer: -346*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 6 + 3 - 4 + (k + 2*k - k)*(0*k + 0*k + k).\nAnswer: 3*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 7*o**2 - 7*o + 13. Determine m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 5*q**3 - 87*q + 87*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -69463b (base 16) to base 7\nAnswer: -112433313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/187)\/((-5)\/(-209))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 12, y: 1}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 79\/7 - (-16)\/(-56). Solve -3*p = -2*n + 13, -8 - v = -n + 4*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1115 - -24?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 7*j**2 + 1. Let t be p(-7). Let r be -3 + 4\/(-4) + 8. What is the second biggest value in -0.08, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -40. Does 21 divide 1 - 1554\/a - 18\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011001000 + -10111?\nAnswer: 100010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - 2*o, -5*k = 4*o - 4 - 4. Let z be (k - -2) + -4 + -5. Let q(h) = -2*h - 6. What are the prime factors of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 2*q + 11*q - 7*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:22 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 357.03636 - 3.66236. Let y = n - 353. What is y rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5 - 37*l**4 + 183*l**3 + 113*l**2 - 632*l + 372 = 0.\nAnswer: -2, 1, 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21829*i + 167341*i + 15849*i + 10379*i.\nAnswer: 215398*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2804 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2370820 and 1330.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m*p*z**3 + m*p - 40*m*z**2 + 51*p*z**3 + 3*p wrt m?\nAnswer: p*z**3 + p - 40*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*b + 23 = 0, 6 = 3*p - 15*b + 17*b. Calculate the least common multiple of 914 and 8*(p - (-8 + 11)).\nAnswer: 3656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 11*u - 8. What is the units digit of x(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(2275\/(-10))*5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose 0 = a - h - 3, -a + 0*h = -4*h + w. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pktekpiptetepteee. Give prob of picking 2 e.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 46*n + 285. Give w(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 and (((-782)\/(-196))\/(-1) + 4)*(-29)\/(-2)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 14 (b) 3 (c) 5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -41, 21\/4, 3, 16?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -378 + 1cb9?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1400634 + -4?\nAnswer: 1400630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 - 4*t**3 - 9*t**3)*(-4 + 1 + 1).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -36575*z - 1610. Let n(q) = 273*q + 12. Let v(f) = -805*n(f) - 6*u(f). Let s(g) = -g**2. Give v(s(a)).\nAnswer: 315*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4866764 is divided by 152085?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5506 (base 16) in base 4?\nAnswer: 11110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = 13*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47843518, -47843516, -47843514, -47843512, -47843510, -47843508?\nAnswer: -47843506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/(3\/540*4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1170*b**3 + 135*b**2 + 135. Let d(u) = -u**3 - u**2 - 1. Calculate 135*d(y) + o(y).\nAnswer: 1035*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + 3018. Let c = 49563\/16 - k. What is the common denominator of c and 37\/26?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 9*y**2 + 9*y + 12. Let v be d(8). Suppose 0 = 5*i + v, -104 = -5*t + i - 0*i. Calculate the lowest common multiple of 2 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/102 + (-27)\/81?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -19*p**8\/48 - 13*p**6\/60 - 17*p**4\/24 - p**3\/3 + 13*p**2 + 2*p. Find the second derivative of m(c) wrt c.\nAnswer: -2660*c**3 - 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*i - 7*i + 77*i - 870 + 95 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3316 + 3318. Let f(j) be the first derivative of -1\/2*j**3 + 0*j - 19 + 9\/32*j**4 + 0*j**u + 3\/40*j**5. Let f(g) = 0. Calculate g.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 3)*(-7)\/(-63). Suppose -15*h - 7 + 52 = 0. Let u be (75\/40 + -2)\/(1\/h). Sort 3\/5, b, 3, u in decreasing order.\nAnswer: 3, 3\/5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 2. Let c be 6\/4*16\/(-12). Let t(f) = 4*f - 3. Let g(w) = c*t(w) - 3*s(w). Let i(q) be the first derivative of -8*q**3\/3 - 5. Give i(g(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197329441 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6627591*m**3 - 16055*m + 19.\nAnswer: 39765546*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332648 = -10*p - 96328. Is p a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.298 + 32.658. Let k = t - -0.64. Let h = -37.5 + k. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 4 = 0. Calculate the least common multiple of v and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1141.846.\nAnswer: -228.3692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16585 + 16590. Solve -3*g - 3 = 3*d + 9, 0 = r*d + 3*g + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1)*o)\/o)**(-3\/7)\/(o**(2\/5))**(-33))**47 assuming o is positive.\nAnswer: o**(3102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31956 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20*a - 8. Let b(l) = 7*l - 3. Let n(t) = 8*b(t) - 3*x(t). Let c(g) be the first derivative of 18*g**2 - 61023. Determine c(n(d)).\nAnswer: -144*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4734 and 49974471.\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(2057)*2 + 1) + 4*(0 + 1*sqrt(68)\/sqrt(4)*1))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 0, 30461*j + v = 30463*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6316607 is divided by 44172?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/180 and -119\/324.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 317, 1282, 2891, 5144, 8041, 11582?\n\"Answer: 322*n**2 - n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) -2 (d) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-37)\/(2405\/(-78)))\/(4\/10). Solve 5 = -3*z + y*j + 14, -4*z + 3*j + 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21247080*g**3 + 77833220*g**2.\nAnswer: -127482480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216 or -211?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 4, g: 3, d: 1, h: 1, w: 1}. Give prob of picking 1 h, 1 g, and 1 e.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 6*b - 25. Suppose -4 = -m - 0, b*p - 48 = 3*m. Suppose -3*z = z - p, -t + 50 = 2*z. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 14*w + 26. What is the units digit of o(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -272, -452, -668, -932, -1256, -1652?\nAnswer: -2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -7, -15, -27, -43?\n\"Answer: -2*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b, 3*b + 29 = -0*a + 5*a. Suppose 2*x = a*p + 4 + 10, 3*x - 3*p - 15 = 0. Solve -4*t - 1 = -x*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 195*w**2 + 219990. Let b be n(0). What is b rounded to the nearest one thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/1 - (77 + -68)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -12)\/(0 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) -1\/6 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 9*v - 10. Suppose 3*t - 2*t = -7. Let n be j(t). Let u(x) = 2*x + 5 - n + 4 - 2. What is u(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 - w + 5. What is a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2810 and 172534?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - 48\/(-18). Let w(z) = -3*z**2 + z + 6. Let x(q) = 1. Let s(n) = -w(n) + 4*x(n). What is the remainder when s(i) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 4 + 6 + 0. Let a(p) = 43*p**2 - 14*p + 6. Does 13 divide a(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 16}. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) 159 (d) -4\/25241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-75)\/9 + (-1)\/(-3)). Calculate the highest common factor of 80 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4 + 348*i**3 + 14188*i**2 - 16572*i - 87048 = 0?\nAnswer: -31, -2, 3, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 1314*p\/5 - 1316\/5.\nAnswer: 2*(p - 1)*(p + 658)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2544679*g**3 - 59918016*g wrt g.\nAnswer: 15268074*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -927 + 930. Suppose -4*m + 10 = -10. What is the remainder when m is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -218710\/9 - -24308. Calculate the common denominator of 42\/135 - (-2)\/(-10) and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 12*u + 3*n - 9816 = 0, 0 = -n. List the prime factors of u.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-4)\/(-4))\/1)\/2. What is the closest to j in 0.5, 14\/9, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 24. Let x be 1\/(4*y\/120). What is the third derivative of x*k**5 + 66*k**4 - 66*k**4 + 4*k**2 wrt k?\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258760\/30 - (-78)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-one quarters of a gram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 253956\/29, 5 in ascending order.\nAnswer: 0.3, 5, 253956\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -399, 137 in descending order.\nAnswer: 137, 60, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 105793, 105957, 106229, 106609?\n\"Answer: 54*a**2 + 2*a + 105737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z + 108 = -2*y, -144 = 2*y - 4*z. Is 1\/8 + (-10424)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 16056519*k**2 - 21484308838185*k + 21484324894707 = 0.\nAnswer: -2676087, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -11 - (1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -8.1. Let h = -5.1 + r. Let i(v) = -v**3 - 7*v**2 - v - 8. Let m be i(-7). Which is the closest to -2\/3? (a) m (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/9 - 8*f**3\/9 + 5*f**2\/3 + 8*f\/9 - 16\/9 = 0. What is f?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*b + 53, 411*b - 407*b + 3 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/36 or 2\/3?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/16*(-816)\/340?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29942 divided by 875\nAnswer: -29942\/875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 37 = -c - 1, 0 = 4*c. Suppose -d + 14*d = -52. Let p(f) = 5*f**2 + 18*f - 5. Let l be p(d). What is the highest common factor of m and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/4)\/(381\/508*(-8)\/(-12))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - ((-1316)\/(-705) - 4\/(-30)). What is the greatest common divisor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 3:41 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105448 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veaeoeoeevoaeoaoeoe. What is prob of sequence vvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*h + 1023 - 264. Solve 3*a = 3*f - 18, -29 = -h*f + 18*f + 4*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8539 - -8542. What is the second biggest value in 0.08, -2, -6.7, h?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4588074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3.56. Let x = -0.06 - b. Let i = -0.035 - -0.135. What is the nearest to i in x, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-81)\/(-6) + -1)*(-180)\/225. Which is smaller: q or -229\/23?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, 2\/7, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 12:29 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/180 + s**4\/12 - s**3\/2 - 5*s**2. Let m(g) be the first derivative of a(g). Differentiate m(d) with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/13 - 3906*k**2\/13 - 31376*k\/13 = 0. What is k?\nAnswer: -8, 0, 1961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2592158735.\nAnswer: 5, 1723, 300889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from hjjhhhjjjhhh?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60248, -120494, -180760, -241046, -301352, -361678, -422024?\n\"Answer: -10*i**2 - 60216*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 51 - 6 = 5*c, 4*o + 3*c = 125. Suppose -5*d + 0*d = -o. What is the smallest common multiple of d and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 30*z**2 + 51*z - 25. Calculate t(-32).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.9 + -1064.02.\nAnswer: -1146.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s - 3*s = 0. Let r(d) be the second derivative of -1\/30*d**5 - 2*d + 1\/18*d**4 + 0*d**3 + s + 0*d**2. Let r(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32209 - 18701. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2633, -5263, -7891, -10517, -13141, -15763, -18383?\n\"Answer: y**2 - 2633*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhe when three letters picked without replacement from {u: 1, e: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -4.9. Let d = -3 + 3.1. Let t = 1.885 - 1.985. What is the nearest to d in l, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 4*s. Let w be c(-4). Suppose 3*f + 2*f = w. Solve 4*i + i = f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(4*u**3 - 2*u**3 - 5*u**3) + u**3 - 3*u**3 - 3*u**3 + (1 + u**2 - 1)*(4*u - u - 2*u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 6b2848?\nAnswer: -6b2848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-2 - ((-2 - -2) + 2). Let z(r) = 290*r**2 - 14*r - 51. Is z(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2369\/2)\/(14\/84). Suppose -4*i + 3*d + q = 0, 5*i - 4*d - 8966 = -82. What are the prime factors of ((-26)\/12*2)\/((-37)\/i)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 - 10 = 0. Let j be f + (48\/(-1) - 2). What is the common denominator of 9\/(-3)*(-99)\/j and 77\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 + 4899*n - 9801*n + 5 + 4907*n + 3*n**2. Let m(z) = -3*z**3 - 2*z**2 + z + 2. Let b be m(-2). Suppose -1 = 3*k - b. Determine c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i*i**5)\/i)**(-47))**47)**47 assuming i is positive.\nAnswer: i**(-726761)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8) + sqrt(1152)*3).\nAnswer: sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4719 and 572.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 5, -1\/14, -3 in increasing order.\nAnswer: -3, -1\/14, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 253 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-12)*6\/27*-3*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-10)\/(-2)) - -4. Suppose -j + n = 4. Which is the nearest to 12? (a) j (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -298*-3\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 4*l + 4. Let a be i(5). Let f = a + -5. Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = 45*c + 183 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 919*a**2 + 106609*a + 572. Calculate w(-116).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*w**3 - 188*w**3 - 114 + 54 + 60.\nAnswer: -345*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -582 divided by 97.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161740522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 17*f**2 + f + 1818. What is the remainder when g(0) is divided by 45?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(54\/60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5832564 and 45474.\nAnswer: 45473.4167436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112110000 (base 3) in base 9?\nAnswer: 45400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijjiiicijciccijjc. What is prob of picking 2 i and 2 c?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-250)\/(30\/6) + 1). Solve -50*h = -j*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/2 - 3370209*n**3\/2 + 1262258901009*n**2\/2 - 157698542929451403*n\/2 + 15744622593360960300.\nAnswer: 3*(n - 374401)**3*(n - 200)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.338 (b) -20 (c) -2\/19 (d) -0.5 (e) 2\/9 (f) 3 (g) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.045 (b) -1 (c) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 - 6*w - 2. Let r be n(7). Let k(h) = -1 + 6 - 2*h - r. Let s(j) be the first derivative of -2*j**3\/3 + 2. What is s(k(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11d37 (base 14) to base 2\nAnswer: -1010101011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 = -3*s + 5*a, -4*a + 19 = s. Suppose -5 = -4*i - 2*m + m, 9 = s*i - m. Let q(w) = -2 - w**i - 2*w - 3*w - 5. Determine q(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51, -96, -171, -276, -411, -576?\n\"Answer: -15*d**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 811280 (base 9) to base 4\nAnswer: 1311022230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*y + 3*y. Let s be (-611)\/7 - (-44)\/154. Let c = s - -84. Is c bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 + 493. Calculate the remainder when a is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/21)\/n*n)**12 assuming n is positive.\nAnswer: n**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10100111110 (base 2) to base 12\nAnswer: -93a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.79 - -0.7. Let a = c + 1.08982. Round a to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 27 - 73 = 0. Suppose m*o = -f - 2, -10 = -0*o + 4*o + 5*f. Solve o = 4*q - r - 4*r - 24, 4*r = q - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -1) + (47 - 13 - 29)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 2 - 2 + 1 + 8*y - 1. Let b be p(-9). Suppose 0 = -b*g + 2*g + 9. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**2. Let z(d) = 4*d**2 + 18*d - 1. Calculate z(w(t)).\nAnswer: 196*t**4 - 126*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**4 + 29*q**4 - 2*q - 39*q**4 + 382*q**2 + 3*q as r*q**4 + d*q**2 + g*q**3 + a + f*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -1.1 (c) 1 (d) 3\/158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s - 695 = 169 + 516 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose 25 = 3*q + h*q. What is the units digit of (-7)\/(-1) - (q - 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/10)\/((-2)\/84). Suppose -5*k = 2 - w. Solve k = 3*u - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3. Let c = 168 - 166. Suppose 0*l + 10 = -c*m + l, 2*l = 0. Let f(o) = o**2 - 3. What is m*g(w) + 6*f(w)?\nAnswer: w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 2:01 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2 - 6. Let v be (-3)\/w*-4 - -3. Which is the nearest to -0.1? (a) v (b) 0 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-7*o - o - 5*o).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - (71 + -67).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -396.37 - -398. Let j = a + 73.37. Let i = -73 + j. What is the closest to i in 1\/6, 12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 27*a**4 + 6*a**3 + 144*a**2.\nAnswer: 3*a**2*(a - 8)*(a - 3)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1778, -3886, -7402, -12326, -18658, -26398, -35546?\nAnswer: -46102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/252 - (-17358)\/14. What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 + 7806*i\/11 + 1420.\nAnswer: -2*(i - 3905)*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1467 + -262.8533. Which is bigger: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let d(v) = -9*v - 6. Let p(w) = d(w) + 12*t(w). Let a(x) = 1. Determine -6*a(o) - p(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 1972.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 4*d - 47, 3*w - 14*d = -16*d + 35. Solve -4*p + w = 3*h, 8 = 3*h - 3*p + 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -207 + 208.37. Let d = -1.33 + j. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -12*i**3 - 225*i**2 + 561*i - 126 = 0.\nAnswer: -21, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050872 is divided by 175?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -z - 2*y, -z + 12 = -4*y. Let s(l) = 3*l**2 + 12*l + 14. Let t be s(-2). Solve t*u - 6 = -z*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359*v + 1355*v = 24 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1995695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 4. Suppose -4*c = -2*u + b*u + 14, -u - 1 = -c. Let v = -1 + 6. Sort 3, v, u in decreasing order.\nAnswer: v, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 71*l**2 + 38*l**2 + 46 - 45 + 37*l**2 in the form z + n*l + k*l**2 + h*l**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 22*v**2 + 49*v. Let j be x(24). Let f(n) = -112*n**3 - 24*n**2 + 40*n + 152. Let k be f(j). What is k rounded to the nearest ten thousand?\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x - 18*x + 7*x - 433 - 4*x to t*x + c and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n = 30*n - 5*v + 705, 2*n + 3*v + 302 = 0. Which is greater: -113 or n?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - y - 5)*(2130 - 2130 - 7*y) to the form n + f*y**2 + z*y and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50380523 + 3963?\nAnswer: 50384486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 14 = 4. Suppose -1 = k - 8. What is the least common multiple of k and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1165 + 60*n - 1165 to z + f*n and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1718613*g - 10226*g + 3.\nAnswer: -1728839*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let s be 49\/(-15)*1 - -1. Let f = s + 8\/3. Which is the second biggest value? (a) p (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 69 - 139 + q**2 + 75. Determine u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -807 times -272?\nAnswer: 219504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/7, 4\/63, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65977472240 - 0.5.\nAnswer: 65977472239.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 6:59 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/22*(1\/9 - 1)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 15 + 5. Suppose -s = s - u. Suppose 15 = s*p + 5, -3*j - 13 = -2*p. Is j greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -595.4 + 38.4. Let w = l - -559. Is w at least 183\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from hgpohqqhhohuuqh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 2*h - 5, 0 = -2*p + h - 3. Let n = p + 6. Suppose 3*u + 3 = -3*g, 0 = n*u + 2*u - 4*g - 36. Solve 0 = -u*y - y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ba - 4?\nAnswer: -3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -115, -347, -807, -1573, -2723, -4335, -6487?\nAnswer: -9257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a hour in seconds?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85 in -6\/11, -0.5, 9, 9304?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3492 and 252?\nAnswer: 24444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*t**3 + 16*t - 8.\nAnswer: -522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*y - 23 = 0, -2*l - 17 = -3*l - 4*y. What are the prime factors of (50\/15)\/(l\/6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**44))\/(s*s**(4\/3)\/s*s*s)*(s**(-11))**(-3\/11) assuming s is positive.\nAnswer: s**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148976223.\nAnswer: 3, 11, 4514431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 30 = -3*q. Let t = q + 6. Suppose -j + 1 + 5 = t. Solve -4*k = -k - j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9670 divided by 4\nAnswer: -4835\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -60237a (base 16) to base 14\nAnswer: -ba0186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -706*s + 1411*s - s**3 - 707*s - 45*s**2 in the form k*s + i + f*s**3 + p*s**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -20*d**2 + 11. Give z(3).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24772950 divided by 110102?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -231*i**5\/20 - 755*i**4\/12 + 287*i**2. What is the second derivative of p(m) wrt m?\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d = -3*z - 4, 0 = 5*z + 3*d - 4. Suppose -42 = -b - z*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1518980073 to the nearest integer?\nAnswer: 38974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 + 224. What is z in 2\/3 + w*z**2 + 22\/3*z - 54*z**5 - 18*z**4 + 36*z**3 = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -17.8. What is the closest to -6 in z, 0, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5120162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from bbbbbbbbmm?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 2. Let b(v) = v**2 + 6. Let j be b(0). Let o = j - 3. Let d be -1*(4 + -1) - o. Calculate l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010010 (base 2) to base 6.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 40 = -2*m. Let g be m\/(-2)*(-1)\/(-2). What are the prime factors of (-142)\/g - (-2)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -34*j**3 - 20*j**2 - 12*j + 7. Calculate q(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 + b**2 - 2*b + 1. Let q(n) = -15*n**3 + 6*n**2 - 10*n + 6. Let a(x) = 11*d(x) - 2*q(x). What is the tens digit of a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78264, -78621, -78978?\nAnswer: -79335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-2 + (-18)\/4). Let y be 26\/z - (-2)\/3. Which is smaller: y or 3\/14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 6*z + 4. Let d be f(6). Suppose -58 = -d*w - 42. Suppose -w*v - v = -135. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 50.3. Sort y, 0, -2, 0.2 in descending order.\nAnswer: y, 0.2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -507?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 10, 2, -68\/23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2 - 3*o + 7. Let x be q(3). Let k = 2 + x. Let l = k - -114. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -307565*o**2 + 953617 wrt o?\nAnswer: -615130*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 2 + 0*l**3 + 1\/24*l**4 - 1\/2*l**2 + 0*l. Let q(u) be the second derivative of k(u). Let g(f) = -f. What is q(g(s))?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/6)\/(-9))\/((-21)\/336).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f - f)*(11*f**4 - 8*f + 8*f) + 4*f**5 - f**5 - f**5 + (-14*f**4 - 8*f**4 + 18*f**4)*(-f - 2 + 2).\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 438\nAnswer: -175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h - 4. Give u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) + (-44)\/(-165). Do y and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 5*q, -4*q - 1 = -2*t + 3. Suppose -2*v - 200 = -t*v. Suppose 0*c = 5*x - c - v, 3*x + 2*c = 43. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 839929 divided by 6\nAnswer: 839929\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1406 + -395. Suppose -540 - n = -3*r. Is 47 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (410\/536)\/(1\/2). Let x = -2\/67 + a. Let b = 0.028 + 0.372. Sort 0.05, x, b.\nAnswer: 0.05, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = 10*q + 12, 2*v + q + 5 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 66\/12*-1*126\/63\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7319 and 910533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17 + 422)\/(2\/4)?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 14?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v, 4 + 11 = 5*k - 5*v. Solve 0 = -2*c + c - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.01 + 2. Let i = -0.03 - p. What is i rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3100\/7, -0.2, 0.046?\nAnswer: -3100\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 240\/(-110)*(-27)\/6 + -10. What is the third smallest value in 1, -0.569, 4, s, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 507679 and 207?\nAnswer: 4569111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.35 from -5.086.\nAnswer: -5.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (314 - 515 + 303)*(2*p - 14*p + 38*p) as z + b*p and give b.\nAnswer: 2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -143*j + 55. Let d be k(-10). Let x = d - 7393\/5. Put x, -0.5, 3, 0.1 in descending order.\nAnswer: x, 3, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.47826*-5\nAnswer: -12.3913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.8 - 1.8. Let p = 21.64 + -9.84. Let n = p - m. Sort n, 0.4, 7 in increasing order.\nAnswer: n, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22474 - 15701. Suppose -3*d - g = -16*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1401 - 1397. What is the nearest to 1 in j, 3, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u. Suppose -26 = -5*b + 4. Suppose u = b*v - 2*v - 40. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 631589711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*n + 11*n - 220 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7299 (base 13) in base 5?\nAnswer: -1001333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/(t**(-2)*t))))**(-42)\/(t\/t**(1\/10)*t**(-2)) assuming t is positive.\nAnswer: t**(-1249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 0 + 17\/8. Which is the third smallest value? (a) r (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b + 0 + 7 - 7.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 227453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.009 + 2.8301387\nAnswer: 2.8211387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 528, 919, 1172, 1281, 1240, 1043?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 = -604*u + 3231 + 804 - 786 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -139*l. Suppose 0 = 204*b - 221*b + 102. Let k(h) = -16*h - 6. Let n(w) = -3*w - 1. Let u(j) = b*n(j) - k(j). Calculate u(t(s)).\nAnswer: 278*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2, 314731, -1\/7, 0.3 in descending order.\nAnswer: 314731, 1\/2, 0.3, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 146? (a) -1\/2 (b) 0.33 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (((-132)\/(-14))\/(-11))\/((-12)\/25676)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*c - 19 = 13, 3*b - 38 = -2*c. Suppose -7*r + 70 = b. Solve -r*i + 11 - 19 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from qffxovjxoxvf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66508 is divided by 289?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 607616 and 1600?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x - x - 1)*(-2 - 2 + 2) + (-5 + 5 + 1)*(-15901 - 111*x + 15901) - x + 2 - 2.\nAnswer: -106*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 2 - 9*j**2 + 0 - 2*j**3 - 2*j**3 in the form i*j + a + k*j**2 + b*j**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61262, 61302, 61368, 61460, 61578, 61722, 61892?\n\"Answer: 13*l**2 + l + 61248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssiisdis. What is prob of picking 3 s?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.3 (b) 0 (c) 4\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159947742 divided by 26657957.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12781840 divided by -159773.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(3\/4)*g))\/g*g**(2\/5)\/g)\/(g**(-1\/27)\/((g\/((g*g**(-4\/3)\/g)\/g))\/g)))**(-2\/171) assuming g is positive.\nAnswer: g**(-11\/46170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**3*l*(l*l\/(l*l**(-2\/7)))\/l*l*l*l*l**(-1)*l*l*l**(3\/5))\/(l**4*l**(2\/7)*l**4*l\/(l\/l**(-1\/8)*l*l)) assuming l is positive.\nAnswer: l**(-91\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307630 is divided by 9920?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19106\/11213723 - -4\/5399. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1617 + -19387\/12. Find the common denominator of u and 55\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqw when three letters picked without replacement from {f: 1, l: 2, w: 1, q: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -12913032200 to the nearest 1000000.\nAnswer: -12913000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m**2 + 2*m - 18*m**2 + 0*m. Let z(t) = 182*t**2 + 189*t - 92*t - 183*t**2 - 97*t. What is z(i(y))?\nAnswer: -841*y**4 + 116*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*p**3 + 274*p - 510548?\nAnswer: -147*p**2 + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15613?\nAnswer: 13, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {p: 3, u: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.311 - -135.311. Let q = 30 - g. Let i = -104.99999781 - q. What is i rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h + 32. Calculate the lowest common multiple of o(4) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = -5*o + 8, -c - 4*o = -7. Suppose 16 = -c*r - 2. Let l = r - -27. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-9)*x))\/(x**(1\/4)\/x)*(x**8*x)\/(x**(-5)\/x) assuming x is positive.\nAnswer: x**(103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i + 40. Let a be 137\/9 - i\/(-45). Let t = a + -5. Calculate the lowest common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 7. What is the second smallest value in -2, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = 6. Let h be ((-14)\/q)\/((-2)\/(-9)). Is 2\/(-1 - h\/(-19)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11279, -45101, -101471, -180389?\n\"Answer: -11274*d**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjccgffcgw. Give prob of sequence jgg.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - j = -17, -j = -0 - 5. Let s be 2 - (8\/n - 0). Let a(z) = z**3 - z + 18. What is the tens digit of a(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 57.\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 - g**2)*(-5*g - g + g) + 38*g**3 - 34*g**3 + 2*g**2 - 10*g**2.\nAnswer: 14*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.499 + -0.779. Let q = -0.28 - t. Let x = 36.0034 + q. What is x rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1347 - -1389. Calculate the highest common factor of 66 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312127 is divided by 109341?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 3 + (-34 + 35 - (0 + -18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1190, -1191, -1194, -1199, -1206?\n\"Answer: -c**2 + 2*c - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.5 - -62.1. Let x = -29.7 + o. Which is the fourth smallest value? (a) 2\/9 (b) x (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -86, -91, -82, -59, -22, 29, 94?\n\"Answer: 7*c**2 - 26*c - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -283048.03 rounded to the nearest one hundred?\nAnswer: -283000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + x - 2. Let u be j(-2). Let k be ((-21)\/(-12))\/((-5)\/u). Suppose -2*z - 2255 = 5*r, 3*z - 5*r + k*r + 3366 = 0. Round z to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcc. What is prob of picking 1 c and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*y + 3 = 0, -p = -5*y + 3*y + 2. Suppose p = g - 2*f - 70, 4*g - 57 = -5*f + 197. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 34. Let i be w(9). Let n = 35 - i. Solve 4*o - n = p + 3*p, -5*p - 14 = 2*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, f: 1, i: 3, d: 5, z: 1, l: 2}. What is prob of sequence daii?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1403551 (base 6) to base 4.\nAnswer: 103030123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4\/2 - 21*n**3\/2 - 9*n**2\/2 + 69*n\/2 - 21 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*q + 5*j, -q + 12 = -0*j + 2*j. Suppose -3*o = -o - q. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Suppose z = 7*u - 6*u. Suppose u*o + 3*d - 113 - 9 = 0, 26 = o - d. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + -4 + 3 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1. Let l(t) = -t**2 + 3. Let s(i) = -l(i) - 3*v(i). Let z(h) be the third derivative of -3*h**5\/20 + h**2. What is z(s(o))?\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -709*n - 20551. Calculate l(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59981 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234944048*o**4 + 1706047*o**2?\nAnswer: 5638657152*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 f when four letters picked without replacement from {s: 3, f: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*z**2 - 487 + 4*z**2 - 27*z**2 + 487.\nAnswer: -73*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 740423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 7 - ((28 - 0) + 2). Let y = -5 - k. Let 44 + y*u + 6*u**2 - 4*u**2 + 54 = 0. Calculate u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Suppose 0 = 2*t + 5*o - 25, -t - a*o = -5*o - 2. Solve -t*c + c = 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**3 + 5*o**2. Let s(n) = -4*n**3 - 3*n**2. Let i(u) = -5*s(u) - 3*t(u). Let w be (-48)\/26 - 4\/26. List the prime factors of i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, l: 2, f: 3, q: 8, r: 2, j: 1}. Give prob of picking 2 q, 1 f, and 1 j.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 886743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -62569.\nAnswer: -58\/62569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 362445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8484, -8992, -10346, -12966, -17272, -23684, -32622?\nAnswer: -44506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121680396 and 5.\nAnswer: 608401980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/8 + 32457*i**2\/8 + 2228655*i + 628622709\/2.\nAnswer: 3*(i + 286)**2*(i + 10247)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142272, 284566, 426872, 569196, 711544, 853922, 996336, 1138792?\nAnswer: 1281296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1074?\nAnswer: -214.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/232 and 43\/8468?\nAnswer: 16936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 8}. What is prob of picking 3 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 3:00 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 171*y - 689. Give i(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 499773683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 6*g**2 - 2*g**2 + 901*g - 75*g**2 - 901*g - 14*g**2 + 2*g**2 - 9*g**2 + (4*g - g - g)*(-2 - g + 2) to o + y*g + v*g**2 and give v.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05224 + -0.03894. What is the nearest to -1 in -4, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - 4*c**2 - c + 13. Let i(g) = -4*g**3 - 5*g**2 - 4*g + 12. Determine -2*i(q) + 3*j(q).\nAnswer: -q**3 - 2*q**2 + 5*q + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -631 - -633. Find t, given that -18*t**2 + 9*t**2 + 0*t**q - t**2 + 5*t**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -14. Let y be 1227\/7 + 1 - (-4)\/v. What is the highest common divisor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -165783 - 196?\nAnswer: -165959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2 + 7\/4). Suppose b = 4*o + 277, -h*b - 203 = 4*o + 49. What is the units digit of o\/((1 + 7)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22605 and 1375?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/3072 - 303\/(-240).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*124\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*g + 5, -12*g + 11*g - 10*d = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:49 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 224 = 139 - 125 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1682 - -1162. Let s = r - -520.000000813. What is s rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k + 65 = -29*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*x**2 + 32*x - 15*x - 25*x)*((0 - 2 + 4)*(-2 - 2*x + 2) + 0 + 0 - 3*x) in the form a*x + c*x**2 + n*x**3 + w and give c.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*o**5 + 14*o**5 - 19*o**4 + 10*o**5 + (-4*o**3 + 10 - 10)*(2*o**2 + 4 - 4).\nAnswer: -6*o**5 - 19*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 41. Let b = o - -33. Suppose -3*f = b - 13. Solve 4*p - 12 = 6*w - w, 3*p + f*w = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 - (305 - 278)) + (1 - 1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 13 + 13 + 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) - (1 + 11\/(-9)). Suppose p = -10*t + 9*t + 569. 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 prob of sequence qv when two letters picked without replacement from vsvzsvqzvvqbpvz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 6)\/(((-32)\/(-1470))\/8). Suppose -h = 5*x - c - 160, 4*h = -20. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 313315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 235\/36 - (-2)\/9 and 2*((-2)\/(-4) - 49\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266 - 160 - 108 - 11)*(-3*f - 8*f + 2*f + (-2 + 2 + 2*f)*(-4 + 1 + 1)).\nAnswer: 7085*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 37 = 13*f. Let a(h) = -5*h**3 + 2*h**2 - 7*h - 1. Let b(k) = -7*k**3 + k**2 - 8*k - 1. Let r(o) = 3*a(o) - 2*b(o). Give r(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4287? (a) -2.2 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3\/14*b**4 + 4\/21*b**3 + 2\/35*b**5 + 0*b**2 - 257 + 0*b. Determine q so that j(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 40.6. What is the nearest to -1\/6 in k, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - (-90 - -100)) + 14.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 10, 24, 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 8, y: 4}. What is prob of sequence st?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/6, 97.422 in decreasing order.\nAnswer: 97.422, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/3838 and -119\/156?\nAnswer: 299364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -47, -67, -85, -101, -115?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -3\/8, 129299 in increasing order.\nAnswer: -13, -3, -3\/8, 129299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65061 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -407 - -425. Let a = 756 + d. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 + 316?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3826*t**2 + 7658*t**2 - 3830*t**2. Let b(w) = w + 5087. Give b(c(p)).\nAnswer: 2*p**2 + 5087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 37 = 58. What is the closest to 0.08 in b, -5, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65 + 25 - -25) + 2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 6*r - 19. Let u be m(-3). Is (-5 - u\/6) + 5794\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 5\/3, -3 in descending order.\nAnswer: 5\/3, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-3) + 1\/3. Suppose -2*t - 2*k = -0*k, 5*k = r*t + 36. Let x be (-5)\/(-3 - (0 - 2)). Put x, t, 4 in descending order.\nAnswer: x, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -8. Let f be ((-1)\/n - -1)*3. Put f, 0.1, 5 in increasing order.\nAnswer: 0.1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(-4)\/8)\/(-30). Let h(p) be the third derivative of 0 - x*p**6 - 2*p**2 + 0*p + 0*p**5 + 0*p**4 + 1\/6*p**3. Differentiate h(l) with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c**3 + 21*c**3 - 5*c**4)*(21 - 34 + 50)*(-8 + 1 + 1).\nAnswer: 1110*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 - -164. Let x be -1*((-27)\/3 + 3). Suppose -3*s = -x*s + 27. Calculate the lowest common multiple of s and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*i = -g + 29, -2*g = -4*i - 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563003 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3 + 11, -3 = x + 2*w. Suppose -x*p = -2*p - 15. What is the second derivative of -5*g + 3*g + p*g**5 - 6*g wrt g?\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 + 1655631?\nAnswer: 1655659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = -12. Let j be c\/4*6\/(-1). Suppose j*l = -l + 3*t + 29, 19 = 5*l + 2*t. Solve q + 2*q + 11 = -l*s, -5*q + 5*s + 35 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r + 2*o - 3*o, 4*r + 2*o - 32 = 0. Let f(j) = -5*j. What is the remainder when f(-3) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**7\/2520 - j**4\/6 + 3*j**2. Let c(r) be the second derivative of w(r). Let h(f) = -3*f**2. What is h(c(u))?\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11808 - 11794. Let f(g) = -2*g + 4. Calculate the least common multiple of r and f(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -60.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:03 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 803440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 38*a + 1238. What is the smallest common multiple of 100 and l(-26)?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w = -2683 + 18323. Is w a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 664, 1416, 2164, 2908?\n\"Answer: -2*c**2 + 758*c - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.1. Let s = -0.1 + 1.1. Put s, -5, p in descending order.\nAnswer: s, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:44 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 4 - 5) + 18 + -3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -866 and 57932 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oywyyyyyyyywwwyswyy. What is prob of picking 2 s and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74284950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-27)\/2*24\/495*845\/3380.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 108*y**3 - y + 32*y**4 - 87*y**3 - 29*y**4 to g + x*y**4 + i*y + s*y**2 + v*y**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003626 rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 16*z - 113. Suppose 21*s + z*s - 484 = 0. Calculate the remainder when 252 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 1 - 32. What is the third derivative of -v - 5816*g**6 + 5792*g**6 + 37*g**2 + 2 wrt g?\nAnswer: -2880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*a**2 + 42*a**2 + a**2 + 35*a**2 to p*a + z + f*a**2 and give f.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021 (base 3) in base 14?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 34*d - 18 = 0. Suppose 0 = 3*x - d*f - 999, 2*f - 4 = 4*f. What are the prime factors of x?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 + 2. Let p be (-4)\/(-6) - 14\/3. Let h be (-2)\/5 - 1792\/(-3360). What is the closest to j in 2\/13, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-1\/78)*i**(-3\/5)\/(i**(2\/13)*i)*(i\/((i*i*i\/i**2)\/i))\/((i*i**(3\/5)*i)\/i*i)*i*i**1*i**(-6)\/i assuming i is positive.\nAnswer: i**(-251\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 19185. List the prime factors of q\/15 + 2*1\/(-6).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*c - 108*c - 2*b - 21825 = 0, 3*c - 65475 = -4*b. Is c a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 27*s**7\/35 - 91*s**4\/12 + s**3\/3 - 462*s**2. What is the second derivative of w(m) wrt m?\nAnswer: 1944*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*19*(-14)\/(-1330).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 9. Let u = x - -9. Suppose -m + u = m. Which is smaller: -1\/6 or m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 18*p = 5*p - 16*p. Solve p*g = 32*g + 32 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.58 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.7 + -18. Let y = 1.2 - p. What is the smallest value in -2\/11, 1, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2814 divided by -2?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*sqrt(99)*-1)\/(-2*sqrt(9)*-1) - ((sqrt(33)\/sqrt(3) + 0 + sqrt(396)\/sqrt(4))*3 + 3))**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/2))**(2\/45)\/(((q\/(q\/(q*q*q**(-1\/8))*q))\/q)\/(((q\/(((q\/(q\/(q\/(q\/(q**(-1\/4)*q)*q*q)))*q)\/q)\/q*q*q))\/q)\/q)) assuming q is positive.\nAnswer: q**(-37\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u + 25. Let s be h(0). Suppose 18*v - s*v = 0. Solve v = -2*k + 6*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:48 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*d**3 - 1083*d**3 + 491*d**3.\nAnswer: -115*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -15. Suppose 10*b + d = 11*b. Let z = b - -1. Solve 2*r + 2*c - 4 = -3*r, 0 = r + 5*c + z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 3*h - 2. Let a(q) = -q**2 + 10*q - 12. Let p be a(9). Let w be z(p). What is the units digit of 5 - (w + 4) - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-14))\/(4\/((-24)\/(-33))). Suppose -3*c + 17 = 2*s, 5*s + 2*c = c + 10. Let w = -1 + s. Which is greater: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 552\/7. What is the third biggest value in -0.2, r, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 202 = 3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 2057.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30347 - -0.0446334132.\nAnswer: 30347.0446334132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/60 + 11*p**2. Suppose 3*w + 1 - 10 = 0. Let u(r) = 3 - r - w. What is y(u(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m + 4019 = 4*n + 50*m, m = -5. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (-1 + -4) - (35 - (-64 - -104))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 3*v = 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 1692b7a7?\nAnswer: 1692b7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 135 = 5*q, -59*d = -2*q - 55*d + 28. Calculate the lowest common multiple of q and 11754.\nAnswer: 47016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*(3\/(-6))\/(33\/66).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189893*o**4 - 551394.\nAnswer: 759572*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -27*d**6\/10 + 1449*d**5\/25 - 115*d**4\/2 - 1298*d**3\/15 + 131*d**2\/2 + 85*d - 9473. Solve v(f) = 0 for f.\nAnswer: -5\/9, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5 - 575*o**4 + 2901*o**3 + 575*o**2 - 2900*o = 0. What is o?\nAnswer: -580, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpyp when four letters picked without replacement from ypyyppyt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + 3 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 645366223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -67. What is the remainder when m is divided by (74\/3)\/((-9)\/(54\/(-4)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8.6. Let g be (-138)\/9 + 5\/15. Let o be (5\/g)\/(38\/12). Which is the smallest value? (a) o (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11 = -2*v + 4*v, 2*y - 24 = 2*v. Suppose -y = 3*w - 4*w. Calculate the remainder when (-2)\/(2 + 40\/(-19)) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**3\/f)*f*f**(-3\/5)\/f*f**(6\/5)\/(f\/(f*(f\/(f**0*f*f)*f)\/f)) assuming f is positive.\nAnswer: f**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:18 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 9*h - 18)*(-1 - 3 + 16) - 2 + 2 + 2*h - 4 - 3*h + 4.\nAnswer: -109*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67808 and 520.\nAnswer: 339040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 - 5*v**3 - 749*v + 0*v**3 - 5*v**2 + 6*v**2 + 741*v + 15*v**4 + 1 in the form r*v + j*v**4 + d*v**3 + u + m*v**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153 + 1122*q**3 - 2*q - 566*q**3 - 557*q**3 to s*q**2 + n*q + i + g*q**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1359 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 7*o**2 - o - 5. Suppose -12*r + 13*r + 3 = 0. Let n be 21\/9*1*r. Let m be d(n). Solve -3*w = -2*w + m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 10921, 0.4, -2 in increasing order.\nAnswer: -2, -0.3, 0.4, 10921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2872 + 2877. What is the fourth biggest value in 2, 15.2, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(960)*-3 - sqrt(960))*-2)\/(sqrt(132)\/((-4*sqrt(66))\/sqrt(6)))*4)**2.\nAnswer: 1310720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*i - 20, -22*i = 3*w - 21*i - 12. Solve 0 = -3*x - 4*p - 6 - 6, x + w = 4*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*3\/(-3)*-5. Let z(m) = m**2 - 6*m. Let q be z(f). Let t(n) be the third derivative of -n**6\/120 - n**5\/12 + n**4\/12 + n**3 - n**2. Calculate t(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441 - 7*p**2 - 441.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + (7 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3945*0.1\nAnswer: 0.03945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 1. Suppose 5*z - 4*o = -11, -3*o = -z - 0*z. Let u be s(z). Suppose 0 = 3*f + 3*v - v - 20, 20 = u*v. Let y(n) = 4*n - 3. Give y(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:58 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -744, -2, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2861*b**3*n + b*n**3 + 11814*n**3 + 2*n**2 wrt b.\nAnswer: -8583*b**2*n + n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39\/5 + -37\/5. Let m = -0.3 - -0.2. Sort m, k, -0.5 in increasing order.\nAnswer: -0.5, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 98. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/(p*p*p\/(p*p**(-7)*p)))\/(p**(-2\/5))**(1\/7) assuming p is positive.\nAnswer: p**(-383\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/15*4\/(-8). Let d(j) = -2*j - 2*j**3 - 1 + 2 + 2*j**2 - j**2. Let t be d(1). What is the third smallest value in t, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*y - 53*y + 7*y**3 + (0*y - 2*y**2 + 0*y)*(-3*y + 5*y + 0*y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 664 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 16. Let i(l) = l + 8. Let c(x) = 2*d(x) - 5*i(x). Calculate c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 1626430?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 187002 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 4:49 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2140*r - 70918 - 22477 - 28585 = 0 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1204, 2276, 4076, 6610, 9884, 13904?\n\"Answer: c**3 + 358*c**2 - 9*c + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 50*o + 647. Calculate a(-27).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142756731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 136*c - 2925. What is o(-85)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**7\/504 + w**6\/720 + 11*w**4\/12 - 39*w. Let y(s) be the third derivative of h(s). Suppose -4*q - 5 = q. Determine y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -194. Let i = 30 - a. What is the units digit of 2\/(-8) + (-1407)\/i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-38) + 184743\/(-15561) - -16.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/308)\/(24\/252)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-28) + 26\/7. Suppose 5*l - 37 = -3*v, -k*v - 4*l + l = -31. Let h = v + 0. Solve 0*o + o = h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1144 + -2331\/2. Calculate the common denominator of (-243)\/(-30) + 2\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n - 5. Let f(y) = 5*y - 4. Let h(o) = -o**3 - 14*o**2 + 13*o - 26. Let k(t) = -8*t + 89. Let s be k(13). Let m be h(s). Give m*f(b) - 3*l(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -195*((-7)\/126 + 536\/(-720)). Suppose 480 = 5*l - 0*k - k, 5*k = -5*l + 450. Suppose 0 = p - 9 - l. Calculate the highest common divisor of z and p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9539096 is divided by 2672.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 1050 = -6*i. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28573, 28572, 28571, 28570, 28569?\nAnswer: 28568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 72\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 792 = -3*n + 18186, -3*z = 3*n - 18963. What is the greatest common divisor of 96 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-30))\/((-2)\/(-42)). Solve i*u = -2*u - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 16. Let q be o(-7). Suppose 180 = q*z + 3*z. Factor 18*t**3 - 4*t**2 + z*t**2 + 2*t**4 + 22*t**2 + 54*t.\nAnswer: 2*t*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28593, 229319, 774159, 1835169, 3584405, 6193923?\n\"Answer: 28676*z**3 + z**2 - 9*z - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/4)\/(143\/572))\/(-11)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32737, -130943, -294617, -523759, -818369, -1178447, -1603993?\n\"Answer: -32734*z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 38 - (432 + -407)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {j: 1, a: 1, d: 2, m: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 1, d: 7, n: 6, x: 2}. What is prob of sequence ddx?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2445 = -35*b + 50*b. Solve 1 = b*k - 162*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*p + 157*p - 26*p)*(-3*p**2 + p**2 + 5*p**2)*(3*p - p - 4*p).\nAnswer: -1500*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28409\/19 + -1496. Let q = -1264 + 1263. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022705984?\nAnswer: 2, 15979781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-28 + 18 - -13) - -9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1737934473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9.1. Let r = 0.06 - 2.06. What is the closest to r in -2\/17, 0.1, z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + t = 5*t. Sort t, 10, -5 in descending order.\nAnswer: 10, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -764467\/25 - -30580. Let o = 10\/1473 + -23177\/14730. Find the common denominator of p and o.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33864096191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152 + -149. Suppose 0*l = n*b + 2*l - 292, -3*b + 293 = l. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (93 - 64 - 131)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*o + 10 = 0, 10 = -5*k + 4*o - 9*o. Let j be 12\/39*9\/24. Which is greater: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10201100210 (base 3) to base 5.\nAnswer: 4320124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 1 + 7. Suppose -h - 6 = -c*h. Suppose h*o - 2*o - 13 = 0. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2*(-4)\/68. Which is the second smallest value? (a) j (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 841 - 795. Sort 5, -3, x.\nAnswer: -3, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) -0.1 (c) -53.3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*t - 458 = 20*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z - 14*z = 2150. Calculate the highest common divisor of z and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -572, -573, -574, -575, -576?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65a0a0 (base 13) to base 11.\nAnswer: 1394709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14757984 is divided by 790?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 5*x - 5. Let z be v(6). Solve -3*w + 0*h + z = h, h = 3*w - 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3 + 2 - l**3 + 10*l**2 - 3 + 3*l - 8*l**2. Let v be g(3). Solve -v*y = -y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 18321136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11004, 39151, 84444, 146877, 226444?\nAnswer: 323139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 92 = -4*k, 70 = -3*k - 0*k + 2*c. Let p be ((-16)\/k)\/(8\/3). Factor 0 - 1\/2*d**2 + 1\/4*d**3 + p*d.\nAnswer: d*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdd when three letters picked without replacement from bddbddbgddgxdddvrd?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - ((0 - 3) + -94 + 105)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:09 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 265. Let l be j(15). What is the highest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1032*b**2 - 108 + 8*b + 1232 - 6*b with respect to b.\nAnswer: -2064*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Calculate g(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -979\/5 - -196. What is the closest to -3\/4 in n, -4\/5, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40626556 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/(p\/(p\/p**(-3))))**(1\/31) assuming p is positive.\nAnswer: p**(10\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2 + 22. Suppose -5*x = -i - 12, 3*x + 3 = -2*i + 6*i. Suppose 5*r - u = -5*p, p + 5*r = -2*p - i. What is the third smallest value in 3, p, 7\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:27 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037 is divided by 80.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*x - 35, 2*x + 0*q + 2*q = 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9 (b) 222 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.967 - -0.053. Let w = -0.22 + f. Let c = -2.3 + w. What is the third biggest value in 4, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21650, -43308, -64972, -86648, -108342, -130060, -151808?\n\"Answer: -x**3 + 3*x**2 - 21660*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(3\/10)))\/h*h\/(h*h**(-9)\/h))\/(h*h\/h**(-4))**47 assuming h is positive.\nAnswer: h**(-2733\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**3 - 15*r**3 - 7*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(5\/8))\/((2898\/90)\/23)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i + 3. Let w(k) = 11*k + 6. Let y(g) = -5*l(g) + 3*w(g). Suppose -6*h + 84 + 36 = 0. Suppose 6*n = n - h. What is y(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106567.143 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + s**2 - 4*s + 3. Give a(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-139)\/(-137) - (-5 - -8)*(-38)\/(-114)\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*y = 7, 3*n + 2*y + 2*y - 29 = 0. Let f(a) = -3*a - a + n*a - 4*a**2. Let o = 9 - 8. Calculate f(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4215433 or -4215424?\nAnswer: -4215424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 266*r**6 + 25*r**4\/12 + 2*r**3\/3 - 6820*r. What is the third derivative of h(k) wrt k?\nAnswer: 191520*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -1. Let t = 7.048 - 7. Let z = t - v. What is z rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + o = -3 - 22, 5*t = -o + 29. Let c(x) = x**3 - 6*x**2 + 2*x + 3. List the prime factors of c(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 3*n**2 + 7\/6*n**4 + n**3 + 8 + 3*n. Let u(w) = w**2 + w + 1. Give a(t) - 6*u(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 f, and 1 d when four letters picked without replacement from {f: 2, j: 2, s: 3, d: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1944)*-2)\/(sqrt(12) - (sqrt(12) + -2*sqrt(1200))).\nAnswer: 9*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3490*f**2*n**2 + 7*f**2*n - 149*f**2*q - 39*f*n**2*q - 3*f*n**2 - 64*f*n*q + 3*f + 2*n**2 + 2*n*q wrt f.\nAnswer: 6980*n**2 + 14*n - 298*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*t - 10, 62*t + r = 60*t - 7. What is the nearest to 6 in t, 2\/5, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.23 (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -971 by 971.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 10*n - 11. Let t be m(8). Suppose 2*h + 46 - 52 = 0. Solve 31 = 2*f + 5*p, -f + t = p - h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + -0.4. Let m = 4955 + -4958. What is the third biggest value in m, 0, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u - 6. Let y be u\/(2 + (-21)\/9). Let i(d) = d + 3. Calculate i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by 894\nAnswer: 73\/894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i = -21*i - 9158. Let j = i + -2893\/6. Calculate the common denominator of 29\/135 and j.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 3815 - 3615 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718, 2866, 6436, 11416, 17794, 25558, 34696?\nAnswer: 45196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + 3*s)*(-2*s**2 + 2*s**2 + s**2) + 2 - 2 - s**3 - 3277*s**3 - 179*s**2 + 179*s**2 - 328*s**3.\nAnswer: -3608*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, z: 1, o: 6, l: 1, k: 1}. Give prob of sequence kl.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 2452394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 + 175. Suppose q + 3*q + m - 15 = 0, 2*m = 2*q. Suppose j - 3*x + 3 = i, x = -5*j - q*x + 4. Solve j = -3*l + v + 9 + 3, 2*l - 8 = -4*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2569742*b - 2569742*b - 4*b**2.\nAnswer: -4*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-296 - -307) + (-3 - -8) + -3 - -86.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-10)\/30)\/((-16)\/(-2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + 0.4. Let w = -1 + j. What is the closest to 1 in 3, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = -b, 5*g = -0*g + 5*b. Sort -3\/5, 0.5, g.\nAnswer: g, -3\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.248 - 0.248. What is the smallest value in -4, 2\/7, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 160, -807, -2408, -4643, -7512, -11015?\n\"Answer: -317*b**2 - 16*b + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84314 + 146223. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - -6*sqrt(176)).\nAnswer: -5 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27037380 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 470121853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*v**2 + 3*v + 1.\nAnswer: (v + 2)*(5*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -0.3 (c) -2 (d) 26 (e) -2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10707985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -0.1, -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -4*w. What is the smallest value in -3, 5, w, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159245271 to the nearest integer?\nAnswer: 12619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197535485 to the nearest integer?\nAnswer: 14055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000040816 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14596020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (-2 + (sqrt(117)*-2)**2 + sqrt(117) + -4)*-5).\nAnswer: -4616 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-806.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55779?\nAnswer: 3, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 373375 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -7*k - 36. Let i be (-2 + -3 - k)*-4. Let v be 2*4\/44 - i\/(-77). Which is the third biggest value? (a) v (b) -1\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.352 in -0.4, -0.2, 3, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = -4*j, -5 = 4*w - 3*j - 23. Suppose -3*z = w*y - 48, -3*y = -4*z - 5*y + 72. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 35839.88cm?\nAnswer: 358398800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882529 is divided by 80141.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3700444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-6)*(-2)\/(4*(-9)\/108).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 + 10 = 5*w, -4*w = -20. Suppose 2*z - 12 = -3*g - z, 0 = 2*z - 8. Put g, 3, t in decreasing order.\nAnswer: 3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57868.\nAnswer: 2, 17, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 359*c - 2220. Calculate x(7).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67849.19 millilitres in litres?\nAnswer: 67.84919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 213.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a factor of 34863062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 13*w - 6. Let q be b(6). Let r = 53 - q. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 27, -36, -115, -216, -345?\n\"Answer: -g**3 + g**2 - 49*g + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2841.835 * 0.26.\nAnswer: 738.8771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2 + 1. Suppose -5*d + 0 + 2 = 2*a, 0 = 2*d - a - 8. Solve 0 = d*h - o*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/252)\/(((-147)\/(-252))\/1).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 7*o**2 - 63*o + 142. Calculate t(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/12)\/(-5)*234\/(-104).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 58.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 4:24 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*8.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:17 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 2. Let d be r(2). Calculate the greatest common factor of d and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -335, 4, 146, -1, -4, 3 in ascending order.\nAnswer: -335, -4, -1, 3, 4, 8, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 116 - 660. What are the prime factors of b?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 3 + 0 - (-13 - -16). What is the closest to 0 in v, 0.06, -14\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttlltttlttl. Give prob of sequence ll.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -3, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -309 - -308.5. What is the second smallest value in 3, x, -2.7, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 76. Let n(q) = -c*q - 27*q - q + 12*q. Does 21 divide n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 726497*u**4 + 552936*u + 2 wrt u?\nAnswer: 8717964*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 5. Let y be r(-9). Let m(l) be the second derivative of 0*l**2 + 0*l**3 - 9*l + 0*l**5 + 0 + 1\/120*l**6 - 1\/48*l**y. Find s such that m(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 1. Suppose 3*t - 149 = 5*x + 37, 0 = 5*x + 3*t + 174. Let i(l) = 12*l**3 - 36*l + 36. Give x*y(w) + i(w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*(28\/(-6))\/(760\/380)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 973 times 0.4\nAnswer: 389.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -165*k**3*n - 79*k**3 wrt n.\nAnswer: -165*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1276, 1275, 1276, 1279, 1284, 1291?\n\"Answer: v**2 - 4*v + 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6201 + -6205. What is the fourth biggest value in 0, -5, 0.11, -2\/13, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3022 (base 14) to base 15.\nAnswer: -26ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o*(o*o\/o**(-7)*o)\/o*o*o*(o\/(o*o*o\/o**(1\/4)))**8)**10 assuming o is positive.\nAnswer: o**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 9*x. Suppose n + 5 = 4*b, -3*n - 5 = 2*n. Suppose -b = -x*y + y. Is 2\/11 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 12 (c) -4 (d) 0.194\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 38*z + 1558. Give c(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.492 + 1\nAnswer: -0.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**3 + 4*c**3 - 15*c**3 + 4*c**3.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*z - 1\/5*z**3 + 0 - 4\/5*z**2.\nAnswer: -z*(z + 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47944, 47760, 47590, 47440, 47316, 47224, 47170, 47160?\nAnswer: 47200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2 - 5 + 2. Let i be 64\/34 + -2 + 76\/68. Let d(m) = m**3 - 2*m + 1. Give i*z(n) + d(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-3) - (-12)\/36. Suppose q*s + 3 = -s. Put 0.5, -21, s in increasing order.\nAnswer: -21, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -86, -9, -210 in decreasing order.\nAnswer: -9, -82, -86, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*j - 21, 2*j - 14 = -d - 0*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2 - 6*a + 3. Let o(g) = -3*g**2 + 3*g - 1. Let s(n) = 11*o(n) + 6*q(n). What are the prime factors of s(-6)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 828720*g - 18*g**3 + 828718*g + 0*g**2 + 2 to o*g + n*g**3 + b*g**2 + f and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -302, -279, -230, -143, -6?\n\"Answer: 2*a**3 + a**2 + 6*a - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118922641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*i - 5*z, 0 = i - 3*i + 3*z - 1. Let c(y) be the first derivative of -13*y**2\/2 + y - 3. What is the tens digit of c(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -96 - 42. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*f - 5*j, -f + 3*j = -2*f + 13. Let w = 0 - -4. Put w, 0, f in decreasing order.\nAnswer: w, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*y**3 - 50384790*y + 50384790*y.\nAnswer: -73*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 247838129 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1334 = -384. Let q = -125 + m. Suppose -c - 3*c = n - q, -4*c + 63 = -n. What is the remainder when 29 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -430\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796244?\nAnswer: 2, 137, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c950 - -5?\nAnswer: -3c948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21892386 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 71175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:58 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/n**(-2)*(n**0)**(16\/5))\/((n**0*n)**(-31))**9 assuming n is positive.\nAnswer: n**(1403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*z + 36*z - 4 + 10*z + 124*z - 50*z - 3*z**2 as m*z**2 + y*z + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2780037439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4567611.\nAnswer: 3, 17, 89561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**3 + 168*d**3 - d**2 + 4 + 2*d**3 - d**2 - 2 in the form o*d**2 + t + b*d + m*d**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/68 + 19\/136. Which is the nearest to 1\/3? (a) -5 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4319 is divided by 778.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**2*q*x - 146*l**2*q + l**2*x - 2*l**2 + 4*q*x**2 + q*x wrt x.\nAnswer: 2*l**2*q + l**2 + 8*q*x + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2143580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 203 = -213. Does 9 divide (25\/(500\/1008))\/(p\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 5:11 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/r)**(-23) assuming r is positive.\nAnswer: r**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -23. Let o be j + -2 + (-1 - 52\/(-6)). Let l = -5 + o. Is l > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -34*q**2 + 2*q + 2. Let s(b) = -441*b**2 + 27*b + 27. Determine 27*r(z) - 2*s(z).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5 + 2. Which is smaller: a or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10072 is divided by 5026?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 214796\/(-140)*(-2)\/4. Let m = c + -3801\/5. Find the common denominator of -103\/12 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*h - x + 25, -3*x = 5*h - 5. Let j be 2 - -15 - h\/2. Let n = -11 + j. Solve 0 = n*i + 3*p + 5, 2*i - 5*p + 8 + 27 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14127568963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 - 8*z**2 + 8*z**2 + (2*z - z + 0*z)*(2*z + 3*z**2 - 2*z) - 10*z + 10*z + 3*z**3 + 0*z**2 - z**3 + 0*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**7\/2520 - n**6\/720 - n**5\/40 + n**4\/8 - 4*n**2. Let d(l) be the second derivative of j(l). What is the tens digit of d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l**2 + 2\/5*l**5 - 2*l - 43\/6*l**6 + 18 + 0*l**4 - 3*l**3. What is the third derivative of i(q) wrt q?\nAnswer: -2580*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 83 + 62)*(-5*q**2 - 2*q**3 + 5*q**2).\nAnswer: -70*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 7*k - 1456. What is the common denominator of 60\/18*(-57)\/k and 101\/22?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155582231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 19374402\nAnswer: 5812320.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -60, -98, -160, -252, -380, -550?\n\"Answer: -l**3 - 3*l**2 - 4*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5890375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8595\/900 + 6\/30 - 9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 103 + 15 + 33 - 14*k + 25.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2514 - -4055. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213526.\nAnswer: 2, 241, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2\/5, -4, -84?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/3)\/((-2)\/246)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -0.9. Let t = 0.6 + b. Sort 5, t, 2 in increasing order.\nAnswer: t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 6*m**2 + 4*m - 10. Let f(t) = t**2 + 11*t + 3. Let w be f(-10). List the prime factors of u(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -36. Suppose 3*s + 5*z - x = 20, -4*z + 6 = -5*s. What is the remainder when 2 is divided by 0 - 2\/s*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, a: 2, n: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240\/(-16) + 2 + 20580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/3)\/((-130)\/(-20)). Which is the fourth smallest value? (a) -1 (b) -3\/7 (c) z (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -622.985365 + 623. Round z to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147983253.1 rounded to the nearest ten thousand?\nAnswer: 147980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 1\/2, 0.4, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/3 + 329456*m**2\/3 = 0. Calculate m.\nAnswer: 0, 164728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*2*1*sqrt(77))\/((sqrt(7) + (1*sqrt(7) - sqrt(7))*2)*2)*2)**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4812214 is divided by 740.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 4:16 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-78)*2*-2*1\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8514*v + 17027. What is k(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268461, 269000, 269539, 270078, 270617, 271156?\nAnswer: 271695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jja when three letters picked without replacement from aaajjaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16830 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54027*-0.085\nAnswer: -4592.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -88, -56, -8, 62, 160?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 539 times -1\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 1\/16*w**4 + 0*w**2 - 4 + 0*w + 1\/12*w**3. Factor x(i).\nAnswer: i**2*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f00b - -9?\nAnswer: -3f002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (216*q**3 + q**5 - 80*q**4 - 216*q**3)*(1 - 4 + 4).\nAnswer: q**5 - 80*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1422*f + 1422*f + 8*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o - 22. Let t(d) = -20*d - 46. What is 7*q(m) - 3*t(m)?\nAnswer: -3*m - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 5)*(0 + 0 + 2)*(c + c**2 - c)*(8 - c - 8)*(-49 + 49 + 13*c) to r*c**4 + b*c + m + h*c**3 + n*c**2 and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 205217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.626674333 to 4 dps.\nAnswer: 0.6267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(12\/(-4)) + 16. What is the units digit of c\/(-3)*(-8 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1495770 - 25777230 = 3*y. Round y to the nearest one hundred thousand.\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y - 1. Let q be x(1). Suppose 24 + 116 = q*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19*u**4 + 2*u**3 - 5*u + 53. Let z(m) = 9*m**4 + m**3 - 2*m + 26. Let b(q) = 2*v(q) - 5*z(q). Differentiate b(n) wrt n.\nAnswer: -28*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.890994 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*d + 9*d + 1552 - 1357 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 18. Solve -2 - 2 = -l*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 21*l - 1 + 7. Let v be f(-8). Suppose -v = -5*b + 107. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -10. Let l = -4 + o. What is the lowest common multiple of l and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/39))\/(((t*t**(-2)\/t*t)\/t)\/t) assuming t is positive.\nAnswer: t**(154\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -13. Let f = 8 + k. What is the smallest common multiple of 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349057 less than -2.165?\nAnswer: -349059.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/3 - 12446*y\/3 - 206600 = 0.\nAnswer: -12396, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/50 - 2) + 12\/((-120)\/406)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -288*d**2 + 104*d. Let c(p) = -32*p**2 + 12*p. Let u(o) = -52*c(o) + 6*i(o). Determine u(1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -2*m + 38 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-14)*(-434)\/62. Let v(b) = -24*b + 118. Determine v(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 - 12*w + 9. Let v(a) = 2*a**2 + 8*a - 6. Let b(m) = 5*j(m) + 7*v(m). Let u = -3 - 1. What is the units digit of b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:41 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348616427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 7*u**2 - 7*u + 11. Let a be x(-8). Find the second derivative of -7*g**a + 7*g**3 + g + 3*g**5 wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155175 <= 155175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 18 (b) -37 (c) 7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**7\/336 - f**6\/60 + 3*f**5\/160 + f**4\/24 - f**3\/12 + 3*f. Let p(v) = 0. What is v?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 14*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.336 + 161.336. Let y = h + -161.0000444. What is y rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00170476429 rounded to six decimal places?\nAnswer: 0.001705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 3*t + 2. Let d be r(7). Suppose -34 = -u + d. Suppose g - u = -3*g. Calculate the highest common factor of 80 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301899 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 5. Suppose 26*a - 25*a - 3*o = -11, 5*a + 16 = 2*o. Calculate r(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8296?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1527 = -2*d + 9500, -3*x + 11952 = 3*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 12:20 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 31. Suppose -284 = -4*u - n + 9, 154 = 2*u - s*n. Let k = u - -7. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 + 58*j - 10. Determine s(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21010320 - 200?\nAnswer: -21011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4478830 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 0*o + 0*o)*(8 - 3 - 2)*(-1 + 10*o + 1) + 15*o**2 - 7*o**2 + 13*o**2 to a*o**2 + c*o + u and give a.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, j: 5}. Give prob of picking 1 v and 3 j.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i - 282. Suppose 5*a - 3*m + 21 = i, 3*a - 2*m = 44. Suppose 4*p = a + 2. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b - 85?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -0.0818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.9 (b) -1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 2 (b) -5\/4 (c) -3.4 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05274 to three decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 394359845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124990 is divided by 143.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85, 138, 117, 22, -147, -390, -707?\n\"Answer: -37*r**2 + 164*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*s - 1699 + 241, 2*s = -f + 731. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126 - -131) + -1 + -12 + 11 + 26.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - d**2 + 6*d - 10. Let a be b(2). Let r(z) = -z**3 + 7*z**2 - 2*z + 8. Calculate the remainder when 157 is divided by r(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247138.412 rounded to the nearest one hundred?\nAnswer: -247100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*t + 15181 + 5591 + 2629 = 1155 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 - 41*l + 28. Calculate c(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 72 + 18 = -5*l, 0 = 5*b + 5*l - 40. Suppose 16*i = b*i - 3. Which is greater: 1\/28 or i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1374 - 1374. Let j(g) = -g**3 - 9*g**2 - 1. Let k be j(-9). Which is the second smallest value? (a) 2\/3 (b) f (c) k (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-48)\/(-9)))\/(3\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, 24, 5, -2 in ascending order.\nAnswer: -5, -3, -2, 0, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-319*w - 619 + 619)*(0 + 1 + 1).\nAnswer: -638*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 3*b = 5*m - 1, 5*b + 3*m + 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 3*r**2 - r. Let v be z(-2). Sort -9, v, -5, 3 in decreasing order.\nAnswer: 3, v, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 2*y + 6, 4*y = -n - 17. Suppose -p + 2*a = -2*p + 3, -p - n*a = -5. Is p at most 1\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 86 = -3*q + 70, q = 4*v - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1104592 by -31.\nAnswer: 35632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702*d = -714*d + 6912. What is the highest common factor of 2784 and d?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16214 divided by 11?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -538 or -863129\/1601?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 + 69. Which is the smallest value? (a) -5 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j + 1102528 - 173507 = -362011. What are the prime factors of j?\nAnswer: 2, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 10.3025.\nAnswer: 7.3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 893, 1, 30 in ascending order.\nAnswer: 0, 1, 4, 30, 893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*(96\/120)\/(1\/(-2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 195544 and -2687.6.\nAnswer: 192856.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(6)*6)\/(sqrt(8) - (sqrt(800) - sqrt(800)*2 - sqrt(800) - sqrt(800))).\nAnswer: 6*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 355*j**3 + 757?\nAnswer: 1065*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208))**2*-4 + sqrt(13) + (sqrt(143)*-3 - sqrt(143))\/sqrt(11).\nAnswer: -832 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 36 - 20. Is 9 a factor of (0 - (-1 - 1))*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 = 13. Let n(z) = 6*z + 5. Let c(g) be the third derivative of 7\/24*g**4 + 0*g + 0 + 3*g**2 + g**3. Give r*c(h) + 5*n(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 + 100*u - 20. Give t(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 21*o**3 + o**2 + 2*o + 1. Let g be k(-1). Let w be 96\/14 - 3\/g. Let b(j) = -j**3 + 9*j**2 - 5*j + 2. Is b(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(250) + 5 + 3)**2.\nAnswer: 16*sqrt(17)\/5 + 1617\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 3*b - 3. Let t(d) be the first derivative of 5*d**4\/4 - 4*d**2 + 8*d - 26. Give -3*t(z) - 8*v(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2045, 2727, 3409, 4091, 4773, 5455?\nAnswer: 6137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -660812, -660813, -660824, -660851, -660900, -660977?\nAnswer: -661088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.3 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = 0, -345 = 5*i - h. Let a = -69 - i. Suppose a = 6*u - 10*u + 608. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414353 (base 6) to base 15.\nAnswer: 9d70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 3*v**2 - 3*v**2 + 9*v**2 + 9*v**2 - 6*v**2 + (-2 + 5 - 1)*(-3*v**2 - v**2 + 2*v**2) + (3 - 5 + 4)*(-3*v**2 - 2*v**2 - 2*v**2).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - -12) + (-91 - -49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275 + 548 - 277 + 1432*k.\nAnswer: 1432*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 147, 503, 1065, 1827, 2783, 3927, 5253, 6755?\n\"Answer: -o**3 + 109*o**2 + 36*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 0*h)*(-5*h + h + 3*h) - 15 - 7840*h**2 + 20*h + 15687*h**2 - 7848*h**2.\nAnswer: h**2 + 20*h - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 46*j**2 + 14. Let q be a(9). Let f be (-1 + -23999)\/(q\/625 + -6). What is f rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 15 - 4*t**3 - 29 - t**2 to s*t**3 + d*t + q + b*t**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -60, 2, 11\/3, -2, -0.1 in ascending order.\nAnswer: -60, -2, -1\/6, -0.1, 2, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (30 - -21) + -25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1971*x + 5906. Give r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11940 is divided by 2111?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 29, 61, 105, 161, 229, 309?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-32) + (-34)\/(-8). Suppose p - h = 0, -2*p = 5*t - 20 - 198. Factor -12 + t*u - 33*u**2 + 15\/2*u**3.\nAnswer: 3*(u - 2)**2*(5*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 2}. What is prob of sequence mn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1101 - -1085 - (1 + -11)) + -2 + (-35 - 2)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 33456*p**4 + 139946444*p**3 + 279792528*p**2 + 139879538*p.\nAnswer: 2*p*(p + 1)**2*(p + 8363)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-5))\/((-4)\/(-50)). Suppose -2*i - 3*i = -z. Let x(y) = -y**2 + 6*y - 5. Let r be x(3). Sort i, 5, r in ascending order.\nAnswer: i, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**5 + 339*i**4\/4 - 2851*i + 3069. Differentiate v(r) with respect to r.\nAnswer: 20*r**3 + 1017*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.12246\nAnswer: 0.85722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s + 7*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6967 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 - 2*n - 1. Let c be (2 - 2\/(-2)) + -9. Let h be 6\/(-4)*c\/(-9). What is u(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2292565 divided by -4.\nAnswer: 2292565\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -1\/120*l**6 + 1\/24*l**4 + 0 + 1\/60*l**5 + 0*l + 2\/3*l**3 - 14*l**2. Determine p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 56. Suppose -2*t - 4*b = 3*t - 124, -b = k*t - 97. Calculate the least common multiple of t and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 325465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 717091 - 717085. Factor 1\/2*s**3 + 0 + 11\/2*s - a*s**2.\nAnswer: s*(s - 11)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 - -0.22. Let c = 0.89 + n. Let a = 1.4 + -0.4. Is a greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.36 from -239.8.\nAnswer: -239.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 782.815 - 0.815. Let j = o + -778. Which is the second biggest value? (a) 1\/3 (b) 52\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87232*v = -87266*v - 170. Let i(z) = z**2 - 5*z. Let y(l) = l**2 - 5*l + 5. Let p be y(5). Let x be i(p). Put -4, 41, v, x in ascending order.\nAnswer: v, -4, x, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*p - 47, -3872*y - 5*p - 22 = -3869*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 65*h**3 - 75*h**2 + 10*h = 0.\nAnswer: 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 49*s**3 - 5*s**2 - 4*s + 5. Is 67 a factor of y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + r**2 + 2*r**4 + (5*r**3 + 0*r**3 - 3*r**3)*(0*r + 4*r - 3*r) - r**4 + 2*r**4 - 2*r**4 - 27*r**3.\nAnswer: 3*r**4 - 27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/11))**(-38) assuming p is positive.\nAnswer: p**(-228\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (255\/(-9))\/(1559\/4677).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6743*o - 6740. What is s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 29, -70, 77 in increasing order.\nAnswer: -70, -14, -3, 29, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44.4 (b) 6\/11 (c) 3534 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -825 + 892. What is the remainder when g is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 58 = 4*v + 151, 2*v = 5*d - 51. Let x be (-138)\/v - 28\/6. Let z(r) = r**2 + 8*r + 3. Let a be z(-8). What is the closest to -1 in a, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 2*m**2 + 4*m - 72200000. Let t(n) = -n**2 - 23*n - 22. Let u be t(-1). Let y be l(u). What is y rounded to the nearest 1000000?\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 2, k: 1, g: 1, a: 2}. What is prob of picking 1 d and 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354514?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12641 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 58587383 and 58587386 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2868, -5737, -8606, -11475, -14344?\n\"Answer: -2869*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6545139 divided by -19\nAnswer: 344481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884*m = 1698*m + 30932 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 740\/3949 + -2\/359. Let j(g) = g**3 - 10*g**2 + 10. Let k be j(10). Suppose 0 = 3*y - 13 + k. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 98. Suppose 4*o - 2*d - 72 = s, 5*o - 140 = 5*d. Suppose -4*g + o = -g + 3*z, -2*z - 46 = -4*g. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a0c + -3?\nAnswer: -1a0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/72 + 19\/72. Let s be 12712\/(-3632)*10\/(-28). Suppose u*l**2 + 3\/4 - s*l + 1\/4*l**3 = 0. Calculate l.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 99*y + 188. Let a be m(-18). Which is greater: 41 or a?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -0.1, -8.6, -5, 86, 0?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 22 = -47. Suppose d*j + 4*x = 2, 0 = -j - 2*x + 4*x + 6. Is (-1)\/1 - (-2100)\/(j\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l - 2. Let s be (1\/5*l)\/(112\/(-140)). Suppose -4*h + 2*m = -6, 5*h - m = -3*m + 21. Which is the second biggest value? (a) h (b) s (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 909329 - -1?\nAnswer: 909330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9833000337*n + 9833000337*n - 27*n**3.\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 38*l**2. Let o(y) = -2*y + 8. Give r(o(q)).\nAnswer: 152*q**2 - 1216*q + 2432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from ccccppcc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.5 + 18. What is the third smallest value in -0.3, -8, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwsswviw. What is prob of picking 1 i and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*v = -s + 407*v + 15, 0 = 4*s - v + 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) 700 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0232 in -5, 12, -113?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3604 is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 448388365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/12)\/((-74)\/(-999)))\/(9\/6)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + -11 + 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1487640 and -83\/147840.\nAnswer: 23802240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -10 - ((3 - -1) + -28 + 4 + 26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -62*(0 + 6\/(-3)). Suppose x = -x + p. Suppose 18 - 63 = -3*c + 3*v, -x = -4*c + 5*v. What is the greatest common divisor of 104 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (252\/7)\/(-2)*3\/2. Let m = f - -32. Let q(a) = -35*a**2 + 2*a + m*a - 7*a. Let g(l) = -2*l. Determine g(q(h)).\nAnswer: 70*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81918 and 1525140?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 98 = -18, 4*t = 4*v + 12. Sort -5, 1, -12, 11, t in ascending order.\nAnswer: -12, -5, t, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((-1*(2 + sqrt(80) - sqrt(80)) - sqrt(80)) + sqrt(80) + sqrt(80) + 4 + sqrt(80)*-1)*-2*2 + -4)*5)**2.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 4, s: 2, d: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 5503412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**3 - 4*g**2. Let z = -127 - -135. Let j(i) = -11660 + 11660 - 17*i**3 - z*i**2. Determine -6*j(h) + 13*m(h).\nAnswer: -2*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 393357 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 5*g**2 - 3*g - 6. Let z(c) = -2*c**3 + 10*c**2 - 6*c - 11. Let q(r) = -7*i(r) + 4*z(r). What is the units digit of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1478 + 1.16. Round l to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -216*d + 604 + 44. Solve -3*w = 12, 2*c - d*w = 84 - 64 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-16) + (-1279)\/(-4). Let b be l\/7 - (20 + -22). Is b not equal to 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3378.49*-2.\nAnswer: 6756.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202310*s - 184356 with respect to s.\nAnswer: 202310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13884314, -13884317, -13884320?\nAnswer: -13884323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0513 (b) -611 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6230, -0.5, 3\/7, 2, -5.\nAnswer: -6230, -5, -3, -0.5, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -18*u + 2. Let w(i) = -9*i + 1. Suppose -10 = 4*h + 3*p, -12*p + 7*p = -3*h - 22. Calculate h*n(y) + 7*w(y).\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92.1 + -92.1001802. Round d to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 28*b - 5. List the prime factors of w(11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:26 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.090366 litres in millilitres?\nAnswer: 5090.366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -32934\/5 > -6586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34\/135 + -4\/27. Let u be (-50)\/120 - 2\/8. Which is the nearest to u? (a) 4 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*z**2 + 37 - 3*z**2 - 102*z**5 - 6*z**3 + 99*z**5 + 10*z**2 - 4*z wrt z.\nAnswer: -60*z**3 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127095 and 2775?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1475*a**3 - 2661?\nAnswer: -4425*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -11461 (c) 14 (d) -8 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 2:23 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - -6 - (-1 - -3). Let l(f) = -f**2 + 0*f**2 - 11*f + 1 + 2*f**2. Let b be l(z). Is b at most 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 60 = -11*r. Let p be ((-20)\/(-3))\/(-3 - r\/9). Let m be (-44)\/(-10) + (-128)\/p + 6. Solve -4*u = -m*a - 3 + 15, -u = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 83 - 2\/(14\/35). Find the common denominator of 6\/16*4\/y and 19\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1764 + -1744. What is the least common multiple of 1434 and r?\nAnswer: 14340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, x: 1, r: 2, m: 2}. What is prob of picking 2 x, 1 r, and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2. Suppose 68*p - 67*p = 0. Let j(h) be the first derivative of p*h + 0*h**2 + 1\/3*h**3 - 1. Calculate y(j(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 15562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 - 5*n. Let p be q(7). Let i = 21 - p. Suppose 4*j - 22 = -2*x, x - 2 = 2*j - i. Which is the closest to 0.1? (a) 1 (b) j (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.024 and 4553.859?\nAnswer: 4553.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196.2 + -196. What is the second biggest value in -4, -1, s, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 339*t = 3672 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 10\/9 (b) 0.5 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and 8299.\nAnswer: 257269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-21 + 9 + 24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/50 and 11\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + x + 7, 20 = z - 5*x + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-16840 + 16840 + 303*j**4) - 3*j + 3*j - j**4 + (0*j**4 + 0*j**4 + 3*j**4)*(-1 - 2 + 4).\nAnswer: 305*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.0671065 and -95214.598.\nAnswer: -95215.6651065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 1:46 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -29927\/3241?\nAnswer: -29927\/3241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2298609, 49, -5, -4 in ascending order.\nAnswer: -2298609, -5, -4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8952523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 3*i**8\/112 - i**5\/60 + 13*i**2\/2 - i. Let x(k) be the first derivative of o(k). Find the third derivative of x(v) wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -111, -175, -241, -309, -379?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 623566 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 2484255000\nAnswer: 2484255000.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from nnnnnnlnnnnln.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/21 - 4*c**3\/21 + 2*c**2\/7 + 16*c\/21 + 8\/21 = 0. What is c?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545*2.\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-6\/13)*(h**(-5)\/h)\/h)**41)**34)**9 assuming h is positive.\nAnswer: h**(-1216962\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 267297845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sslgseegls.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1927 + -475. Suppose 18*j - 6*j - a = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1716 - 3999*y**3 + 3397 + y - 1682 in the form w*y**2 + s*y**3 + a*y + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**6\/18 + 23*x**5\/6 - 235*x**4\/36 + 835*x. Factor z(w).\nAnswer: 5*w**2*(w - 1)*(w + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0 (c) -0.04 (d) 0.04 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3\/2, 0, -2\/11.\nAnswer: -3\/2, -0.2, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.6105 and 2.\nAnswer: -0.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 5*d - 801 = -625 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 5*l + 3. Let u be o(-1). Let p be u*(-9)\/(-60)*-5. Solve n - 2*n + 4*y - 12 = 0, -p*n - 9 = -3*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95bb (base 14) to base 15.\nAnswer: 79cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/4, 0, -6\/19, 1\/101, -0.3?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*r + 65*r + 1575 = 93*r - 771 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1312330 (base 5) to base 2\nAnswer: -110010101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + 2 - (1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -1\/60*q**5 + 1\/18*q**3 - 1\/3*q**2 - 3*q - 13 + 1\/18*q**4. What is t in j(t) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(7)*2 + -5 - (4*sqrt(1694))\/sqrt(2)).\nAnswer: 1 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*f + 2*b + 2*b, 0 = -4*f - 5*b + 10. Suppose 4*h - 8 = 4*i, 0 = -2*i - 4*h + f + 15. Is 6 a factor of (6\/9)\/(i\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k + 74. Calculate q(1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4806245550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170322370573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 7 = 3*v, 0 = -3*b + 1735*v - 1733*v + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x**3 - 10*x**3 - 22*x**3 + (2 - 3 + 0)*(3*x**3 - 3*x**3 - 3*x**3))*(0 + 1 + 1)*(-2 + 6 + 5).\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -298 + -7024?\nAnswer: -7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.785, 2\/15, -19, -178?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 56. Let i(k) = -k**3 + k**2 + 4*k - 2. Let g be i(a). Suppose -9*y = g*y + 121. Are -9 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 1, o: 1, z: 1, s: 1, k: 1}. What is prob of sequence bb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797375157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 112*q**2 + 2*q + 29. Is p(10) 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 {k: 3, m: 1, g: 3, e: 1, n: 1, o: 5}. What is prob of sequence knoo?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7640 and 3553555.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/(-34) - (2 + -7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*u = 8, -2*h + 4*u = -0*u + 44. Let j(x) = 2*x**3 + 31*x**2 + 40*x - 4. Calculate the lowest common multiple of (8\/20)\/(2\/220) and j(h).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 t when four letters picked without replacement from pqqzrqpzqpt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 * -27.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.5 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2008 - 845370\/421. Let y = 5900\/1263 + z. Is y greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 13) to base 3\nAnswer: -22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 23 = w, 0 = 2*m - 4*m - 4*w - 22. Suppose 0 = -y + 5, -s - 4*s - y - 10 = 0. Let v(q) = q**2 + 6*q + 5. Let d be v(s). Sort 5, m, d.\nAnswer: m, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -551, -2848, -6679, -12044, -18943, -27376, -37343?\n\"Answer: -767*u**2 + 4*u + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:17 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540 + 50 = -39*j - 619 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33346216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 505882303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -80256.097 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -51. Which is greater: a or -22?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2165156 and 264079?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 4, f: 7, s: 2, g: 3}. Give prob of picking 1 f, 2 g, and 1 w.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15\/2 (b) -5 (c) -20185 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 2*g**2 - 5*g**2 + (-3 - 2 + 3)*(-2*g**2 + 2*g**2 - g**2) + 2 - 2*g**2 - 2 - 782*g**2 - 58627*g + 58627*g)*(-5*g + 6*g + 0*g)*(-4 + 2 + 4).\nAnswer: -1562*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 3*y**5 - 2*y + (2*y**5 - y**5 - 3*y**5)*(1 + 3 - 2) + 0*y + 0*y - 2*y**5.\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x**2 + 11*x**2 - 6*x**2)*(3 + 0 + 0)*(3*x - 1 + 1).\nAnswer: 144*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-28)*(-132)\/9405\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -2\/11, 0.15, 0.1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -0.006036313.\nAnswer: -0.506036313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14974, 18672, 24828, 33436, 44490, 57984, 73912?\nAnswer: 92268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.94 + 8.9979. Round c to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 20 = 5*i + 5, -2*o = 0. Suppose 3*a + 4*h = 96, i*h - 78 = -3*a + 5*h. What is the highest common divisor of 252 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -270, -295, -342, -417, -526, -675, -870?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q + 51*q + 216 = 0. Let n be ((-6)\/q)\/(3\/8). Which is the closest to -2\/7? (a) n (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*y**4 - 160*y**3 - 940*y**2 + 400*y.\nAnswer: 5*y*(y - 10)*(y + 4)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*h**4 - 1\/3*h**2 + 0*h + 1\/3*h**3 - 1\/3*h**5 + 0.\nAnswer: -h**2*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4044877 divided by -3.\nAnswer: 4044877\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 0*l + l = 10, 5*l = 4*w - 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m + 4*k - 28, 3*m - 3*k = 24. Let s be (33 + 1)*(-3 + (-28)\/(-8)). Let t = s - m. Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/(-12)*(-1)\/(9\/36). Suppose -3*z + 768 = k*z. What is the lowest common multiple of 114 and z?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5427 divided by -9.\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 91, f - 89*p = -92*p + 67. Suppose j + 4*t - 12 = -32, 0 = 4*j - 4*t - 20. Let l = 8 - 5. Solve 4*y + l*x + f = j, 5*x + 13 = 3*y + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*r - 16 = 0, -4*g + 4 = -3*g + r. What is the closest to -8 in g, 2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g**3\/7 + 2094*g**2\/7 - 10784*g\/7 + 14208\/7 = 0.\nAnswer: 8\/3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -251874 (base 11) to base 16\nAnswer: -61177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10199, -8054, -5909, -3764?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -8 + 170. Let s = u + -73. Suppose s*t - 53 = 7*t. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 = -4*w - 5*i, 4*w - 63 - 553 = -4*i. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40155 divided by 474?\nAnswer: -13385\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 1, o: 2, g: 2, t: 5}. What is prob of picking 1 s and 1 a?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280209426*a - 43930*a**2 - 280209426*a.\nAnswer: -43930*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) -6\/11 (b) 5 (c) 1\/4 (d) 3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140*a**2 + 452*a**2 - 419*a**2 + 502*a**2)*(1 - 3 + 1).\nAnswer: -675*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 12*u - 4. Let y be w(-12). Let k = y + 2. Let t = k + 20. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10228 - 25?\nAnswer: 10203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 + 6 + 0*i - 4*i - i**2 + i**3 - 6*i. Calculate the smallest common multiple of b(7) and (-1*2\/3)\/((-3)\/45).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 144 - 102 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -1\/3*c**3 - 36 + 20*c**4 + 16*c + 0*c**2. Find the third derivative of g(l) wrt l.\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 17}. Give prob of sequence jd.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7572865 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(2 - 1) + 2117\/(-4599)*-21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 290, -3\/8, 0.1 in descending order.\nAnswer: 290, 3, 0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5069*l**6 + 2*l**2 - 2864*l wrt l?\nAnswer: 608280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -19*s**2 + 17*s - 115. Determine j(6).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((12\/(-8))\/((-9)\/6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -135, -1\/777, 20?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10624 = 10*l. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/5 - 73*x**4 - 726*x**3\/5.\nAnswer: -x**3*(x + 2)*(x + 363)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6075 - 3513. Let q = -1097 + r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2776791609 to the power of 1\/3, to the nearest integer?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 3*a - 15. Let d be k(-6). Let h(o) = 2*o**2 - 3 - o + 2 + 0*o**2 + 6*o**d. What are the prime factors of h(2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.03, -5, -2\/19, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (35 - 28 - -23 - 37)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**2 - 6*z**2 + 11*z**2 + z**5 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/12 and ((-741)\/190 + -5)\/(-10*5).\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44330 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 13. Let q be u(-11). What are the prime factors of (4 - 5) + (-160)\/q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0743 + 5.0743. Which is the biggest value? (a) 29 (b) q (c) -2\/17 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 2*a - 3. Suppose -15*m - 488 = -57*m + 520. What is the lowest common multiple of m and p(-4)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4181*j**2 - 407*j - 407. Let h(y) = -41*y**2 + 4*y + 4. Give -407*h(d) - 4*s(d).\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 40*j + 211. What is r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1559*l = -43168 - 33223 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - 2*l**4 + 2*l + (-3*l**2 + 2*l**3 + 3*l**2 + (2 - 5 + 4)*(-l - l**3 + l))*(-5*l + 5*l + l).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Suppose -3*w = 5*p - 22, -p + 3*w + g = -4. Suppose 5*u - 2 = 2*d + 6, 3*d + 12 = -5*u. Solve -3*b - 4*x = 18, b = -u*b - x - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2312333 + 2313?\nAnswer: -2310020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 3*a**2 + a + 6*a**2 - 2*a**3 as r*a + z*a**3 + l*a**2 + o and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42644511 to the power of 1\/2, to the nearest integer?\nAnswer: 6530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320b2 (base 12) in base 7?\nAnswer: 6622130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 277*v**3 - 12*v - 10. What is the units digit of u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2190, -6006, -12370, -21288, -32766, -46810, -63426?\n\"Answer: -p**3 - 1268*p**2 - 5*p - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dym when three letters picked without replacement from ffmffybmdd.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 331454 - -10?\nAnswer: 331504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i**2 + 3. Suppose -2*s = 4*z + s - 6, -4*z = -5*s + 10. Let c be d(z). Let r be ((-5)\/(-2))\/((-10)\/(-60)). Solve 6*a = c*a - r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*1087*1\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5245000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 - 12*z**2 + z + 7. Let s be h(-4). Is (-4006)\/(-6) + 2\/s*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46540*s + 24710 wrt s?\nAnswer: -46540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*y - 24. Is 2 a factor of y + (-3)\/6*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 414*m**4 + 8 with respect to m.\nAnswer: 1656*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0 (b) -3\/22 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*g + 18, 3*g + g - 8 = 4*t. Suppose -l = 2*l - 4*r - 76, -g*l - 4*r + 68 = 0. Solve -l + 9 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {b: 2, w: 2, u: 1, j: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 + 20*i. Let w(q) = -16*q**2 - 43*q. What is 13*c(j) + 6*w(j)?\nAnswer: 8*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*l + 106, -j - 5*l - 7 = 31. Let a = -21 - j. Let x(m) = 5*m - 11. Does 6 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.1680589 to one dp.\nAnswer: -132.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 926774 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -68 + (60 - 24 - 9).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66.2 + 66. Let k = -0.7 - g. Let o = 11\/14 - 15\/28. Which is the closest to o? (a) -4 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (0 - (1 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sxsxxussxssss.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21840 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39796 and 77.4.\nAnswer: -3080210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2521928*r**4 + 96*r**2 + 3596 wrt r.\nAnswer: -60526272*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-23)\/((x\/x**3)\/x*x) assuming x is positive.\nAnswer: x**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from nfggnnnnfgg?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 11:49 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 8*y**2 - 9*y - 3. Let z(t) = 15*t - 2*t + 82 + t**2 + 13*t. Let r be z(-4). What is m(r)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-3)\/(-192)). Let z = i - 61\/2. Let m = -0.01 + 0.08. Sort 4, z, m in ascending order.\nAnswer: m, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -1.1, -5 in descending order.\nAnswer: 0, -0.3, -1.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9152)\/89232)\/((-12)\/26)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9687687?\nAnswer: 3, 47, 127, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2968*t**2 + 275*t - 50. What is the units digit of x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + 44*(-6)\/(-24). Solve 0 = j*k - 28*k - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b + 57006. Let w(u) = -15*u. Calculate g(w(a)).\nAnswer: -120*a + 57006","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45791 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 101289?\nAnswer: -101274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233852391?\nAnswer: 3, 17, 1528447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-16) + 243\/(-4). Let q = z + 113. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94270.802 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -r + 21, 3*v - 4*r - 10 = 0. Let x = 5 + 2. Let f be (-2)\/x + (-60)\/(-14). Calculate the greatest common factor of v and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 453 + 203 = 2*m, -3*x - 478 = 2*x + 4*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - 0.3. Let n = -0.5 - -0.8. Let p = 77 + -77.2. What is the closest to p in s, n, 4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11342 - 33?\nAnswer: 11306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*i + 7150 + 830 = 342*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 1815 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8*l + 8 = 0. Let m(g) = 24*g + 4. What are the prime factors of m(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -19*y - 195. Let a(l) = -3*l - 30. Let r(g) = 13*a(g) - 2*x(g). Let c = 8 - 4. Let k(w) = -11*w - 4*w - w + c*w. Calculate k(r(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4831590231.\nAnswer: 3, 13, 283, 337, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199510 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 9*a - 5. Suppose 0*y + 6*y - 6 = 0. Let b be (-4 - -8) + y*4. Give k(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138687 divided by 46229\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**6\/135 - a**5\/90 + 47*a. Factor z(n).\nAnswer: 2*n**3*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 142*(-2 - 20\/(-8)). What is the highest common factor of 1207 and o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkkk when four letters picked without replacement from fkfkfkkkkkkmlk.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p + 25. Let t(d) = 4*d + 1. Let c be t(2). Solve -c = 2*a - m, 5*a + 2*m + 13 + p = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 35 = -9*n, 3*b - 8*n + 5*n + 9 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181640991*n**4 - n**2 - 3*n - 76546371.\nAnswer: -2179691892*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r*r**12)*r)*r*r**(-5\/6)\/r)**(-11\/2) assuming r is positive.\nAnswer: r**(-671\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 7*u - 1. Suppose -2*r = 2*q + 6, 2*q + 2*q = 3*r - 26. What is the tens digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**7\/420 - k**6\/180 + k**4\/12 - 5*k**2. Let w(d) be the second derivative of n(d). Find the second derivative of w(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:51 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**3 - 46*k - 717 wrt k?\nAnswer: 12*k**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101.6 + -6.6. Let c = n + -95.3. What is the nearest to 0.2 in -1\/4, -0.06, c?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337969271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 4:57 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*j - 101, -5*v + 55 = -4*j + j. Let c be 9\/(-6)*j\/6. Suppose -n = -c*n + 64. Calculate the remainder when 46 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7252752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 54 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 5*g + 7. Let y be v(6). Suppose -2*i + 6 = 3*h + h, y = h + i. Let m be -1 - -11*h\/26. Are m and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3 + 2*k**3 + 9 - 3*k**3 + 6*k**2 - 5*k. Let l = -340 - -345. Determine d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 4, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjmjmm.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:16 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49\/85 + 3\/17. Which is the biggest value? (a) 2\/5 (b) q (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71.69998927 - -71.7. Round t to seven dps.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2\/2 + 8950*f - 8010250.\nAnswer: -5*(f - 1790)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*b*j**3 - 59*b*j*l**3 + 11*j**3*l**3 - j**2 + 11*j*l**3 - 33*l wrt b.\nAnswer: 4*j**3 - 59*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o**2 - 13*o + 14. Let c be s(1). Solve -11*z = -14*z - c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 11*j**2 + 6*j**3 - 16*j**2 - 1 + 34*j**2.\nAnswer: 10*j**3 + 29*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -645*u + 50. Let y be f(-6). Suppose y = 3*a - 2851. Round a to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2\/15, 2\/9, 2\/11, -9 in descending order.\nAnswer: 13, 2\/9, 2\/11, 2\/15, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28834 is divided by 2866.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-4) + 27\/108. Let x(y) = -2*y**2 - 1. Calculate x(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51631.1 times 13\nAnswer: -671204.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2483545 to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-3 - -1) + 3. Let g be (-6)\/(-2 + h) - 0. What is the highest common divisor of 18 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -466012 (base 8) to base 10\nAnswer: -158730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29165 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-3))\/(5*-1). Let s be (5\/4)\/(54\/(-216)). Sort -3, h, -2, s in increasing order.\nAnswer: s, -3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 11*o + 30. Suppose 7*q - o*q - 320 = 0. Suppose -26 = -b + 5*z + 18, -5*b - 5*z = -q. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17897 + -17891. Suppose 0 = 6*k - 3*k - 12. Suppose -k*r + 2*v - 3 = -57, -3*r = 5*v - 73. What is the remainder when r is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7740, 15488, 23236, 30984?\nAnswer: 38732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + p**3 - 1 + 0 + 2 + 2*p**4 to the form y*p**3 + r*p**2 + x*p + i + g*p**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -103534 (base 9) to base 11\nAnswer: -42376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 925 - 885. Let c(n) = 25*n - 44. Let z(t) = 1. Let h(a) = c(a) + 4*z(a). Let q(b) = 2*b - 3. Calculate m*q(k) - 3*h(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 50*d - 74399. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8428 is divided by 1053.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6)*190\/78. Let s be 36\/39 + (0\/(-3))\/(-1). Let t = s + l. Is 0 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 2:09 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + 6*p**4 - p**3 - 3*p**4 + 9 - 2*p**2 as g*p**2 + i*p**3 + s*p + t*p**4 + x and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*i - 175*i**3 + 13*i**4 + 56*i**3 - i**2 + 67*i**3 - i**2 + 49*i**3 to the form j*i + m*i**3 + r + v*i**4 + c*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15fc + 7a?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 13*r - 18*r - 2241, -h - 4*r = -1127. 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 tens digit of 49358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k**(4\/21)\/k)))\/k)\/(k**(-7)*k)*(k**(-4\/7))**(-4) assuming k is positive.\nAnswer: k**(115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 871944509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**3\/2 - 7*c. Suppose 2*n = n. Let q(v) = -v - v + n*v. Calculate q(t(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*w**4 + 5407*w - 5407*w + (2*w - w - 2*w)*(-2*w**3 + w**3 + 3*w**3) to the form s*w**3 + f*w**4 + t*w + h*w**2 + m and give f.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11))**(-2\/15)\/(r\/(r**(2\/9)*r))**(-1\/52) assuming r is positive.\nAnswer: r**(257\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2244356 (base 7) to base 3\nAnswer: -112020012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - x = -5, -x = -5*t + 3*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:42 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*x + 17931004 + 17166533 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 35*c - 69. Let h be l(-9). Sort h, -1277, -5 in ascending order.\nAnswer: -1277, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 + 68. Let c = 97.99999937 + o. Round c to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -43. Let d be 3 + o\/3 - -2. Let t(r) = -r**d + 1 - 3 + 2. Let z(j) = -3*j. Give t(z(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -152221421 (base 6) in base 7?\nAnswer: -36060400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 52. Let y be ((-2)\/(-6))\/((2 + -6)\/108). Let m be (n\/6)\/(y\/(-12)). Solve j + 4*j - m = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + 0*l**2 - l**2 + 7*l**2 as h + q*l**2 + r*l and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsb when three letters picked without replacement from {l: 4, b: 7, z: 1, h: 4, s: 3}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1055*g**3*j**4 - 2*g**3*j + 27*g**2*j**2 + 1 wrt j?\nAnswer: 25320*g**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.058 less than -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 2*d + 3*d + 0*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8193 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - 2*t + 1. Let q be y(1). Let d(i) = i**q + i**2 - 2 + 4*i**2 + 6*i + 3. What is d(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w - 25 - 2 - 21 = 0. Sort 2, -1, 8, -21, w in decreasing order.\nAnswer: 8, 2, -1, w, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 8}. What is prob of sequence pp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1089 + -1086. Put x, -0.4, 321, 2\/11 in ascending order.\nAnswer: -0.4, 2\/11, x, 321","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112371847*h**3 - 279180321*h**2?\nAnswer: 674231082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-0.951.\nAnswer: -11.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxv when three letters picked without replacement from {x: 3, f: 1, v: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 + 24 = 0. Let o(a) = -a**3 + 4*a**2 + 6*a - 7. Determine o(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 13. Suppose 4*f = 8 + m. Factor -4*k + 2*k + 4*k**3 + 2*k**2 - 2*k**f - 2*k**3.\nAnswer: -2*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1773, -760, 253?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*(a\/a**(-13))\/a)\/((a**14*a*a)\/a**(2\/3)) assuming a is positive.\nAnswer: a**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 793 + -775. Solve 322*g - 328*g + t = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 251134 and 393094.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*n = -3*n + 42, -2*m + n = -27. Calculate the remainder when 712 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 15, z: 5}. Give prob of picking 1 z and 1 n.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a factor of 13434834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 140*t**3 - 20*t**2 + 52*t - 4. What is the tens digit of z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.038657 times 0.1514\nAnswer: 0.0058526698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274183222.\nAnswer: 2, 13, 49007047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + 13. Suppose -3*u - p + 166 = 0, -u - 2*p + p = -56. Calculate the remainder when u is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -t + 10, 4*t - d + 0 = 25. Suppose 3*q = -5*i + 3*i + 17, -4*i + t*q + 45 = 0. Solve 2*n + i = 4*l, -4*n + 0*l = 2*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:30 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((68\/51)\/(48\/9))\/((-27)\/(-120))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 27. Let n(s) = -s + 9. Let t(q) = -11*n(q) + 4*x(q). Calculate t(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*j + 29853, 18*d - 14*d = -28. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 2*y**3 + 6*y**5 - 5*y**5 + 0*y**5 + 3*y**5 + (-y**2 - 2*y**3 + y**2)*(3 - 3 - y**2) + 4*y**5 - 4*y**5 - 3*y**5.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 0*l + 2 + 2 - 5. Let y(a) = 2*a**2 - 6*a - 4. What is 4*p(q) - y(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 + 29 - (-585)\/63) + 16.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - 1013434*w + 1013434*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/6 (b) -1\/4 (c) 7 (d) -0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 12:49 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7108 + -7116. Which is smaller: b or -1\/824?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/2 - 225*y - 445\/2.\nAnswer: -5*(y + 1)*(y + 89)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 26. Let s(g) = -684*g - 314. Calculate -12*j(f) - s(f).\nAnswer: 684*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*d = 34, 4*f + 44 = -31*d + 27*d. Sort 52, 3, f in decreasing order.\nAnswer: 52, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22898, 22906, 22918, 22934, 22954, 22978?\nAnswer: 23006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2. Let f(j) be the first derivative of 35*j**4\/24 - 195*j**2\/2 + 27. Let r(s) be the second derivative of f(s). Calculate l(r(t)).\nAnswer: 1225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 - 7*k**3\/3 + k**2\/2 + 10*k - 34. Let b be h(-7). Let u be (b - 4) + 9\/3 + -2. Which is bigger: 2\/15 or u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + w - 1. Let d(n) = 45*n**3 + 5*n - 6. Calculate d(y) - 6*f(y).\nAnswer: 33*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*t - 43 = 0, 4*r + 104 = 70*t + 82 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 7*k**2 + 31*k + 88. Calculate g(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27b (base 13) to base 4\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/(10\/(-25))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0*n**10*(n*n*(n\/(n\/n**(-3\/2)))\/n)**13 assuming n is positive.\nAnswer: n**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - y**2 + 6*y**3 + 9*y - y**3 - 1 to the form m + v*y**2 + f*y**3 + t*y and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r + 6. Let j = -12 - -12. Suppose -4*x + 3*x + 1 = j. What is the highest common factor of r and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 19 = -5*x. Suppose 40 = b + x. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3645 rounded to two decimal places?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027 divided by -3?\nAnswer: -1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170704 is divided by 1016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -14975880?\nAnswer: 7\/14975880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/180*6*2\/3*30.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*1285924\nAnswer: 6429620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48270)\/67578*(-175 - 0)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 14. Let q be g(-11). Solve -4*s - 2*k + 10 = 0, -s - q*k - 9 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11832 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -428 + 500. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 4*z. Let o(x) = 0*x**2 - x**2 + 0*x**2 - x. Let n(i) = -3*o(i) + u(i). Let a be n(-1). Solve a*y = 25, 0 = -3*k - 0*y + 3*y - 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -u - 18, 3*d - 7*d + u - 18 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - t)*(-16 - 9 - 7).\nAnswer: -64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(6 + -12)*-72785 + 7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8257.9995944 - 8258. Round u to six decimal places.\nAnswer: -0.000406","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -273364676, -273364677, -273364678, -273364679, -273364680, -273364681?\n\"Answer: -y - 273364675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1005168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103231 - 666539 = -4*m + 2*a, -5*m + 704165 = 5*a. Let l = -2817323\/20 + m. Let n = 192\/5 + l. What is the third biggest value in -1\/3, n, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688.1559 months to centuries.\nAnswer: 0.57346325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**2 - 2*l**2 - l**2)*(-l - 3*l + 3*l + (1 - 6 + 3)*(2*l - 3 + 3)) - 2*l**3 - l**3 + 0*l**3.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2115 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 59\/8, -40, 37 in ascending order.\nAnswer: -40, -8, 59\/8, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.8 (b) -460 (c) -2\/7 (d) 0 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-11) + (-10)\/(-55). Suppose w = -58*v + 55*v + 9. Let z be 30*(-2)\/15*-3. Calculate the greatest common factor of v and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9575039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*(-74)\/74?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 3*r. Let o be j(2). Suppose -2*x = -x - o. Does 12 divide (11 - -1)\/(x\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.977956654 rounded to five dps?\nAnswer: -0.97796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100321010 (base 4) in base 2?\nAnswer: 10000111001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*z**2 - 4 - 228*z**2 + 99*z**2 - 2*z to v*z + m + w*z**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 175849031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -13. Suppose 0 = a + 2*p + 36, 3*a + 163 = 3*p + 28. Let r be 2\/10 - a\/(-10). Sort x, -5, r in increasing order.\nAnswer: -5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 1, e: 1, b: 1, r: 1}. What is prob of sequence ebr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73783, 73729, 73635, 73495, 73303, 73053, 72739, 72355?\n\"Answer: -m**3 - 14*m**2 - 5*m + 73803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 1528271?\nAnswer: 1528279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13830\/7853 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7089701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:49 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 1. Let d be (-3 - 0)\/(-3) + 2. Suppose d*b = -2*b. Calculate w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(8*g**3 - g**3 - 2*g**3)*(-8 + 2 + 15).\nAnswer: -135*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhurhhhrhhzrruhgz. What is prob of picking 1 u and 1 r?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 - -7) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*n + 80, 12*c + 111 = 14*c + 4*n + 31 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(sqrt(34)*-1)\/sqrt(2)*3 + ((sqrt(187) - (sqrt(187) - (sqrt(187) + (-1*sqrt(187) + sqrt(187))*-4))) + sqrt(187))\/(sqrt(55)\/(sqrt(5)*-1)).\nAnswer: -56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11966171 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcwwwsszwcsclbcslsw. Give prob of sequence zs.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (789\/(-35) + 1)\/(13\/(-585)). Let i = -972 + r. Is i bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0, -0.07 in descending order.\nAnswer: 5, 4, 0, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 5*d**3 - 4*d**3 - 3*d**2 + 12*d**3. Does 21 divide h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 2 + 0 + 75*c**2 - 29*c + 10*c + 17*c + 32*c**3 to the form t*c**3 + d*c**2 + w + s*c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2470*p - 2470*p - 16*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzjvvzzevvzz. Give prob of picking 2 v.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9602799 from -89.\nAnswer: -9602888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqcs when four letters picked without replacement from qsqucccqffqfcssfa?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 190*k**2 - 114*k + 124. What are the prime factors of p(4)?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 + 2*u + 4. Suppose 232 = -7*o - 1154. Let j be o\/(-27)*9\/6. Suppose 4*v + j = 3*p, -3*p + 5*v - 3 + 19 = 0. Calculate i(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**3 + 24*h**2 + 16*h + 2. Let l(a) = 30*a**3 + 72*a**2 + 47*a + 5. Let d(y) = -2*l(y) + 7*v(y). Let d(p) = 0. What is p?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 - -0.1?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -102\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11030?\nAnswer: 2, 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**7\/70 + y**6\/24 + 5*y**3 - 14. Let x(g) be the third derivative of q(g). Find the third derivative of x(u) wrt u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose -4*r = -k*r + 127. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 425 + 117 = 0. Let q(z) = -z**2 - 10*z - 10. Suppose -22 = 4*u + 6. Let a be q(u). What is the greatest common divisor of l and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.690637 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 83*n**2 - 1078*n - 19094. Calculate t(23).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454427.\nAnswer: 3, 13, 31, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u - u**2 - 31*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11915, -47660, -107233, -190628, -297839, -428860, -583685?\nAnswer: -762308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 3*o - 3*o + (-o**2 + 0 + 0)*(0 - 2 + 0) + 0 + 0 + 2*o**2)*(-2 + 2 + o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*q - 119*q = 3, y = -2*q + 41. Solve -5*z - 2*n - 43 = -y, 3*z = -2*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*m + 29*m + 2*r + 6, 4*m + 4*r = 20. Solve m*l - 2*a - 14 = 0, -5*l + 20*a = 22*a - 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-6534)*-33*1125\/(-5)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -83\/2, -0.5, 0.07987 in descending order.\nAnswer: 0.07987, -0.5, -83\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 868 - 114*x + 115*x - 2924 + (4*x + x - 3*x)*(-4 + 0 + 5) in the form t + s*x and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*n**2 + 29*n**2 + 36*n**2 - 10*n**6 wrt n.\nAnswer: -1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (4 - (-3 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009141 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 p when four letters picked without replacement from {p: 3, v: 8}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in -570\/11, -6.8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (14 - 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 1062?\nAnswer: 26550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-186)\/(-4)*(-6)\/(-12) - 0 and -107\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + -0.2. Let y = 178 - 179. Let d = -437\/4 - -110. What is the closest to i in y, -0.1, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7403 + 69d?\nAnswer: 7aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d. Let v(l) = -5*l**2 + 71*l. Give v(a) + 4*z(a).\nAnswer: -a**2 + 67*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 413*j + 486. Let p(d) = -207*d - 242. Let i(x) = -2*k(x) - 5*p(x). Differentiate i(q) wrt q.\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 26*o = -4*n + 24, -3*n - 2*o + 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67573*w**2 - 16*w**3 - 67573*w**2.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -646\nAnswer: -19.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 21 = 13*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18675429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (560\/840)\/(6\/(144\/92))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28464 is divided by 4600?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -18*i + 25. Let q(f) = 485*f - 690. Let w(u) = 55*n(u) + 2*q(u). Let a(x) = 2*x**2. Determine a(w(j)).\nAnswer: 800*j**2 + 400*j + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(10)\/(sqrt(8)\/sqrt(4)) - sqrt(5)) + sqrt(5) + 4 + sqrt(5) + ((1 + sqrt(5) - sqrt(5)) + sqrt(5))**2.\nAnswer: 10 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -0*c - 4*c. Let w = c + -50. Let o be (-8)\/w*(-8)\/(-10). Are 0 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438609450.\nAnswer: 2, 5, 28772189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27 - -32) + ((-1332)\/440 - 2))\/(24\/(-32)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*l**2 + 9*l - 9*l + 103*l**2.\nAnswer: 228*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-15)*8\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 - 3*h + 1. Let c be q(4). Suppose -10663*r = -10629*r - 646. Solve -2*p + 5*d = -0*p - c, 0 = -3*p - 4*d + r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44704 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200*h**3*o**3 + 514*h**3*o**2 - 124179*h**3*o wrt o?\nAnswer: 1200*h**3*o + 1028*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47214 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 98 + 111. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.2*0.0124.\nAnswer: 0.10168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - (-1)\/(16\/28). Solve -h*m - 3*y - 8 = -y, -5*y = -4*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:02 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/218158059 and -187\/210.\nAnswer: 2181580590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 152 - 4*g - 152 - 8118*g**2.\nAnswer: -8118*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -7)\/((-1)\/(-10)*-1). Sort 0, -5, -16, b in ascending order.\nAnswer: -16, -5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 46606*k**2 + 23295*k**2 - 7*k + 23359*k**2.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*c)*(2 - c - 2)*(-19 + 7 - 2).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0 (b) -0.17 (c) 6\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 27. Suppose 0 = -c*f - 3*w - 13748, -8*w = -5*f - 3*w - 13740. Let z = f + 123698\/45. Calculate the common denominator of -76\/15 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 - 2*g - 3. Determine n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppnppnotonnoin. What is prob of sequence io?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645986?\nAnswer: 2, 11, 29363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0\/((((c*c**26)\/c)\/c)\/c)*(c*c**22)**(-2\/37) assuming c is positive.\nAnswer: c**(-934\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 6. Let y(t) = 6*t + 6. Let b be y(d). Calculate the greatest common factor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45 - -48) + (10077\/(-935))\/3. Let u = 4\/85 + k. Put u, 2, 0.3 in descending order.\nAnswer: 2, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = 130. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d**2. Let y(c) = 42*c**2. Give y(s(n)).\nAnswer: 22218*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*o - 168*o = -b + 20, -2*o = b + 5. Solve 0 = -b*y - 15, -3*n - 2*y - 10 = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1588, -12697, -42852, -101575, -198388, -342813?\nAnswer: -544372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.6158285?\nAnswer: 1.8474855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7424 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 101. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/8 - 31)*-33. Suppose 3*g - 218 = f + 589, 0 = -3*g - 5*f + i. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*f + 5*x, -3*f = -4*f + 5*x + 28. Solve -f*t + 17 = -2*s, 8 = -2*t - 5*s - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxtxzzttttztz. What is prob of picking 1 z and 3 x?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-3\/4)\/g)\/g)\/((g\/g**22)\/g*g))\/(g**11\/g*g*g**(1\/2)))**(1\/55) assuming g is positive.\nAnswer: g**(27\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3596*a + 3600*a + h, -5*a = 2*h + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4*u - 5*p**3 - 7140*p**2*u - 17*p*u + 3*p - 32*u wrt p?\nAnswer: -24*p**2*u - 30*p - 14280*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4664 divided by -38346?\nAnswer: 212\/1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27283, -55253, -83223, -111193, -139163?\n\"Answer: -27970*v + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -130. Let w(n) = -n**3 + 25*n**2 - 46*n + 4. What is the remainder when b is divided by w(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 7*n - 16. Let r be m(-9). Solve -r*a = -10 + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 0)*(-4)\/10. Let p be 30*(h - (-4)\/(-3)). Let i(b) = b**2 - 4*b + 3. Let u be i(5). What is the greatest common factor of u and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 481*y + 7933. What is r(16)?\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2 + 4*t - 2. Suppose 3*i = 2*i - 5. Let n(v) = -4*v**2 + 2*v - 1. Let m(g) = i*n(g) + 3*l(g). Suppose 27*a - 26 = a. Give m(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 7 + 0\/(-4). Solve 0 = -3*q - z + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 14*g**2 - 14*g - 13. Calculate w(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 123, 188, 255, 324, 395?\n\"Answer: n**2 + 60*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 811 - 806. Suppose -4*r - 165 = -n*d - 59, 0 = -3*d + r + 58. Calculate the greatest common factor of 1116 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3 - 26*h**2 + 140*h + 392 = 0. Calculate h.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (3 + -1 + -18). Let z = u - 11. Which is the biggest value? (a) 2\/13 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 3*y - 3*y - 5*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1284 - -1288. Suppose -4 = -4*p + 12. Solve -p*r + 0*r - q = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76226372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(2) + 5 + sqrt(2) + (sqrt(288) - ((sqrt(288) - 2*sqrt(288)) + sqrt(288))))**2 + 0 + sqrt(16)\/(2*sqrt(8))*-3.\nAnswer: 349*sqrt(2)\/2 + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77753, -309238, -695047, -1235180, -1929637, -2778418?\n\"Answer: -77162*u**2 + u - 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.95086 - -0.04914. Let p = -8 + 3. Which is the biggest value? (a) p (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 27*f - 45. Let z be b(-15). Put -3, 15, 5, z in increasing order.\nAnswer: -3, z, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11485, -23282, -35079, -46876, -58673?\nAnswer: -70470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34*(-18)\/45*(-15)\/12. Suppose -z + 3080004 = -13*q + m*q, 0 = -5*q - 4*z + 3850016. Round q to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5721 by 6478.\nAnswer: 5721\/6478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-3*-3)\/((sqrt(108) - -1*sqrt(108))\/sqrt(9)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-7) + (-3)\/2. Suppose -7*o + 45 = -22*o. What is the fourth biggest value in o, 2\/3, a, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 - -183. What is the remainder when 95 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 190507172595 and 0.5.\nAnswer: 190507172595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 5*r**3 - r**3 + r**5)*(-3 - 7 + 4).\nAnswer: -6*r**5 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 8. Let l be p(8). Suppose l = 3*g - g - 8. Calculate the greatest common divisor of 6 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3476, 6955, 10434?\n\"Answer: 3479*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {n: 1, m: 6, r: 1, y: 2, g: 2, s: 3}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:27 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28*-3729\nAnswer: -104412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - -32 - (-41 - -38). What is the highest common divisor of 589 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1833 or 1835?\nAnswer: 1835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2216972920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 times 0.202?\nAnswer: 29.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499393, -998776, -1498167, -1997572, -2496997?\nAnswer: -2996448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1403 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-six fifths of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-52136)\/(-30324) - ((-84)\/9)\/(-4) and 51\/95.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/51, -23\/840, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-1\/6))*d*d**(-5)\/d)**(5\/2)*d\/((d*d*d*d**(-2\/5)*d*d)\/d)*d*d*d**(-2\/23)*d*d*d**(-7)*((d*d*d**(-1\/2)\/d)\/d)\/d assuming d is positive.\nAnswer: d**(-26593\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/5, -2, 3\/8 in decreasing order.\nAnswer: 4, 3\/8, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14 + 2 = 2*m, 0 = 2*y - 5*m - 8. Suppose y*l - 4*j = -j + 35, -5 = -l - 3*j. Calculate the highest common factor of 48 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185310 and 164430.\nAnswer: 11674530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, 3\/10, 0, 5\/4, -4.7 in descending order.\nAnswer: 2, 5\/4, 3\/10, 0, -0.4, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -4828701.\nAnswer: -24143505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (33\/4455)\/((-10)\/1893) + (-4)\/(-18) and 111\/760.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-5)*((-1995)\/(-19))\/(-21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 101 + 31. Let w = d - 39. Suppose 81 = -w*j + 5*u + 26, 0 = 4*u - 12. Let m(q) = q + 9. What is m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 907948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w + 4. Suppose -2*v = -67 - 15. Let r = -35 + v. Let m be (4\/r)\/((-6)\/(-27)). Determine n(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*y - 2*y = -39, 2*q = 2*y - 14. Let d be q + 6 - (0 + -2). Let m be (-30)\/(-9) - d\/(-6). Solve m*l = -2*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*m - 46, -p + 2*p = 3*m - 77. Suppose k + 4 + 3 = 2*v, -2*v + 5*k = -m. Suppose 4*r + 2*x - 3144 = 0, -7 - v = -4*x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + p + 551*p**2 + 11 + 14 + 2.\nAnswer: 551*p**2 + p + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h - 7. Calculate m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -46. Let a = -4 - d. Suppose 4 = -2*p + a. Is p smaller than 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44344, -19, 6, 3, 10.\nAnswer: -19, 3, 6, 10, 44344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6218 = 18*r + 17048, -5*t + 4*r + 29138 = 0. What is the highest common factor of 330 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -20. Suppose a = -30*o + 26*o + 20. Let x(d) = -26*d - 1. Let v be x(-1). Calculate the greatest common factor of o and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/37? (a) 1\/5 (b) -18\/125 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 11}. What is prob of picking 3 k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*c + 835 - 835 to the form g + p*c and give p.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 7*u**3 - 4*u**3)*(-u - 6*u - u).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/5 - 13058*b**2\/5 + 143276*b\/5 + 156432 = 0.\nAnswer: -4, 15, 6518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/120 - b**5\/12 + b**4\/24 + b**3\/3 - 5*b**2. What is l(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(3*(-5)\/15). Sort v, 4, 5, -22 in increasing order.\nAnswer: -22, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/8 - 2\/(-8). Let o(s) = -5 - 4*s**3 + 2*s + 5*s**3 - 4*s**2 - 6*s. Determine o(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 327735, 655545, 983355, 1311165, 1638975, 1966785?\n\"Answer: 327810*s - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16481, 16466, 16449, 16430, 16409?\nAnswer: 16386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21270565 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: Does 35 divide 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -13*o + 1 + 16*o - 5*o. Let i be y(-21). Let u = i + -7. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) - (-35)\/3. Let v = 14 - c. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**4 - 6907*m**3 + 37*m**2 + m - 19950321 wrt m.\nAnswer: 4*m**3 - 20721*m**2 + 74*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/2 - 3*f**3\/2 + 81*f**2\/2 - 77*f\/2 = 0. Calculate f.\nAnswer: -11, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 429 + -424. Suppose -39 + 19 = -5*w + 5*y, -r = y. Let n = 65.05 - 0.05. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4 (c) -0.2 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26421986 and 15410.\nAnswer: 3082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*w = -528, -4*r + 203 + 301 = w. Suppose 323 = 4*i + 2*x + r, 2*i + 4*x = 86. Let q = i + -30. What is the remainder when 62 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -3 (c) 5 (d) 9 (e) -2\/293\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:42 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6381, -3, -711?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-4 - -5) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2)\/u)**(-1\/21)*(((u\/((u\/(u**(-1\/17)*u))\/u))\/u)\/u*u)\/(u**(2\/3)\/u))**40 assuming u is positive.\nAnswer: u**(17860\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 27 = -0*p. Calculate the lowest common multiple of 8 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 - 0?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*i**3 + (1 - 2 - 1)*(-860*i**3 - 295*i**3 - 1589*i**3).\nAnswer: 5486*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 + 1753 = 4*u. Let n = 833 - u. What is the highest common factor of n and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(595\/(-42))\/17. Let h(w) be the third derivative of 1\/6*w**4 - 1\/21*w**7 + 0 + 0*w**3 + 1\/5*w**6 - 3\/10*w**g - 4*w**2 + 0*w. Factor h(r).\nAnswer: -2*r*(r - 1)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567513984.\nAnswer: 2, 3, 1477901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -12*y**5 + 212*y**4 - 660*y**3 + 620*y**2 - 48*y - 112 = 0.\nAnswer: -1\/3, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*v**3 - 29*v**3 - 19*v**3 + 202*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13444 + -11433?\nAnswer: -30432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -1708100, 2, 1?\nAnswer: -1708100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2\/4 + 1249371*v\/4 + 3748221 = 0. What is v?\nAnswer: -12, 416469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -2) + (-2703)\/21. Let u = 127 + r. Let f(h) = -h + 5. Let l be f(6). Is u equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/3 (b) 27 (c) -0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 15*u + 252 = 0. Let a = -19 + u. Suppose -3*y - 59 = -2*l, 0 = -2*l + 7*l - 2*y - 164. What is the remainder when l is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -267123012*o + 98541787?\nAnswer: -267123012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 502*a + 96332. Give l(-190).\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8 + t**2 - 2*t**2 - 6*t + 3. Let z be v(-5). Suppose 15 = 5*b - 5*x, -3*x + 8*x = z. Let s(r) = r. Determine s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22804683 to the power of 1\/2, to the nearest integer?\nAnswer: 4775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, z: 10, f: 2}. What is prob of picking 2 z and 1 r?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-413)\/(-1770)*-10)\/((-14)\/20))\/((-10)\/(-8))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 9*y - 552858 - 305572 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1463073\/(-9))\/((-1)\/5 + 16\/(-120)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l = -25*l - 4*s + 36, 0 = -5*l + 3*s + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k - 7 - 140*k**2 + 44*k**2 + 48*k**2 + 47*k**2. Let q be x(-9). Suppose -5*a - 3*d = -145, 31 = q*a - 5*d + 4. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -275, -233, -173, -89, 25, 175?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1440)*-1)\/sqrt(2))\/((1*sqrt(80))\/sqrt(5)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 5)*(-5 + 5 - 1)*(-65 - 60 + q**3 + 120) to j + r*q**2 + h*q + t*q**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 6, 5*i + 3*q - 1 = q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 0*y**3 - y**3 + 5*y**2 + y**2 - 19*y**2 - 1 to the form a*y**3 + h*y**2 + d*y + v and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z + 251 = 23*z + 273 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 50781, 13, -1, -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 28 = -3*b, -11*m + 4*b = -14*m + 59 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013943658 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(1536))\/(sqrt(36)\/sqrt(3)*3 - sqrt(132)\/(sqrt(11) - (sqrt(11) + sqrt(44)\/sqrt(4)) - sqrt(11))))**2 + 4.\nAnswer: 32964\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 divided by -34?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 705613 greater than 705613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20 - (-21)\/55)\/((-14256)\/13068)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Suppose -g - n*m = -3*g + 54, 3*g - m = 76. Suppose -5 + g = 5*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(38 - 2*d - 38)*(0*d + 2*d - 3*d) + (7*d - 14*d + 8*d)*(5*d - 3*d - d) to v*d + k + h*d**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*k**2*n**3 - 49*k**2*n**2 + 2*n**2 wrt n?\nAnswer: 246*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9490\/9849 + -46\/201. Find the common denominator of f and -52\/245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 15 - 15)*(4 + 0 - 2)*(-1 - 2 + 15)*(-v - 3*v + 2*v).\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221161382?\nAnswer: 2, 3, 7, 9691757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 113.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1120312*h**6 - h**3 - 408836*h**2?\nAnswer: 134437440*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1194, -1182, -1162, -1134, -1098, -1054, -1002?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 2. Let x(a) = a**2 - 11*a - 12. Let s be x(12). Let o be p(s). Suppose -4*n - 5*b - 163 = 0, 76 = -o*n + 4*b - 38. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4200*h**2 + 395136 + 250\/3*h**3 + 70560*h.\nAnswer: 2*(5*h + 84)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**8\/3360 - y**7\/420 + y**6\/120 - y**5\/60 - 2*y**4\/3 + 2*y. Let c(s) be the third derivative of p(s). Factor c(k).\nAnswer: 2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 144, 174, 284, 522, 936, 1574?\n\"Answer: 8*r**3 - 8*r**2 - 2*r + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/14377 and 47\/93633480.\nAnswer: 1029968280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405927*b + 405885*b = -1764 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7 + 19 = -5*r, 2*a + 6 = -2*r. Suppose m = 2*m - 4*v - 12, -m - 4*v - 12 = r. Solve 5*y = -2*z + 20, m = 5*z + y - 4 - 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -28. Solve -2*g - u*b + 14 + 17 = 0, 25 = 5*g + 2*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + g + 101.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11448a (base 15) to base 7\nAnswer: -10002610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 306868249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + (7 - 2) + -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-26)\/52*(-1 - -2)*-948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*s - 5*r, 3*s + 3*r + 5 = 2*s. Solve -4*g = -0*k + s*k + 8, -3*g + 3*k = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(-3981)\/72. Let j = 633\/16 - y. Find the common denominator of (-114 - 0)*1\/(-32) and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 3*g - 4. What is y(5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11255 is divided by 3684?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/18)\/(13 - (-1122740)\/(-86364)) is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040 = 232795*n - 232821*n for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2. Let m(g) = 14*g**2 - g - 1. Let q be m(-1). Let k = -280 + 294. Let w(y) = -y - q + k. Determine a(w(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.7 + -42.70629. What is s rounded to 4 dps?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -16. Let i = -73.1 + 66. Let r = i + l. Which is the nearest to -0.1? (a) 1 (b) r (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2400371*k + 1 - 2392717*k to i + l*k and give l.\nAnswer: 7654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 88\/96117?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*o = 0, 26*n = 29*n - 4*o + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 13*j**2\/3 - 10*j\/3.\nAnswer: j*(j - 5)*(3*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 6*w - 4. Suppose 3*b + 9 + 5 = h, -4*h = -8. What is the units digit of j(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 41. Are u and -40 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = -165808. Suppose 4589 + u = -3*h. Let z = h + 8447. What is z rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -206023754, -412047507, -618071260?\n\"Answer: -206023753*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**5 - 5*c**4 - 4*c**3 - 3*c**2 + 3. Let b(y) = 5*y**4 + 5*y**3 + 4*y**2 - 4. Suppose -2*w = -3*w - 4. Let f(k) = w*v(k) - 3*b(k). Solve f(z) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3204\/24 + 6\/4. What is the greatest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - ((-17 - -5) + 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 718184280 to the nearest integer?\nAnswer: 26799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**2 + 12 - 9 - 3.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4390 and 77\/6?\nAnswer: 13170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 + -10110212?\nAnswer: -10102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2041 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -232 (b) 1\/3 (c) 2\/3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 < 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 200156479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 170*b - 5 = -173*b + 10, -392*h - 2*b = 3142 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*i - 100 = 223*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 0*w + 0*w)*(3*w**2 - 2*w**2 + 0*w**2)*(4791 + 2525 - 2810 + 2076 + 1917).\nAnswer: -16998*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 28625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-15) + (-54)\/(-10). Let v(a) = -3*a**2 - 10*a - 9. Let l(q) = 7*q**2 + 21*q + 19. Let f(k) = j*v(k) + 2*l(k). List the prime factors of f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/6 + 53*y**2\/6 + 253*y\/3 - 280\/3.\nAnswer: (y - 1)*(y + 14)*(y + 40)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 2501*d + 174698. What is q(-68)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 + -136. Let c(y) = 242*y - 7. What are the prime factors of c(u)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516 - -10219.11616978\nAnswer: 10735.11616978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-13))\/(4\/3*1836\/(-2448)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5000252 (base 6) in base 11?\nAnswer: 14a388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from slleahl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3394 + -3277. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5d397 (base 15) to base 9\nAnswer: -503467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238 a factor of 27697774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1))\/(1\/(-19)). Let k = -19 - s. Solve -5*q + k*q = 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1553, 11915, 39899, 94271, 183797, 317243, 503375, 750959?\nAnswer: 1068761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/12 + 2\/4. Let q = 4.6 + -5.1. Which is the third biggest value? (a) q (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.323 + -0.323001528. What is k rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 52 = -c, 0*w + 2*w + 4*c - 106 = 0. Let h = w - 46. Solve z = -s + 5, s - 2*z - 13 = -h*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 179*x + 247*x + 173*x + 25784 + 2369 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*c + 573*c + 3540 = 1528*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -36. Let h(z) = z**2 - 4. Let s be h(-3). Let x = w - s. Solve 0 = 2*u - x*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 3748 = -2*y + 14*h, 0 = -4*h. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 319 - 247. Calculate the lowest common multiple of d and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 1)*(-2 + 2 + 3*q**2) - 3*q - 2*q**2 + 3*q - 1292 + 2584 - 1294 - 237*q**2 to f + i*q**2 + d*q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 193*i**3 - 18*i**3 - 85*i**3 + (5*i - 5*i - 2*i**2)*(-2*i + 2*i - i).\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187197548 is divided by 46799385.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.48 (b) -0.3 (c) -2 (d) 1 (e) 0.1 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468736487 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -229557821 divided by 2003\nAnswer: -114607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 2*p + 3*p**2 + 0*p + 2 + 0*p**2 + 0*p + 3*p to the form f*p + n*p**2 + j*p**3 + h and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -930.18 - -930.113839. Round h to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3174 by -6.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147\/14*(-7)\/(7\/(-2026)).\nAnswer: 3, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08374 to three dps.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 0 + (341 - 201) + -133 + 20.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333927 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + 0)*6 + sqrt(300) + sqrt(300)*2 + 0 + 2 + 0)**2 + 0)*2 + 5.\nAnswer: 720*sqrt(3) + 48613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548718591 to the power of 1\/2, to the nearest integer?\nAnswer: 67444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 4, -233, 165, 3, -5, -3.\nAnswer: -233, -5, -3, 3, 4, 99, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -87624324?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -164*j**5 + 9*j**3 + j + 459. Let g(y) = 492*y**5 - 27*y**3 - 2*y - 1388. Let a(l) = 8*d(l) + 3*g(l). What is the second derivative of a(w) wrt w?\nAnswer: 3280*w**3 - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, 12, 22, 18, -6, -56?\n\"Answer: -k**3 + 2*k**2 + 19*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i + i**3 + 2 + i**2 + 6*i**2 - 2*i**3. Let w be r(6). Suppose p + 0*p**2 + 0*p**2 - p**w = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 0.0383?\nAnswer: 0.6511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 2. Let z(y) = y**2 + 11*y + 13. Let u be 6*-1 + 0 + -4. Let l be z(u). Determine n(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 6*s + 15. Let n be ((-6)\/4)\/((-9)\/60). What is the highest common divisor of s and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*u + 428*u + 24622 = 518*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-14 + (26 - 26))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeteete. Give prob of sequence te.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.77063 <= -24\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, -2\/7, 15, -27\/5 in descending order.\nAnswer: 15, 3, 0.3, -2\/7, -27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320*d*t**4 - 5*d*t**2 - d*t - d + 5*t**3 + 12*t + 21 wrt t.\nAnswer: 3840*d*t**2 - 10*d + 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340798?\nAnswer: 2, 670399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 3*r + 8*a - 9*a, 68 = r - 2*a. What is the highest common factor of r and 576?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -663.9 + 662. Are -4 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397964 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -123, -238, -399?\n\"Answer: -23*h**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14224 equal to 56893\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 14 = -5*i, 0 = -24*i + 3*b - 4 + 37 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -223*y. Let i(a) = 1174404*a. Determine i(l(q)).\nAnswer: -261892092*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**5 - 2320*h**4 - 33505*h**3 + 76330*h**2 = 0.\nAnswer: -449, -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 15*t - 119. Calculate q(-29).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 + p + 7. Let k be x(-5). Suppose 4*c + 8 = 3*m - 11, 3*c + 13 = k*m. Let f(y) = -y + 2. Give f(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a hour in minutes?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101 (base 4) in base 7?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5746984?\nAnswer: 2, 229, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -66. Let n be 2 + 90\/l + 2. Sort 3, n, 4, -0.3.\nAnswer: -0.3, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccczcccccccccc. What is prob of sequence cczc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6)*2)\/(8\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 18ecbd0?\nAnswer: 18ecbd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 682 and 5270.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641810 is divided by 213305.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 38*a + 270. Let u be d(-7). Let v(r) = -r**2 + r + 10. Determine v(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-39) + 602\/364)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*g + 5, -3*j + 0*j - g - 25 = -8*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3016 is divided by 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2737\/5 - 548. Let i be (-4)\/(-15) + (-2)\/3. Let p = -463\/52 - -35\/4. What is the closest to i in p, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 187*q - 343*q + 147*q.\nAnswer: -9*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z)**(-7\/5)*z**7*(z**(-1\/6)\/z)\/z assuming z is positive.\nAnswer: z**(271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 - 551\/5. Factor -6\/5*o**2 + l*o**3 + 2\/5*o + 0.\nAnswer: 2*o*(o - 1)*(2*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45cb3b (base 13) in base 15?\nAnswer: 22ab1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61504 (base 7) to base 15\nAnswer: 469d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -146, -142, -138, -134, -130, -126?\n\"Answer: 4*h - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28715 + 28714. What is the closest to 0.1 in 3\/5, -21, b, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62, 67, 290, 613, 1042?\n\"Answer: o**3 + 41*o**2 - o - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102376127 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h - 9. Let b(m) = 2*m - 2. Let z(r) = -3*b(r) + o(r). Calculate z(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*a + a - 3*a)*(14 + 12 - 18) + 139 - 139 - 34*a)*(-2 + 2 + 2*a**2).\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 21. Let s be w(9). Suppose 0 = s*h - 0*f - f - 1603, -f + 1062 = 2*h. 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 ggap. Give prob of picking 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 189 + 213 = 0. Let p(j) = 2*j**2 + j - 1. Calculate the least common multiple of p(-3) and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 30*d**2 - 11*d + 10. Let k be q(1). Suppose 17*c = k*c - 552. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1323554763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/40 - 7*y**5\/40 - 9*y**4\/8 + 20*y**2. Let f(t) be the second derivative of i(t). Differentiate f(d) wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.6 + -20.6. Let c = -20 - q. Put c, -1\/3, -2 in decreasing order.\nAnswer: -1\/3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 2 + 1 + 2*u - 2*u**3 - u**3 to the form y + g*u**3 + v*u + f*u**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 3 (c) -3 (d) 0 (e) -0.5 (f) -4\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 245.4 (c) -52 (d) -9\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - d + 4*d)*(-9 + 8 + 18 + 20) to p*d + v and give p.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwrlzzqk. What is prob of picking 1 r, 1 q, 1 w, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, 2 in ascending order.\nAnswer: -17, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 5*f**2 + 2*f + 3. Let r be l(-3). Let j = r + -7. Let h = 4 + j. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/(k*k\/(k**(-4\/3)*k*k)*k))\/((k**(-1\/4)\/k)\/k*k**(1\/4)) assuming k is positive.\nAnswer: k**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byd when three letters picked without replacement from buduiyb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {s: 1, f: 4, w: 4, e: 5, h: 6}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 6*z**2 + 5. What are the prime factors of l(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 82 = -5*m + 2*x, -249 = -3*m + 3*x. What is the smallest common multiple of 68 and (2\/7)\/(4\/m)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -1 - sqrt(12)*1)**2 + -2.\nAnswer: -16*sqrt(3) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t - 5*t - 10*t - 10*t + 37*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30235877 to the nearest integer?\nAnswer: 5499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6\/211 (b) 54 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2\/9*w**3 + 0*w**4 - 1\/3*w**2 + 1\/45*w**6 - 1\/15*w**5 - 1 - 4*w. Let q(z) be the first derivative of r(z). Solve q(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**2*g)\/g*g)\/g**(-1\/4)*g**(1\/4)*g\/(g\/(g*g\/g**(1\/3)))*g**2\/(g*(g**(-7)*g)\/g)*(g*g**(1\/2)*g)**39 assuming g is positive.\nAnswer: g**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {u: 4, d: 3, i: 13}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*k + k + 3, 0 = -x + 2*k - 11. Let y be (-407)\/2233 + 4\/14. Are x and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 2*l**5\/45 - 14*l**4\/3 + 3356*l**3\/27 + 1204*l**2\/3 + 3698*l\/9 + 144. Find w, given that x(w) = 0.\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*x, -3*x - 116 = -5*p + 53. Calculate the greatest common factor of p and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 90*s + 92. Let j be d(46). Which is the nearest to j? (a) 6\/25 (b) -3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 482669788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 832 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.42264 to 0 dps.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 t when three letters picked without replacement from {t: 5, a: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 2. Let n be -2*2\/(-2) + -5. Let q be 2\/(-2)*1 + n. Calculate t(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006316805 to six decimal places.\nAnswer: 0.000632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -3455a?\nAnswer: -34559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*i**3 + 315*i**3 - 110*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1547 and -22246.931895.\nAnswer: -23793.931895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1541?\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 1\/10*z**6 - 1\/70*z**7 + 0 - 3\/10*z**5 - 1\/2*z**3 + 0*z + 8*z**2 + 1\/2*z**4. Let g(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8202*r - 1332226 = -16984*r + 74781 + 582687 for r.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*d - 619*d = 884 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5536 + 5535.5. Let d = -0.29 + 0.09. What is the second smallest value in r, d, 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:29 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 29.86905 kilograms?\nAnswer: 0.02986905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n + 688 - 1537 + 795 = -540 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4, -17487, 6, -2.\nAnswer: -17487, -4, -2, -2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(22)*-5 - sqrt(264)\/(sqrt(12) - sqrt(48)))\/((sqrt(216) + sqrt(24))\/sqrt(12) + sqrt(2) + sqrt(2) + sqrt(22)\/(sqrt(11) + sqrt(99))).\nAnswer: -16*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 2*u**2 - 3*u - 5. Let o be m(-2). Does 24 divide (88\/(-2))\/(o\/((-126)\/(-3)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011011101 + -1001111111000?\nAnswer: -101100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddvjdvvicwijcvjvvvd. Give prob of picking 1 v and 2 d.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s + 3. Let u be l(2). Suppose 0 = -4*p - u + 11. Suppose -p*i - 148 = -f, 88 + 66 = f - 5*i. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14587, 29102, 43449, 57544, 71303, 84642?\nAnswer: 97477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 19 = 7. Calculate the smallest common multiple of k and 98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 41. Suppose -7 = 2*s + 3. Suppose -15 + 35 = 5*u. Put u, f, s in increasing order.\nAnswer: s, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/51, -0.1, -1 in increasing order.\nAnswer: -1, -0.1, -2\/51, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 159*o + 1211. Determine d(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-777)\/28*956\/(-717).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9121.\nAnswer: 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y + 2*y**2)*(21*y**2 - 15*y**2 + 20*y**2)*(-299 + 299 - 43*y).\nAnswer: -2236*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -79\/13 (b) 1074 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-81))\/((-2)\/(-15))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 427338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 2*h - 2*h + (0*h - 2*h + 0*h)*(2 - 1 - 2) - 3*h - h + h - 63 + 63 + 13*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004159362 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 6. Let b be 1\/((g\/(-10))\/9). Is 29 a factor of (87\/12)\/(b\/(-4*4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 37*s**3 - 35*s**3 - s**2 + 70*s**3)*(-5*s + 0*s + 4*s).\nAnswer: 2*s**4 + s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817.7843 years to decades.\nAnswer: 81.77843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 0)*(-1 + 4). Suppose -q + 3 = -4*v, x = 4*q - 3. Suppose 4*f - 3*f - 18 = v. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2466743 and 12629.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + -4.92. Suppose -3*q + 6*q - 12 = 0. What is the third smallest value in 0.2, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/28*14*4\/(-32)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*w = -44, k = -4*w - 7 + 35. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**5\/20 - 2*w**4\/3 - 2*w**3 + 47*w. Let p be 1\/(-4) + 444\/48. What is y(p)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0*a**3 - 1\/12*a**4 + 1\/2*a**2 - a + 0. Differentiate q(m) with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 965 + -6766\/7. Let d(i) = -19*i + 400. Let s be d(21). Is r < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/12 + 2*n. Let v(r) = -20*r. Give d(v(i)).\nAnswer: 400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/3)\/y))\/y**(-6)*(y**(2\/7))**4)\/(y\/(y*(y**(-14)\/y*y)\/y*y*y)*(y*y**(7\/2))\/y)**37 assuming y is positive.\nAnswer: y**(-25285\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -23 + 14 - 3*i**2 + 1 + 1 + 3*i + 13*i. Let t(g) = -2*g**2 + 11*g - 5. What is 5*n(o) - 7*t(o)?\nAnswer: -o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7599140 and 1139871?\nAnswer: 22797420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 4*w - 2. Let r be p(-3). Let y(b) = -b + 0*b**3 + 4*b**3 - 1 + 3*b**3 + 2*b. Is 5 a factor of y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and (-354)\/(-10) - (-6 + (-256)\/(-40)).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7815185.5 rounded to the nearest 100000?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*w + 291*w = 104*w + 3920 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1178 = -v. Suppose -4*d + u = -5*d + 238, -5*d = -u - v. What is the tens digit of d\/10 + (-3)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cavaxcwtatt. Give prob of sequence txv.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19670 - -8430. Does 281 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*t = -36, -5*l = 659*t - 664*t - 55. Solve 2*q = -d - l, -33 = -0*d - 4*d + 5*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + d + 8 = 0, v + 5*d = -0*v + 4. Let o be (-3 - (-9)\/12)*(-56)\/42. Calculate the remainder when 38 is divided by ((-1)\/(-2))\/(o\/504*v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -8*u + 472. Calculate the greatest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21042 divided by 6\nAnswer: 3507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.077 - -10.477. What is the smallest value in k, 16\/9, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59840 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4194577 is divided by 365.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/9)\/((-2)\/(-3)) + 691. Let f = j - 271. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 79676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*l - 50*l - 140 - 44*l + 15*l + 15*l wrt l.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346315?\nAnswer: 5, 69263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5485140 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.8225 * 0.09\nAnswer: -0.074025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 3. Let m be x(5). Suppose 4 = l + 4*c, -5*l = -c + m - 1. Is 3\/10 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1794710 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*g + 22 = -7*g, 0 = 4*w - 2*g - 20. Is (-22060)\/50*(-10)\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 104*j**2 + 314*j**2 - 101*j**2 - 106*j**2.\nAnswer: 3*j**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12510539 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3009 divide 405298433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = -1489 + 1471. Sort 3, f, -50 in increasing order.\nAnswer: -50, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 178*l**4\/9 - 3898*l**3\/3 - 24100*l**2\/9.\nAnswer: 2*l**2*(l + 2)*(89*l - 6025)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 21. Let v = 979 + -967. Determine y(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/28079016 and 47\/924?\nAnswer: 308869176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*l - 49429 - 3738 = 17437 for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/126)\/((-2)\/12 - -1)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 4500*f**3 - 1 - f + 3*f - 4478*f**3 in the form g + u*f**3 + y*f + h*f**4 + z*f**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*q**2 + 5\/2 - 8\/3*q.\nAnswer: (q - 15)*(q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 8:43 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 + 25*t**4 - 35*t**3 + 15*t**2.\nAnswer: -5*t**2*(t - 3)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 5*n**2 + n - 10. Let a be t(5). Let d be (1\/2)\/(a\/(-10)). Solve 4*y + d = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29 (b) 0.4 (c) 0.3 (d) 49\/2 (e) 2 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 537, 830, 1123, 1416, 1709?\nAnswer: 2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) 3 (d) -1.9 (e) 8 (f) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-144)*(-16)\/(-38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 139 + 4?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69320 - 33405. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/1*(-2 - 2). Let h be t\/6*3\/8. Determine b so that -1\/4*b**2 - h - 3\/4*b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = c - 0*c, 2 = -2*w. Suppose 2*m = -3*h + 97 + 176, 0 = 4*m + c*h - 540. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 24 and 27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4325, -0.026, -0.3, 3 in increasing order.\nAnswer: -4325, -0.3, -0.026, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 88.2.\nAnswer: 352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**5\/20 - f**4\/12 + f**3\/6 + f**2\/2 - f. Let d(x) = -6*x - 2. Let i(z) = 4*b(z) + 2*d(z). Suppose i(u) = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 60*v - 1049. Calculate d(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7825137, 15650263, 23475383, 31300497, 39125605, 46950707, 54775803?\n\"Answer: -3*u**2 + 7825135*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128245?\nAnswer: 5, 13, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let t(l) be the first derivative of -1 - 4*l + 1\/6*l**3 + 0*l**2. Let q(z) be the first derivative of t(z). Determine f(q(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 13*u**4\/3 - 8*u**3 + 93*u. What is the second derivative of x(r) wrt r?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) -19\/37 (c) -26 (d) -1\/9 (e) 7 (f) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:38 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 31 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**3 + 193*y**3 + 26*y**3.\nAnswer: 206*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-765))\/(4\/(-24)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 663 + 303 + 4*k**2 + 345 - 2*k**3 as h*k**2 + w*k + z*k**3 + g and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 24*m**4 + 68*m**3 + 36*m**2 - 8*m = 0.\nAnswer: -2, -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14751 is divided by 1230?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 88.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - 8) + -16 - -16 - 8) + -4 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 17 (b) -0.3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - -1) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from uhhqhhenh?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 968.959 + -894.63. What is p rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*a - 13 = 0, 3*u + 0*a - a = -29. Let g be 3*((-3)\/u + 0). Let n be -2 + (-68)\/(-16) + -3. What is the nearest to g in -1, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10531257 (base 8) to base 9\nAnswer: 4245260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*0\/(-116)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2221243234 + 3?\nAnswer: -2221243231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.4636 and 2652.\nAnswer: 35705.4672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 144878*g + 3*g**2 + 5 + 145036*g - 289752*g in the form u + c*g**2 + f*g and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 0.0143.\nAnswer: 0.000858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**4\/24 - 10*z**3\/3 + 9*z**2. Let h be l(14). Let p be 4\/h - (-583)\/187. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8891, 13840, 18791, 23744, 28699, 33656, 38615?\n\"Answer: u**2 + 4946*u + 3944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 149\/7. Is 0.2 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 7*g**2 - g - 7. Let h be f(-7). Let q = 2 - 2. Suppose q = -h*l - 4*l. Solve l = 2*u - 0 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1530311 (base 6) to base 8\nAnswer: -256703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 4. Let l be s(-4). Let t = l - -2. Solve -n = -2*g - t, -g + 5 = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400973.\nAnswer: 83, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**6\/240 + 3*c**5\/40 - 13*c**4 + 23*c. Let n(h) be the third derivative of t(h). Give n(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 1360, 3076, 5476, 8560, 12328, 16780?\nAnswer: 21916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -65. Let h = 6 - 10. What is the second biggest value in -3\/7, n, h?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*y + y + 64, 4*r + y = 64. Let j(c) = 2*c + 4 - c + 2*c - 3. Let k be j(5). Calculate the greatest common factor of k and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 19 = -4*d. Let q = d - -26. Let y = -5 + q. Solve -z + 4*f = -6*z - 35, -y*z - 2*f - 16 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnxxn. Give prob of sequence xxnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5876 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 - (10 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9894211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 + u**4 - 3*u**4)*(-16979*u + 21 + 22 + 2 - 45 - 27242*u).\nAnswer: -132663*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a + 18. Suppose -3*s + 3*u + 62 = -s, 0 = -3*u + 12. Let w = -19 + s. Calculate the least common multiple of j(0) and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 + 2.1. What is the closest to 2 in b, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1720?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**10\/1080 + h**9\/756 + h**8\/840 - 5*h**4\/8 + 4*h**2. Let w(i) be the second derivative of f(i). Factor w(o).\nAnswer: -4*o**3*(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Let n = 4 + -3. Let y = 0.6 + -0.7. Which is the closest to n? (a) 0.3 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.161 - -2.879. Let b = q - 0.04. What is the second biggest value in -4, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + 924\/10. Calculate the highest common factor of 230 and v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-238)\/70*1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -98, -30 in descending order.\nAnswer: 1, 0, -30, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 17*i**2 - 11*i + 8. Let t be v(16). Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -22*w - 9. What is f(19)?\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 5:30 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + c + 1. Suppose 5*j - 20 = 0, -4*k + 25 = 5*j - 3. Suppose 5*h + 0 = v - 3, 9 = 3*v + k*h. Suppose 4*a = a - v. Determine r(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157 + -79. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.902 and 14.19.\nAnswer: 26.98938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/15)\/(k**8\/k*k*k)*(k\/k**5)**34 assuming k is positive.\nAnswer: k**(-2177\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(65)\/sqrt(5) + -2 + 5 + ((sqrt(13) + 0 + sqrt(13))**2 + -5 + (sqrt(13) + -2*sqrt(637) + sqrt(13))**2)*-2.\nAnswer: -3831 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24761, 24762, 24763, 24764?\n\"Answer: l + 24760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 6\/13 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3012492798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4 + 1 + sqrt(475))*6)**2 + (sqrt(57)\/sqrt(3)*5 + 1)**2 + 2 + 5.\nAnswer: -86637 + 5410*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) - 4\/8.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -50*i - 6. Let y be k(-6). Let f be (-42)\/(24\/4)*2. Is (1 - y)*(-15 - f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2984, -2982, -2980, -2978?\nAnswer: -2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*u = 9, -10 = 5*b + 39*u - 34*u. Let o(a) = 4*a + 7. Let q(v) be the third derivative of -v**4\/12 - v**3\/2 - 2*v**2. Determine b*o(d) + 7*q(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwh when four letters picked without replacement from {w: 5, h: 14}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 77 + 112 = 0. Calculate the remainder when 125 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let c(s) be the first derivative of 31*s**2 - 31*s**2 - 6*s**3 - 22 - 20. Give c(f(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 436*g + 9397. List the prime factors of v(24).\nAnswer: 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -10, -27, -50, -79, -114, -155?\n\"Answer: -3*h**2 - 2*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54557001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 322702722 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.4 - -6. Let i = 0.06 + -0.06. What is the second smallest value in s, -4\/7, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, e: 4, k: 3}. What is prob of picking 2 b and 1 e?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6556?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26362*z - 361 = -26389*z + 98 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2757 + 2757.2. Which is the closest to -2? (a) -4 (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13517, 1521 in decreasing order.\nAnswer: 13517, 1521, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 164.216 + 41.0414765.\nAnswer: 205.2574765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -31. Let p = -30 + t. Which is the third smallest value? (a) p (b) 0.2 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*10\/(-540)*-18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4627 = 381*b + 326 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71510508 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.7 + 3.4. Which is the smallest value? (a) o (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = w + 207, 0 = -5*h + 40*w - 39*w + 260. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 491026810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 6*r + 2. Let u(c) = c**2 + 4*c - 6. Let p be u(-6). Let m be k(p). Solve -5*o = n, 0*o = -m*o - 5*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17355 + -17319. Let p(r) be the first derivative of 0*r**5 + 0*r - 19*r**2 + x + 0*r**4 + 0*r**3 + 13\/2*r**6. Find the second derivative of p(g) wrt g.\nAnswer: 780*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:09 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*y + 160*y - y - 103*y + 64*y in the form o + b*y and give b.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 3:38 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 149182073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*((-5)\/(50\/2))\/(18\/(-30))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrrevda. Give prob of picking 1 e, 1 a, and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 4 - 14*z + 5 + 7.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -8 + 25 + -50.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:47 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8057 - 61*i**3 - 16232 - 20*i**3 - 127*i**3 + 8175.\nAnswer: -208*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 22. Suppose -3*f + 58 = -2*v, 0*f + d*v = -3*f + 23. Let g = 19 - f. Solve 4*h = -4, -5*h - g = x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = -12. Let v be (-1)\/g*(0 - 0). Let o be -2*2\/(-36)*-4. Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x + g - 1, 5*x + 5*g - 20 = 0. Suppose -4*c = 5*o, o - c + x = -2*c. Suppose 5*y = o*v + 95, -5*y + 90 = -2*v - 5. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -248*j*r - 13*r + 3 wrt j?\nAnswer: -248*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.6 - -15.6. Put 41\/6, -2, p in ascending order.\nAnswer: -2, p, 41\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-5 + 4 + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2167 - -2167. Let -3\/7*k**2 + l + 1\/7*k**3 + 2\/7*k = 0. What is k?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o. Let f(x) = -23*x + 296. What is f(q) + 3*v(q)?\nAnswer: -5*q + 296","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118674?\nAnswer: 2, 23, 83, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**5\/4 - m**3\/6 - 25*m. What is w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**4 - 12*q**4 - 5*q**4 + (3 - 3 + 3*q)*(-q**3 + 4*q**2 - 4*q**2) - q**4 + 0*q**4 - 2*q**4 to o*q**4 + h*q + s*q**3 + p + l*q**2 and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 4. Let l(k) = k - 4. Let a(p) = -p + 3. Let u(g) = -2*g - 15. Let z be u(-10). Let n(r) = z*a(r) + 4*l(r). Calculate -3*n(m) - s(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9240 and 1008.\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) 298 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**2 + t - 1. Let f be b(1). Suppose y = 4*y - f. Let o be (2 + 0 - 2)\/(-1). Solve -5*i + o*k - 19 = -y*k, -3*k = -9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396183302 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -76 + 86. Let x(i) = 5*i + 1. Calculate the smallest common multiple of x(6) and n.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**7\/84 + w**6\/60 + 3*w**5\/5 - 11*w**4\/3 + 28*w**3\/3 - 12*w**2 - w. Factor a(u).\nAnswer: -(u - 2)**3*(u - 1)*(u + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3696, 7131, 10536, 13911?\n\"Answer: -15*o**2 + 3480*o + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83980 and 3420.\nAnswer: 755820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -3\/10*x**4 - 1\/450*x**6 + 3 - 23\/3*x**3 + 0*x**2 + 0*x + 1\/25*x**5. Let q(z) be the third derivative of w(z). Factor q(g).\nAnswer: -4*(g - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/51292 and -9\/14?\nAnswer: 359044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 169764*l**2 + 2*l + 24. Let c(w) = -2*w**2. Calculate f(c(z)).\nAnswer: 679056*z**4 - 4*z**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2\/9*w**2 - 274\/9*w + 92\/3 = 0.\nAnswer: -138, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.67063*-38\nAnswer: 215.48394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*z**3 + 271*c - 8486*z**5 + 182*z**2 wrt z.\nAnswer: -12*c - 509160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -418*d - 1. Let r(b) be the third derivative of b**4\/12 + 616*b**2 + 2*b. Give r(f(z)).\nAnswer: -836*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963283.4 millilitres to litres.\nAnswer: 963.2834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + -50 - -37 - 78.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1151 + 1156. Solve 0 = 3*y + 3*o + 12 - 3, c*o = 2*y - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (444 + -264)*(-1 + 2 + (-39)\/(-15)). Calculate the highest common factor of j and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 16*s + 10. Let r be t(-15). Suppose -30 = b - 7*b. Sort 0, b, r in descending order.\nAnswer: b, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.2304?\nAnswer: 1.3824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in -4, 0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:45 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123308805559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1024, -2067, -3100, -4123, -5136?\nAnswer: -6139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46455?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.9 plus 0.8?\nAnswer: 289.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0*j**6 + 0*j**4 - 4*j + 0 + 0*j**5 + 1\/14*j**7 + 2\/3*j**3 + 0*j**2. Find the second derivative of p(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = -3*a. Let l = -2 - a. Is (3 - l) + 0 + 1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - r**2 + 1803*r**3 - 1814*r**3 + 5*r**4 - 241 + 239 + 2*r**2 as y*r**2 + n*r**3 + c*r + k*r**4 + t and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4331*k - 5. Let r(t) = -17*t + 1. Give o(a) + 3*r(a).\nAnswer: -4382*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 z when four letters picked without replacement from wwntzdzjnjjn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.3, -0.1, -824, 0.01, 9\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) - 36\/15. Let j be u\/6 - 10\/(-3). Suppose -j*a - s = -0*s - 108, -2*a - 3*s + 65 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 6, m: 6, p: 2, e: 2, i: 1}. Give prob of picking 1 p, 1 e, and 1 i.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8503, -8471, -8417, -8341, -8243, -8123?\nAnswer: -7981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -71. Calculate the remainder when 56 is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15235 and 67865.\nAnswer: 746515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**6\/40 + 3*d**5\/10 + 9*d**4\/8 + 20*d**2 - 3*d. Factor v(u).\nAnswer: 3*u*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) - (-4)\/(-3). Suppose 0*l - 5*l - 3*x + 6 = 0, -4*x + 8 = 2*l. Suppose -2*b + 2*o + 14 = l, -3*b - b + 8 = o. Put c, b, 0 in decreasing order.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298 + 295. Which is smaller: w or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 80*x + 746 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329581 is divided by 498.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. What is the third derivative of 3*j**4 + j**4 + 4*j**z - 6*j**4 - 4*j**2 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = -2*l. Let p(d) be the first derivative of 2*d**l + 1 - 2*d - 1 + 3 - 4. Differentiate p(k) with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 5, 1\/4, -7, -2\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2434, -4896, -7416, -10024, -12750?\nAnswer: -15624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - h - 47 = -29, -4*y + 72 = 4*h. Solve y = 10*a - 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - 29*d**2 + 14*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*f + 10*f. Suppose -28 = -f*v + 2*v. Let z(b) = 2*b - 6. Calculate z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 4.6?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*s - 648, 2*s - 461 = 4*q + 403. Let o = q + 467. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 0, -4*j - 4*m = -2*m - 1596. Let o = j - 4787\/12. Calculate the common denominator of o and -139\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 13*s = 315624. Is -1 + -4 + 8 + s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - 4)\/((-4)\/(-54) - 13780\/(-7155))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 9\/5*z**5 + 0*z**4 + 1\/6*z**6 + 47 + 0*z + 0*z**3 - 23*z**2. Find the second derivative of i(y) wrt y.\nAnswer: 20*y**3 + 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/5 + 2004*a**4\/5 + 179152*a**3\/5 - 1123168*a**2\/5 + 455712*a - 1529792\/5 = 0.\nAnswer: -902, -106, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3122 - 25?\nAnswer: 3064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 3*u + 9. Calculate n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -45*(96\/(-15) - 5) + -2. Let v be x - (4 + -2 + 12\/(-3)). Calculate the highest common divisor of 57 and v.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**5\/20 - d**3\/6 - d**2\/2 + 10*d. Let v(a) = -a**3 + a + 1. Give 5*h(u) + 5*v(u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/(-19) + (-46)\/437. Let g = x + 786. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 5 = 9*a, 4*a = 2*p + 2 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*s + 17 = 0, 19 = 4*m - 4*s - 1. Let f be (0 - 1\/m) + -55. Let o be (-2)\/(-4) - f\/(-16). What is the nearest to 0.1 in -1, o, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 60*y**3 - 30*y**2 - 21*y - 7. Let z(v) = -40*v**3 + 20*v**2 + 14*v + 4. Let d(q) = -5*o(q) - 7*z(q). Is d(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.765 + 10855148\nAnswer: 10855148.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnwwvffvnvn. What is prob of sequence wfwv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (429\/(-48) + 216\/24)*-6. Do b and 37\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:03 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174461507 and 21085?\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/2763 and -22\/594153.\nAnswer: 182404971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyyyyyyyyyhhyee. Give prob of picking 2 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -7 - 1, -12 = 4*i + 4*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15\/4, 1\/15, 3\/5, -0.5?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64857 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 3, -1\/2, 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1105 - 12?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-21)*(-35)\/(-10))\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-195)\/(-4095)*113\/(-64) and -83\/6.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1584) + 2)**2*1 - sqrt(1584)) + -4 + 2*(-5 + ((3 + (sqrt(1584) - sqrt(1584)*4))**2 - sqrt(1584))).\nAnswer: -564*sqrt(11) + 23752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 - -62.6?\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -22, -623, -2\/23?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -5, -24, -51, -86?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 4*r. Let b = -1 + r. Suppose b*z - 37 - 29 = 0. What is the greatest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4751 and 399409379.\nAnswer: 399404628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1645137100 to the nearest 1000000.\nAnswer: 1645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -360.59225788 from -87.\nAnswer: 273.59225788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 15*l + 9*l. Which is smaller: 0.3 or l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvvtr. Give prob of sequence ttr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36738247452*s - 2*s**3 - 36738247452*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 1. Let c(u) = -4*u + 1. Let s = 615 - 262. Let m = 352 - s. What is m*r(t) + c(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4.16, -1, 0.3, 2 in descending order.\nAnswer: 4.16, 2, 0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0. Let b = 1914 + -3909\/2. Let v = 575\/14 + b. What is the third biggest value in 3, 2\/5, v, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*a - 51 = -4*t, 4*t - 39 = 3*a. Let g = 12 - t. Solve g*n - 3 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 10*j + 20. Let s be o(-9). Suppose s*x - 7 - 15 = 0. Solve -a - x = -5, 5*b + 3*a - 19 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from shhccyhaychyhd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 70*x + 909. Calculate the remainder when o(-8) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/25)*u**8*u**10\/(u*u*u*(u\/u**(-6))\/u) assuming u is positive.\nAnswer: u**(227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248214261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 29 = 3*v - 26, 76 = 4*v - 4*j. Let b be 6\/(-10) + v\/30. Let p = b - -29. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8261104*t**5 + 14*t**4 - 140549624*t?\nAnswer: 165222080*t**3 + 168*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/5 - 64668*p\/5 - 348495852\/5.\nAnswer: -3*(p + 10778)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 8*h + 40317. Determine z(-205).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 121?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 467774.374 to the nearest one thousand.\nAnswer: 468000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010010001001101110110 (base 2) in base 5?\nAnswer: 2211222420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*m - 39*m - 131*m**3 + (-5*m**3 + 5*m**3 + 2*m**3)*(-2 + 4 + 0).\nAnswer: -127*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + s - 14 = 0, -3*a + a - s = 4. What is the lowest common multiple of 15*(1\/a - -1) and 19?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 416160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 137, 59?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/4)\/(21\/(-84)). Suppose -290 = -g*s - 26*s. Solve -36 = d - s*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 504510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 19*j**2 - 11*j - 7. Let o be g(-10). Solve -2*s = -2*a + 2, 5*a + 7 = 2*s - o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/(-204)*(-20)\/(480\/68)?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + -75 + 65.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17150 = 2*r + 17108 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24*-1*(-4)\/(-6). Let v(a) = 6*a + 24. Let m be v(-11). Let l = w - m. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = v - 397, r = -2*v + 52 + 31. Suppose 5*k - 5*s + 38 = -82, -2*s = 2*k + 36. Let g = r + k. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3 + 7. Which is the second smallest value? (a) -1\/4 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 12.9. Which is the third smallest value? (a) -0.1 (b) 0.08 (c) 0 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 19*v**2 - 23*v - 55. Let b be t(-20). Suppose -702 = -18*c + b*c. What is the highest common factor of 288 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 - 6*c**2 - 14*c - 50. Give d(-5).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 + 20*f**4 + 20*f**3 - 10*f**2 - 25*f - 10.\nAnswer: 5*(f - 1)*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/5 - 35776*m**3\/5 + 71558*m**2\/5 - 7156*m.\nAnswer: -2*m*(m - 1)**2*(m + 17890)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 320036 at most 320037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(-4*(4 + 1*sqrt(500) + sqrt(500)) - -6*(sqrt(500) + 2)*5))**2.\nAnswer: 77440*sqrt(5) + 975749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 368.4 + -341. Let k = c - 2.4. Let j = k + -25.00000075. Round j to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 + -2.81. Let j = -3 + 2. Let c = j + -3. What is the nearest to 1\/2 in c, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 73*f**2 - 13*f - 7. Let c(s) = -s**2 - 32*s + 100. Let a be c(-35). Is k(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -608080 divided by 8\nAnswer: -76010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 19. Let x be q(15). Solve 12 = 4*y, -x*y = -2*o - 5*y - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w - 162 - 157 = -66 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*-1*sqrt(32))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1857, -7784, -17665, -31500, -49289, -71032?\nAnswer: -96729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:16 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169.076 decades to millennia.\nAnswer: 1.69076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278 - 191. Calculate the remainder when o is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*c - 9 = 0, -6*b + b + 2*c = -40. Let u(w) = w**2 + 9*w - 20. Let f be u(2). Solve l + 6 = -x - l, -f*l - b = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731177957.\nAnswer: 3, 173, 257, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**4 + 2156*o**3 - 6520*o**2 - 8672*o = 0?\nAnswer: -542, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/(-15) - -17)*(-10 + 19 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.902082 litres to millilitres.\nAnswer: 4902.082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.237, -1\/4.\nAnswer: -5, -1\/4, 1.237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 72 = 0. Suppose 0 = -5*q + 2*w - 133 + 1265, 0 = -5*q + 3*w + 1123. Calculate the remainder when q is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 196*n**2 - 81*n - 8. Calculate d(3).\nAnswer: 1513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2335035*a**4 - 1522248*a wrt a.\nAnswer: -28020420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3641897 and 1022?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0388034553 rounded to six decimal places?\nAnswer: -0.038803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5579 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 198*f**2 - 192*f**2 - 2*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-706)\/8*(2 + -6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 13*r + 24*r)*(-2*r**2 + r**2 - r**2).\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5545409 and 5?\nAnswer: 5545404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12285, -24564, -36843, -49122, -61401?\n\"Answer: -12279*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207.76 - 207.56. Which is the nearest to -0.1? (a) -17 (b) 3\/8 (c) 3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*z + 160, -5*z + 390 = -q + 85. What is the remainder when 238 is divided by z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**2 + 5*c + 1. Let y be (4 - 3)*(12 + -9). Let q be ((-2)\/6)\/(y + (-280)\/96). Give s(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1444 + 22250?\nAnswer: 24024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = -3*d + y, -3*y - 8 = 4*d. Let v be (-12)\/8*d\/6. Let n = -0.5 + -0.5. Which is the closest to v? (a) n (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.113523125 to four decimal places.\nAnswer: 0.1135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) -1\/4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*z = -73*z - 26*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-1375)*0 - (1 + 1 - -23)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxxvxzzzex. What is prob of sequence vxx?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q. Let r(s) = s. Let p(m) = -2*c(m) + 22*r(m). Calculate p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by 30327.\nAnswer: 70\/10109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 360895 or 6857010\/19?\nAnswer: 6857010\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7723853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 109*g**2 - 2*g - 1. Let o be v(-1). What is the third derivative of 3*t**5 + 5*t**2 + 110 - o wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n, -808 = -2*y - n + 272. What is the greatest common divisor of 60 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*z - 3, v + 4*z + 11 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -1\/12*t**4 + 0*t**2 + 0 + 0*t**3 + 4*t - 1\/10*t**5 - 1\/30*t**6. Factor p(y).\nAnswer: -y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -11. Let v(g) = 69*g - 1. What is the tens digit of v(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50523*i**2*w**2 + 2*i**2*w - 2581*i**2 - w wrt w?\nAnswer: 101046*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*z + 63070 = 172718. What is the remainder when z is divided by 252?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131662246 a multiple of 2094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 1\/8, 4\/3, 5, -19\/42, -2\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 + 253 = 3*n + 4*i, 4*n = 5*i + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17033 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225180*a**2*c + 13*a**2 - 2*a*c + 902020*c wrt a.\nAnswer: 450360*c + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -384\/53?\nAnswer: -384\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 744107818 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-30)\/(-156690)). Let r be (1 - 0)*(-29358)\/6. Let k = f - r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78 + 5?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47 (b) 0.02 (c) -555\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 135976081*p**2. Let z(n) = -2*n. Give z(c(f)).\nAnswer: -271952162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12814 and 2354.\nAnswer: -30164156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 23*r + 18*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -976*r - r**2 + 83*r - 963*r + 40*r to the form x + o*r + k*r**2 and give o.\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000747685 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**7\/105 + 7*s**6\/120 + 29*s**3\/6 - 47*s**2. What is the derivative of r(n) wrt n?\nAnswer: 8*n**3 + 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19334933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 235 = -5*m, m = -3*s - s - 63. Which is the nearest to 2\/5? (a) -1\/8 (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7220 divided by -1444?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 11*l**2 + 59. Give s(11).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 35 + 7 - 2*k**3 + 4*k**2 - 3*k**2 + 4*k**3 - k. Suppose 21*r = 6*r. What are the prime factors of q(r)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 47*z**2 + 1435*z + 190. What is o(-21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -44*q + 20. What is c(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972861420?\nAnswer: 2, 3, 5, 179, 90583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m. Suppose -2*s + s + 4 = m. Solve 3*h + s - 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - v**2 - 3*v**2 + (9 + 11*v + 12 - 29)*(-6 - 1 + 4)*(-3*v + 3*v - v).\nAnswer: 31*v**2 - 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 10*m + 6, -5*k + 55 = -5*m + 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 503.9 + -504. What is the nearest to 0 in 0.4, i, 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b = 4. Suppose -h - 6 = -b*h. Suppose -6*k + 16 = -h*k. Solve -25 = s + k*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2643, 5289, 7935, 10581, 13227, 15873?\n\"Answer: 2646*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 12 + 27 - 10*t + 11*t**2 + t**3. Let b be k(-11). Let u(c) = 100*c + 3. Is u(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:04 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 24*m**3 + 2*m**2 - 2*m + 1. Let c(y) = y**2 - 10. Let z be c(10). Let g = 137 - z. What is the remainder when g is divided by u(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 13576, -0.2, -0.1, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 355.85 - 347. Let s = u + -4.91. Round s to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c + 263 = 63 - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*w + 438*w = -554*w - 43818 for w.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 8*k - 186. Let u be k*(3 + -2 + 0). Let l = u + -13. Solve -2*g + 4*x = -l, x + 3 = g + g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0227079 centuries to years.\nAnswer: 2.27079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0\/(l*l**(-2))*l**(3\/7)\/(l*(l\/l**(-6))\/l) assuming l is positive.\nAnswer: l**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 84, 3 in descending order.\nAnswer: 84, 80, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4010.\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 552*x = -560*x + 1108*x + 149, 0 = r - x - 28 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 33 (b) -8 (c) 0.4 (d) -2 (e) -2\/17 (f) 6\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22\/3, -201, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 9:47 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (45\/(-630))\/((-3)\/4). What is the closest to 15 in 1\/6, -0.4, 4\/5, f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/28 - (-315032)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.13 - 0.333?\nAnswer: 5.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/276 and -35\/138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16093495\/147 - 109480. What is the common denominator of c and 73\/6?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528784337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2257, -2255, -2251, -2245, -2237, -2227, -2215?\n\"Answer: n**2 - n - 2257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (2 - 10) - (-6 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*y + 4*y + 4*l, -4*y + 5*l = 4. Let m be (y\/18)\/((-5)\/(-3)). Which is greater: m or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h**2 + 17*h + 46. Let z = 40 - 50. Let v be m(z). Let y(n) = v*n + 4 - 1179*n - 4. Let x(q) = -28*q**2. What is x(y(s))?\nAnswer: -252*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.06 - -28.06. Sort 0.4, x, 3, 1\/4, 26.\nAnswer: x, 1\/4, 0.4, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119.94 + -121.94. Sort 0, h, 2\/5, 0.504, 2 in decreasing order.\nAnswer: 2, 0.504, 2\/5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39f (base 16) in base 11?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n, 2*l + 5*n = 8 - 4. Solve l*k = 7*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/8 - 59*q**2\/8 - 20017*q\/8 - 609205\/8.\nAnswer: (q - 185)*(q + 37)*(q + 89)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 7)*(6*f - 4*f - 4*f) + (-136 - 15 - 41)*(-1 + 0 - 1)*(-1 + 4 - 4)*(59 - 7*f - 59) to the form t + a*f and give a.\nAnswer: 2706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + a + 3 + (2 + 2*a - 2)*(3 - 1 + 7) - 3 + 3 - 3*a as i*a + q and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 2*l**2 + l**2 - 2*l**2 + 3 to z*l + c*l**2 + d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 22 + 0*y + 2\/27*y**3 + 1\/6*y**2. Factor m(l).\nAnswer: l*(2*l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13793\/6? (a) 3\/7 (b) 0.18 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 517250 and 75350?\nAnswer: 779495750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1791928*j + 26495*j**2 + 9263*j**2 + 1791928*j to the form c*j**2 + i + y*j and give c.\nAnswer: 35758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y = 57*y + 109, 6*d + y + 34 - 63 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 18*f + 1)*(-4*f + 5*f + 2*f) as y + a*f + r*f**2 and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -2, 9, -7, 28, 14.\nAnswer: -7, -2, 1, 4, 9, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = w - 2, 3 = 3*c + 2*w + 9. Let k(b) = 2*b**2 + 2. Let z be k(-3). Find the common denominator of (106\/z)\/(c\/(-4)) and 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1710*g*j**2*t - 5*g*j**2 - 2*g*j*k*t + 544*j**2*k*t - 1266*j**2 - k wrt g?\nAnswer: 1710*j**2*t - 5*j**2 - 2*j*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 3*i**2 - 10*i**3 + i**3 + 0*i**3 as o*i**3 + u*i**2 + p*i + l and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 499 + -499. Suppose -4*r + 21*r - 1088 = t. Calculate the lowest common multiple of 24 and r.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 19 + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/360*-10 - (-53)\/(-9)*-1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.1, -3\/7, 5\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 2\/17 (b) -3\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-2)\/10*92\/(-69))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 937901 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 12*l + 189. Let g be p(21). Let u(m) = 9*m - 4 - 7*m + g. Give u(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787083865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-12))\/((-4)\/(-24)). Let a(h) = 6*h**2 - 2*h + 1. Let g be a(r). Suppose x = 5*t - 5, 4*x + t = g*x + 5. Is -6 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + 181. Let z = -299 + d. Let g(u) = -u + 4. What is g(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 67*s**7\/210 + 7*s**6\/60 + s**5\/6 + 103*s**3\/6 - 325*s**2. Find the third derivative of p(c) wrt c.\nAnswer: 1608*c + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 + -4.62. Let y = -0.7 + h. Let q = -4.6 - y. What is the second biggest value in 1\/4, 0.2, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z**2 - 188\/5*z + 4\/5*z**4 - 52\/5*z**3 - 64\/5 = 0. What is z?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 5.\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 26730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-14))\/(2\/7). Suppose m*l = -3*b + 1 + 15, 17 = 2*b - 5*l. Solve 0 = 5*q - 9 - b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -201, -476, -861, -1356, -1961, -2676?\nAnswer: -3501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.2 - 7.7. Which is the second smallest value? (a) 0.2 (b) 0 (c) -1\/3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 38 = -5*c + 52, 3*c + 4*i = 40. Determine z so that -3*z**3 + 2*z + c*z**2 - 6*z**2 + 11*z**3 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 9 = 3*y - 2*y, 3*p + 7 = y. Let s be 1 - y - (-10)\/(-105). Let h be 34\/(-72) - (-5)\/20. What is the third smallest value in h, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59\/106 + -3\/53. Sort 5, a, -3\/4 in descending order.\nAnswer: 5, a, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - sqrt(432)*1 - sqrt(432) - sqrt(432))*2)\/(-1*sqrt(768)))\/((sqrt(24)\/(sqrt(6)\/sqrt(3)) - (sqrt(12) - sqrt(24)\/sqrt(2)*4))*1).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38765294*c**2*d**2 + 2*c**2*d - 17167*c*d**2 - 2*d**2 - 347*d wrt c?\nAnswer: 77530588*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (sqrt(70)*1*3 - sqrt(70))\/sqrt(10) + (sqrt(7) - -3*(sqrt(7) + 0 + sqrt(7))) + 1.\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*y + 51 = 8, 4*j - 5*y = 54. Let i = -8.8 - 0.2. Put i, -4, j in decreasing order.\nAnswer: j, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -40*k - 212. Determine w(-10).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1580 and 27\/220.\nAnswer: 17380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - (-4 + (-14)\/(-2)). Let t(x) = x**3 - 6*x**2 - 7*x + 7. Let z be t(d). Suppose -80 = -z*f + 3*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1801*s. Let o(g) = -399*g. Calculate b(o(y)).\nAnswer: 718599*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 2 - 3*n**2 + 4*n)*(0 + 23 + 28).\nAnswer: -153*n**2 - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106000691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = n + 7. Let l = n + -13. Suppose -4*w - j = 4*j - 83, -j - 45 = -l*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -22*f**2 - 2*f + 3. Let g(m) = m**2 + m - 1. Give -4*g(u) - x(u).\nAnswer: 18*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*a**3 - a**2 + 490*a + 2 wrt a?\nAnswer: 426*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*u + 231737*h**3*u**3 - 81485*h**2*u**3 - 20*h**2*u**2 - 2*u**3 wrt h?\nAnswer: -24*h*u + 1390422*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m. Let h = m - 2. Let p be -159999 + h\/(1 - -1). Round p to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 4 - 4)*(13*p + 1 - 1).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/506 and 17\/10.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7545.32 + 7394. Round s to 0 decimal places.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 2*g + (1 - 3*g - 1)*(-7 + 6 - 5) to h + x*g and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1412441?\nAnswer: -1412441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 280464673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 333, 284, 233, 180?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5479787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -288.\nAnswer: -5\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -1)*(-1)\/2. Let w be 35\/10 - y\/(-4). Suppose w*c - 32 = -a, 4*a + 6 + 1 = -c. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(0 + (-15)\/(-6)). Suppose -m*l + 2 = 7. Which is the closest to 2\/9? (a) 2 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (23 - -3 - 42).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i - i)*(3*i**2 - 2*i**3 - 3*i**2) + 28*i**4 + 21*i**4 + 7*i**4.\nAnswer: 60*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/26 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9327, -9329, -9331, -9333?\n\"Answer: -2*z - 9325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6412430 and 5530.\nAnswer: 44887010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -132*n - 4. Let y(k) = 13585*k. What is y(b(g))?\nAnswer: -1793220*g - 54340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -85. Suppose v = 4*b + 1. What is the second derivative of 2*g + 6*g**2 - b*g**2 + 5*g**2 wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9862.63 nanograms in grams?\nAnswer: 0.00000986263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -288.6000003228 + 288.6. What is v rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3194\/19 - 168. Let o be 2\/(-9) + 14\/(-18). Is k bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a**2 + 30*a. Let m(p) = -998*p**2. Determine z(m(s)).\nAnswer: -13944056*s**4 - 29940*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-15) - (-16)\/20. Suppose z - 5 = s. Suppose -4*y = 5*a - 35, -z*a + y + 35 = -a. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -147617*r. Let z(h) = -2*h**2. Determine z(u(p)).\nAnswer: -43581557378*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86088417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11820\/340 - (-672)\/2856?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/11 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1996 + 2000. Solve 10 = -i*c + 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1210201 + -33321?\nAnswer: 1110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 6) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s - 60037*s**3 + 0*s**2 - 32*s + 60042*s**3 + 0*s**2.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*v**3 - 80*v + 34*v**3 + 85*v - 2*v**2 to the form i*v + x*v**3 + n*v**2 + m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4927\/7 in -2\/15, 5, -4, -1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d (base 15) to base 9.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*q + 61 + 419 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111101111001011010 (base 2) in base 12?\nAnswer: 52964a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-1 - sqrt(63)\/sqrt(81).\nAnswer: -31*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39172562, -39172563, -39172564?\nAnswer: -39172565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17262500 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 32. Let w(g) = -g**2 + 2. Calculate w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/20 + 2*y**4\/3 + 5*y**3\/3 - 5*y**2 - 38*y. Determine r(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9004254.67 rounded to the nearest 10000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3071937?\nAnswer: 3, 11, 93089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*g. Solve g*v + 4 = -6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**2 - 381*r + 2715. Let u(m) = -20*m**2 + 760*m - 5431. Let q(b) = -6*u(b) - 11*v(b). What is the derivative of q(x) wrt x?\nAnswer: -2*x - 369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*o*p**3 + 134*p**3 wrt o.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-7)\/42*8\/(-10). Let q = -4.94 - 0.06. Let m = 0.65 + 0.35. Sort l, m, q, -1 in ascending order.\nAnswer: q, -1, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64394416195 - 0.16.\nAnswer: 64394416194.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + -46 + (-6 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 58, -3, 0, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*a + 0 + (4 + 1 - 3)*(1 + 5 - 4)*(2*a - 3*a - a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.3 in 2, 7, -3\/5, 3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - w = 34, 5*d - w = -3*w - 185. Does 13 divide ((-8)\/12)\/(2\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -24) + (3 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 117. Is p\/((53475\/(-17826) + 3)*2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 100250.\nAnswer: 100250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 204 * 12\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 - (-18 + -59 - -286).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 11 = -12*o. Suppose 2*m + 86 = 4*t, o*m + 7 + 2 = 0. Solve 2*h + c = 7 - 2, 0 = -h - 4*c + t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -46. Suppose -5*n = -3*b + 7 + 1, 4*n + 3*b = -1. Let z be g\/(-2) + n\/2. Solve z + 1 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -348687.8 - 585332.\nAnswer: -934019.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1088) - (sqrt(1088) - (sqrt(1088) - sqrt(1088)*-1))))**2*6 + 5*5*(sqrt(1088)*1)**2.\nAnswer: 967232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/7)*u*u**21)\/(u**(-26)\/u*u**(-36)) assuming u is positive.\nAnswer: u**(607\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(7\/4)*f**(-30)*f**(-17)*(f\/(f\/(f*f**24)))\/f assuming f is positive.\nAnswer: f**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 26*b - 13. Let o(g) = 5*g - 4. Give 3*j(i) - 10*o(i).\nAnswer: 28*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -20*z - 22. Let a = -353 + 351. Calculate the remainder when 104 is divided by x(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n. Let p be b(-1). Let u be (-67)\/((3\/p)\/1). Suppose 5*s + i = 252, -5*i = -4*s + u - 78. Calculate the highest common factor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3726, 15028, 33846, 60168, 93982, 135276, 184038?\n\"Answer: -2*l**3 + 3770*l**2 + 6*l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 i when three letters picked without replacement from ssissssisisissiiiss.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 7 = -3. Let p(d) = -2*d + 5. Let z(x) = -x + 4. Let n(l) = 5*p(l) - 6*z(l). What is the units digit of n(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 672.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 203, 272, 341, 410, 479, 548?\n\"Answer: 69*m + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 99651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/((-77)\/14) - 6\/3. Suppose -w + 8 = -4*h, -3*w - 4 = -2*w + 2*h. Solve w*g - 2*g - 4 = k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, r: 4, a: 4}. Give prob of picking 2 a and 2 r.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:40 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/32)\/(4\/(-16)). Suppose 2*x + 0*x = 0. What is the nearest to 0 in x, v, 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2172 and 10860?\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1328235490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 8:21 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4, -2*g - 15 = -5*t + 77. Let v be (-17)\/((-15)\/t + (-2)\/(-8)). Suppose -v = -y - 38. Let d(u) = u**3 + 5*u**2 + 4*u - 3. What is d(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 4*q - 2*q)*(-926 - 406 - 113)*(2 + 1 - 2).\nAnswer: -1445*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:56 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1389 - 1383. Let s(a) = -a - 1. Let k(i) = -i**3 - 6*i - 1. What is z*s(f) - k(f)?\nAnswer: f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4160 = -6*n - 5*f, 3*f = 2*n - 2748. Suppose -6*d = 6*d - n. List the prime factors of d.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/14*(-1491)\/2556).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/22)*r)\/r*r*r*r\/r**(-5\/2)*r)**(2\/15) assuming r is positive.\nAnswer: r**(142\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - b = -5*b + 16, 0 = 5*d - b + 4. Solve d = -2*t - 3*u - 1, -3*u + 0 = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 20*f**2 - 14*f - 518. Determine z(-17).\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = 6. Suppose -y*t + 133 = t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778 a factor of 75132946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3721946.1 rounded to the nearest ten thousand?\nAnswer: -3720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 5*y - 3. Suppose 6*q - q = 15. Let v be s(q). What is the units digit of 3*v\/3 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0894568 years in decades?\nAnswer: 0.00894568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52230 is divided by 17376.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*b - 37, 500*b + 497*b - 33 = -4*n + 1490*b - 496*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:10 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -12*i - 15. Solve 9 = i*k + 34 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/75*5\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4*r**3 - 38*k**2*r**3 + 3*k**2*r + 2*k*r**3 - 34*k*r wrt k?\nAnswer: -12*k**2*r**3 - 76*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18340?\nAnswer: 2, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 489989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-22) - 191344\/(-176) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grlxrgqxugxrxluulxrl. What is prob of sequence lr?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**3*y))\/(y\/((((y\/y**5)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d - 3aa?\nAnswer: -31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - 43 - -90 - (2 + -41).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398941848?\nAnswer: 2, 3, 163, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2027753 = -5*q, 0*z - 10 = -5*z. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*m - 158, -5*m - 173 = 3*i - 2*i. Let z = m + 50. Solve 5*q = 2*j - z, 3 = j + 3*q + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.6 + -38. Which is the smallest value? (a) 1\/2 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-217)\/(-124) - (-77)\/(-44). Solve -14*r + 34 + 36 = c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 7*v**2 - v - 3. Let i be o(-7). Suppose -g = r + 17, i*g - r + 43 = -0*r. List the prime factors of 2*g\/8 + 25.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12935\/17 - -761. What is the closest to 2 in -5, -0.3, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11770\/3 + 4009. Suppose 425 = q + 4*q. Let i = q - d. Are i and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*u = 26, 2613 = 3*n + u + 2615 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 11. Let i be v(-6). Suppose 4*x + i = 5*x. Let k be (-22 - -19) + (x - 6). Put 5, k, -4 in decreasing order.\nAnswer: 5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccz when three letters picked without replacement from cvczzcz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 32. Let w(c) = -c - 12. Let d be w(-8). Let n = d - t. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose 0*t = t - 2. Factor h + t*h**2 - h**u + h.\nAnswer: h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 2:26 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 19329 and 19329 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30259503.\nAnswer: 3, 31, 108457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 - (0 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -26.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 29*k + 320. Let h be o(-10). Solve -2*f = -5*i + h, 41 = -5*f + 2*i + 2*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 960*v**3 + 75831*v**2 - 155526*v.\nAnswer: 3*v*(v - 2)*(v + 161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 199 - 138. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -50. Let b = o - 31. Let i = -20 - -21. Is i < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 389 + 388 = 0. Let f be 42*7\/98 + 2134\/(-8). Let j = l + f. Is j >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 - z - 17. Let i be g(-6). Let n = -2814 + 14127\/5. Let x = i + n. Which is the nearest to -1? (a) -0.3 (b) x (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 4, 3 in ascending order.\nAnswer: 3, 4, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -13, -1\/5, -5, -30, -62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -111010101010010011001?\nAnswer: 111010101010010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Suppose -l = 2*w + 14, 16 = -3*w + 1. Let a be (-2)\/l + (-5)\/(-10). Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*i + 14 = 0, 32 = 3*m + 3*i - i. Suppose 1086 = m*j - 174. Calculate the remainder when j is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/180 - c**5\/90 - 16*c**2. Factor n(d).\nAnswer: -2*d**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*j**2 - 4*j - 174*j**2 + 4*j.\nAnswer: 41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 68866 = -2*f + g, -3*f + 3*g + 103299 = 0. Is f 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 jjbujbuouububbb. What is prob of sequence jubb?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*l**4 - 1\/3*l**3 - 1\/6*l**2 + 0*l + 0.\nAnswer: -l**2*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12323 + 12324.4094. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0 + 3\/2*g**2 + 8*g - 4\/3*g**3. List the prime factors of l(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 35*b + 2*d = -24, 0 = 2*b + 4*d + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -64 + 14 + 15 - 11*s + 14 + 15 - s**2. Let o(d) = -2*d**2 + 4*d - 1. Let p be o(3). Calculate the smallest common multiple of c(p) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-26) - 1\/6. Let q = -9\/13 - p. Let u = 153\/280 - 6\/35. Which is the closest to 1? (a) u (b) -2\/19 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/15*(-55)\/(-2). What is the units digit of (-3)\/(-5) + a\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -557.95159 to zero dps.\nAnswer: -558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 368285 at most as big as 368285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 615384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-42)\/399 - 34\/38).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + b - 43903422 = -337903424, -5*q + 2*b + 367500004 = 0. Suppose -4*i + 9*i = -q. Round i to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3207088 is divided by 1727?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 - 4*l**2 + l - 1 + l**4 - 3*l**2 to o + u*l**2 + s*l**4 + t*l + f*l**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3937*b**2*q*v - b**2*q + 35*b**2 + 97*q*v - 3*q + 58*v with respect to b.\nAnswer: 7874*b*q*v - 2*b*q + 70*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b - 31?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + a**2 + 0*a**2)*(2*a - a**3 - 272*a**2 - 27*a + 273*a**2).\nAnswer: -2*a**5 + 2*a**4 - 50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*y + 3*i + 6, 3*y = -5*i - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 3*l + 616. Calculate the smallest common multiple of l\/(-8) + (-6)\/8 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/5)\/y*y*y**(-12)*(y**(-2\/11))**(-11\/4) assuming y is positive.\nAnswer: y**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:40 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -1.1. Let z = -0.0317 - 0.1683. Which is the smallest value? (a) z (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*u = -68*u - 7429 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371708 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 816668 divided by 787?\nAnswer: 816668\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69467\/3 + 22739. Let n = 407 + v. Let r = -2606\/3 + 10139\/12. What is the common denominator of r and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**9\/12096 + u**8\/1680 + u**7\/672 + u**6\/720 + 29*u**3\/6 + 41*u**2. Let z(k) be the first derivative of y(k). Factor z(p).\nAnswer: p**2*(p + 1)**2*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*t - 65, w = 4*w + 2*t - 79. Let n = 20 - w. Let k(s) = -s**3 - 6*s**2 - 9*s + 5. List the prime factors of k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 7*i + 6. Let y be b(-4). Solve -u = u + y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(-4 + 82\/20). Put 1, 3, -1, r in descending order.\nAnswer: r, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 61*u**7\/42 + u**6\/120 - 7*u**5\/60 + 8*u**3\/3 - 4*u**2 - 5*u. What is the third derivative of l(m) wrt m?\nAnswer: 7320*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 4. Let c = 757 - -492. Let g = -1249 + c. Sort g, -4, s.\nAnswer: s, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -4*c - 4500. Suppose 0 = -7*k - 5*k + c. What is the greatest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-8 - -3)*(-2)\/(-5). Let j be (14\/42)\/(u\/114). Let b = 1 + j. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*c**5 + 3205*c**4\/2 - 13055*c**3 - 139430*c**2 + 16620*c + 28080 = 0. What is c?\nAnswer: -6, -2\/5, 1\/2, 18, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 + 51*a + 62. Calculate y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 14*k - 5. Let w(h) = -1. Give -g(c) + 6*w(c).\nAnswer: -c**2 - 14*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 3*f + 2. Let o be t(-3). Suppose -2*y = -4*m - 2 + 46, -m = -o*y - 8. Factor -3*g - 2*g - 4*g**4 + m*g**3 - 8*g**2 + 5*g.\nAnswer: -4*g**2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 152893?\nAnswer: -152891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 - 4*o**2 - 8. Let r(m) be the second derivative of j(m). Let u(h) = -9*h - 12*h + 16*h. Calculate 3*r(a) - 4*u(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3031002323 + -3?\nAnswer: -3031002332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 390.754 - -0.246. Let h = 391.00000014 - a. Round h to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:24 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -640, -1116, -1742, -2554, -3588, -4880?\nAnswer: -6466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1961.\nAnswer: 196.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 - 5*w**3 + 26*w**3 + 10*w**3 + 15*w**3.\nAnswer: 39*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-30)*(82940\/3828)\/((-2)\/(-3))\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 588751339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115 - 59. Let s = -720 - -776. Are d and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 17*h**2 - 12*h + 96. What are the prime factors of m(6)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-66)*-11)\/(30\/(-4))*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14*u + 6143 = -19*u, 4*r = 5*u + 24572. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 2*x**2 - x**2 + 10*x**3 + 2*x**3 - 14*x**3 to r + i*x**3 + f*x + v*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 806482 and 62?\nAnswer: 25000942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let t(h) be the first derivative of 3\/2*h**2 - 1\/12*h**4 + 0*h + 0*h**3 - 3. Let f(w) be the second derivative of t(w). Determine q(f(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**19*(o\/(o*o*o\/o**(-1\/20)))\/o*o**(16\/9)*o**(11\/2) assuming o is positive.\nAnswer: o**(4181\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1221826, 1221874, 1221926, 1221982, 1222042, 1222106?\nAnswer: 1222174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 2*h - 1. Let c be w(-2). Suppose c*l - 12 + 3 = 0, 0 = -3*v + 3*l + 3. Suppose -v*b - b = 0. Solve b = -3*g + 2*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -78\/382097?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 260, 526, 796, 1070?\n\"Answer: 2*l**2 + 260*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 42 = -2*o + 5*b, -o = 3*b + 47. Let y = -41 - o. Solve 0 = -y*x - 3*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 divided by 8934?\nAnswer: 97\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*g - 7, 3*p = 7*g - 11*g - 21 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3298*c + 3287*c + 3267*c - 9902*c.\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 11) in base 15?\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihrb when four letters picked without replacement from {r: 9, i: 1, h: 1, b: 7}.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5))\/((-31)\/1860). Which is smaller: h or -23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2506834, -5013644, -7520428, -10027186, -12533918?\nAnswer: -15040624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12518*b**3 - 123*b**2 - 3*b + 841796?\nAnswer: -75108*b - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 + 67. Let u be 1*((-5 - -6) + -42). Are s and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 108*z + 106. Give b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/20*(2 - 196). Let a = p + -174. Let j = 1 - -1. Is a bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/1912?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 7. Let t(i) = 3*i + 7. Let w(h) = -6*o(h) + 5*t(h). Let s be w(-4). Suppose 2*m - 16 + 6 = 0, -2*b = -s*m - 45. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w + 5. Suppose 4*h + 0*h - 3*j - 12 = 0, -4*h + w*j + 4 = 0. Suppose 4*k - 3*k - h = 0. Calculate the highest common factor of 30 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201121212 - -12202222?\nAnswer: 10221101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 108.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10608704 and 3228736.\nAnswer: 74260928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*r + 4*c - 3, -5*r - 5*c = -15. Let i be 2 + -1355*(-2)\/(-14). Let p = i + 192. Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21812 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 41) + (5537 - 5556)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.8289 grams to milligrams.\nAnswer: 602828.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24254707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -626721*c**3*k**4 - 2*c**3 + 3*c*k**4 - 392440 wrt k?\nAnswer: -2506884*c**3*k**3 + 12*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 22, 15, 8, 1, -6?\n\"Answer: -7*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -153, -844, -2417, -5208, -9553, -15788?\n\"Answer: -56*v**3 - 105*v**2 + 16*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/1)\/(70\/5 + -9 + -3). Solve 4*m - d = 5*g, 2*m + 12 - 4 = -2*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, m: 3, r: 1, z: 5, e: 3, g: 1}. What is prob of picking 1 e, 1 z, and 1 g?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 342 + -16. Let l = 329 - d. Solve m + l*r = r + 5, 5*r = -4*m + 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 1 + 2. Let f = 8 + -5. Suppose 4*z = o - 27, 0 = 4*o - 9*o + f*z + 101. Solve -s - s + 5*h - 10 = 0, 0 = -k*s - h + o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -36*k + 16. Let v(x) = -179*x - 7. Let r(z) = 60*z + 2. Let s(o) = -3*r(o) - v(o). Give -h(i) + 16*s(i).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t**2 + t - 4. Let o be m(2). Suppose 519 = 4*c - 5*b + 203, -c + o = 5*b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740544 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 158.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*i**2 - 341*i**2 - 3919*i**2 as s*i**2 + v*i + h and give s.\nAnswer: -4226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 518 - -3768.9. What is d rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*k - 0*s - 142, -5*k - s = 250. Let c = -33 + k. Let h = -59 - c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 671*w + 73*w + 94*w to v*w + y and give v.\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -27. Suppose -7*p + n*p - 5*y + 32 = 0, 5*p + y - 34 = 0. Calculate the lowest common multiple of p and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16691471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2 - 1586*q + 71896 = 0.\nAnswer: -836, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.034 + 0.034. Let f = l - -20.1. Which is greater: -9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*n, 2*q - 2*n = 3*q - 10. Calculate the smallest common multiple of 9 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-69)\/(-46)*128\/6. Calculate the greatest common divisor of f and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 27*j**2 - 141*j - 660. Give w(16).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480429?\nAnswer: 3, 53381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 34c?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -223 - -251. Suppose 0 = -4*x + 8*x - h. Let g(a) = a**2 - 4*a + 3. What is g(x)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:00 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 8*o + 55 = 2*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -2 + -107 + 70.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-96)\/63)\/(9\/(-81)*2)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -1.5, -0.4, 2\/17?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7690*x + 95*x**2 + 7690*x to r*x**2 + d*x + i and give r.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 34*g - 13*g + 28*g.\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -276 + 316. Does 38 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-5)\/(-1))*46\/((-1012)\/330).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*j**3 - 287*j**3 + 100*j**3 + 89*j**3 + 6*j**2.\nAnswer: -15*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.82282 nanometers in meters?\nAnswer: 0.00000007982282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 9. Let h be x(7). Suppose -4*o - h*s = -20, 0 + 18 = 5*o - s. What is the greatest common factor of o and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 3*v - 12*v**2 + 11*v**2.\nAnswer: 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 438975 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 24. Let s(r) = r**2 + 13*r + 22. Let v be s(z). Factor 5*i**2 + 0*i**2 - 5*i**4 - 5*i**5 + v*i**2 + 5*i**3.\nAnswer: -5*i**2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 153.76942 and -0.1.\nAnswer: 153.66942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 33. Let w = 65 + -59. What is the least common multiple of w and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*b**2 + 6 - 12*b - 3\/2*b**3.\nAnswer: -3*(b - 2)**2*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 7889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8)**(-3\/22)\/(f**(-2\/41))**(1\/26) assuming f is positive.\nAnswer: f**(-6385\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 88 = 4*t, t - 3*t = -3*z + 112. Suppose -z = 5*o + 1. Let j(i) = i**2 + 7*i + 3. Let n be j(o). Solve n*h - 5 = 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6180 - 6176. Let b(u) = 5*u**2 + u - 4. Let m(x) = 9*x**2 + 2*x - 8. Give c*m(r) - 7*b(r).\nAnswer: r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 take away -10263344?\nAnswer: 10263286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yymympmkym.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 3. Let x(p) = -p**3 - 5*p**2 - 3*p + 5. Let b be x(-4). Suppose 3*i + b - 7 = 0. Suppose -2*g - i*g = -12. What is c(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.4 (b) 1 (c) 2\/7 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = d - 5*d + 8, -3*d + g + 6 = 0. Let h = d - -3. Suppose h*v - 15 = 0, n - 213 = -3*n + v. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 22 - 7. Let i be (-10 - 1) + v\/(-3). Let g = i + 11. Do 2\/7 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/20 + 113*b**3\/6 - 4*b**2. Let o(l) be the first derivative of z(l). Let d(f) = -4*f**2. Calculate o(d(n)).\nAnswer: 288*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3321, 7038, 10755, 14472, 18189?\nAnswer: 21906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 237*r**3 + 3*r**2 - 3*r - 3. Let y be n(3). Suppose 0 = 2*x - t - y, -2*x + 6*x + 4*t = 12828. Is (1 - 0)\/(0 + 3\/x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 30*r**2 + 519*r - 1302. What is y(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b + 2*y + 14, 4*b = -3*y - 19. Is (45\/b + 2)*-12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 5118128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 30 - (2 - (1 + -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 69 = 6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, c: 1, v: 2, z: 1, t: 2, y: 1}. Give prob of sequence tgzc.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3908 + 3908. Solve -4 = -3*g - 4*m + 12, a = g - 4*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6182)\/(-1078))\/(-2 - (-330)\/166). Let w = s + 476. Suppose 6*d = 2*z + d - 8, 5*z + 3 = d. Is w >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/37 - 13\/148. Which is the nearest to 2? (a) s (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*b. Let m be b\/(-9)*(-3)\/1. Suppose 4*a - 14 = -2*j + 52, j + m = 0. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t - 40 = 0. Let v = 23 + t. What is the units digit of (v - 4 - -3)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5183 - 5180. Factor 2\/7*z**h - 4\/7*z**2 + 0 + 0*z.\nAnswer: 2*z**2*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/3 + 527633396*y\/3 + 34799625071811602\/3 = 0.\nAnswer: -131908349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 6 - -3 - (7 + -3 + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(500) - sqrt(500)*-2) + sqrt(500) + 5 + sqrt(500))*3 + (-3*(sqrt(500) + -4) + sqrt(500) - (-4*(sqrt(500) - sqrt(500)*-4))**2).\nAnswer: -200033 - 470*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 w when four letters picked without replacement from {a: 4, x: 1, v: 3, w: 5}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3216 and 352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-8 + 2) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -100, -318, -736, -1420?\n\"Answer: -11*d**3 - d**2 - 4*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 17. Let v be y(8). What is the units digit of 9\/(-21) - 87\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 43. Let x = k - -4. Let i = x - 4.999911. What is i rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, 27 in increasing order.\nAnswer: -5, 27, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/(-6)*12\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 1653*i\/4 + 1659\/2.\nAnswer: -3*(i - 2)*(i + 553)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a centimeter in millimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53442255 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7372, 14745, 22118, 29491?\n\"Answer: 7373*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 28*l**2 + 5*l + 4. Let b(c) = -2*c**3 + 3*c**2 - 1. Let j be b(2). Is h(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-72)\/33 + 2). Suppose 0*t + t = s + m, -12 = -4*t - 4*s. Suppose 0 = 3*i - t + 1. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2994\/11 - -272. Let q = 37.9 + -38. Which is the biggest value? (a) q (b) o (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 24835887103894?\nAnswer: 24835887103899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d. Let j(v) = v**2 + 6*v - 6. Let q(k) be the third derivative of -k**5\/60 + k**3\/6 + k**2. Let l(b) = j(b) + 6*q(b). Give l(s) + 6*p(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 3*y + 43, 5*h - 18*h - 4*y - 21 = -18*h + 37 + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/62 and -173\/42?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 + 1679*j - 48645. What is t(-447)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6)*z)\/z)\/z**(-4))**23*((z\/z**(-8))\/((z\/((z**(1\/2)\/z)\/z)*z)\/z))\/((z*z\/((z\/z**3*z)\/z*z))\/z**(-1\/7)) assuming z is positive.\nAnswer: z**(-597\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -18*k + 124, k - 16*z + 7*z + 1 = -14*z - 11 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z + 20, 1226 = j + 2*z. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 4. Let j(p) = -p - 11*p + 19*p - 9. Let i(u) = -4*j(u) - 9*n(u). Let c(o) = -7*o - 2. What is -c(h) + 4*i(h)?\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/76 and -49\/2021163.\nAnswer: 8084652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - -2 - (0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s. Let u = -2 - 0. Let p be r(u). Let y(z) = -4*z - 4. Let i be y(-3). Calculate the highest common factor of i and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -41. Solve 0 = f + 5*z, -f - f + 2*z - y = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - 0.6. Let i = o + 0. Let a = i - -2. Put -4, a, -0.3 in increasing order.\nAnswer: -4, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 143 (b) -1\/10 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(0 - 6\/(-4)) - -7. Suppose -b - 2689 = 5*f + 2*b, l*f + 2150 = -2*b. What is the tens digit of f\/(-10) + 10\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z - 3*z)*(-7 + 6 + 16)*(-4 + 4 + 1).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 14.5. What is the closest to 0.1 in -2\/13, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:52 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189*u*y - 75*u - 1 wrt y.\nAnswer: 189*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6631 = 20*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(5\/60). Solve -c = -z*d + 16, -5*c + 40 = 3*d + d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, and 2 l when four letters picked without replacement from {r: 1, d: 4, o: 1, l: 3, e: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 34141\/194 (c) 2\/11 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -12*r - 54, 0 = 4414*r - 4420*r - 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0617 + 406.\nAnswer: 406.0617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**3 + 2*x**2 - 5*x + 2. Let p(n) = 5*n**3 + 2*n**2 - 4*n + 2. Let c = -92 + 96. Let r be (39\/9 - c)*-12. Determine r*s(d) + 5*p(d).\nAnswer: d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 78 = 85. What is the closest to i in -1\/2, 0.5, 0.029, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8838 (base 9) to base 10\nAnswer: -6515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l + 38. Let w be b(7). Suppose 0 = w*c + 2*s - 2735 - 1852, 5*s - 3047 = -2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by (266\/76)\/(14\/60).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1550 + 1555. Let q = -35 - -22. What is the nearest to -3\/2 in -1, q, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 30. Determine s(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 - 4*g - 5*g**4 + 0*g**4 + 2*g - 21*g**2 to the form j + h*g**2 + o*g**3 + a*g**4 + r*g and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658\/5 > 331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/28*(-24)\/(-2). Suppose -2 + f = -w. Let p be (w\/3)\/(2\/4). Sort p, -3, 4.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + 9 + 10439*l - 10*l**3 + 10 - 10440*l + 2*l**4 in the form k*l**2 + j*l**4 + w*l**3 + v + d*l and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdn. Give prob of sequence xx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - b - 1. Let f(x) = x**3 - 20*x**2 - 70*x + 31. What is the remainder when f(23) is divided by t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + k)*(-2 - 2 + 5 + 1 - 4 + 4 + (2 - 1 - 2)*(1 - 3 + 0) + 0 + 3 - 2 + (-2 + 4 - 1)*(-1 + 2 - 3) - 5 - 3 - 2)*(9*k + 22*k - 19*k).\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/12 - -1)*-8. Calculate the remainder when 16 is divided by l\/(-21) + 65\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2. Let l(x) = 25*x - 3*x**2 - 25*x + 12*x**2. Calculate l(b(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d - 2. Let j = -77 + 75. Let g(n) = n - 1. Let v(l) = j*k(l) + 4*g(l). Let p(f) = f. Give p(v(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15549 - -7970?\nAnswer: -7579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1081593*h - 64277 wrt h?\nAnswer: 1081593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**2*c**2*v**3 - 3*a**2*c**2*v + a**2*c*v**2 - 63*a*c**2 - 2*c**2*v**3 wrt v.\nAnswer: 42*a**2*c**2 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*m + 3, 2*m - 65 = -5*p - 2*m. Let t be 2 - 0 - 3\/(-3). Suppose -4*v + 12 = 0, 38 = u + t*u + 2*v. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from bbrrrrrrbrb?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 0*h - 2*h - 52*h**2.\nAnswer: -52*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 90591 + 547408. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**4 - 2*a**4 - 3*a**4 + (0*a + 0*a + a)*(-1 - 2*a**3 + 1) + 3*a - 7 - 10*a + 29*a**4 - 31*a**4.\nAnswer: -3*a**4 - 7*a - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let i(b) be the second derivative of -b**3\/3 + 51*b**2\/2 + 60*b. Determine i(t(v)).\nAnswer: -2*v + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15337, 61343, 138013, 245341, 383321, 551947, 751213, 981113?\n\"Answer: -t**3 + 15338*t**2 - t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1146691\/122312 - -2\/15289. Let v be -2 + ((-156945)\/11842)\/(-5). Let w = 39\/191 + v. Calculate the common denominator of w and n.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 13*v**2 + 29*v - 29. Calculate t(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10)**(-42) assuming u is positive.\nAnswer: u**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 1\/7 - 9\/63. Solve -p = j*h + 2, 4*p = -p - 2*h + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 1:50 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(324)*-1 - sqrt(9)) + 2)**2.\nAnswer: -4*sqrt(19)\/7 + 215\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(0 + 0 - 4*d)*((3 - 3 - 1)*(-2*d + 2*d - 2*d) - 4*d + 3 - 3).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -413, -4, -213 in increasing order.\nAnswer: -413, -213, -4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41343.444ns to hours.\nAnswer: 0.00000001148429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4940 >= -5346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-285)\/38)\/((-3)\/814) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 13) to base 7\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837304 is divided by 1629.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 150\/42 + 9\/21. Suppose 2*b = 2*l + 8, 5 - 18 = -3*b + k*l. Find the second derivative of 8*d - 22*d**b + 12*d + 0*d**3 wrt d.\nAnswer: -132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/37849902 and -125\/6.\nAnswer: 37849902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 681, 972, 1239, 1476?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17381 and 49.\nAnswer: 121667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-24\/5)\/(j\/(j\/j**(-1\/3))*j**(2\/3)\/j) assuming j is positive.\nAnswer: j**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -57*r**3 - 21*r**2. Let d(g) = 1. Let q be ((-306)\/(-63) + -5)\/((-1)\/7). Let k(m) = q*l(m) + 3*d(m). What is the third derivative of k(j) wrt j?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 10*b = i - 68, -44 = -4*b + 5*i. What is the remainder when 93 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-10\/13)*m**(-9) assuming m is positive.\nAnswer: m**(-94\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0*a**5 + 0 - 1\/12*a**4 + 0*a**3 + 2*a**2 + 1\/40*a**6 + 0*a. Find the second derivative of t(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r + 44 = 524. Let x = 5 + -3. Suppose -r*m = -x*m. Solve 4*s - 3*o + 9 + 8 = m, -o = -3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 27 = -3*z, 10 + 0 = -2*o. Suppose 0 = s - 59 - z. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11019 - -4?\nAnswer: -11015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3244 (base 6) to base 12\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 9. Suppose q*p + 16 = -20. Let z = 32 + p. Calculate the least common multiple of z and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43, -60, -85, -124, -183, -268, -385, -540?\n\"Answer: -a**3 + 2*a**2 - 16*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4523*c**2 - 8*c - 3 - 4535*c**2 + 7.\nAnswer: -4*(c + 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 + (-63)\/(-24))*3050\/(-183))\/((-31)\/(-124)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let v(h) = h. Let s(g) = -g + 5*g - 5*g. Suppose u - 1 = 3. Let d(o) = u*s(o) + 3*v(o). Calculate d(j(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 3*a - 3. Let w(q) = 2*q + 2. Let r(b) = -2*n(b) - 3*w(b). Let s(t) = -1 + 1 - 8*t**2. Give r(s(o)).\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16895.\nAnswer: 5, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - -2) + 5 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 58*q - 1. Let z(t) = 2*t**3 - t + 1. Calculate -x(v) - z(v).\nAnswer: v**3 + 59*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -12 in ascending order.\nAnswer: -12, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 90*w - 60*w**3 - 62*w**3 + 118*w**3 - 1.\nAnswer: -4*w**3 - 90*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61033 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 10. Suppose 15 = -6*v + 3. Let r be 3 + v + (-13 - 1). Let h be n(r). Solve 0*x = -h*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128.555 + -129. Round b to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-4))\/(2\/(-10)*1))\/((-24115)\/1581944)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -5 - -23) + -10 + 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let h be -2 - -2 - -2*4. Let g be l(h). Let d be 20\/6 + (-88)\/66. Solve -3*i - g = d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62762, -62821, -62880?\nAnswer: -62939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*p + 26044 = -84*p - 27776. List the prime factors of p.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/14)\/((-6)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 + -137. Solve z*k = 2*r - 1 - 1, -k + 18 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 143*o + 127*o + 145*o - 1 - 534*o + 135*o. Let z(v) = -1. Calculate -k(s) + 2*z(s).\nAnswer: -16*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118.52 + -20.62. Let j = h + -93. Let m = 0.9 - j. What is the closest to -0.1 in m, 4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 91 = -3*i. Suppose -3*t + 1083 = -3*q, -i*t - 4*q = -14*t + 352. What are the prime factors of t?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75\/4 of a gram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2 + 3369*s - 709806 = 0. What is s?\nAnswer: 281, 842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -42. Let u = 2972\/5 - 594. Which is the third biggest value? (a) o (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-13 - (-14 - -61))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f - 1. Let h(x) = -8*x**2 - 4*x + 8. Let y(v) = -h(v) - 6*u(v). What is the remainder when y(5) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1411, -3316, -6491, -10936, -16651, -23636, -31891?\nAnswer: -41416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:33 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + 69 - -204 - 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1463742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 20*n**2. Let t(r) be the second derivative of r**3\/2 + 61*r. Give y(t(q)).\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 9*g**2 + 23*g + 14. Let y be k(-11). Suppose 2*d - 135 = -y. Calculate the highest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 0*b**2 + 1 + 0*b**2)*(-b + b + 3*b)*(3*b - 6*b + 0*b).\nAnswer: 27*b**4 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/2)\/4)\/(48\/128)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2145 = 26*n - 81*n - 88*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392490?\nAnswer: 2, 5, 11, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 91*v**3 - 3 - 9*v**2 - 92*v**3 - 2. What is f(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2343*j + 6*j**5 + j**2 - 16*j**5 + 2406*j wrt j.\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 5*s**2 + s**2)*(-12*s + 3*s - 12*s)*(-3*s**2 + 5*s**2 - 3*s**2).\nAnswer: 21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 132 = 5*m. Let x be 12\/36 + (-215)\/(-3). Suppose -7*l = -3*l - x. What is the smallest common multiple of m and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9347 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*g + 2, 4*g - 6 - 6 = 0. What is the tens digit of 95\/v - (-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6905*v**3 - 36*v**4 + 6905*v**3)*(2*v - 5*v + v).\nAnswer: 72*v**5 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.689 - -1.389. Is g at least as big as -181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1. Let n(t) = -87*t + 6. Determine 6*j(i) + n(i).\nAnswer: -87*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.37 + 0.13. What is the biggest value in -11, -3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from uusslr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*d - 481777 + 488874 = 0 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32535, -31639, -30739, -29835?\nAnswer: -28927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:22 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1500 = -21*p + 26*p. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - 1.97. Let c = b + -7.28. Let p = -11 - c. Round p to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 14*g + 18. Suppose -5*h + 6*h - 13 = 0. Let u be f(h). Solve 4*j = u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 33*q**2. Let w(i) = -10*i - 1. Determine w(u(y)).\nAnswer: -330*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 + 72 + 80 - 293 + 367*p + 77 to z*p + q and give z.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let l = r + -1. Suppose 11 = 3*s - g, -4*g - 1 = -4*s + 3. Which is the second biggest value? (a) -5 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and 25505?\nAnswer: 25504.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -17 (c) -6\/17 (d) -3\/5 (e) -6.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {s: 1, l: 5, j: 6, b: 1, i: 2, h: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t = 0. Let m(p) = 2*p + p - 2*p**2 + t*p - 3. Let v be m(2). Let q(o) = -o**3 - 5*o**2 - o - 3. Determine q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 9280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 64657.38 and -2\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35711530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u + 34*u + 21*u)*(-1 + 1 - 1).\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 99792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 26*b**2 - 14*b + 332. Determine j(26).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -201. Let o = f - -146. Let b be ((-3)\/2 + 0)*22\/(-9). Which is bigger: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*a + 26*a - 17*a)*(-6*a**3 + 78*a**2 - 78*a**2) - 2*a + 2*a - a**4.\nAnswer: -205*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n**4 + 13*n**3 - 2*n**2 - 13*n + 37. Let x(c) = 7*c**4 - 6*c**3 + c**2 + 6*c - 19. Let l(t) = -6*i(t) - 13*x(t). Differentiate l(k) wrt k.\nAnswer: -4*k**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 201, -1, -2 in ascending order.\nAnswer: -32, -2, -1, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {d: 3, b: 3, f: 6, o: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17041085 times 5?\nAnswer: -0.85205425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(1 - -6)*(-2 - -3). Let r(s) = s**2 + 5*s - 12. Let d be r(o). Is (10\/6)\/(6\/20052*d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 14 - 4*a**2 - 4 + 9*a - 2*a. Let o be c(9). Round o to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 14*b + 4518. Is 34 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**4\/12 + w**3\/3 - w**2 - 94. Let t(u) = u**3 - 10*u**2 + 8*u + 7. Let s be t(9). Give z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(12\/(-14)*84\/(-48) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(1\/10). Let f(a) be the second derivative of -a**3\/2 + a**2 + 125*a. Let u(z) = 6*z - 13. Let x(p) = 3*f(p) + u(p). Calculate x(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*z - 29, 3*z - 2*z + 4*t + 13 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/4 + 329171*g**2\/2 - 1316681*g\/4 + 164585 = 0.\nAnswer: 1, 658340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-4))\/(-4))\/((-1)\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5*i)\/i)**8\/((i**(-3\/17)\/i)\/i**(-2\/9)) assuming i is positive.\nAnswer: i**(6266\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 736 and 74083?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1520.5 + -1521. Let u(i) = 4*i + 4. Let o(w) = w**3 + w**2 - w. Let z be o(-2). Let t be u(z). What is the nearest to 1\/6 in k, t, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 39816?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1005*g*v + 675*v wrt g?\nAnswer: -1005*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014165236 to 4 dps.\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dcdhvdpcvcv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803301, 807411, 814261, 823851, 836181?\nAnswer: 851251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - 73*v**2 - 12*v + 397. Determine i(24).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 151.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1989 and 1078701?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -109. What is the highest common factor of r and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2089075*a**2 + 3787114*a.\nAnswer: -4178150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.5 - 3.2. Let o = 3.5 + -3.8. Put a, o, 2\/9, -1\/2 in increasing order.\nAnswer: -1\/2, o, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49891852 by 1.\nAnswer: 49891852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -46*((-15)\/6*1)\/(-5). Let f = -27 - b. Put -24, 0, f in decreasing order.\nAnswer: 0, f, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*t**4 + 4*d*t**3 - 7965234*d*t**2 + d*t + 1125*t**4 + 82*t**3 + t**2 wrt t?\nAnswer: 24*d*t + 24*d + 27000*t + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/10080 and -17\/2880.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 0*q**2 - 1\/20*q**5 + 2*q + 0*q**3 + 0 + 1\/6*q**4. Solve o(t) = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17164 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 + 389. Is 179 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/4 + (8 - 3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(275) - (sqrt(275) + 0) - sqrt(275)) + 2))**2.\nAnswer: -20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*u = 191*u + 96*u - 655*u - 64076 for u.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49844487.\nAnswer: 3, 7, 11, 47, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 7. Let u(c) = -2*c + 0*c - 3 - 4*c + 4*c. Suppose -f - 2 = 3*g, 2*f + 5*g + 4 = -0*f. What is f*t(k) - 5*u(k)?\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 88 - 2*z - 132*z**3 + 315*z**3 + 27.\nAnswer: 183*z**3 + 2*z**2 - 2*z + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/4))**(-10\/17)*(f**(-1\/3)\/f*f*f)\/f**(-2))\/(f*f*f**(-1)*f\/f**(-5))**(-22) assuming f is positive.\nAnswer: f**(15905\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4\/8*8\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.3, -1, 0.02, -2.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**3\/3 + w + 1. Let t(s) = -6*s + 2*s + 3*s + 3 + 3 + 6*s**2. What is -t(l) + 5*z(l)?\nAnswer: -l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16322762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37416, 149529, 336332, 597825, 934008, 1344881, 1830444?\nAnswer: 2390697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/(-20) - 6\/18*-6. Let w = 23\/30 - n. Is -4 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5 + 5 + 2*f. Suppose m - 24 = 1. Let q(o) = m*o - 10*o - 14*o. What is q(w(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 19*t**2 - 10*t - 7. Let x be b(-1). Let c be -3*(1 - (-10)\/(-6)). Solve c = 5*i + x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*w**2 + 0 + 0*w.\nAnswer: 2*w**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4527 = -3*c + 6*c. What is the remainder when c is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*j + 52 = 3*t, -3*t = -3*j - 72. Calculate the remainder when 123 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721761 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3816 and 68169.\nAnswer: 86710968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168*c**3*j**2*s**2 + 794*c**3*s**3 - 2*c*j**2*s**2 - 21*j**2*s**3 - 2*s wrt s?\nAnswer: 4764*c**3 - 126*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4600584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (-17 + (11 - -6))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 + 7*i. Suppose 0 = -3*k + k. Let b be 3 + (2 + k - -1). List the prime factors of g(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - -18. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/1451 - 1448\/4353. Let j = 8.7 + -8. What is the closest to -1\/5 in 1\/3, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 12*f + 12*f - 3*f as j + b*f and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9967552 micrometers in centimeters?\nAnswer: 0.00009967552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a decade in years?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 12*l**2 - 24*l - 16. Let d be q(9). Solve d*r = -6 + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 5*u**2 + 4*u - 2. Let t be g(-4). Let d = t + 4. What are the prime factors of 1\/(1 - d) - -7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -10.078. Round d to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06155 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 3*m + 2873 = 0. Let j = 169 + m. Solve -k - 4 = 2*x, 2*k = 2*x - j + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*y - 15 - 16*y + 17 as g + j*y and give j.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 7*(3 + (-8)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Let x be ((-2)\/h)\/((-3)\/(-18)). Let p = -3 - -3.5. Which is the second biggest value? (a) p (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46300*f**4 + 27358*f wrt f.\nAnswer: 555600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -187? (a) 6 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 k when three letters picked without replacement from kfekekkbk.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -39. Suppose 4*x - 3*g - 23 = -c*x, 31 = 3*x - 5*g. Suppose x*m - 40 = 68. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 1 + sqrt(72) + 2 + sqrt(72) + (sqrt(72) - (sqrt(72) + 1 + sqrt(72) + -2 + sqrt(72))))**2 + 5*(-2*sqrt(192) - sqrt(192))\/sqrt(6).\nAnswer: -12*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 2, 0, 1, -0.2, 0.4, -1\/2250?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*t + 3*t + 29, -5*r = 5*t - 115. Solve -t = -3*l - 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1110*b + 2215*b - 1075*b = -540 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**2 - 3761065*v - 7522110 = 0.\nAnswer: -752211, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3362 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -85, -2, -4 in descending order.\nAnswer: 4, 2, -2, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = -3*z. Let l = -2 + z. Suppose -l = -4*n + 12. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-8)\/(-3 - -1). Solve -y = -3*j + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53320331269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*x. Suppose -16 = -j - x*j. Solve u + 5*s = -1 - 5, -4*u + j*s = -24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 22187?\nAnswer: 22182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 28286350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66)*3)\/(sqrt(6) - (sqrt(6) + (sqrt(24) - 2*sqrt(24))\/sqrt(4))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 338 and 3.\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 54\/9)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2111102?\nAnswer: -2111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13839 - 13827. Let i(a) be the third derivative of -47*a**4\/24 + a**3\/3 + a**2. Let f be i(-2). What is the greatest common divisor of f and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*9\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31905.634048 and 0.03723?\nAnswer: 31905.671278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 24380 = -23*b + 189372. What are the prime factors of b?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -2 - (0 + -7 + -4 + 9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -124. Let r = b + 141. Suppose 10*v = r + 77. Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -145, -166, -203, -262, -349, -470?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 105 in 2\/5, -1\/10, 3, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.4 + 18.3. Let o = y - 18.06. Round o to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/2815 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2311 (base 6) to base 16.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - o**2 + 4*o - 4. Let z be x(-3). Suppose 3*b - z*b - 4*d = 14, 0 = 2*d + 8. Does 25 divide (-6)\/15 - ((-508)\/(-10))\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1722513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 10) to base 9\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 254*y - 260*y - 6. Put 0, 1, y, 0.24 in increasing order.\nAnswer: y, 0, 0.24, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:51 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*f + 65 = 0, -5*f + 36 + 4 = 3*w. What is the remainder when -1 + 5\/(w\/309) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1129*k + 520*k - 2758*k.\nAnswer: -3367*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n - 9. Let p(a) = 7*a + 8. Let x(y) = -6*d(y) - 7*p(y). What is the smallest common multiple of x(-9) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3.8, -0.01, -2.3 in descending order.\nAnswer: 3.8, -0.01, -2.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 249 and 0.38.\nAnswer: 94.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rotnhho. What is prob of sequence ornh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 2 - (7 + (0 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -291297 from -4058580.\nAnswer: -3767283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 29*y + 177. Let c be m(20). What is the nearest to -0.1 in c, 64, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -48.4797287 - 2.2023\nAnswer: -50.6820287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 0.026.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190208531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 27*d**4 + 7*d - 2. Suppose -1 = -5*m + 9. Let y(n) = 53*n**4 + 14*n - 5. Let g(q) = m*y(q) - 5*z(q). Find the second derivative of g(w) wrt w.\nAnswer: -348*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.07329 to one decimal place.\nAnswer: -74.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 8:38 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 386650763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 - 6*o**2 + 8*o. Let l(y) = 7*y**3 + 13*y**2 - 17*y. Let i(s) = -3*s - 7*s + 11*s. Let t be i(6). What is t*l(r) + 13*u(r)?\nAnswer: 3*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 71980\/28 - (-25)\/(175\/2). What is the highest common factor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kphaka. Give prob of sequence ap.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose -4 = -18*o + 22*o. Let r = o + f. What is the lowest common multiple of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 113*p**2 + 1582*p - 475. Give a(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let k(u) be the second derivative of u**4\/24 - 179*u**3\/6 + 163*u. Let m(f) be the second derivative of k(f). Give -2*m(t) - 3*v(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/6 - 357*n**4\/2 - 27421*n**3\/3 - 454346*n**2\/3 - 799436*n - 1970848\/3 = 0.\nAnswer: -1018, -22, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/18 - (-28)\/3. What is the third derivative of -6*h**6 + 3*h**2 + 5*h**6 - x*h**6 wrt h?\nAnswer: -1320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*d**3 + 24*c*d*j - 2*c*j - 14*c - 2*d**3*j + 2*j wrt d.\nAnswer: -3*c*d**2 + 24*c*j - 6*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 21*t - 8. Let c be d(-11). Solve -n + c*n + 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101252 is divided by 2021.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85377505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 1 - 12*k**4 + 9*k**4 - 3 to the form t*k**2 + c*k**4 + s*k**3 + f*k + j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -8*q - 252. Let i be (-1)\/((-2)\/q) + 2 + -1. Let m = 3 + i. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, 1 g, and 1 e when four letters picked without replacement from geedqcedeeeeec.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -21. Suppose 5*d + 5 = -l, d = 2*m + 119. Let g be 1\/5 + 252\/m. Which is the nearest to -4? (a) 2\/11 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5990.7 times -0.1\nAnswer: 599.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/54)\/(-1))\/((-160986)\/30664)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9143204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84751, -84748, -84743, -84736, -84727?\nAnswer: -84716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166 + 150.4. Let h = 16.8 + k. Which is smaller: -2\/25 or h?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/8 - 4125*q**2\/4 - 3699947*q\/8 + 1854099\/4 = 0?\nAnswer: -7774, -477, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(288) + sqrt(8) + (sqrt(8) - (sqrt(128))**2*-5) - (-5 + sqrt(200)*-1).\nAnswer: -10*sqrt(2) + 645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5693 (b) 0.1 (c) -6\/17 (d) -1\/6 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.269095, -2, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.8 plus 68?\nAnswer: -226.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 493721 + 93?\nAnswer: 493814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*k - 106 = 0, 85 + 100 = 2*x - 3*k. Calculate the remainder when 208 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1016 - 1013. Let s(d) = d**2 - d - 1. Let r(x) = 2*x**2 - 3*x - 5. Calculate z*s(c) - r(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/24 + p**2. Let j(g) = -6*g**2 - 5. Let c(h) = 8*h - 5*h**2 - 4 - 8*h. Let x(n) = -5*c(n) + 4*j(n). Calculate q(x(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21038.35 and -1?\nAnswer: -21038.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.4 (b) -0.16 (c) 2\/17 (d) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a hour in seconds?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b**2 + 8*b - 29. Calculate the remainder when h(3) is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 105*g + 2055. Calculate q(79).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 divided by -77?\nAnswer: -1025\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/11)*g**(1\/3)*g**(4\/7)*(g*(g**0*g)\/g*g)\/g)**(-28))**(-15) assuming g is positive.\nAnswer: g**(7120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**2 - l. Let d = 2 + -4. Determine t(d).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38512 (base 10) to base 16.\nAnswer: 9670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 13*f + 15. List the prime factors of n(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, -1, -31, -61, -91, -121?\n\"Answer: -30*u + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1246.7937 to the nearest 10.\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*f = 3*m - 32, -2*f - 34 = -4*m. Let c(a) be the third derivative of 11*a**4\/12 - 11*a**3\/6 - 4*a**2. Is c(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 48654 = -52*o. Let p = 9265 + o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, -5\/7, 1.903?\nAnswer: 1.903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/833 - -3329\/2499. Which is the second biggest value? (a) -4 (b) -0.05 (c) z (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 23*q**2 + 36*q**2 - 57*q**2. Let t(b) = -11*b**2. Calculate v(t(l)).\nAnswer: 242*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-seven halves of a century?\nAnswer: 46200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quqqqqqquqqquqq. Give prob of sequence quq.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y - 2. Let q be l(-3). Let v = 16 + q. Let m(x) = -4*x - 3. Let d(j) be the first derivative of -7*j**2\/2 - 5*j + 5552. Give v*m(u) + 6*d(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 55*u + 12. Let c be s(4). Let j = 456 - c. Suppose j = -9*b + 11*b. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + (-3 - -2)) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 715 + -714.24. Which is the nearest to 1? (a) 3 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226480 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 18. Let g = 139 - -15. What is the greatest common factor of t and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 499025 = t - 1427904, -5*i + 2408659 = 2*t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 108*w**2 - 672*w + 784.\nAnswer: -4*(w - 1)*(w + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -137548, -137547, -137546, -137545, -137544, -137543?\n\"Answer: l - 137549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b - 1. Let i be w(1). Let g = -6 - i. Let r(h) = -h**2 + h - 4. Give r(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289c9 (base 13) in base 15?\nAnswer: -17974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.154 and 53134306?\nAnswer: 53134305.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059462 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 + 7*y**3 - 1 - y + 495*y**4 - 2 - 4*y**2 - 496*y**4 as z*y**2 + f*y**4 + v*y + m + n*y**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a factor of 4718709578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5895 + -29607. What is r rounded to the nearest one hundred?\nAnswer: -23700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157578467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*k + 23 + 4 + 10.\nAnswer: 154*k + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 330112*k - 13621741568 = 0. Calculate k.\nAnswer: 82528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12489783 by -57.\nAnswer: 219119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-20)*c*c*c**(-22))**(3\/7))**(2\/17) assuming c is positive.\nAnswer: c**(6\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51685, 52286, 52885, 53482?\n\"Answer: -p**2 + 604*p + 51082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2324375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099334 is divided by 1098796?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-15)\/(-2))*160\/160.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(225)*-4) - (0 + sqrt(1764)\/sqrt(7)).\nAnswer: -121*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p - 17*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 40*v + 176, -3*j + 514 = -5*v + 408 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q + 8 = -u, -3*q = 2*u + 11. Suppose u*n = 6 - 20. Let h = -19 - -12. Is h smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 21. Let d be a(0). Let z be (1\/3)\/(d\/(-1701)). What is the greatest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/1848)\/(1345\/(-2152)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 4*k + 6 - 5 - k - 2. Let h(o) = 5*o + 2. Determine 2*h(q) + 5*n(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*d + 2*x, x - 3*x + 2 = 0. What is the remainder when 124 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 3*k**2 - 6*k - 3. What is w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 2, p: 1, l: 1, a: 2, m: 1}. What is prob of picking 1 a and 2 i?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*a + b + 37, -2 = -a - 2*b. Let o be (-4)\/(-10)*978\/a. Let z = o + -2652\/55. Find the common denominator of z and 57\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/9 - 3\/((-36)\/1748). Let g = y + -130. Suppose g = 9*d - 11. Solve -q + d = -0*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*c = 69 + 45 + 35. Is c less than -5\/1079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2 + 2. Suppose 0*v - 2*v - 11 = r, 4*v + z = 2*r. Let l be 2 + (-1 - 3\/v). Solve -3*s - 2*m + 0*m = l, -8 = -3*s - 4*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6294*-0.5.\nAnswer: -3147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 41. Let x(w) = 6 - 3 - 3 - 3*w + w**2 - 1. Calculate x(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 + 856 = -3*z. Sort 5, z, 4 in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 10 + 12 + 13 - 2301*f to the form k*f + d and give k.\nAnswer: -2301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4803*y - 1858*y + 192496 - 65457 + 76166 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3122729 is divided by 390324.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3558 - 3508. What is the remainder when n is divided by 36*(-1)\/4*-2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v + 3. Let s = 4 + v. Solve 0 = 3*n - 2*n - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.183 - 0.15. Let g = q - 0.03173. Round g to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80760\/4038*4\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/12)\/(14\/(-56)). What is the closest to -1\/4 in 3, p, 10, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (-33 - (15 - 26))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 8*n + 7. Suppose 0 = -16*c + 39 + 9. What is the lowest common multiple of d(c) and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -259*c + 114*c + 27*c**2 + 144*c to t + x*c**2 + g*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 116760735 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188*l**2*z**3 - 4*l**2*z**2 + 33*l**2*z + 131*l*z**3 - 2*l - 2*z**3 + 106*z**2 wrt l.\nAnswer: 376*z**3 - 8*z**2 + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -52) + (-4 - -2 - 16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54439579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*q - 6*d**3*x + 2*d**3 - 2*d*q*x + d*x + 2369*d + 124018*q*x + 2*x with respect to q.\nAnswer: d**3 - 2*d*x + 124018*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 34679 - 69362 - 183*p + 34689 in the form d + a*p and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:14 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.06 - 0.06. Let o = 453.2 - 453. What is the second smallest value in o, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -6*r + 2*r - 8, -2*r = i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 5*f - 7. Let s(m) = 2*m + 17. Let x be s(-16). Let z be w(x). Suppose 659 = 6*u + z. Calculate the remainder when u is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 223, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.79 - 1.125. Let d = 0.564 + v. Round d to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122 (base 3) to base 10.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = 0. Suppose -243*c = -248*c + 20. Let k = 61 - 57. Solve x*z = c*z + k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*b + 85, 2*b + s - 15 = 4*s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:18 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112*b**2 - 284*b**2 - 273*b**2 - 292*b**2 + 1 - 290*b**2 - 1.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/14)\/(-4*2\/(-192)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 303 + -305 - (2\/(-9) - (-170)\/(-45)). Let j(x) = 3*x**2 + 14*x - 28. Calculate j(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y + 8*y + 10*y + 144*y**2.\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 321288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x - 5. Let k(f) = f - 1. Let d(q) = b(q) - 5*k(q). Let l(h) = 781*h. Let p(i) = 13*i. Let c(a) = -2*l(a) + 121*p(a). Calculate d(c(r)).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 928875902429 - -0.3?\nAnswer: 928875902429.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m - 32*m**2 + 5388 - 41*m - 5390 wrt m.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {f: 1, r: 3, n: 2, v: 4, o: 1, y: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5 - 6*t**4 - 36*t**3 - 42*t**2 - 15*t = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:01 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 4*d + 90. Determine j(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 483 and -5029 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*v - 5 - 6 + 9*v)*(v**3 + 5*v**3 - 5*v**3) to f*v**3 + a*v + o*v**4 + y*v**2 + s and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18516 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*o**2*z**2 - 2*d**2*o**2 + d**2*o*z - 24379224*d*o**2*z**2 - 10*d*o**2 + 2*d*o*z + 62*d*z - 6*z wrt z.\nAnswer: 4*d**2*o**2 - 48758448*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*s - 48, -o - 52 + 64 = -s. What is the remainder when 38 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t + 4*t - 7 + t**2 - 6*t**3 + 5*t + 5*t**4 + 4. Let y(v) = v**4 - v**2 + v - 1. Let m(d) = 2*r(d) - 6*y(d). Suppose m(s) = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7360628323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 28. What is b(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-2)\/30)\/(1\/4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -75*u + 74*u. Solve -4*y - 28 = -u*l, 0*l + 3*l - y = 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -n + 3. Let i be n\/(-2 + 494\/248). What is i rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16804.2789 - -16805. Round x to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s = -93*s + 938 - 2708 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 312. Suppose -r + c = r. Let q = -30 + r. Calculate the least common multiple of q and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.27, 2078, 7?\nAnswer: 2078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5133601 to the nearest integer?\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p**2. Let j(t) = 54*t**2. Let v(b) = 4*j(b) - 15*r(b). Let z(q) = q - 38. Determine v(z(i)).\nAnswer: 6*i**2 - 456*i + 8664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 125124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y - 1 + 30*y - 3 - 134*y + 59*y + 25*y.\nAnswer: 7*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-525))\/((-69)\/(-322)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/9 - -22\/45. Let g = -13\/3 - -23\/6. Which is the second smallest value? (a) -2\/9 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 294*k*m*t**2 - 10*k*m - 5*k - m*t wrt t.\nAnswer: 588*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72156*q + 784*q**3 - 72156*q - q**2.\nAnswer: 784*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - 1 + 1)*(-29 + 3*q**2 + 29) - 75*q**4 - 77*q**4 + 190*q**3 + 150*q**4 to v + j*q**3 + t*q**2 + i*q + a*q**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.6. Which is the closest to n? (a) 1\/4 (b) -3\/8 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -7. Suppose -21 = g + 6*g. Suppose 4*z + 2 = q, 8 = 2*z - 3*q - 2*q. Sort p, z, g in increasing order.\nAnswer: p, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 10*t**2 - 4802*t + 48031. Determine b(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355239603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4758057 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m = -50*m - 3900. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*g - 1066 = -385*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -417, -1250, -2861, -5508, -9449, -14942, -22245?\nAnswer: -31616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-30))\/(5\/(700\/1176)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 59600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 3*p**2 + 2*p - 10. Give q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 143342688 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001571920117 rounded to seven dps?\nAnswer: 0.0015719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 + 12.3644.\nAnswer: -73.6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -22, -34, -48, -64, -82, -102?\n\"Answer: -n**2 - 7*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326635, -326623, -326597, -326551, -326479, -326375, -326233?\nAnswer: -326047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 7*f**3 + 4*f**3 - 11*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7702 and -0.43.\nAnswer: -7702.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((6\/(-14))\/1). Let z(l) = -199*l - 53. What are the prime factors of z(v)?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369 - -381. Sort c, -3, -0.09.\nAnswer: -3, -0.09, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 4) + 3 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 205\/3 - 11\/33. Suppose -f = -3*t + 19. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163 and 902531.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((45\/(-10))\/(-9) + 0). Let y = -0.24 - 0.06. Which is the closest to y? (a) -3\/4 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 26*a**2 - 2049*a + 25909. Determine h(63).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1, 15, -0.6?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**4 + 38941*t**3 + 196941*t**2 wrt t?\nAnswer: -72*t + 233646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59\/4 + 15. Let j be 4\/(-3)*3 + 16\/2. Suppose -3*g + j*g + 3*m = 0, 0 = -5*g + m - 16. What is the biggest value in g, 3, c, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/4932 and -25\/1170117?\nAnswer: 4680468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1162 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-7)\/u*u)\/u*u*u\/(u\/(u*u*u**(1\/10)))*u**5\/u*u**(-4) assuming u is positive.\nAnswer: u**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 34. Suppose 3*v - 17 - m = 0. Which is smaller: v or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 10*q - 8. Is i(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2399, -3070, -4045, -5318, -6883, -8734?\nAnswer: -10865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 14*a**2 + 14*a + 17. Let z be f(15). Suppose -z*o + 17 = -151. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2)*f*f**10\/f*f*f*f)\/(f\/f**2)**(-10\/13) assuming f is positive.\nAnswer: f**(198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/151136 and -73\/256.\nAnswer: 1209088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 34*i + 194. Let r be o(-7). Suppose -41 = 3*b - 4*m, -b + m + 2*m - 22 = 0. Put b, r, -5 in increasing order.\nAnswer: b, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 106. Suppose -1 = b - 3. Find the second derivative of 6*n**2 - 6*n + m*n**b + 3*n**2 - 3*n wrt n.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 714 and 491113?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Let w be m(1). Let c = 5 - w. Suppose c*r - 5 = 7. Solve -r*f - 5 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 145.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*((sqrt(605) - (2 + sqrt(605))) + -1) + ((sqrt(605) + 2 + -1)*1)**2).\nAnswer: 110*sqrt(5) + 3000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 c when four letters picked without replacement from pfdpdndnfnfffcp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 9*t**2 + 8*t + 3. Let j be 1*(-1)\/(-2)*(0 - 14). Let u be l(j). Calculate the highest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxp when three letters picked without replacement from {o: 3, x: 5, p: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.11 + -3.11. Let i = -71 - -70.9. What is the nearest to 0 in -2\/7, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 0 - 5*k**2 - 1 + 11*k**2 - 4*k**2 + k. Let f(g) = -g**3 - g**2 + g + 11. Determine f(r) - u(r).\nAnswer: -r**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7418*k**3*z**4 - k**3*z**2 + 5*k**3*z + 2*k**2*z**2 + k*z**5 - 60*z**2 wrt z.\nAnswer: 178032*k**3*z + 60*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, -11\/7, -11\/16602 in descending order.\nAnswer: -11\/16602, -1\/4, -1, -11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y**2 - 2*y + 13. Let x(o) = -o - 1. Let h(k) = -j(k) + 2*x(k). What is the first derivative of h(a) wrt a?\nAnswer: 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143311414 - -10024?\nAnswer: 143321443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*u - 10*u**2 - 75*u + 6*u**2 as p*u**2 + c*u + a and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6985 + 127.2615. Let w = 128 - h. Which is the second smallest value? (a) w (b) -0.1 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -404141 (base 6) to base 13\nAnswer: -1176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -820200*f**5 - 44180*f**2 - 1?\nAnswer: -49212000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 83475042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*11*1)\/(103\/103).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3165248*j**6 - 51*j**5 + 2*j**2 - 362849876*j + 1 wrt j.\nAnswer: 379829760*j**3 - 3060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:35 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-2))\/(-4*1\/(-8)). Solve 4*r + 4 = 4*f, -b*f + 1 + 4 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let c(n) = 3*n + 1. Give -3*c(f) - 8*u(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*p = 15, 9*o - 4*o - p - 1 = 0. Let q = o + -1. Solve 2*a - 3*m - m + 8 = q, 2*m - 4 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 180*c**3 - 1605*c**2 - 1430*c.\nAnswer: -5*c*(c + 1)*(c + 13)*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 0*c + 0*c + c**2 + 1 - 1 - c + c - c**2 + (2*c**2 + 4 - 4)*(3 - 1 + 0) - c**2 - 3 + 3.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1)*-2 + 8. Let d = -7 + z. Solve 3*u - d = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -47*p + 396. Give j(10).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcccddttm. What is prob of picking 1 t and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 73. Let m = b + 87. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -1aaecea?\nAnswer: -1aaecee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59705988*t**2 + 26976445*t?\nAnswer: -119411976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/3 + 2618\/187. Factor 1\/3*b**m - 1\/3*b**2 + 1\/3 - 1\/3*b.\nAnswer: (b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 2) + (-23 - -3 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 373151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15398, 61641, 138714, 246617, 385350, 554913?\nAnswer: 755306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*b = 10, 2*g + 2*g = 5*b - 8. Let n be (1 - 1) + g - -2. Solve n = -3*h - o + 12, -2*o + 14 = 3*h - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -1)*8\/(-12)*(-11 - -9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 3*m + u, 4*m - 21943 = 4*u - 22171 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + sqrt(190)*-2)*-1)\/(sqrt(110)\/(sqrt(11)*1)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + (sqrt(1100) + (sqrt(1100) - (sqrt(1100) + 0)) - sqrt(1100)) + -1)*2)**2 - (sqrt(11)*4*-3 - (sqrt(88)\/sqrt(8) + 4)).\nAnswer: -67*sqrt(11) + 4408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/(i*i**(-1\/5)*i)*i*i**(-2\/3)*i*i\/(i**(2\/5)*i)*((((i\/(i\/i**(-1\/2)))\/i)\/i)\/i)**(-4\/25)\/((i*i**(-6))\/i**(2\/19)) assuming i is positive.\nAnswer: i**(15388\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6936873 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.0248909 + 172.9762971. Let n = -0.3091 - -180.3091. Let z = n - u. Round z to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 10. Let k = -13 + 8. Let i = 16 - 15. Sort l, k, i in ascending order.\nAnswer: k, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -8, -33\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000016736 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121\/4 - 30. Which is the nearest to -11? (a) 4 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)\/(z\/z**8*z))\/(z**8\/(z*z*z*z**(1\/8)*z*z)))**(-1\/7) assuming z is positive.\nAnswer: z**(31\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14 = -3*b, 0 + 16 = -5*s - 3*b. Let q be 3*(-18)\/(-15)*s\/(-6). Is q bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*y + 40, 5*q - 391*y - 5 = -386*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1353*i**3 - 2*i**2 + 7*i - 5. What is the tens digit of z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 30 = -2. Suppose 0 - z = -4*q. What is the least common multiple of 1 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 6, q: 6}. Give prob of picking 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -1\/2, -2, 0.06, -2\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 divided by 3?\nAnswer: -292\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -4*v**4 + 2*v**3\/3 - v**2 + v + 2. Let i be m(1). Let a = 17 - i. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56969 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: Is 167 a factor of 27562895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -0.01518.\nAnswer: -0.51518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406584120 rounded to the nearest one million?\nAnswer: 3407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r*w**2 + 121*r + 150*w**2 wrt r.\nAnswer: -w**2 + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 411 = 2*f - 69, -3*o + f + 258 = 0. Let b = 91 - o. What is the second derivative of 1599*p + 0*p**4 + 11*p**b - 1556*p wrt p?\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -444, 5, 1, 0, -1 in ascending order.\nAnswer: -444, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*u = -50*u + 62*u - 793668. What are the prime factors of u?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246\/1081 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-4*4)\/(sqrt(63)\/(sqrt(252)*-3)).\nAnswer: 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(153))**2 - ((sqrt(153) - sqrt(153)*-1*-2)**2 - sqrt(153)).\nAnswer: -27*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/5*1)\/(1\/1). What is the second smallest value in t, -2, 3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 3:19 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13 + 2661 - 42*a + 27*a + 3454*a wrt a?\nAnswer: 3439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -439.68 or 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 803476 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*h + 66*h + 63*h - 2*h**2.\nAnswer: -2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 3, -22, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 23. Suppose -7*o = -s*o + 478. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 20*t**2 - 654*t - 6031. Determine u(-34).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 521159.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1573))*6.\nAnswer: 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26336795732+-4\nAnswer: -26336795736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 47 - 17 + 9 - m**3 - 14.\nAnswer: -m**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21798 take away -4?\nAnswer: 21802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -34. Solve -w*l - 11 = -8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -739 + 740.964. Let j = 2 - g. What is j rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -32. Let r be (-25)\/20 + l - (-42)\/8. What is the third derivative of r*a**6 + 7*a**6 - 13*a**2 + 3*a**2 wrt a?\nAnswer: 1560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*d - 24 = 2, -30 = -5*c - 4*d. Let o(n) = 0*n - 5*n - 1 + c*n. Suppose 13*r = -0*r - 26. Determine o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56149, -56066, -55983, -55900?\nAnswer: -55817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Suppose h - 12 = -2*h. Suppose a - 4*q - 15 = 0, -4*q = h*a - 9*a + 27. Solve a*c + 0*c + 1 = 2*f, 3*f + k = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 15) to base 12.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-5)\/(-4) - (-182)\/(-728))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*5\/10)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -a - 149. Let b = 203 + a. What is the nearest to b in -0.5, 0, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2032*v - 1244*v = 32308 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1584) + (sqrt(1584) - 1*sqrt(1584)))**2.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 6:32 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 49, 2, -357, 5, 3.\nAnswer: -357, -1, 2, 3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -301022?\nAnswer: 301015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*t - 10, 5*v - 1687 + 1669 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4962.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-2))\/(-5)*-2. Let s = -0.13 + 2.13. What is the second smallest value in 5\/6, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -187?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 - -122.632. Let j = -0.218 + x. Round j to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (6 + -11 + (2 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*c + 20, -5*c - 72 = -65086*o + 65083*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**2 - 54. Let t(g) = 425*g**2. Calculate w(t(f)).\nAnswer: -850*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10956933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**5 + 3110*r**4 - 486665*r**3 + 939320*r**2 + 3351100*r + 1922000 = 0.\nAnswer: -1, 4, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120272, 481095, 1082466, 1924385, 3006852?\nAnswer: 4329867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 9. Suppose -52 = -i - o*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299 divided by -13\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 0.02, 186 in descending order.\nAnswer: 186, 42, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14147 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1255, 14 in descending order.\nAnswer: 14, -1, -1255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(((-16)\/(-50))\/(94\/3290) - 9)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.303 - 0.103. Let v = 8.96 + -9. Let z = v - -4.04. What is the third smallest value in z, -1, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -1\/360*z**6 + 0*z + 2*z**2 + 0*z**3 + 1\/24*z**4 + 0 + 1\/120*z**5. Let t(w) be the second derivative of x(w). Determine t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 + 5*q - 28. Let z be b(7). Let n(p) = -2*p. Determine n(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - a**3 - 4*a**3)*(53*a - 108 + 108).\nAnswer: -53*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3862 greater than -3859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399717.8 rounded to the nearest ten thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39088916?\nAnswer: 2, 17, 59, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = -27. Let i(x) = -10*x**2 - 9*x**3 - 6*x - 7*x**3 - 10*x. Let g(k) = -3*k**3 - 2*k**2 - 3*k. Let t = -7 + 9. Calculate t*i(p) + v*g(p).\nAnswer: p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w**3 + 2135*w**2 + 54*w**3 - 2135*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117, -890, -3025, -7218, -14165, -24562, -39105?\n\"Answer: -116*g**3 + 15*g**2 - 6*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5) - 42\/10. Let q = f + 7. Let p be ((-1460000)\/(-3))\/(q\/(-45)). Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 2136*a**2 + 6516*a + 38664.\nAnswer: -4*(a - 6)*(a + 3)*(a + 537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2045*l - 256. What is the tens digit of w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 0*n. Suppose -2*h = -5*x - 10, 3*h - 3*x - 34 = -5*x. Suppose -7*m + 2*m + h = 0. Solve -n*p - 4*q + 2*q = -13, 4*q - 2 = -m*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 9*z**2 - 7*z - 5. Let j be a(-5). Suppose -4*t + 3 = -1, 43 = -j*k - 2*t. List the prime factors of (-133)\/(-3*(-3)\/k).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.3. Suppose 3*f + 2*r = -2, 0 = -2*r - 0*r + 4. Let a = f - -1. What is the closest to -2 in a, 4, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/2 - 1011*a**4\/2 + 258025*a**3\/2 - 1250961*a**2\/2 - 1771063*a = 0.\nAnswer: -2, 0, 7, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*i = 5*r - 6152, -4*i = 2*r - 12290. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11111101100 (base 2) in base 14?\nAnswer: a4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 - 2*a**2 - a**2)*(74*a - 7*a**2 - 74*a)*(3 + 1 - 2) + 91*a**4 + 52491 - 52491 to l*a**4 + y*a + q*a**2 + u + h*a**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4. Let s(h) = 5. Let v(k) = 6*d(k) - 5*s(k). Let a(u) = -u - 2. Let g(n) = 3*n**2 - 62*n - 22. Let z be g(21). Give z*a(y) + 3*v(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/231 and 86092\/(-6160) - (-26 + 12).\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, 2\/13, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*m = y + 2, -2*m - 1 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = -5*i - 480. Let s be (-12)\/i + (2 - 55\/(-25)). Let k = 6.7 - 7. Sort s, 0.4, k.\nAnswer: k, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-177 - (27 + -147)) + -1 + 2 + 12.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*p - 7580 + 26164 = 0 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*u**2 - 16*u**2 + 100*u**2 + (-1 + 1 + u)*(0*u + 3*u + 0*u) + 2*u - 2*u - 3*u**2 to i*u**2 + n*u + h and give i.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m - 18. Let d(s) = -2. Determine -10*d(t) + x(t).\nAnswer: 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6 + y**3 - 302*y**2 + 300*y**2 - 3*y**3. What is the remainder when 117 is divided by j(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 2*t + 4*z + 4 = 8. Is 6 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 4324936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*n**3\/4 - 819*n**2\/4 - 264*n - 87.\nAnswer: -3*(n + 29)*(3*n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 5*o - 13, 0 = -5*f + 5*o - 35. Let z(d) = -d + 5. Let j be z(f). Let i be (-45)\/20*(-9 + 1). Calculate the greatest common divisor of i and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bllb when four letters picked without replacement from {l: 3, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - 30371?\nAnswer: -30361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*2*(1 + sqrt(2))*5*3*6*4.\nAnswer: 25920 + 25920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 10 = -5*b, -17*w - 10*w + 26*w + 3*b = -81 + 21 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.556 and -8998498624?\nAnswer: 8998498627.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1 + 2*u**2 - 557*u - 2 + 560*u. Is 3 a factor of c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**2 - 2 + 29*i**2 - 5*i**3 + 2.\nAnswer: -5*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2429)\/91 - -19)\/(66\/429)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*s - 12 = 0, 0*s - 3*s + 16 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/24 - ((-380)\/32)\/5. Solve -5*u + 5*x + 25 = 0, 5*u + m*x - 9 = -x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (742\/530)\/((-2)\/20)*(-10)\/(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2563680.\nAnswer: 2563680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 89. Let w be z(18). Which is the biggest value? (a) 0.2 (b) w (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 9*u**2 + 21*u. Calculate q(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -763 - 3?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437232778.\nAnswer: 2, 41, 383, 45763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 - -179.7. Let l = m + -10. What is the nearest to -1 in l, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -35*q + 2. What are the prime factors of k(-10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - 67.26. Let f = j - -97. Let p = f + -30.26. What is p rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1527959 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213262 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/900 and -74\/31725.\nAnswer: 126900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, 236.\nAnswer: -3, 0, 5, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*w - 113*w**2 - 104*w**2 - 116*w**2 + 327*w**2 - 713*w.\nAnswer: -6*w**2 - 861*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -1, 0.21, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/63305 and 37\/440?\nAnswer: 506440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 97, -2\/27, 2\/7.\nAnswer: -2\/27, 0.1, 2\/7, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73\/444 + -3\/37. Let v be 1\/(2 - 2\/2). Do n and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 1. Let t(b) = -b**2 - 6*b + 6. Let k(w) = -t(w) + 5*y(w). Suppose -15*q - 33*q - 23*q = -17*q. Give k(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -28601 + 28601 - x. Let f = -10 + 11. Let v(d) = 7*d + 1. Give f*v(j) + 6*o(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*2 + sqrt(80) + sqrt(80))\/sqrt(4))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 172 + 413. Let f be 2\/(((-6)\/u)\/((-7)\/(-21))). Suppose 381 = -f*n + 10*n. What is n rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17226, 17231, 17234, 17235, 17234, 17231, 17226?\n\"Answer: -b**2 + 8*b + 17219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-409)\/((-8)\/((-53824)\/(-72))) - -6. Let s = 38271 - i. Find z such that 364\/9*z**3 - 188\/3*z**2 - 49\/9*z**4 - s*z - 64\/9 = 0.\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:59 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 887215.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34054559 and 22099?\nAnswer: 34054559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(8\/3)*w*w)\/(w\/(w\/w**(-6\/7)))*(w**2)**(-3) assuming w is positive.\nAnswer: w**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhghwhhyhgghhwgyhhy. Give prob of sequence yh.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:45 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 - 12*g**4 - 16*g**3.\nAnswer: 4*g**3*(g - 4)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-144)\/40)\/(2*6\/1160). Let f = 1117 + p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 55. Let w = -21 + o. Let n = 23 - w. Put -0.02, n, 1 in ascending order.\nAnswer: -0.02, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/12 (b) -0.4 (c) 1452.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -107dc (base 14) in base 2?\nAnswer: -1001110000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27*12.43\nAnswer: 335.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**5*r**2 - 3*c**4 - 141*c**3*r - 4*c**2*r**2 + c*r + 221*c - r**2 wrt c.\nAnswer: -240*c**2*r**2 - 72*c - 846*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1421*k - 1637*k + 6480 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41475*u**4 + 26*u**3 - 1151502*u**2?\nAnswer: 995400*u + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5698960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 + (3 - 0) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**4\/24 - t**3\/3 - 2*t**2. Let x(w) = -2*w - 4. Let n(d) = -9*o(d) + 4*x(d). What are the prime factors of n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794592207?\nAnswer: 3, 29429341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {b: 7, a: 5}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.94396 - -0.05604. Which is the biggest value? (a) 4 (b) -2\/15 (c) r (d) 2\/7 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65880, 131752, 197622, 263490, 329356, 395220, 461082?\n\"Answer: -r**2 + 65875*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15357.1 * 1.3.\nAnswer: 19964.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**3 + 6*o**2 + o - 7. Let n(q) = 11*q**3 - 17*q**2 - 3*q + 20. Determine -6*n(s) - 17*z(s).\nAnswer: 2*s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -27*t + 18. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -17*o**2 - 4*o - 4. Let d(c) = 33*c**2 + 9*c + 9. Let j(g) = -4*d(g) - 9*l(g). Let a(z) = 2*z - 4*z + z. Give a(j(v)).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*a - 2988*a = -503*a + 5031 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309*j + 1794*j + 21332 - 2253 + 2642 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.25 from -108821836.\nAnswer: -108821835.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*l + 77, -n = -3*l - 3*n + 46. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207725596 - 27155596. What is b rounded to the nearest 1000000?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 2. Let z(m) = -3*m + 56. Let k(s) = s - 23. Let u(f) = -5*k(f) - 2*z(f). Determine -6*g(d) + 5*u(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25440697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1022680 and 17\/1789690.\nAnswer: 7158760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 41 + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(18\/27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -5638931.\nAnswer: 5\/5638931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**4*m**2*r + 10479*g**3*m*r - 2*g**2*r + 93*g**2 + 3*m**2*r + 10*m**2 wrt g?\nAnswer: 168*g*m**2*r + 62874*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/51981?\nAnswer: 1\/51981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -783.43 rounded to 0 dps?\nAnswer: -783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 35.44628cm?\nAnswer: 354462800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*a**2 + 343*a**2 + 140*a**2 + 2*a.\nAnswer: 35*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2 (c) -129 (d) 1\/4 (e) -5 (f) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.48 times 3\nAnswer: -4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213331570*y**2 - 40128412?\nAnswer: 426663140*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1.103.\nAnswer: -0.2206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3 - -4)*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 30*b + 67. Let o(w) = -14*w - 33. Give -13*o(m) - 6*x(m).\nAnswer: 2*m + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 6*w - 297. Let d be q(11). Sort -1\/7, d, -30 in decreasing order.\nAnswer: d, -1\/7, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 0.3 (c) 0.007 (d) -18\/5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 5:47 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(2*n**2 - n**5 - 2*n**2) + 24*n**5 + 3*n**5 - 4*n**5.\nAnswer: 25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4350978 is divided by 607.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, m: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -17. Let k be ((-9)\/i)\/((-3)\/4). Which is bigger: -1\/2 or k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-6)\/(-32))\/((138\/20)\/(-23)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1367467 and -0.3.\nAnswer: 0.04102401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 80 = 0, b + b - 3*b - 40*c + 631 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -361 * -21.\nAnswer: 7581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j**4 - 2*j)*((-22 + 13 - 18)*(-3*j - j - 2*j) - 3*j + j + 0*j + (4 - 2*j - 4)*(-7 - 2 + 19)).\nAnswer: -140*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 67*g**2 + 2*g + 1. Let k be j(-1). Calculate the highest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1056000537?\nAnswer: 1056000542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3 - 3*p**3 + 0 + 2*p + 4*p**3 + 0*p. What is the units digit of n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Let f(i) = 2*i**2 + 12*i + 24. Let x be f(-6). What is the greatest common factor of y and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(-4 + 3*sqrt(1331)) + 5*-1*((sqrt(1331) - sqrt(1331)*3) + 4))**2.\nAnswer: -10912*sqrt(11) + 341697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*u, -w - 15 = -4*u - 0*w. Let v be (-150)\/54 + u\/((-81)\/6). What is the remainder when -51*(((-1)\/v)\/1)\/(-1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13476*h**3*s**2 - 108*h**3*s + 4*h**2*s - 108*h**2 - 2407*s**2 wrt h.\nAnswer: -80856*s**2 - 648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002401574463 to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18229301?\nAnswer: 61, 298841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let s(o) = -2*o - 4. Suppose -q + z + 3 = -4, z = -3. Let a(g) = q*t(g) - s(g). Let j(i) = i**2. Calculate j(a(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let m(n) = n**2 - 2 + 3*n**2 - 2 + n. Suppose -5*k + 14 = 9. Let g(v) = k*m(v) - z(v). What is the derivative of g(i) wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1 - 4*f + 8*f - 8*f. Determine c(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (0 - -47 - 37)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-445)\/(-110) - 4)*(-8 - -2)*2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -19*m - 18. Let y be v(-10). Is 13 a factor of y\/2*2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -6*r - 48. Let n be (0 + -2)*18\/4. Let l = r - n. Solve -2*h - 5*m = -11, l*h - 5*m = 4*h - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 25. Suppose 2*v = -0*v - 5*c - 21, -4*v - 4*c = 12. Let w be i\/(1 - (v*-6)\/(-4)). Solve -3*u - 5 - 4 = w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(28)\/sqrt(4).\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -21*b + 281. Calculate z(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 15*z - 307 = -10*z + 248 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**6\/360 + f**5\/120 + f**3\/3 + 3*f. Let d(m) be the second derivative of l(m). Find the second derivative of d(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 43. Suppose 0*c - 5 = 5*c. Sort c, 10, p in descending order.\nAnswer: 10, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.6 (b) 96\/5 (c) -2\/19 (d) 1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 < -1006\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**2 + 41 + 9*b**2 - 41.\nAnswer: -29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29635896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -777\/340 - -38\/17. Let x = -0.43 - -0.33. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 64*m\/3 + 350\/3.\nAnswer: 2*(m + 7)*(m + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517131139 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805210463.\nAnswer: 3, 7, 19, 227, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40, 53, 66, 79?\n\"Answer: 13*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122635 = 10*a - 44955. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70160 and 2241220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from rhepeheorhhrhhereer?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*s + 212, 3*y + 717 = 5*s + 198. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 + 2*r**3 - 3 - r + 2 + 2*r - 4*r**3 in the form n + o*r + f*r**3 + q*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -f + 451, f - 35*w + 36*w = 463. Calculate the greatest common factor of f and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*j - 115 = 0, 0 = 4*o + 9*j - 14*j - 219. Suppose -34 = -18*y + o. Solve y = -5*p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 12*a - 14. Let r be 4\/(7*(8\/18 + (-7704)\/15876)). What is i(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l = 2*l - 88. Which is the closest to -1\/3? (a) -3\/5 (b) 0 (c) -8 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3599694 and 717696?\nAnswer: 230380416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1001 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1799 * -0.3.\nAnswer: -539.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 19642028*q**2. Let z(j) = -2*j**2. Calculate z(h(l)).\nAnswer: -771618527905568*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1, -5, -28, 553, -15 in decreasing order.\nAnswer: 553, 4, 1, -3, -5, -15, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4391*p. Let n(f) = -2352*f - 3. Give y(n(d)).\nAnswer: 10327632*d + 13173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 10)\/(-1 - 20\/(-25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-3 - -1 - (104 - 122))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5075 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x + 505 = -5*c, -x = 0. Let m = 101 + c. Suppose -2\/3*d**2 + m*d + 2\/3 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*s**2\/7 + 22766*s\/7 - 1810.\nAnswer: 2*(4*s + 1267)*(9*s - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -157*q**2 - 796*q + 68. Calculate y(-5).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144 - 132) + (21 - 0) + 6 + -1 + -5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (0 + -10 - -6)) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*y + 3273 = 4051 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.014835252 and 0.7.\nAnswer: 0.685164748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 34 = 5*y. What is the second derivative of 36 - 44*b**y - 61 - 95*b + 25 wrt b?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**3 - 148287096*x + 125178543.\nAnswer: 6*x**2 - 148287096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 21. Suppose -4*n = -u*n - 22. What is the remainder when 52 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7667346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 6. Let k be -4*(3 + (-18)\/4). What is the remainder when 9 is divided by p(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/(-351)*(0 + 9\/(-6))*(13 - -6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + d + 1 = v, -3 = 5*v - 2*d. Sort -16, -4, v in ascending order.\nAnswer: -16, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25849, -25783, -25671, -25513, -25309, -25059?\n\"Answer: 23*p**2 - 3*p - 25869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168168 by 4312.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49875739 - -2063739. Round m to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = 4*w - 9*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 7*n**2 + 8*n + 6. Let a be k(5). Let h(g) = 10*g + 3. Let r(z) = -9*z - 2. Give a*h(l) - 5*r(l).\nAnswer: 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*g**2*w**3 - 2*g**2*w*y**2 + 2*g*y - 74*w**3*y**2 + 3*w**3*y wrt g?\nAnswer: 128*w**3 - 4*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 181, 1405, 4729, 11203, 21877, 37801?\n\"Answer: 175*a**3 - a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 11*m**2 - 2*m + 31. What is h(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4475\/186 + -131\/31. Calculate the common denominator of 6\/11 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -55*z**5 + 2410*z**4 - 38170*z**3 + 253240*z**2 - 556855*z - 109850 = 0.\nAnswer: -2\/11, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/10 - 5\/25. Suppose -n*j - 16 = -7*j. Suppose j*h - 107 = u, 2*h + 132 = 7*h - 3*u. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 - k**5 + 4*k**3)*(3 + 0 - 1) + (4*k**5 - 2*k**5 + k**5)*(-3 - 1 + 3) - k**5 + 5 - 5.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54268273.\nAnswer: 73, 743401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.1 times 0.086?\nAnswer: -10.9306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -343*u**3 - 2*u - 2. Let c be d(-1). Let b = c + -76. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 2. Let p be b(2). Suppose -4*a - 4*x = -20, 2*a - 13 = 24*x - 29*x. Suppose -8*t + a*t = p. Solve -5*k + 30 - 5 = t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -2*a**3\/3 - 49*a**2\/2 - 72*a + 2. Let z be g(-13). What is the highest common factor of 96 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 8)\/(6\/4). Let m be ((-4)\/(-12))\/(5\/(-60)). Put -1, m, w in increasing order.\nAnswer: m, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 - 3*a + 2. Let s be t(6). Let v = s - -38. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 66*c**2\/5 - 288*c\/5 + 224\/5.\nAnswer: -2*(c - 28)*(c - 4)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138006 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 6. Let w be n(7). Let y be (-4)\/(-10)*w*5. Solve y*s + 4 = -4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5655 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 28800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(320)*2 + -2 + 3) + 3 + 5.\nAnswer: 9 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6569.6211 minutes?\nAnswer: 4.562236875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {v: 2, d: 1, k: 4, o: 1, t: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19355763827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 368868 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/90 + 101*d**4\/36 + 388*d**3\/9 + 2*d**2 + 4*d - 17. Suppose s(b) = 0. Calculate b.\nAnswer: -97, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-1 - -2) - (28 - 91).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -20338, 14, -1, 2 in descending order.\nAnswer: 14, 2, -1, -20338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4706 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -964*b**2 - 4 + 180*b + 147*b - 176*b - 1034*b**2 wrt b.\nAnswer: -3996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-12)*(-6)\/8. Sort -1, c, 1\/5, 0 in descending order.\nAnswer: c, 1\/5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/5 + 7*n**4\/5 + 11*n**3\/5 - 7*n**2\/5 - 12*n\/5 = 0.\nAnswer: -4, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/y**(7\/3)*(y*y**(1\/11))**(-11\/2))**(-27\/5) assuming y is positive.\nAnswer: y**(441\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 1017 = 15*m + 10*m. Solve 56 = -121*b + m*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 6) to base 8\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9073430?\nAnswer: 2, 5, 43, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.37 (b) 5 (c) 14 (d) -2\/5 (e) -0.139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 5*u**6\/12 - u**5\/2 - 5*u**4\/4 + 1750. Factor l(n).\nAnswer: 5*n**3*(n - 2)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 293291 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 16. Solve l*j + 4*j = -3*z - 5, 2*j = 5*z + 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1635 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)*w*w*w**(-7\/2))\/(w*w\/(w\/(w**(2\/5)*w))*w**(2\/33)\/w) assuming w is positive.\nAnswer: w**(-571\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/15 + 8\/6. Let b(q) = 2*q**o + 0*q**2 - 5*q**2 - 3*q**2. Let l(a) = -a**2. Determine l(b(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**3 + 4*i**2.\nAnswer: 2*i**2*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 + 44.1. Let p = m - 48. What is the second smallest value in -1\/8, p, 4\/3, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 120 + 65 = 26. Let f(t) = -4*t + 1. Let h be f(-1). Solve 4*l = h*g - 4, -l = l + a*g - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-5) - 876\/(-30). Let r = 35 - s. Let t(n) = -n**3 + 6*n**2 - 8*n + 18. Let d be t(r). Let f(o) = -o**2 + 4*o - 4. Determine f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6012869, 6012867, 6012869, 6012875, 6012885, 6012899, 6012917?\n\"Answer: 2*b**2 - 8*b + 6012875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -193, -415, -643, -871, -1093?\n\"Answer: n**3 - 9*n**2 - 202*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 290.7774.\nAnswer: -290.7774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 44086 = -2*q, -q = 6*r - r - 220430. Is (-24)\/(-60) - r\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2 + (4 + 0 - 5)*(3 - 2 + 1) - 3 + 4 - 2 + 0 - 1 + 2 + 1 + 2 + 0)*(l**3 + 0*l**3 - 3*l**3).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36940024?\nAnswer: 2, 11, 23, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -5.97. Let k = a - -0.02999912. What is k rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 1. Let g be n(-3). Suppose -2*u - 2*v = -6*u + 12, 2*u + g*v - 16 = 0. Which is bigger: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in -131\/3, 6, 1?\nAnswer: -131\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnfe when four letters picked without replacement from {n: 2, p: 1, f: 1, r: 1, e: 1, k: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20496)\/(-10065) + (-27)\/12*96\/90?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + sqrt(6050)*2)\/(sqrt(360) - (sqrt(360) + sqrt(360) + (sqrt(360) - -1*sqrt(360)))))**2.\nAnswer: 2645\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/24 + 27\/(-4). Let w = 10 + p. Solve w - 6 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405 = -234*z + 1688 - 1039 + 1690 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -14\/5, 0.5, -0.33, -2247, -0.4, 0.3?\nAnswer: -2247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -535 - -561. Suppose m*y - 14889 = 5*y. List the prime factors of y.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, 0.4, 7, -0.1, 3\/7, 1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(175) + 3))**2 + sqrt(175) - (sqrt(175) + -2 + 3) - (-1 + (sqrt(175)*-4 + 4 + sqrt(175))**2 + -1).\nAnswer: -1406 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Let c be (-6)\/(4\/2)*-1. Let o(q) = 1 + 0 + q**3 + 4*q - 5*q**3 + 3*q**c. Determine o(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v - 7. Let o(s) = 9*s + 6. Let l(i) = 2*a(i) + 3*o(i). Let h(u) = 7*u + 9. Give -2*h(f) + 5*l(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -830003*n + 30. Let o(u) = 2*u**2 - u**2 - 15 - 11. Let b be o(6). Let i be l(b). Round i to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + i + 4*i + (2*i + 1 - 1)*(-2 + 2 + 1) + 0*i - i + 5*i)*(24*i**2 + 30 + i**3 - 30).\nAnswer: 7*i**4 + 168*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 7*c**2 - 6*c - 10. Let f be k(-7). Suppose 2*b - 2 = 0, -3*z + 2*b = -9 + f. Let y = z + 22. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 51*p**2 - 2 + 8 - 50*p**2 - 5*p. Let h be j(4). Let y(b) = b**3 - 3*b**2 + b + 2. What is y(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + 79. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = 0, 303 = -4*t + 5*m - 98. Let o = t + 110. Solve o*q + 5 = 7*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 10 - 3 + 11)*(7*z + 3*z + 4*z).\nAnswer: 434*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/4 - 15*a**3 + 419*a**2\/2 + 465*a + 961\/4 = 0. Calculate a.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900 and 2880?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4 - (-113955)\/(-420). Let r = z + 272. Factor -10\/7*u**4 + r*u + 2\/7*u**5 + 20\/7*u**3 - 20\/7*u**2 - 2\/7.\nAnswer: 2*(u - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/(-7254)*93*9\/(-14)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 - 72*y + 29. Calculate the remainder when k(-24) is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -292*w - 2033. Is c(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 71. Solve -v = u - 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-2\/27)*r*r**14 assuming r is positive.\nAnswer: r**(430\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**4 + 6377 + 2626*b - 4*b**2 + 7*b**4 + 9*b**4 + 5*b**2 - 12*b**4 wrt b.\nAnswer: -4*b**3 + 2*b + 2626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:52 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 2*s - 8*s. Let w(o) = 4*o**2 - 3*o. Let c(u) = u**2 - u. Let j(p) = -3*c(p) + w(p). What is j(n(h))?\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from daaaadd?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 144 = -21*x. Let v be (581\/77 - 7)*(-1)\/(-2). Let g = 9\/7 + -13\/21. What is the closest to g in x, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4321?\nAnswer: 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 107 - 105 = v, -4*v - 74 = -2*a. Suppose 3*g - 145 = -a. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -3*p**5\/20 + 17*p**4 - 67*p**3\/2 - 124*p - 9. Factor t(j).\nAnswer: -3*j*(j - 67)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**2 - 547*y - 548*y + 1095*y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.06545 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2. Let b = -13 + 16. Let h(g) = -b + 7 - 4 - 5*g. Calculate p(h(i)).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -808 - -807.153. Let d = h - -0.77. What is d rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.1475 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 3. Let m be d(-3). Let t = 11 + m. Let b(s) = -s + 1. Determine b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7717, -33181, -75625, -135049, -211453, -304837, -415201?\nAnswer: -542545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**3 - x**2 + 89*x - 18. Let c be t(-22). What is c rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*u**2 + 477*u**2 - 69 - 63 + 132.\nAnswer: 702*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 2*a**2 - a. Let q(t) = -1198*t**3 + 12*t**2 - 351*t. Let k(n) = -q(n) + 5*y(n). Find the third derivative of k(i) wrt i.\nAnswer: 7158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305097 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15261, 30506, 45749, 60990, 76229, 91466, 106701?\n\"Answer: -m**2 + 15248*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8842a (base 13) in base 11?\nAnswer: -159452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176572408 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: Which is the second biggest value? (a) -0.19244 (b) -3 (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x + x)*(-175 + 387*x + 175)*(-3 + 0 + 4).\nAnswer: -387*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -30) + (-7 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4234)\/203)\/((-16)\/14) and 24\/17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16381\/12840 - 1\/1284. Calculate the common denominator of j and 0\/(-3) - (-162)\/(-44).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 1 = -2*p. Suppose -3*c = -25 - 23. Calculate the remainder when c is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/120 + 3*x**5\/20 + 13*x**4\/12 + 16*x**3\/3 + 8*x**2 + 2. Let y be q(-5). What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*k - 459*k + 983*k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -0.35. Let r = -0.5 - -0.4. Let n = r + 0. What is the smallest value in n, i, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6996 from 20557270452.\nAnswer: 20557263456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 + 2*s**2 + 4*s - 47. Let a be h(-4). Which is smaller: a or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8005 divide 26952835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*x**4 - 240*x**3 - 1479*x**2 - 2601*x.\nAnswer: -3*x*(x + 3)*(2*x + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -222*s + 24651. What is c(111)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -23.59.\nAnswer: 2.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + q + 24, -5*q = r - 4*q - 11. Let d(n) = 11*n - 19. Is d(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64.8 + 66.8. Sort -25, q, 2\/7, 4\/5 in decreasing order.\nAnswer: q, 4\/5, 2\/7, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 10*a**2 + 24*a + 3. Let h be q(6). Solve m = -4*o - 17, 3*m + 6 = -0*o + h*o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(76)*1 + -1)*6 - -2*-4*(0 + sqrt(76)))**2 + 1.\nAnswer: 48*sqrt(19) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -574 - -519. Let t = o - -52. Let a = 8 - 8.03. Sort a, t, 3\/4 in decreasing order.\nAnswer: 3\/4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 22. Suppose -4*j - c - 3 = -j, 3*j + a*c = 3. Let f = 31 + j. Calculate the remainder when 143 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -212*v + 27 - 2995 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/348089 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 - 20?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34398, 34807, 35818, 37701, 40726?\n\"Answer: 45*w**3 + 31*w**2 + w + 34321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from gycpgyg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - 25*p + 4. Let g(j) = -13*j**2 - 76*j + 11. Let i(h) = -4*g(h) + 11*m(h). Find the second derivative of i(s) wrt s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -22*r - 369 - 151 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 7)*-2 + (17 - 26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10441 - 1221563\/117. Let g = x + 1088\/819. What is the common denominator of g and 39\/10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45689481?\nAnswer: 3, 1692203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -516 + 1312. Are 797 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 9*z**2 + 5*z + 32. Let q be k(8). Let m be 1 - -69 - (3 - 5). What is the highest common divisor of q and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.503 - 0.703. Let r = -281 + 282. Let x = -46 - -323\/7. Sort -2\/11, x, r, i in decreasing order.\nAnswer: r, x, -2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*y + 11*y - 5*z, 2*y - 32 = -2*z. What is the remainder when 97 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 40.1 in ascending order.\nAnswer: -5, -3, -1, 40.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13440*d. Let v(n) = 2*n**2 + 2*n + 3. Let l(x) = -9*x**2 - 8*x - 12. Let y(w) = -l(w) - 4*v(w). Determine y(a(b)).\nAnswer: 180633600*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/120750 and -1.\nAnswer: 120750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 15*x**2 + 20*x - 34. Let t(d) = 7*d**2 - 7*d. Let y be t(-1). What is the tens digit of q(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 4, c: 3, y: 7, k: 4, b: 1}. Give prob of sequence xbxp.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -37928, 1358 in ascending order.\nAnswer: -37928, -8, 1358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 12, 0 = -g + 5*g + m - 85. Let w be (-674)\/(-30) - g\/33. Let z = -437\/20 + w. What is the closest to 0.1 in z, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.36 + -0.04. Let o = 37889 + -37889. Sort o, -0.1, c, -6 in descending order.\nAnswer: o, -0.1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 95\/(-20) - (-2)\/(-8). Let z be (j - -2)*1 - -1028. Suppose z + 30 = 5*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.4 + 16. Let i = -4.61 + m. Let c = -0.09 + i. What is the second biggest value in -1\/7, 3\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1657 and 0.5?\nAnswer: -828.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -260, -268, -276?\n\"Answer: -8*p - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13764, 1, 0, -1, 7 in decreasing order.\nAnswer: 13764, 7, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/229 (b) -1 (c) 0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/2*28\/56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4090b (base 12) to base 10\nAnswer: -84251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.55 - 6.95. Let r = f + 6. Put r, -0.2, -3 in decreasing order.\nAnswer: -0.2, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6724154 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -5*b + 71 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 1. Let g(v) = 6*v**2 + 6*v - 7. Let u(r) = g(r) + 4*x(r). Let m = -10 + 14. Is u(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let i(x) = x**2 + 8*x + 10. Let s(l) = l**3 + 5*l**2 + 6*l + 1. Let u be s(-4). Let f be i(u). Solve g + 4 = f*m - 2, 2*m - 5*g - 17 = t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9242 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 13. Calculate the remainder when 3 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 - -226. List the prime factors of b.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.1 + 28.1. Let g = -20\/3 - -6. What is the second smallest value in g, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}